← #72260257
Subgroups — #72260257
Order 5760.
2450 conjugacy classes of subgroups.
The subgroup lattice has 1176 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72260251 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C3×#11746527 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72230301 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | D5×#63818 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C2×C4×C3⋊D3×AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | D3×#64900 | — | 3 | 2 | no | maximal |
| 7 | C22×C3⋊D3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 8 | C2×C4×D5×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×C4×C3⋊ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 10 | C3×#91989 | C22 | 1 | 2 | yes | — |
| 11 | C2×C32×C4×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 12 | #13088746 | — | 2 | 1 | no | — |
| 13 | #13088735 | — | 2 | 1 | no | — |
| 14 | #13088733 | C4 | 1 | 2 | yes | complemented |
| 15 | C4×ΓL(1,𝔽16)⋊D3 | — | 2 | 1 | no | — |
| 16 | #13088724 | — | 2 | 1 | no | — |
| 17 | #13088723 | C4 | 1 | 2 | yes | complemented |
| 18 | C2×AGL(1,𝔽5)×C3⋊Dic3 | — | 2 | 1 | no | — |
| 19 | C4×C3⋊D3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 20 | C4×C3⋊D3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 21 | C4×C3⋊D3×AGL(1,𝔽5) | C4 | 1 | 2 | yes | complemented |
| 22 | C4×C3⋊D3×AGL(1,𝔽5) | C4 | 1 | 2 | yes | complemented |
| 23 | #13087648 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #13087356 | C4 | 1 | 2 | yes | complemented |
| 25 | C5×#63818 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | C3×D5×#208 | C22 | 1 | 2 | yes | — |
| 27 | #13085643 | — | 2 | 1 | no | — |
| 28 | #13085642 | — | 2 | 1 | no | — |
| 29 | D5×#3712 | — | 2 | 1 | no | — |
| 30 | D5×#3710 | — | 2 | 1 | no | — |
| 31 | #11783183 | — | 5 | 1 | no | maximal, Hall |
| 32 | D3×#4130 | — | 3 | 2 | no | — |
| 33 | C2×C4×D3×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 34 | C2×C4×D3×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 35 | D3×D5×M16 | — | 3 | 2 | no | — |
| 36 | #11746771 | — | 3 | 2 | no | — |
| 37 | C3×#64900 | — | 3 | 2 | no | — |
| 38 | #11746527 | D3 | 1 | 2 | yes | complemented |
| 39 | #11746522 | — | 3 | 2 | no | — |
| 40 | C22×D5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 41 | C22×C3⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 42 | C22×C32×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 43 | C2×ΓL(1,𝔽16)⋊D3 | — | 2 | 2 | no | — |
| 44 | C2×C3⋊D3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 45 | C2×C3⋊D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 46 | C2×C3⋊D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 47 | C2×C4×C3⋊D15 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C2×C4×C5×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C2×C32×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 50 | C2×#67137 | Q8 | 1 | 1 | yes | characteristic |
| 51 | C2×C3⋊D3×Dic5 | Q8 | 1 | 1 | yes | characteristic |
| 52 | C2×D5×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 53 | C4×D5×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C4×D5×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | C4×D5×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C4×D5×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | C4×D5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 58 | C4×D5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 59 | C4×D5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 60 | C4×D5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 61 | C4×C3⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 62 | C4×C3⋊ΓL(1,𝔽16) | C2×C4 | 1 | 2 | yes | complemented |
| 63 | C3×#6763 | — | 2 | 2 | no | — |
| 64 | C3×C4⋊ΓL(1,𝔽16) | C2×C4 | 1 | 4 | yes | complemented |
| 65 | C3×C4×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 66 | C32×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 67 | C32×C4×AGL(1,𝔽5) | C2×C4 | 1 | 2 | yes | complemented |
| 68 | #10623979 | — | 2 | 2 | no | — |
| 69 | #10623978 | — | 2 | 2 | no | — |
| 70 | ΓL(1,𝔽16)⋊Dic3 | — | 2 | 2 | no | — |
| 71 | AGL(1,𝔽5)×C3⋊Dic3 | — | 2 | 2 | no | — |
| 72 | AGL(1,𝔽5)×C3⋊Dic3 | — | 2 | 2 | no | — |
| 73 | C3×#6710 | C2×C4 | 1 | 2 | yes | complemented |
| 74 | C3×C5×#208 | C2×C4 | 1 | 2 | yes | complemented |
| 75 | #10623820 | — | 2 | 1 | no | — |
| 76 | #10623818 | — | 2 | 1 | no | — |
| 77 | #10623797 | — | 2 | 2 | no | — |
| 78 | #10623794 | — | 2 | 2 | no | — |
| 79 | C5×#3712 | — | 2 | 1 | no | — |
| 80 | C5×#3710 | — | 2 | 1 | no | — |
| 81 | C3×#6649 | — | 2 | 2 | no | — |
| 82 | C3×D5×C3⋊C8 | — | 2 | 2 | no | — |
| 83 | C2×#64900 | — | 9 | 1 | no | Hall |
| 84 | C2×C42×C3⋊D3 | — | 5 | 1 | no | — |
| 85 | #10594969 | — | 5 | 1 | no | — |
| 86 | C2×#63818 | — | 5 | 1 | no | — |
| 87 | C3×#4523 | — | 5 | 2 | no | — |
| 88 | #10589160 | — | 5 | 2 | no | — |
| 89 | C22×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 90 | C22×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 91 | C2×C4×D3×D5 | — | 3 | 2 | no | — |
| 92 | C2×C4×D3×D5 | — | 6 | 1 | no | — |
| 93 | #91989 | C2×D3 | 1 | 2 | yes | — |
| 94 | C2×C4×ΓL(1,𝔽16) | — | 3 | 2 | no | — |
| 95 | C2×C4×ΓL(1,𝔽16) | — | 6 | 1 | no | — |
| 96 | C3×#4130 | — | 3 | 2 | no | — |
| 97 | C2×C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 98 | C2×C3×C4×AGL(1,𝔽5) | C2×D3 | 1 | 2 | yes | — |
| 99 | D3×C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 100 | #91923 | — | 6 | 2 | no | — |
| 101 | C2×Dic3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 102 | C2×Dic3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 103 | D3×C4⋊AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 104 | C4×D3×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 105 | C4×D3×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 106 | C4×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 107 | C4×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 108 | C4×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 109 | C4×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 110 | C4×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 111 | C4×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 112 | C4×D3×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 113 | #91909 | — | 6 | 2 | no | — |
| 114 | #91907 | — | 3 | 4 | no | — |
| 115 | M16×D15 | — | 3 | 2 | no | — |
| 116 | C5×D3×M16 | — | 3 | 2 | no | — |
| 117 | C3×D5×M16 | — | 3 | 2 | no | — |
| 118 | #91292 | — | 3 | 2 | no | — |
| 119 | D3×#681 | — | 3 | 2 | no | — |
| 120 | D5×#208 | C2×D3 | 1 | 2 | yes | — |
| 121 | #91246 | — | 6 | 2 | no | — |
| 122 | D3×#676 | — | 6 | 2 | no | — |
| 123 | D5×ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 124 | D3×C8×D5 | — | 6 | 2 | no | — |
| 125 | D3×#339 | — | 15 | 2 | no | — |
| 126 | C22×C3⋊D15 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 127 | C22×C5×C3⋊D3 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 128 | C22×C32×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C2×D5×C3⋊D3 | — | 2 | 4 | no | — |
| 130 | C2×D5×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 131 | C2×D5×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 132 | C2×D5×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 133 | C2×D5×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 134 | C2×C3⋊ΓL(1,𝔽16) | — | 2 | 4 | no | — |
| 135 | C2×C3⋊ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 136 | C2×C3×ΓL(1,𝔽16) | — | 2 | 4 | no | — |
| 137 | C2×C32×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 138 | C2×C32×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 139 | ΓL(1,𝔽16)⋊D3 | — | 4 | 4 | no | — |
| 140 | C3⋊D3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 141 | C3⋊D3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 142 | C2×C32×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 143 | C2×C3⋊Dic15 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 144 | C4×C3⋊D15 | C42 | 1 | 1 | yes | characteristic |
| 145 | C4×C3⋊D15 | C42 | 1 | 1 | yes | characteristic |
| 146 | C4×C3⋊D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 147 | C4×C3⋊D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 148 | C2×C5×C3⋊Dic3 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 149 | C4×C5×C3⋊D3 | C42 | 1 | 1 | yes | characteristic |
| 150 | C4×C5×C3⋊D3 | C42 | 1 | 1 | yes | characteristic |
| 151 | C4×C5×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 152 | C4×C5×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 153 | C2×C32×Dic5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 154 | C32×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 155 | C32×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 156 | C32×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 157 | C32×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 158 | #67137 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 159 | #67137 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 160 | #67137 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 161 | #67137 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 162 | C3⋊D3×Dic5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 163 | C3⋊D3×Dic5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 164 | C3⋊D3×Dic5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 165 | C3⋊D3×Dic5 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 166 | D5×C3⋊Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 167 | D5×C3⋊Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 168 | D5×C3⋊Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 169 | D5×C3⋊Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 170 | C3×C3⋊#168 | — | 2 | 2 | no | — |
| 171 | C3×C5×C3⋊C8 | — | 2 | 2 | no | — |
| 172 | C2×#4130 | — | 9 | 1 | no | — |
| 173 | C22×C4×AGL(1,𝔽5) | — | 9 | 1 | no | — |
| 174 | C2×D5×M16 | — | 9 | 1 | no | — |
| 175 | #64900 | — | 3 | 2 | no | — |
| 176 | #64900 | — | 9 | 2 | no | — |
| 177 | C22×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 178 | C22×C4×C3⋊D3 | — | 10 | 1 | no | — |
| 179 | C2×C32×C42 | — | 5 | 1 | no | — |
| 180 | C2×C4×C3⋊Dic3 | — | 5 | 1 | no | — |
| 181 | C2×C4×C3⋊Dic3 | — | 10 | 1 | no | — |
| 182 | C42×C3⋊D3 | — | 5 | 2 | no | — |
| 183 | C42×C3⋊D3 | — | 5 | 2 | no | — |
| 184 | C42×C3⋊D3 | — | 10 | 1 | no | — |
| 185 | C42×C3⋊D3 | — | 10 | 1 | no | — |
| 186 | C3×#926 | — | 5 | 2 | no | — |
| 187 | C2×C3×#208 | — | 5 | 2 | no | — |
| 188 | #63974 | — | 10 | 1 | no | — |
| 189 | #63957 | — | 10 | 1 | no | — |
| 190 | #63900 | — | 5 | 2 | no | — |
| 191 | C4×#624 | — | 10 | 1 | no | — |
| 192 | #63874 | — | 10 | 1 | no | — |
| 193 | #63849 | — | 5 | 2 | no | — |
| 194 | C2×#3712 | — | 10 | 1 | no | — |
| 195 | #63818 | — | 5 | 1 | no | — |
| 196 | #63818 | — | 5 | 2 | no | — |
| 197 | #63818 | — | 10 | 1 | no | — |
| 198 | #63818 | — | 10 | 1 | no | — |
| 199 | #63818 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 200 | C2×#3710 | — | 10 | 1 | no | — |
| 201 | C22×D3×D5 | — | 3 | 2 | no | — |
| 202 | C22×D3×D5 | — | 6 | 1 | no | — |
| 203 | C22×ΓL(1,𝔽16) | — | 6 | 2 | no | — |
| 204 | C22×ΓL(1,𝔽16) | — | 6 | 2 | no | — |
| 205 | C22×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 206 | C22×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 207 | C2×D3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 208 | C2×D3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 209 | C2×D3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 210 | C2×D3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 211 | C2×D3×AGL(1,𝔽5) | — | 6 | 16 | no | — |
| 212 | C2×D3×AGL(1,𝔽5) | — | 6 | 16 | no | — |
| 213 | C2×D3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 214 | C2×C4×D15 | — | 3 | 2 | no | — |
| 215 | C2×C4×D15 | — | 6 | 1 | no | — |
| 216 | C2×C4×C5×D3 | — | 3 | 2 | no | — |
| 217 | C2×C4×C5×D3 | — | 6 | 1 | no | — |
| 218 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 219 | C2×C3×C4×D5 | C22×D3 | 1 | 2 | yes | — |
| 220 | C2×#1200 | — | 3 | 2 | no | — |
| 221 | C2×#1200 | — | 6 | 1 | no | — |
| 222 | C2×D3×Dic5 | — | 3 | 2 | no | — |
| 223 | C2×D3×Dic5 | — | 6 | 1 | no | — |
| 224 | C2×D5×Dic3 | — | 3 | 2 | no | — |
| 225 | C2×D5×Dic3 | — | 6 | 1 | no | — |
| 226 | C4×D3×D5 | — | 3 | 2 | no | — |
| 227 | C4×D3×D5 | — | 3 | 2 | no | — |
| 228 | C4×D3×D5 | — | 3 | 2 | no | — |
| 229 | C4×D3×D5 | — | 3 | 2 | no | — |
| 230 | C4×D3×D5 | — | 3 | 2 | no | — |
| 231 | C4×D3×D5 | — | 3 | 2 | no | — |
| 232 | C4×D3×D5 | — | 3 | 2 | no | — |
| 233 | C4×D3×D5 | — | 3 | 2 | no | — |
| 234 | C4×D3×D5 | — | 6 | 1 | no | — |
| 235 | C4×D3×D5 | — | 6 | 1 | no | — |
| 236 | C4×D3×D5 | — | 6 | 1 | no | — |
| 237 | C4×D3×D5 | — | 6 | 1 | no | — |
| 238 | C4×D3×D5 | — | 6 | 1 | no | — |
| 239 | C4×D3×D5 | — | 6 | 1 | no | — |
| 240 | C4×D3×D5 | — | 6 | 1 | no | — |
| 241 | C4×D3×D5 | — | 6 | 1 | no | — |
| 242 | #6763 | — | 2 | 2 | no | — |
| 243 | C4⋊ΓL(1,𝔽16) | C4×D3 | 1 | 4 | yes | complemented |
| 244 | C4×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 245 | C4×ΓL(1,𝔽16) | — | 3 | 4 | no | — |
| 246 | C4×ΓL(1,𝔽16) | — | 6 | 2 | no | — |
| 247 | C4×ΓL(1,𝔽16) | — | 6 | 2 | no | — |
| 248 | C4×ΓL(1,𝔽16) | — | 6 | 2 | no | — |
| 249 | C3×C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 250 | C3×C4⋊AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 251 | C3×C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 252 | C3×C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 253 | C3×C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 254 | C3×C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 255 | C3×C4×AGL(1,𝔽5) | C4×D3 | 1 | 4 | yes | complemented |
| 256 | Dic3⋊AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 257 | (C2×D3)⋊AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 258 | Dic3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 259 | Dic3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 260 | Dic3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 261 | Dic3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 262 | Dic3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 263 | C3×C5×M16 | — | 3 | 2 | no | — |
| 264 | #6710 | C4×D3 | 1 | 2 | yes | complemented |
| 265 | #6705 | — | 6 | 2 | no | — |
| 266 | C8×D15 | — | 6 | 2 | no | — |
| 267 | C5×#208 | C4×D3 | 1 | 2 | yes | complemented |
| 268 | C5×ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 269 | C5×D3×C8 | — | 6 | 2 | no | — |
| 270 | C3×#681 | — | 3 | 2 | no | — |
| 271 | C3×#676 | — | 6 | 2 | no | — |
| 272 | C3×C8×D5 | — | 6 | 2 | no | — |
| 273 | #6651 | — | 6 | 2 | no | — |
| 274 | #6650 | — | 6 | 2 | no | — |
| 275 | #6649 | — | 2 | 2 | no | — |
| 276 | #6648 | — | 6 | 2 | no | — |
| 277 | D3×#168 | — | 6 | 2 | no | — |
| 278 | D5×C3⋊C8 | — | 2 | 2 | no | — |
| 279 | C2×D3×M16 | — | 15 | 2 | no | — |
| 280 | D3×#117 | — | 15 | 2 | no | — |
| 281 | C2×C42×D3 | — | 15 | 2 | no | — |
| 282 | C2×C42×D3 | — | 30 | 1 | no | — |
| 283 | C3×#339 | — | 15 | 2 | no | — |
| 284 | #4555 | — | 15 | 2 | no | — |
| 285 | #4532 | — | 15 | 2 | no | — |
| 286 | #4523 | — | 5 | 2 | no | — |
| 287 | C22×C32×C5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 288 | C2×C3⋊D15 | — | 2 | 2 | no | — |
| 289 | C2×C3⋊D15 | #95 | 1 | 1 | yes | characteristic |
| 290 | C2×C3⋊D15 | #95 | 1 | 1 | yes | characteristic |
| 291 | C2×C5×C3⋊D3 | — | 2 | 2 | no | — |
| 292 | C2×C5×C3⋊D3 | #95 | 1 | 1 | yes | characteristic |
| 293 | C2×C5×C3⋊D3 | #95 | 1 | 1 | yes | characteristic |
| 294 | C2×C32×D5 | — | 2 | 2 | no | — |
| 295 | C2×C32×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 296 | C2×C32×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 297 | D5×C3⋊D3 | — | 2 | 2 | no | — |
| 298 | D5×C3⋊D3 | — | 2 | 2 | no | — |
| 299 | D5×C3⋊D3 | — | 2 | 2 | no | — |
| 300 | D5×C3⋊D3 | #104 | 1 | 4 | yes | — |
| 301 | C3⋊ΓL(1,𝔽16) | — | 2 | 4 | no | — |
| 302 | C3×ΓL(1,𝔽16) | — | 4 | 4 | no | — |
| 303 | C32×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 304 | C32×C4×C5 | C2×C42 | 1 | 1 | yes | characteristic |
| 305 | C32×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 306 | C3⋊Dic15 | #95 | 1 | 1 | yes | characteristic |
| 307 | C3⋊Dic15 | #95 | 1 | 1 | yes | characteristic |
| 308 | C5×C3⋊Dic3 | #95 | 1 | 1 | yes | characteristic |
| 309 | C5×C3⋊Dic3 | #95 | 1 | 1 | yes | characteristic |
| 310 | C32×Dic5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 311 | C32×Dic5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 312 | C23×AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 313 | C22×C4×D5 | — | 9 | 1 | no | — |
| 314 | C2×C22⋊AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 315 | #4130 | — | 3 | 2 | no | — |
| 316 | #4130 | — | 9 | 2 | no | — |
| 317 | #4130 | — | 18 | 1 | no | — |
| 318 | #4130 | — | 18 | 1 | no | — |
| 319 | C2×C4⋊AGL(1,𝔽5) | — | 9 | 2 | no | — |
| 320 | C2×C4×AGL(1,𝔽5) | — | 9 | 1 | no | — |
| 321 | C2×C4×AGL(1,𝔽5) | — | 9 | 2 | no | — |
| 322 | C2×C4×AGL(1,𝔽5) | — | 9 | 2 | no | — |
| 323 | C2×C4×AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 324 | C2×C4×AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 325 | C2×C4×AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 326 | C2×C4×AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 327 | C2×C4×AGL(1,𝔽5) | D32 | 1 | 1 | yes | characteristic |
| 328 | C2×C5×M16 | — | 9 | 1 | no | — |
| 329 | C2×#681 | — | 9 | 1 | no | — |
| 330 | D5×M16 | — | 3 | 2 | no | — |
| 331 | D5×M16 | — | 9 | 2 | no | — |
| 332 | D5×M16 | — | 18 | 1 | no | — |
| 333 | D5×M16 | — | 18 | 1 | no | — |
| 334 | C2×#676 | — | 18 | 1 | no | — |
| 335 | C2×C8×D5 | — | 18 | 1 | no | — |
| 336 | C23×C3⋊D3 | — | 5 | 1 | no | — |
| 337 | C22×C32×C4 | — | 5 | 1 | no | — |
| 338 | C22×C32×C4 | — | 10 | 1 | no | — |
| 339 | C22×C3⋊Dic3 | — | 5 | 1 | no | — |
| 340 | C22×C3⋊Dic3 | — | 10 | 1 | no | — |
| 341 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 342 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 343 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 344 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 345 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 346 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 347 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 348 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 349 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 350 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 351 | C2×C4×C3⋊D3 | — | 5 | 1 | no | — |
| 352 | C2×C4×C3⋊D3 | — | 10 | 2 | no | — |
| 353 | C2×C4×C3⋊D3 | — | 10 | 2 | no | — |
| 354 | C2×C4×C3⋊D3 | — | 10 | 8 | no | — |
| 355 | C2×C4×C3⋊D3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 356 | C2×#624 | — | 10 | 2 | no | — |
| 357 | C32×C42 | — | 5 | 2 | no | — |
| 358 | C32×C42 | — | 10 | 1 | no | — |
| 359 | C4×C3⋊Dic3 | — | 5 | 2 | no | — |
| 360 | C4×C3⋊Dic3 | — | 10 | 2 | no | — |
| 361 | C4×C3⋊Dic3 | — | 10 | 2 | no | — |
| 362 | C4×C3⋊Dic3 | — | 10 | 1 | no | — |
| 363 | C3×#217 | — | 10 | 2 | no | — |
| 364 | C3×C4⋊Dic3 | — | 5 | 4 | no | — |
| 365 | C3×C4×Dic3 | — | 10 | 2 | no | — |
| 366 | C3×#208 | — | 5 | 2 | no | — |
| 367 | C3×#208 | — | 10 | 2 | no | — |
| 368 | C3×#208 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 369 | C2×C3×C3⋊C8 | — | 10 | 2 | no | — |
| 370 | #3724 | — | 10 | 2 | no | — |
| 371 | #3722 | — | 10 | 2 | no | — |
| 372 | Dic32 | — | 10 | 2 | no | — |
| 373 | #3712 | — | 2 | 1 | no | — |
| 374 | #3712 | — | 10 | 2 | no | — |
| 375 | #3712 | — | 10 | 1 | no | — |
| 376 | #3710 | — | 2 | 1 | no | — |
| 377 | #3710 | — | 10 | 2 | no | — |
| 378 | #3710 | — | 10 | 1 | no | — |
| 379 | C2×#339 | — | 45 | 1 | no | Sylow |
| 380 | C22×D15 | — | 3 | 2 | no | — |
| 381 | C22×D15 | — | 6 | 1 | no | — |
| 382 | C22×C5×D3 | — | 3 | 2 | no | — |
| 383 | C22×C5×D3 | — | 6 | 1 | no | — |
| 384 | C22×C3×D5 | — | 2 | 1 | no | — |
| 385 | C22×C3×D5 | D3×D4 | 1 | 2 | yes | — |
| 386 | C2×D3×D5 | — | 3 | 2 | no | — |
| 387 | C2×D3×D5 | — | 3 | 2 | no | — |
| 388 | C2×D3×D5 | — | 3 | 2 | no | — |
| 389 | C2×D3×D5 | — | 3 | 2 | no | — |
| 390 | C2×D3×D5 | — | 6 | 8 | no | — |
| 391 | C2×D3×D5 | — | 6 | 1 | no | — |
| 392 | C2×D3×D5 | — | 6 | 1 | no | — |
| 393 | C2×D3×D5 | — | 6 | 1 | no | — |
| 394 | C2×D3×D5 | — | 6 | 1 | no | — |
| 395 | C2×D3×D5 | — | 6 | 8 | no | — |
| 396 | C2×ΓL(1,𝔽16) | — | 2 | 4 | no | — |
| 397 | C2×ΓL(1,𝔽16) | — | 6 | 4 | no | — |
| 398 | C2×ΓL(1,𝔽16) | — | 6 | 8 | no | — |
| 399 | C2×ΓL(1,𝔽16) | — | 6 | 8 | no | — |
| 400 | C2×ΓL(1,𝔽16) | — | 6 | 4 | no | — |
| 401 | C2×C3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 402 | C2×C3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 403 | C2×C3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 404 | C2×C3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 405 | C2×C3×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 406 | D3×AGL(1,𝔽5) | — | 6 | 16 | no | — |
| 407 | D3×AGL(1,𝔽5) | — | 6 | 16 | no | — |
| 408 | D3×AGL(1,𝔽5) | — | 6 | 16 | no | — |
| 409 | D3×AGL(1,𝔽5) | — | 6 | 16 | no | — |
| 410 | D3×AGL(1,𝔽5) | — | 12 | 8 | no | — |
| 411 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 412 | C2×C3×C4×C5 | C2×C4×D3 | 1 | 2 | yes | — |
| 413 | C2×Dic15 | — | 3 | 2 | no | — |
| 414 | C2×Dic15 | — | 6 | 1 | no | — |
| 415 | C4×D15 | — | 3 | 2 | no | — |
| 416 | C4×D15 | — | 3 | 2 | no | — |
| 417 | C4×D15 | — | 3 | 2 | no | — |
| 418 | C4×D15 | — | 3 | 2 | no | — |
| 419 | C4×D15 | — | 6 | 1 | no | — |
| 420 | C4×D15 | — | 6 | 1 | no | — |
| 421 | C4×D15 | — | 6 | 1 | no | — |
| 422 | C4×D15 | — | 6 | 1 | no | — |
| 423 | C2×C5×Dic3 | — | 3 | 2 | no | — |
| 424 | C2×C5×Dic3 | — | 6 | 1 | no | — |
| 425 | C4×C5×D3 | — | 3 | 2 | no | — |
| 426 | C4×C5×D3 | — | 3 | 2 | no | — |
| 427 | C4×C5×D3 | — | 3 | 2 | no | — |
| 428 | C4×C5×D3 | — | 3 | 2 | no | — |
| 429 | C4×C5×D3 | — | 6 | 1 | no | — |
| 430 | C4×C5×D3 | — | 6 | 1 | no | — |
| 431 | C4×C5×D3 | — | 6 | 1 | no | — |
| 432 | C4×C5×D3 | — | 6 | 1 | no | — |
| 433 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 434 | C2×C3×Dic5 | D3×Q8 | 1 | 2 | yes | — |
| 435 | C3×C4×D5 | — | 2 | 1 | no | — |
| 436 | C3×C4×D5 | — | 2 | 1 | no | — |
| 437 | C3×C4×D5 | — | 2 | 1 | no | — |
| 438 | C3×C4×D5 | — | 2 | 1 | no | — |
| 439 | C3×C4×D5 | C2×C4×D3 | 1 | 2 | yes | — |
| 440 | C3×C4×D5 | C2×C4×D3 | 1 | 2 | yes | — |
| 441 | C3×C4×D5 | D3×D4 | 1 | 2 | yes | — |
| 442 | C3×C4×D5 | D3×D4 | 1 | 2 | yes | — |
| 443 | #1200 | — | 3 | 2 | no | — |
| 444 | #1200 | — | 3 | 2 | no | — |
| 445 | #1200 | — | 3 | 2 | no | — |
| 446 | #1200 | — | 3 | 2 | no | — |
| 447 | #1200 | — | 6 | 1 | no | — |
| 448 | #1200 | — | 6 | 1 | no | — |
| 449 | #1200 | — | 6 | 1 | no | — |
| 450 | #1200 | — | 6 | 1 | no | — |
| 451 | D3×Dic5 | — | 3 | 2 | no | — |
| 452 | D3×Dic5 | — | 3 | 2 | no | — |
| 453 | D3×Dic5 | — | 3 | 2 | no | — |
| 454 | D3×Dic5 | — | 3 | 2 | no | — |
| 455 | D3×Dic5 | — | 6 | 1 | no | — |
| 456 | D3×Dic5 | — | 6 | 1 | no | — |
| 457 | D3×Dic5 | — | 6 | 1 | no | — |
| 458 | D3×Dic5 | — | 6 | 1 | no | — |
| 459 | D5×Dic3 | — | 3 | 2 | no | — |
| 460 | D5×Dic3 | — | 3 | 2 | no | — |
| 461 | D5×Dic3 | — | 3 | 2 | no | — |
| 462 | D5×Dic3 | — | 3 | 2 | no | — |
| 463 | D5×Dic3 | — | 6 | 1 | no | — |
| 464 | D5×Dic3 | — | 6 | 1 | no | — |
| 465 | D5×Dic3 | — | 6 | 1 | no | — |
| 466 | D5×Dic3 | — | 6 | 1 | no | — |
| 467 | C3×C5×C8 | — | 6 | 2 | no | — |
| 468 | C3⋊#168 | — | 2 | 2 | no | — |
| 469 | C3×#168 | — | 6 | 2 | no | — |
| 470 | C5×C3⋊C8 | — | 2 | 2 | no | — |
| 471 | C22×C4×D3 | — | 15 | 2 | no | — |
| 472 | C22×C4×D3 | — | 30 | 1 | no | — |
| 473 | C22×C4×D3 | — | 30 | 2 | no | — |
| 474 | C22×C4×D3 | — | 30 | 2 | no | — |
| 475 | C2×C3×M16 | — | 15 | 2 | no | — |
| 476 | C3×#117 | — | 15 | 2 | no | — |
| 477 | C2×C3×C42 | — | 5 | 2 | no | — |
| 478 | C2×C3×C42 | — | 10 | 1 | no | — |
| 479 | #926 | — | 5 | 2 | no | — |
| 480 | C2×C4×Dic3 | — | 15 | 2 | no | — |
| 481 | C2×C4×Dic3 | — | 30 | 1 | no | — |
| 482 | C2×C4×Dic3 | — | 30 | 2 | no | — |
| 483 | C2×C4×Dic3 | — | 30 | 2 | no | — |
| 484 | C2×#208 | — | 5 | 2 | no | — |
| 485 | D3×M16 | — | 3 | 2 | no | — |
| 486 | D3×M16 | — | 15 | 2 | no | — |
| 487 | D3×M16 | — | 15 | 2 | no | — |
| 488 | D3×M16 | — | 15 | 2 | no | — |
| 489 | D3×M16 | — | 30 | 2 | no | — |
| 490 | D3×M16 | — | 30 | 2 | no | — |
| 491 | C2×ΓL(1,𝔽25) | — | 30 | 2 | no | — |
| 492 | C2×D3×C8 | — | 30 | 2 | no | — |
| 493 | #892 | — | 15 | 4 | no | — |
| 494 | D3×C4⋊C4 | — | 15 | 4 | no | — |
| 495 | D3×C22⋊C4 | — | 30 | 2 | no | — |
| 496 | #877 | — | 30 | 2 | no | — |
| 497 | #872 | — | 30 | 2 | no | — |
| 498 | C42×D3 | — | 15 | 4 | no | — |
| 499 | C42×D3 | — | 15 | 4 | no | — |
| 500 | C42×D3 | — | 30 | 2 | no | — |
| 501 | C42×D3 | — | 30 | 2 | no | — |
| 502 | C42×D3 | — | 30 | 2 | no | — |
| 503 | C42×D3 | — | 30 | 2 | no | — |
| 504 | C42×D3 | — | 30 | 2 | no | — |
| 505 | C42×D3 | — | 30 | 2 | no | — |
| 506 | C42×D3 | — | 30 | 2 | no | — |
| 507 | C2×C32×C5 | — | 2 | 1 | no | — |
| 508 | C2×C32×C5 | C2×#95 | 1 | 1 | yes | characteristic |
| 509 | C3⋊D15 | — | 2 | 1 | no | — |
| 510 | C3⋊D15 | #339 | 1 | 2 | yes | complemented |
| 511 | C5×C3⋊D3 | — | 2 | 1 | no | — |
| 512 | C5×C3⋊D3 | #339 | 1 | 2 | yes | complemented |
| 513 | C32×D5 | — | 2 | 1 | no | — |
| 514 | C32×D5 | C2×#104 | 1 | 2 | yes | — |
| 515 | C23×D5 | — | 9 | 1 | no | — |
| 516 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 517 | C22×AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 518 | C22×AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 519 | C22×AGL(1,𝔽5) | — | 18 | 8 | no | — |
| 520 | C22×AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 521 | C22×AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 522 | C22×C4×C5 | — | 9 | 1 | no | — |
| 523 | C22×Dic5 | — | 9 | 1 | no | — |
| 524 | C2×C4×D5 | — | 9 | 1 | no | — |
| 525 | C2×C4×D5 | — | 9 | 1 | no | — |
| 526 | C2×C4×D5 | — | 9 | 1 | no | — |
| 527 | C2×C4×D5 | — | 9 | 1 | no | — |
| 528 | C2×C4×D5 | — | 9 | 1 | no | — |
| 529 | C2×C4×D5 | — | 9 | 1 | no | — |
| 530 | C2×C4×D5 | — | 9 | 1 | no | — |
| 531 | C2×C4×D5 | — | 9 | 1 | no | — |
| 532 | C2×C4×D5 | — | 9 | 1 | no | — |
| 533 | C2×C4×D5 | — | 9 | 1 | no | — |
| 534 | C2×C4×D5 | — | 9 | 1 | no | — |
| 535 | C2×C4×D5 | C2×D32 | 1 | 1 | yes | characteristic |
| 536 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 537 | C22⋊AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 538 | C4⋊AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 539 | C4⋊AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 540 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 541 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 542 | C4×AGL(1,𝔽5) | — | 9 | 2 | no | — |
| 543 | C4×AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 544 | C4×AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 545 | C4×AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 546 | C4×AGL(1,𝔽5) | — | 18 | 1 | no | — |
| 547 | C4×AGL(1,𝔽5) | #624 | 1 | 2 | yes | complemented |
| 548 | C5×M16 | — | 3 | 2 | no | — |
| 549 | C5×M16 | — | 18 | 1 | no | — |
| 550 | C2×C5×C8 | — | 18 | 1 | no | — |
| 551 | #681 | — | 3 | 2 | no | — |
| 552 | #681 | — | 18 | 1 | no | — |
| 553 | C2×#168 | — | 18 | 1 | no | — |
| 554 | #676 | — | 6 | 2 | no | — |
| 555 | #676 | — | 18 | 2 | no | — |
| 556 | C8×D5 | — | 6 | 2 | no | — |
| 557 | C8×D5 | — | 18 | 2 | no | — |
| 558 | C23×C32 | — | 5 | 1 | no | — |
| 559 | C22×C3⋊D3 | — | 5 | 1 | no | — |
| 560 | C22×C3⋊D3 | — | 5 | 1 | no | — |
| 561 | C22×C3⋊D3 | — | 5 | 1 | no | — |
| 562 | C22×C3⋊D3 | — | 5 | 1 | no | — |
| 563 | C22×C3⋊D3 | — | 5 | 1 | no | — |
| 564 | C22×C3⋊D3 | — | 10 | 4 | no | — |
| 565 | C22×C3⋊D3 | C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 566 | C2×C32×C4 | — | 5 | 1 | no | — |
| 567 | C2×C32×C4 | — | 5 | 1 | no | — |
| 568 | C2×C32×C4 | — | 5 | 1 | no | — |
| 569 | C2×C32×C4 | — | 5 | 1 | no | — |
| 570 | C2×C32×C4 | — | 5 | 1 | no | — |
| 571 | C2×C32×C4 | — | 10 | 2 | no | — |
| 572 | C2×C32×C4 | — | 10 | 4 | no | — |
| 573 | C2×C32×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 574 | C2×C3⋊Dic3 | — | 5 | 1 | no | — |
| 575 | C2×C3⋊Dic3 | — | 5 | 1 | no | — |
| 576 | C2×C3⋊Dic3 | — | 5 | 1 | no | — |
| 577 | C2×C3⋊Dic3 | — | 5 | 1 | no | — |
| 578 | C2×C3⋊Dic3 | — | 5 | 1 | no | — |
| 579 | C2×C3⋊Dic3 | — | 10 | 2 | no | — |
| 580 | C2×C3⋊Dic3 | — | 10 | 4 | no | — |
| 581 | C2×C3⋊Dic3 | C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 582 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 583 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 584 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 585 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 586 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 587 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 588 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 589 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 590 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 591 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 592 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 593 | C4×C3⋊D3 | — | 5 | 1 | no | — |
| 594 | C4×C3⋊D3 | — | 10 | 8 | no | — |
| 595 | C4×C3⋊D3 | — | 10 | 8 | no | — |
| 596 | C4×C3⋊D3 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 597 | C4×C3⋊D3 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 598 | C4×C3⋊D3 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 599 | C4×C3⋊D3 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 600 | C2×C3×Dic3 | — | 10 | 4 | no | — |
| 601 | #624 | — | 20 | 4 | no | — |
| 602 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 603 | C3×C3⋊C8 | — | 10 | 2 | no | — |
| 604 | C22×M16 | — | 45 | 1 | no | — |
| 605 | C2×#117 | — | 45 | 1 | no | — |
| 606 | C22×C42 | — | 45 | 1 | no | — |
| 607 | #339 | — | 15 | 2 | no | — |
| 608 | #339 | — | 45 | 2 | no | — |
| 609 | C22×C3×C5 | — | 2 | 1 | no | — |
| 610 | C22×C3×C5 | D3×C4⋊C4 | 1 | 2 | yes | — |
| 611 | C2×D15 | — | 3 | 2 | no | — |
| 612 | C2×D15 | — | 3 | 2 | no | — |
| 613 | C2×D15 | — | 6 | 1 | no | — |
| 614 | C2×D15 | — | 6 | 1 | no | — |
| 615 | C2×D15 | — | 6 | 4 | no | — |
| 616 | C2×D15 | — | 6 | 4 | no | — |
| 617 | C2×C5×D3 | — | 3 | 2 | no | — |
| 618 | C2×C5×D3 | — | 3 | 2 | no | — |
| 619 | C2×C5×D3 | — | 6 | 1 | no | — |
| 620 | C2×C5×D3 | — | 6 | 1 | no | — |
| 621 | C2×C5×D3 | — | 6 | 4 | no | — |
| 622 | C2×C5×D3 | — | 6 | 4 | no | — |
| 623 | C2×C3×D5 | — | 2 | 4 | no | — |
| 624 | C2×C3×D5 | — | 2 | 4 | no | — |
| 625 | C2×C3×D5 | — | 2 | 1 | no | — |
| 626 | C2×C3×D5 | — | 2 | 1 | no | — |
| 627 | C2×C3×D5 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 628 | C2×C3×D5 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 629 | D3×D5 | — | 3 | 8 | no | — |
| 630 | D3×D5 | — | 6 | 4 | no | — |
| 631 | D3×D5 | — | 6 | 4 | no | — |
| 632 | D3×D5 | — | 6 | 4 | no | — |
| 633 | D3×D5 | — | 6 | 4 | no | — |
| 634 | D3×D5 | — | 6 | 4 | no | — |
| 635 | D3×D5 | — | 6 | 4 | no | — |
| 636 | D3×D5 | — | 6 | 4 | no | — |
| 637 | ΓL(1,𝔽16) | — | 4 | 4 | no | — |
| 638 | ΓL(1,𝔽16) | — | 6 | 8 | no | — |
| 639 | ΓL(1,𝔽16) | — | 6 | 8 | no | — |
| 640 | C3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 641 | C3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 642 | C3×AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 643 | C3×C4×C5 | — | 2 | 1 | no | — |
| 644 | C3×C4×C5 | — | 2 | 1 | no | — |
| 645 | C3×C4×C5 | C42×D3 | 1 | 2 | yes | — |
| 646 | C3×C4×C5 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 647 | Dic15 | — | 3 | 2 | no | — |
| 648 | Dic15 | — | 3 | 2 | no | — |
| 649 | Dic15 | — | 6 | 1 | no | — |
| 650 | Dic15 | — | 6 | 1 | no | — |
| 651 | C3×Dic5 | — | 2 | 1 | no | — |
| 652 | C3×Dic5 | — | 2 | 1 | no | — |
| 653 | C3×Dic5 | D3×C4⋊C4 | 1 | 2 | yes | — |
| 654 | C3×Dic5 | D3×C4⋊C4 | 1 | 2 | yes | — |
| 655 | C5×Dic3 | — | 3 | 2 | no | — |
| 656 | C5×Dic3 | — | 3 | 2 | no | — |
| 657 | C5×Dic3 | — | 6 | 1 | no | — |
| 658 | C5×Dic3 | — | 6 | 1 | no | — |
| 659 | C23×D3 | — | 15 | 2 | no | — |
| 660 | C23×D3 | — | 30 | 1 | no | — |
| 661 | C22×C3×C4 | — | 5 | 2 | no | — |
| 662 | C22×C3×C4 | — | 10 | 1 | no | — |
| 663 | C22×C3×C4 | — | 10 | 2 | no | — |
| 664 | C22×C3×C4 | — | 10 | 2 | no | — |
| 665 | C22×Dic3 | — | 15 | 2 | no | — |
| 666 | C22×Dic3 | — | 30 | 1 | no | — |
| 667 | C22×Dic3 | — | 30 | 2 | no | — |
| 668 | C22×Dic3 | — | 30 | 2 | no | — |
| 669 | C2×C4×D3 | — | 3 | 2 | no | — |
| 670 | C2×C4×D3 | — | 6 | 1 | no | — |
| 671 | C2×C4×D3 | — | 15 | 2 | no | — |
| 672 | C2×C4×D3 | — | 15 | 2 | no | — |
| 673 | C2×C4×D3 | — | 15 | 2 | no | — |
| 674 | C2×C4×D3 | — | 15 | 2 | no | — |
| 675 | C2×C4×D3 | — | 15 | 2 | no | — |
| 676 | C2×C4×D3 | — | 15 | 2 | no | — |
| 677 | C2×C4×D3 | — | 15 | 2 | no | — |
| 678 | C2×C4×D3 | — | 15 | 2 | no | — |
| 679 | C2×C4×D3 | — | 15 | 2 | no | — |
| 680 | C2×C4×D3 | — | 15 | 2 | no | — |
| 681 | C2×C4×D3 | — | 15 | 2 | no | — |
| 682 | C2×C4×D3 | — | 30 | 1 | no | — |
| 683 | C2×C4×D3 | — | 30 | 1 | no | — |
| 684 | C2×C4×D3 | — | 30 | 1 | no | — |
| 685 | C2×C4×D3 | — | 30 | 1 | no | — |
| 686 | C2×C4×D3 | — | 30 | 1 | no | — |
| 687 | C2×C4×D3 | — | 30 | 1 | no | — |
| 688 | C2×C4×D3 | — | 30 | 1 | no | — |
| 689 | C2×C4×D3 | — | 30 | 1 | no | — |
| 690 | C2×C4×D3 | — | 30 | 1 | no | — |
| 691 | C2×C4×D3 | — | 30 | 1 | no | — |
| 692 | C2×C4×D3 | — | 30 | 1 | no | — |
| 693 | C2×C4×D3 | — | 30 | 4 | no | — |
| 694 | C2×C4×D3 | — | 30 | 4 | no | — |
| 695 | C2×C4×D3 | — | 30 | 4 | no | — |
| 696 | C2×C4×D3 | — | 30 | 4 | no | — |
| 697 | C2×C4×D3 | — | 30 | 16 | no | — |
| 698 | C2×C4×D3 | — | 30 | 16 | no | — |
| 699 | C2×C4×D3 | — | 30 | 4 | no | — |
| 700 | C3×M16 | — | 3 | 2 | no | — |
| 701 | C3×M16 | — | 15 | 2 | no | — |
| 702 | C3×M16 | — | 30 | 2 | no | — |
| 703 | C2×C3×C8 | — | 30 | 2 | no | — |
| 704 | C3×C4⋊C4 | — | 15 | 4 | no | — |
| 705 | C3×C22⋊C4 | — | 30 | 2 | no | — |
| 706 | C3×C42 | — | 5 | 4 | no | — |
| 707 | C3×C42 | — | 10 | 2 | no | — |
| 708 | C3×C42 | — | 10 | 2 | no | — |
| 709 | C3×C42 | — | 10 | 2 | no | — |
| 710 | C3×C42 | — | 30 | 2 | no | — |
| 711 | #217 | — | 10 | 2 | no | — |
| 712 | (C2×D3)⋊C4 | — | 30 | 4 | no | — |
| 713 | C4⋊Dic3 | — | 5 | 4 | no | — |
| 714 | Dic3⋊C4 | — | 30 | 4 | no | — |
| 715 | C4×Dic3 | — | 10 | 2 | no | — |
| 716 | C4×Dic3 | — | 15 | 4 | no | — |
| 717 | C4×Dic3 | — | 30 | 2 | no | — |
| 718 | C4×Dic3 | — | 30 | 4 | no | — |
| 719 | C4×Dic3 | — | 30 | 4 | no | — |
| 720 | C4×Dic3 | — | 30 | 4 | no | — |
| 721 | C4×Dic3 | — | 30 | 2 | no | — |
| 722 | C4×Dic3 | — | 30 | 4 | no | — |
| 723 | C4×Dic3 | — | 30 | 4 | no | — |
| 724 | C4×Dic3 | — | 30 | 2 | no | — |
| 725 | #208 | — | 5 | 2 | no | — |
| 726 | #208 | — | 10 | 2 | no | — |
| 727 | #208 | D3×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 728 | C2×C3⋊C8 | — | 10 | 2 | no | — |
| 729 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 730 | ΓL(1,𝔽25) | — | 30 | 2 | no | — |
| 731 | ΓL(1,𝔽25) | — | 30 | 2 | no | — |
| 732 | ΓL(1,𝔽25) | — | 30 | 2 | no | — |
| 733 | D3×C8 | — | 6 | 2 | no | — |
| 734 | D3×C8 | — | 30 | 2 | no | — |
| 735 | D3×C8 | — | 30 | 2 | no | — |
| 736 | D3×C8 | — | 30 | 2 | no | — |
| 737 | C32×C5 | C2×#339 | 1 | 1 | yes | characteristic, complemented, Hall |
| 738 | C23×C5 | — | 9 | 1 | no | — |
| 739 | C22×D5 | — | 9 | 1 | no | — |
| 740 | C22×D5 | — | 9 | 1 | no | — |
| 741 | C22×D5 | — | 9 | 1 | no | — |
| 742 | C22×D5 | — | 9 | 1 | no | — |
| 743 | C22×D5 | — | 9 | 1 | no | — |
| 744 | C22×D5 | — | 18 | 4 | no | — |
| 745 | C22×D5 | #3811 | 1 | 1 | yes | characteristic |
| 746 | C2×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 747 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 748 | C2×AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 749 | C2×AGL(1,𝔽5) | — | 18 | 8 | no | — |
| 750 | C2×AGL(1,𝔽5) | — | 18 | 8 | no | — |
| 751 | C2×AGL(1,𝔽5) | — | 18 | 4 | no | — |
| 752 | C2×AGL(1,𝔽5) | — | 18 | 2 | no | — |
| 753 | C2×AGL(1,𝔽5) | — | 36 | 4 | no | — |
| 754 | C2×C4×C5 | — | 9 | 1 | no | — |
| 755 | C2×C4×C5 | — | 9 | 1 | no | — |
| 756 | C2×C4×C5 | — | 9 | 1 | no | — |
| 757 | C2×C4×C5 | — | 9 | 1 | no | — |
| 758 | C2×C4×C5 | — | 9 | 1 | no | — |
| 759 | C2×C4×C5 | C4×D32 | 1 | 1 | yes | characteristic |
| 760 | C2×Dic5 | — | 9 | 1 | no | — |
| 761 | C2×Dic5 | — | 9 | 1 | no | — |
| 762 | C2×Dic5 | — | 9 | 1 | no | — |
| 763 | C2×Dic5 | — | 9 | 1 | no | — |
| 764 | C2×Dic5 | — | 9 | 1 | no | — |
| 765 | C2×Dic5 | #3797 | 1 | 1 | yes | characteristic |
| 766 | C4×D5 | — | 9 | 1 | no | — |
| 767 | C4×D5 | — | 9 | 1 | no | — |
| 768 | C4×D5 | — | 9 | 1 | no | — |
| 769 | C4×D5 | — | 9 | 1 | no | — |
| 770 | C4×D5 | — | 9 | 1 | no | — |
| 771 | C4×D5 | — | 9 | 1 | no | — |
| 772 | C4×D5 | — | 9 | 1 | no | — |
| 773 | C4×D5 | — | 9 | 1 | no | — |
| 774 | C4×D5 | — | 9 | 1 | no | — |
| 775 | C4×D5 | — | 9 | 1 | no | — |
| 776 | C4×D5 | — | 9 | 1 | no | — |
| 777 | C4×D5 | — | 9 | 1 | no | — |
| 778 | C4×D5 | C4×D32 | 1 | 1 | yes | characteristic |
| 779 | C4×D5 | #3802 | 1 | 1 | yes | characteristic |
| 780 | C4×D5 | C2×#624 | 1 | 1 | yes | characteristic |
| 781 | C4×D5 | #3811 | 1 | 1 | yes | characteristic |
| 782 | C5×C8 | — | 6 | 2 | no | — |
| 783 | #168 | — | 6 | 2 | no | — |
| 784 | C22×C32 | — | 5 | 1 | no | — |
| 785 | C22×C32 | — | 5 | 1 | no | — |
| 786 | C22×C32 | — | 10 | 2 | no | — |
| 787 | C22×C32 | C2×C4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 788 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 789 | C2×C3⋊D3 | — | 5 | 1 | no | — |
| 790 | C2×C3⋊D3 | — | 5 | 4 | no | — |
| 791 | C2×C3⋊D3 | — | 5 | 1 | no | — |
| 792 | C2×C3⋊D3 | — | 10 | 2 | no | — |
| 793 | C2×C3⋊D3 | — | 10 | 2 | no | — |
| 794 | C2×C3⋊D3 | — | 10 | 2 | no | — |
| 795 | C2×C3⋊D3 | — | 10 | 2 | no | — |
| 796 | C2×C3⋊D3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 797 | C2×C3⋊D3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 798 | C32×C4 | — | 5 | 1 | no | — |
| 799 | C32×C4 | — | 5 | 1 | no | — |
| 800 | C32×C4 | — | 10 | 4 | no | — |
| 801 | C32×C4 | C2×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 802 | C32×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 803 | C3⋊Dic3 | — | 5 | 1 | no | — |
| 804 | C3⋊Dic3 | — | 5 | 1 | no | — |
| 805 | C3⋊Dic3 | — | 10 | 4 | no | — |
| 806 | C3⋊Dic3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 807 | C3⋊Dic3 | (C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 808 | C3×Dic3 | — | 20 | 4 | no | — |
| 809 | C23×C4 | — | 45 | 1 | no | — |
| 810 | C23×C4 | — | 90 | 1 | no | — |
| 811 | C2×M16 | — | 9 | 1 | no | — |
| 812 | C2×M16 | — | 15 | 2 | no | — |
| 813 | C2×M16 | — | 45 | 2 | no | — |
| 814 | C2×M16 | — | 45 | 1 | no | — |
| 815 | C2×M16 | — | 90 | 1 | no | — |
| 816 | C2×M16 | — | 90 | 1 | no | — |
| 817 | C2×M16 | — | 90 | 1 | no | — |
| 818 | C22×C8 | — | 90 | 1 | no | — |
| 819 | #117 | — | 15 | 2 | no | — |
| 820 | #117 | — | 45 | 2 | no | — |
| 821 | #117 | — | 90 | 1 | no | — |
| 822 | #117 | — | 90 | 1 | no | — |
| 823 | C2×C4⋊C4 | — | 45 | 2 | no | — |
| 824 | C2×C22⋊C4 | — | 90 | 1 | no | — |
| 825 | C2×C42 | — | 5 | 1 | no | — |
| 826 | C2×C42 | — | 45 | 2 | no | — |
| 827 | C2×C42 | — | 45 | 2 | no | — |
| 828 | C2×C42 | — | 45 | 1 | no | — |
| 829 | C2×C42 | — | 90 | 1 | no | — |
| 830 | C2×C42 | — | 90 | 1 | no | — |
| 831 | C2×C42 | — | 90 | 1 | no | — |
| 832 | C2×C42 | — | 90 | 1 | no | — |
| 833 | C2×C3×C5 | — | 2 | 2 | no | — |
| 834 | C2×C3×C5 | — | 2 | 2 | no | — |
| 835 | C2×C3×C5 | — | 2 | 1 | no | — |
| 836 | C2×C3×C5 | D3×#95 | 1 | 2 | yes | — |
| 837 | D15 | — | 3 | 4 | no | — |
| 838 | D15 | — | 6 | 2 | no | — |
| 839 | D15 | — | 6 | 2 | no | — |
| 840 | D15 | — | 6 | 2 | no | — |
| 841 | C3×D5 | — | 2 | 2 | no | — |
| 842 | C3×D5 | — | 2 | 2 | no | — |
| 843 | C3×D5 | — | 2 | 2 | no | — |
| 844 | C3×D5 | D3×#104 | 1 | 4 | yes | — |
| 845 | C5×D3 | — | 3 | 4 | no | — |
| 846 | C5×D3 | — | 6 | 2 | no | — |
| 847 | C5×D3 | — | 6 | 2 | no | — |
| 848 | C5×D3 | — | 6 | 2 | no | — |
| 849 | C23×C3 | — | 5 | 2 | no | — |
| 850 | C23×C3 | — | 10 | 1 | no | — |
| 851 | C22×D3 | — | 3 | 2 | no | — |
| 852 | C22×D3 | — | 6 | 1 | no | — |
| 853 | C22×D3 | — | 15 | 2 | no | — |
| 854 | C22×D3 | — | 15 | 2 | no | — |
| 855 | C22×D3 | — | 15 | 2 | no | — |
| 856 | C22×D3 | — | 15 | 2 | no | — |
| 857 | C22×D3 | — | 15 | 2 | no | — |
| 858 | C22×D3 | — | 30 | 1 | no | — |
| 859 | C22×D3 | — | 30 | 1 | no | — |
| 860 | C22×D3 | — | 30 | 1 | no | — |
| 861 | C22×D3 | — | 30 | 1 | no | — |
| 862 | C22×D3 | — | 30 | 1 | no | — |
| 863 | C22×D3 | — | 30 | 8 | no | — |
| 864 | C22×D3 | — | 30 | 8 | no | — |
| 865 | C2×C3×C4 | — | 2 | 1 | no | — |
| 866 | C2×C3×C4 | — | 5 | 2 | no | — |
| 867 | C2×C3×C4 | — | 5 | 2 | no | — |
| 868 | C2×C3×C4 | — | 5 | 2 | no | — |
| 869 | C2×C3×C4 | — | 5 | 2 | no | — |
| 870 | C2×C3×C4 | — | 5 | 2 | no | — |
| 871 | C2×C3×C4 | — | 10 | 1 | no | — |
| 872 | C2×C3×C4 | — | 10 | 1 | no | — |
| 873 | C2×C3×C4 | — | 10 | 1 | no | — |
| 874 | C2×C3×C4 | — | 10 | 1 | no | — |
| 875 | C2×C3×C4 | — | 10 | 1 | no | — |
| 876 | C2×C3×C4 | — | 10 | 4 | no | — |
| 877 | C2×C3×C4 | — | 10 | 4 | no | — |
| 878 | C2×C3×C4 | — | 10 | 8 | no | — |
| 879 | C2×C3×C4 | — | 10 | 8 | no | — |
| 880 | C2×C3×C4 | — | 30 | 4 | no | — |
| 881 | C2×C3×C4 | C2×D3×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 882 | C2×Dic3 | — | 3 | 2 | no | — |
| 883 | C2×Dic3 | — | 6 | 1 | no | — |
| 884 | C2×Dic3 | — | 10 | 4 | no | — |
| 885 | C2×Dic3 | — | 15 | 2 | no | — |
| 886 | C2×Dic3 | — | 15 | 2 | no | — |
| 887 | C2×Dic3 | — | 15 | 2 | no | — |
| 888 | C2×Dic3 | — | 15 | 2 | no | — |
| 889 | C2×Dic3 | — | 15 | 2 | no | — |
| 890 | C2×Dic3 | — | 30 | 1 | no | — |
| 891 | C2×Dic3 | — | 30 | 1 | no | — |
| 892 | C2×Dic3 | — | 30 | 1 | no | — |
| 893 | C2×Dic3 | — | 30 | 1 | no | — |
| 894 | C2×Dic3 | — | 30 | 1 | no | — |
| 895 | C2×Dic3 | — | 30 | 4 | no | — |
| 896 | C2×Dic3 | — | 30 | 4 | no | — |
| 897 | C2×Dic3 | — | 30 | 8 | no | — |
| 898 | C2×Dic3 | — | 30 | 8 | no | — |
| 899 | C4×D3 | — | 3 | 2 | no | — |
| 900 | C4×D3 | — | 3 | 2 | no | — |
| 901 | C4×D3 | — | 3 | 2 | no | — |
| 902 | C4×D3 | — | 3 | 2 | no | — |
| 903 | C4×D3 | — | 6 | 1 | no | — |
| 904 | C4×D3 | — | 6 | 1 | no | — |
| 905 | C4×D3 | — | 6 | 1 | no | — |
| 906 | C4×D3 | — | 6 | 1 | no | — |
| 907 | C4×D3 | — | 15 | 2 | no | — |
| 908 | C4×D3 | — | 15 | 2 | no | — |
| 909 | C4×D3 | — | 15 | 2 | no | — |
| 910 | C4×D3 | — | 15 | 2 | no | — |
| 911 | C4×D3 | — | 15 | 2 | no | — |
| 912 | C4×D3 | — | 15 | 2 | no | — |
| 913 | C4×D3 | — | 15 | 2 | no | — |
| 914 | C4×D3 | — | 15 | 2 | no | — |
| 915 | C4×D3 | — | 15 | 2 | no | — |
| 916 | C4×D3 | — | 15 | 2 | no | — |
| 917 | C4×D3 | — | 15 | 2 | no | — |
| 918 | C4×D3 | — | 15 | 2 | no | — |
| 919 | C4×D3 | — | 30 | 1 | no | — |
| 920 | C4×D3 | — | 30 | 1 | no | — |
| 921 | C4×D3 | — | 30 | 1 | no | — |
| 922 | C4×D3 | — | 30 | 1 | no | — |
| 923 | C4×D3 | — | 30 | 1 | no | — |
| 924 | C4×D3 | — | 30 | 1 | no | — |
| 925 | C4×D3 | — | 30 | 1 | no | — |
| 926 | C4×D3 | — | 30 | 1 | no | — |
| 927 | C4×D3 | — | 30 | 1 | no | — |
| 928 | C4×D3 | — | 30 | 1 | no | — |
| 929 | C4×D3 | — | 30 | 1 | no | — |
| 930 | C4×D3 | — | 30 | 1 | no | — |
| 931 | C4×D3 | — | 30 | 16 | no | — |
| 932 | C4×D3 | — | 30 | 16 | no | — |
| 933 | C4×D3 | — | 30 | 16 | no | — |
| 934 | C4×D3 | — | 30 | 16 | no | — |
| 935 | C4×D3 | — | 60 | 8 | no | — |
| 936 | C3×C8 | — | 6 | 2 | no | — |
| 937 | C3×C8 | — | 30 | 2 | no | — |
| 938 | C3⋊C8 | — | 2 | 2 | no | — |
| 939 | C3⋊C8 | — | 10 | 2 | no | — |
| 940 | C22×C5 | — | 9 | 1 | no | — |
| 941 | C22×C5 | — | 9 | 1 | no | — |
| 942 | C22×C5 | — | 18 | 2 | no | — |
| 943 | C22×C5 | #63883 | 1 | 1 | yes | characteristic |
| 944 | C2×D5 | — | 2 | 2 | no | — |
| 945 | C2×D5 | — | 9 | 1 | no | — |
| 946 | C2×D5 | — | 9 | 4 | no | — |
| 947 | C2×D5 | — | 9 | 1 | no | — |
| 948 | C2×D5 | — | 18 | 2 | no | — |
| 949 | C2×D5 | — | 18 | 2 | no | — |
| 950 | C2×D5 | — | 18 | 2 | no | — |
| 951 | C2×D5 | — | 18 | 2 | no | — |
| 952 | C2×D5 | #63921 | 1 | 1 | yes | characteristic |
| 953 | C2×D5 | #63974 | 1 | 1 | yes | characteristic |
| 954 | AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 955 | AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 956 | AGL(1,𝔽5) | — | 18 | 4 | no | — |
| 957 | C4×C5 | — | 9 | 1 | no | — |
| 958 | C4×C5 | — | 9 | 1 | no | — |
| 959 | C4×C5 | C4×#624 | 1 | 1 | yes | characteristic |
| 960 | C4×C5 | #63921 | 1 | 1 | yes | characteristic |
| 961 | Dic5 | — | 9 | 1 | no | — |
| 962 | Dic5 | — | 9 | 1 | no | — |
| 963 | Dic5 | #63883 | 1 | 1 | yes | characteristic |
| 964 | Dic5 | #63900 | 1 | 1 | yes | characteristic |
| 965 | C2×C32 | — | 2 | 1 | no | — |
| 966 | C2×C32 | — | 5 | 2 | no | — |
| 967 | C2×C32 | — | 10 | 1 | no | — |
| 968 | C2×C32 | C2×(C2×AGL(1,𝔽5))⋊C4 | 1 | 1 | yes | characteristic |
| 969 | C3⋊D3 | — | 2 | 1 | no | — |
| 970 | C3⋊D3 | — | 5 | 2 | no | — |
| 971 | C3⋊D3 | — | 10 | 1 | no | — |
| 972 | C3⋊D3 | #64900 | 1 | 2 | yes | complemented |
| 973 | C24 | — | 45 | 1 | no | — |
| 974 | C22×C4 | — | 5 | 1 | no | — |
| 975 | C22×C4 | — | 9 | 1 | no | — |
| 976 | C22×C4 | — | 10 | 1 | no | — |
| 977 | C22×C4 | — | 45 | 1 | no | — |
| 978 | C22×C4 | — | 45 | 1 | no | — |
| 979 | C22×C4 | — | 45 | 1 | no | — |
| 980 | C22×C4 | — | 45 | 1 | no | — |
| 981 | C22×C4 | — | 45 | 1 | no | — |
| 982 | C22×C4 | — | 45 | 1 | no | — |
| 983 | C22×C4 | — | 45 | 1 | no | — |
| 984 | C22×C4 | — | 45 | 1 | no | — |
| 985 | C22×C4 | — | 45 | 1 | no | — |
| 986 | C22×C4 | — | 45 | 1 | no | — |
| 987 | C22×C4 | — | 45 | 1 | no | — |
| 988 | C22×C4 | — | 45 | 1 | no | — |
| 989 | C22×C4 | — | 90 | 2 | no | — |
| 990 | C22×C4 | — | 90 | 2 | no | — |
| 991 | C22×C4 | — | 90 | 8 | no | — |
| 992 | C22×C4 | — | 90 | 2 | no | — |
| 993 | C22×C4 | — | 90 | 1 | no | — |
| 994 | M16 | — | 3 | 2 | no | — |
| 995 | M16 | — | 15 | 2 | no | — |
| 996 | M16 | — | 18 | 1 | no | — |
| 997 | M16 | — | 30 | 2 | no | — |
| 998 | M16 | — | 90 | 2 | no | — |
| 999 | M16 | — | 90 | 1 | no | — |
| 1000 | C2×C8 | — | 18 | 1 | no | — |
| 1001 | C2×C8 | — | 30 | 2 | no | — |
| 1002 | C2×C8 | — | 90 | 2 | no | — |
| 1003 | C2×C8 | — | 90 | 1 | no | — |
| 1004 | C4⋊C4 | — | 15 | 4 | no | — |
| 1005 | C4⋊C4 | — | 90 | 2 | no | — |
| 1006 | C22⋊C4 | — | 30 | 2 | no | — |
| 1007 | C22⋊C4 | — | 90 | 2 | no | — |
| 1008 | C42 | — | 5 | 2 | no | — |
| 1009 | C42 | — | 10 | 1 | no | — |
| 1010 | C42 | — | 30 | 2 | no | — |
| 1011 | C42 | — | 45 | 2 | no | — |
| 1012 | C42 | — | 90 | 1 | no | — |
| 1013 | C42 | — | 90 | 2 | no | — |
| 1014 | C42 | — | 90 | 2 | no | — |
| 1015 | C42 | — | 90 | 2 | no | — |
| 1016 | C3×C5 | — | 2 | 1 | no | — |
| 1017 | C3×C5 | D3×#339 | 1 | 2 | yes | complemented |
| 1018 | C22×C3 | — | 2 | 1 | no | — |
| 1019 | C22×C3 | — | 5 | 2 | no | — |
| 1020 | C22×C3 | — | 5 | 2 | no | — |
| 1021 | C22×C3 | — | 10 | 1 | no | — |
| 1022 | C22×C3 | — | 10 | 1 | no | — |
| 1023 | C22×C3 | — | 10 | 4 | no | — |
| 1024 | C22×C3 | — | 10 | 4 | no | — |
| 1025 | C22×C3 | D3×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 1026 | C2×D3 | — | 3 | 2 | no | — |
| 1027 | C2×D3 | — | 3 | 2 | no | — |
| 1028 | C2×D3 | — | 6 | 1 | no | — |
| 1029 | C2×D3 | — | 6 | 1 | no | — |
| 1030 | C2×D3 | — | 6 | 4 | no | — |
| 1031 | C2×D3 | — | 6 | 4 | no | — |
| 1032 | C2×D3 | — | 15 | 8 | no | — |
| 1033 | C2×D3 | — | 15 | 2 | no | — |
| 1034 | C2×D3 | — | 15 | 2 | no | — |
| 1035 | C2×D3 | — | 30 | 4 | no | — |
| 1036 | C2×D3 | — | 30 | 1 | no | — |
| 1037 | C2×D3 | — | 30 | 1 | no | — |
| 1038 | C2×D3 | — | 30 | 4 | no | — |
| 1039 | C2×D3 | — | 30 | 4 | no | — |
| 1040 | C2×D3 | — | 30 | 4 | no | — |
| 1041 | C2×D3 | — | 30 | 4 | no | — |
| 1042 | C2×D3 | — | 30 | 4 | no | — |
| 1043 | C2×D3 | — | 30 | 4 | no | — |
| 1044 | C2×D3 | — | 30 | 4 | no | — |
| 1045 | C2×D3 | — | 30 | 4 | no | — |
| 1046 | C3×C4 | — | 2 | 1 | no | — |
| 1047 | C3×C4 | — | 2 | 1 | no | — |
| 1048 | C3×C4 | — | 5 | 2 | no | — |
| 1049 | C3×C4 | — | 5 | 2 | no | — |
| 1050 | C3×C4 | — | 10 | 1 | no | — |
| 1051 | C3×C4 | — | 10 | 1 | no | — |
| 1052 | C3×C4 | — | 10 | 8 | no | — |
| 1053 | C3×C4 | — | 10 | 8 | no | — |
| 1054 | C3×C4 | — | 60 | 4 | no | — |
| 1055 | C3×C4 | C4×D3×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 1056 | C3×C4 | D3×C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 1057 | Dic3 | — | 3 | 2 | no | — |
| 1058 | Dic3 | — | 3 | 2 | no | — |
| 1059 | Dic3 | — | 6 | 1 | no | — |
| 1060 | Dic3 | — | 6 | 1 | no | — |
| 1061 | Dic3 | — | 15 | 2 | no | — |
| 1062 | Dic3 | — | 15 | 2 | no | — |
| 1063 | Dic3 | — | 20 | 4 | no | — |
| 1064 | Dic3 | — | 30 | 1 | no | — |
| 1065 | Dic3 | — | 30 | 1 | no | — |
| 1066 | Dic3 | — | 30 | 8 | no | — |
| 1067 | Dic3 | — | 30 | 8 | no | — |
| 1068 | C2×C5 | — | 2 | 1 | no | — |
| 1069 | C2×C5 | — | 9 | 2 | no | — |
| 1070 | C2×C5 | — | 18 | 1 | no | — |
| 1071 | C2×C5 | #10591370 | 1 | 1 | yes | characteristic |
| 1072 | D5 | — | 2 | 1 | no | — |
| 1073 | D5 | — | 9 | 2 | no | — |
| 1074 | D5 | — | 18 | 1 | no | — |
| 1075 | D5 | #10590393 | 1 | 2 | yes | — |
| 1076 | C32 | C2×#64900 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1077 | C23 | — | 5 | 1 | no | — |
| 1078 | C23 | — | 9 | 1 | no | — |
| 1079 | C23 | — | 45 | 1 | no | — |
| 1080 | C23 | — | 45 | 1 | no | — |
| 1081 | C23 | — | 45 | 1 | no | — |
| 1082 | C23 | — | 45 | 1 | no | — |
| 1083 | C23 | — | 45 | 1 | no | — |
| 1084 | C23 | — | 90 | 4 | no | — |
| 1085 | C2×C4 | — | 5 | 1 | no | — |
| 1086 | C2×C4 | — | 5 | 1 | no | — |
| 1087 | C2×C4 | — | 5 | 1 | no | — |
| 1088 | C2×C4 | — | 5 | 1 | no | — |
| 1089 | C2×C4 | — | 5 | 1 | no | — |
| 1090 | C2×C4 | — | 9 | 1 | no | — |
| 1091 | C2×C4 | — | 9 | 1 | no | — |
| 1092 | C2×C4 | — | 9 | 1 | no | — |
| 1093 | C2×C4 | — | 9 | 1 | no | — |
| 1094 | C2×C4 | — | 9 | 1 | no | — |
| 1095 | C2×C4 | — | 10 | 2 | no | — |
| 1096 | C2×C4 | — | 10 | 4 | no | — |
| 1097 | C2×C4 | — | 30 | 4 | no | — |
| 1098 | C2×C4 | — | 45 | 1 | no | — |
| 1099 | C2×C4 | — | 45 | 1 | no | — |
| 1100 | C2×C4 | — | 45 | 1 | no | — |
| 1101 | C2×C4 | — | 45 | 1 | no | — |
| 1102 | C2×C4 | — | 45 | 1 | no | — |
| 1103 | C2×C4 | — | 45 | 1 | no | — |
| 1104 | C2×C4 | — | 45 | 1 | no | — |
| 1105 | C2×C4 | — | 45 | 1 | no | — |
| 1106 | C2×C4 | — | 45 | 1 | no | — |
| 1107 | C2×C4 | — | 45 | 1 | no | — |
| 1108 | C2×C4 | — | 45 | 1 | no | — |
| 1109 | C2×C4 | — | 45 | 1 | no | — |
| 1110 | C2×C4 | — | 45 | 1 | no | — |
| 1111 | C2×C4 | — | 45 | 1 | no | — |
| 1112 | C2×C4 | — | 45 | 1 | no | — |
| 1113 | C2×C4 | — | 45 | 1 | no | — |
| 1114 | C2×C4 | — | 45 | 1 | no | — |
| 1115 | C2×C4 | — | 90 | 8 | no | — |
| 1116 | C2×C4 | — | 90 | 8 | no | — |
| 1117 | C2×C4 | — | 90 | 2 | no | — |
| 1118 | C2×C4 | — | 90 | 4 | no | — |
| 1119 | C2×C4 | — | 180 | 4 | no | — |
| 1120 | C2×C4 | D32×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 1121 | C8 | — | 6 | 2 | no | — |
| 1122 | C8 | — | 30 | 2 | no | — |
| 1123 | C2×C3 | — | 2 | 2 | no | — |
| 1124 | C2×C3 | — | 2 | 2 | no | — |
| 1125 | C2×C3 | — | 2 | 1 | no | — |
| 1126 | C2×C3 | — | 5 | 4 | no | — |
| 1127 | C2×C3 | — | 10 | 2 | no | — |
| 1128 | C2×C3 | — | 10 | 2 | no | — |
| 1129 | C2×C3 | — | 10 | 2 | no | — |
| 1130 | C2×C3 | D3×(C2×AGL(1,𝔽5))⋊C4 | 1 | 2 | yes | — |
| 1131 | D3 | — | 3 | 4 | no | — |
| 1132 | D3 | — | 6 | 2 | no | — |
| 1133 | D3 | — | 6 | 2 | no | — |
| 1134 | D3 | — | 6 | 2 | no | — |
| 1135 | D3 | — | 15 | 4 | no | — |
| 1136 | D3 | — | 30 | 2 | no | — |
| 1137 | D3 | — | 30 | 2 | no | — |
| 1138 | D3 | — | 30 | 2 | no | — |
| 1139 | C5 | #11783183 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1140 | C22 | — | 5 | 1 | no | — |
| 1141 | C22 | — | 5 | 1 | no | — |
| 1142 | C22 | — | 9 | 1 | no | — |
| 1143 | C22 | — | 9 | 1 | no | — |
| 1144 | C22 | — | 10 | 2 | no | — |
| 1145 | C22 | — | 18 | 2 | no | — |
| 1146 | C22 | — | 45 | 4 | no | — |
| 1147 | C22 | — | 45 | 1 | no | — |
| 1148 | C22 | — | 45 | 1 | no | — |
| 1149 | C22 | — | 90 | 2 | no | — |
| 1150 | C22 | — | 90 | 2 | no | — |
| 1151 | C22 | — | 90 | 2 | no | — |
| 1152 | C22 | — | 90 | 2 | no | — |
| 1153 | C22 | #13088407 | 1 | 1 | yes | characteristic |
| 1154 | C4 | — | 5 | 1 | no | — |
| 1155 | C4 | — | 5 | 1 | no | — |
| 1156 | C4 | — | 9 | 1 | no | — |
| 1157 | C4 | — | 9 | 1 | no | — |
| 1158 | C4 | — | 10 | 4 | no | — |
| 1159 | C4 | — | 45 | 1 | no | — |
| 1160 | C4 | — | 45 | 1 | no | — |
| 1161 | C4 | — | 60 | 4 | no | — |
| 1162 | C4 | — | 90 | 4 | no | — |
| 1163 | C4 | AGL(1,𝔽5)×#624 | 1 | 1 | yes | characteristic |
| 1164 | C4 | #13088405 | 1 | 1 | yes | characteristic |
| 1165 | C3 | — | 2 | 1 | no | — |
| 1166 | C3 | D3×#64900 | 1 | 2 | yes | complemented |
| 1167 | C2 | — | 2 | 1 | no | — |
| 1168 | C2 | — | 5 | 2 | no | — |
| 1169 | C2 | — | 9 | 2 | no | — |
| 1170 | C2 | — | 10 | 1 | no | — |
| 1171 | C2 | — | 18 | 1 | no | — |
| 1172 | C2 | — | 45 | 2 | no | — |
| 1173 | C2 | — | 90 | 1 | no | — |
| 1174 | C2 | #72260254 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. #72260251 | C2 | semidirect |
| 2. C3×#11746527 | C2 | semidirect |
| 14. #13088733 | C4 | semidirect |
| 17. #13088723 | C4 | semidirect |
| 21. C4×C3⋊D3×AGL(1,𝔽5) | C4 | semidirect |
| 22. C4×C3⋊D3×AGL(1,𝔽5) | C4 | semidirect |
| 23. #13087648 | C4 | semidirect |
| 24. #13087356 | C4 | semidirect |
| 25. C5×#63818 | C4 | semidirect |
| 38. #11746527 | D3 | semidirect |
| 62. C4×C3⋊ΓL(1,𝔽16) | C2×C4 | semidirect |
| 64. C3×C4⋊ΓL(1,𝔽16) | C2×C4 | semidirect |
| 67. C32×C4×AGL(1,𝔽5) | C2×C4 | semidirect |
| 73. C3×#6710 | C2×C4 | semidirect |
| 74. C3×C5×#208 | C2×C4 | semidirect |
| 199. #63818 | AGL(1,𝔽5) | semidirect |
| 243. C4⋊ΓL(1,𝔽16) | C4×D3 | semidirect |
| 255. C3×C4×AGL(1,𝔽5) | C4×D3 | semidirect |
| 264. #6710 | C4×D3 | semidirect |
| 267. C5×#208 | C4×D3 | semidirect |
| 368. C3×#208 | C2×AGL(1,𝔽5) | semidirect |
| 510. C3⋊D15 | #339 | semidirect |
| 512. C5×C3⋊D3 | #339 | semidirect |
| 547. C4×AGL(1,𝔽5) | #624 | semidirect |
| 727. #208 | D3×AGL(1,𝔽5) | semidirect |
| 737. C32×C5 | C2×#339 | semidirect |
| 972. C3⋊D3 | #64900 | semidirect |
| 1017. C3×C5 | D3×#339 | semidirect |
| 1076. C32 | C2×#64900 | semidirect |
| 1139. C5 | #11783183 | semidirect |
| 1166. C3 | D3×#64900 | semidirect |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta