1gap> START_TEST("more.tst"); 2gap> SetInfoLevel( InfoAutGrp, 1 ); 3 4# 5# 6# 7gap> G:=SmallGroup(16,2); 8<pc group of size 16 with 4 generators> 9gap> StructureDescription(G); 10"C4 x C4" 11 12# 13gap> A := AutomorphismGroupPGroup(G);; 14#I step 1: 2^2 -- init automorphisms 15#I step 2: 2^2 -- aut grp has size 6 16#I final step: convert 17gap> SortedList(A.agOrder); A.glOrder; A.size; 18[ 2, 2, 2, 2 ] 196 2096 21gap> ConvertHybridAutGroup( A ); 22<group of size 96 with 6 generators> 23 24# 25gap> A := AutomorphismGroupPGroup(G, "Full");; 26#I step 1: 2^2 -- init automorphisms 27#I step 2: 2^2 -- aut grp has size 6 28#I final step: convert 29gap> SortedList(A.agOrder); A.glOrder; A.size; 30[ 2, 2, 2, 2 ] 316 3296 33gap> ConvertHybridAutGroup( A ); 34<group of size 96 with 6 generators> 35 36# 37gap> A := AutomorphismGroupPGroup(G, "Over");; 38#I step 1: 2^2 -- init automorphisms 39#I step 2: 2^2 -- aut grp has size 6 40#I final step: convert 41gap> SortedList(A.agOrder); A.glOrder; A.size; 42[ 2, 2, 2, 2, 2, 3 ] 431 4496 45gap> ConvertHybridAutGroup( A ); 46<group of size 96 with 6 generators> 47 48# 49gap> A := AutomorphismGroupPGroup(G, "Char");; 50#I step 1: 2^2 -- init automorphisms 51#I step 2: 2^2 -- aut grp has size 6 52#I final step: convert 53gap> SortedList(A.agOrder); A.glOrder; A.size; 54[ 2, 2, 2, 2 ] 556 5696 57gap> ConvertHybridAutGroup( A ); 58<group of size 96 with 6 generators> 59 60# 61# 62# 63gap> G:=SmallGroup(32,50); 64<pc group of size 32 with 5 generators> 65 66# 67gap> A := AutomorphismGroupPGroup(G);; 68#I step 1: 2^4 -- init automorphisms 69#I step 2: 2^1 -- aut grp has size 120 70#I final step: convert 71gap> SortedList(A.agOrder); A.glOrder; A.size; 72[ 2, 2, 2, 2 ] 73120 741920 75gap> ConvertHybridAutGroup( A ); 76<group of size 1920 with 6 generators> 77 78# 79gap> A := AutomorphismGroupPGroup(G, "Full");; 80#I step 1: 2^4 -- init automorphisms 81#I step 2: 2^1 -- aut grp has size 20160 82#I final step: convert 83gap> SortedList(A.agOrder); A.glOrder; A.size; 84[ 2, 2, 2, 2 ] 85120 861920 87gap> ConvertHybridAutGroup( A ); 88<group of size 1920 with 7 generators> 89 90# 91gap> A := AutomorphismGroupPGroup(G, "Over");; 92#I step 1: 2^4 -- init automorphisms 93#I step 2: 2^1 -- aut grp has size 120 94#I final step: convert 95gap> SortedList(A.agOrder); A.glOrder; A.size; 96[ 2, 2, 2, 2 ] 97120 981920 99gap> ConvertHybridAutGroup( A ); 100<group of size 1920 with 6 generators> 101 102# 103gap> A := AutomorphismGroupPGroup(G, "Char");; 104#I step 1: 2^4 -- init automorphisms 105#I step 2: 2^1 -- aut grp has size 20160 106#I final step: convert 107gap> SortedList(A.agOrder); A.glOrder; A.size; 108[ 2, 2, 2, 2 ] 109120 1101920 111gap> ConvertHybridAutGroup( A ); 112<group of size 1920 with 7 generators> 113 114# 115# 116# 117gap> G := SmallGroup(3^5, 61); 118<pc group of size 243 with 5 generators> 119gap> StructureDescription(G); 120"C9 x C3 x C3 x C3" 121 122# 123gap> A := AutomorphismGroupPGroup(G);; 124#I step 1: 3^4 -- init automorphisms 125#I step 2: 3^1 -- aut grp has size 606528 126#I final step: convert 127gap> SortedList(A.agOrder); A.glOrder; A.size; 128[ 2, 2, 3, 3, 3, 3, 3, 3, 3 ] 1295616 13049128768 131gap> ConvertHybridAutGroup( A ); 132<group of size 49128768 with 11 generators> 133 134# 135gap> A := AutomorphismGroupPGroup(G, "Full");; 136#I step 1: 3^4 -- init automorphisms 137#I step 2: 3^1 -- aut grp has size 24261120 138#I final step: convert 139gap> SortedList(A.agOrder); A.glOrder; A.size; 140[ 2, 2, 3, 3, 3, 3, 3, 3, 3 ] 1415616 14249128768 143gap> ConvertHybridAutGroup( A ); 144<group of size 49128768 with 11 generators> 145 146# 147gap> A := AutomorphismGroupPGroup(G, "Over");; 148#I step 1: 3^4 -- init automorphisms 149#I step 2: 3^1 -- aut grp has size 606528 150#I final step: convert 151gap> SortedList(A.agOrder); A.glOrder; A.size; 152[ 2, 2, 3, 3, 3, 3, 3, 3, 3 ] 1535616 15449128768 155gap> ConvertHybridAutGroup( A ); 156<group of size 49128768 with 11 generators> 157 158# 159gap> A := AutomorphismGroupPGroup(G, "Char");; 160#I step 1: 3^4 -- init automorphisms 161#I step 2: 3^1 -- aut grp has size 606528 162#I final step: convert 163gap> SortedList(A.agOrder); A.glOrder; A.size; 164[ 2, 3, 3, 3, 3 ] 165303264 16649128768 167gap> ConvertHybridAutGroup( A ); 168<group of size 49128768 with 9 generators> 169 170# 171# 172# 173gap> G := SmallGroup(11^5, 81); 174<pc group of size 161051 with 5 generators> 175gap> StructureDescription(G); 176"C11 x C11 x ((C11 x C11) : C11)" 177 178# 179gap> A := AutomorphismGroupPGroup(G);; 180#I step 1: 11^4 -- init automorphisms 181#I step 2: 11^1 -- aut grp has size 2551047840000 182#I final step: convert 183gap> SortedList(A.agOrder); A.glOrder; A.size; 184[ 2, 2, 5, 5, 11, 11, 11, 11, 11, 11, 11, 11 ] 1851742400 18637349891425440000 187gap> ConvertHybridAutGroup( A ); 188<group of size 37349891425440000 with 14 generators> 189 190# 191gap> A := AutomorphismGroupPGroup(G, "Full");; 192#I step 1: 11^4 -- init automorphisms 193#I step 2: 11^1 -- aut grp has size 41393302251840000 194#I final step: convert 195gap> SortedList(A.agOrder); A.glOrder; A.size; 196[ 2, 5, 11, 11, 11, 11 ] 197255104784000 19837349891425440000 199gap> ConvertHybridAutGroup( A ); 200<group of size 37349891425440000 with 16162 generators> 201 202# 203gap> A := AutomorphismGroupPGroup(G, "Over");; 204#I step 1: 11^4 -- init automorphisms 205#I step 2: 11^1 -- aut grp has size 2551047840000 206#I final step: convert 207gap> SortedList(A.agOrder); A.glOrder; A.size; 208[ 2, 2, 5, 5, 11, 11, 11, 11, 11, 11, 11, 11 ] 2091742400 21037349891425440000 211gap> ConvertHybridAutGroup( A ); 212<group of size 37349891425440000 with 14 generators> 213 214# 215gap> A := AutomorphismGroupPGroup(G, "Char");; 216#I step 1: 11^4 -- init automorphisms 217#I step 2: 11^1 -- aut grp has size 2551047840000 218#I final step: convert 219gap> SortedList(A.agOrder); A.glOrder; A.size; 220[ 2, 5, 11, 11, 11, 11 ] 221255104784000 22237349891425440000 223gap> ConvertHybridAutGroup( A ); 224<group of size 37349891425440000 with 11 generators> 225 226# 227gap> STOP_TEST( "more.tst" ,1); 228