Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
5098 conjugacy classes of subgroups.
The subgroup lattice has 1026 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C23×#237 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5773 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | D3×#525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#3003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #84038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83945 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #82933 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #80147 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #80145 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #80003 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #80001 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #78927 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #78924 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #78645 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D3×#407 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #60359 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C23×C3×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C23×#67 | — | 2 | 1 | no | — |
| 19 | C24×Dic3 | — | 2 | 1 | no | — |
| 20 | C2×D3×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C22×#237 | — | 2 | 16 | no | — |
| 22 | C22×#237 | — | 2 | 1 | no | — |
| 23 | C22×#237 | — | 2 | 1 | no | — |
| 24 | C22×#237 | — | 2 | 2 | no | — |
| 25 | C22×#237 | — | 2 | 2 | no | — |
| 26 | C22×#237 | C22 | 1 | 4 | yes | — |
| 27 | C22×#237 | C22 | 1 | 2 | yes | — |
| 28 | C22×#237 | C22 | 1 | 4 | yes | complemented |
| 29 | C22×#237 | C22 | 1 | 2 | yes | complemented |
| 30 | C23×C4×D3 | C22 | 1 | 1 | yes | characteristic |
| 31 | C23×Dic6 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 33 | C3×#525 | C22 | 1 | 1 | yes | characteristic |
| 34 | #5828 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×#951 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#932 | C22 | 1 | 2 | yes | complemented |
| 37 | #5791 | C22 | 1 | 1 | yes | characteristic |
| 38 | #5773 | — | 2 | 16 | no | — |
| 39 | C2×#916 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×#915 | C22 | 1 | 4 | yes | complemented |
| 41 | C2×#912 | C22 | 1 | 4 | yes | complemented |
| 42 | C2×#911 | C22 | 1 | 4 | yes | complemented |
| 43 | C2×#909 | C22 | 1 | 2 | yes | complemented |
| 44 | C2×D3×M16 | C22 | 1 | 2 | yes | complemented |
| 45 | #5656 | — | 2 | 1 | no | — |
| 46 | D3×#123 | — | 2 | 1 | no | — |
| 47 | #5627 | C22 | 1 | 2 | yes | complemented |
| 48 | D3×C22⋊Q8 | C22 | 1 | 2 | yes | complemented |
| 49 | #5606 | C22 | 1 | 2 | yes | complemented |
| 50 | D3×#121 | C22 | 1 | 2 | yes | complemented |
| 51 | D3×#120 | — | 2 | 1 | no | — |
| 52 | #5586 | — | 2 | 1 | no | — |
| 53 | #5547 | — | 2 | 2 | no | — |
| 54 | C4×D3×D4 | — | 2 | 2 | no | — |
| 55 | #5524 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | D3×#117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C3×#450 | C22 | 1 | 4 | yes | complemented |
| 58 | C3×#447 | C22 | 1 | 4 | yes | complemented |
| 59 | C3×#418 | C22 | 1 | 2 | yes | complemented |
| 60 | C3×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #5218 | C22 | 1 | 4 | yes | complemented |
| 62 | #5217 | C22 | 1 | 4 | yes | complemented |
| 63 | #5215 | C22 | 1 | 2 | yes | complemented |
| 64 | #5207 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #5173 | C22 | 1 | 8 | yes | complemented |
| 66 | #5158 | C22 | 1 | 8 | yes | complemented |
| 67 | #5126 | C22 | 1 | 2 | yes | complemented |
| 68 | #5120 | C22 | 1 | 2 | yes | complemented |
| 69 | #5050 | C22 | 1 | 4 | yes | complemented |
| 70 | #5040 | C22 | 1 | 4 | yes | complemented |
| 71 | #5004 | C22 | 1 | 2 | yes | complemented |
| 72 | #4783 | C22 | 1 | 8 | yes | complemented |
| 73 | #4781 | C22 | 1 | 8 | yes | complemented |
| 74 | #4772 | C22 | 1 | 8 | yes | complemented |
| 75 | #4771 | C22 | 1 | 8 | yes | complemented |
| 76 | #4739 | C22 | 1 | 4 | yes | complemented |
| 77 | #4738 | C22 | 1 | 4 | yes | complemented |
| 78 | #4726 | C22 | 1 | 4 | yes | complemented |
| 79 | D3×C22⋊C8 | C22 | 1 | 4 | yes | complemented |
| 80 | C23×#41 | — | 3 | 1 | no | — |
| 81 | C2×#575 | — | 3 | 2 | no | — |
| 82 | C2×#525 | — | 3 | 1 | no | — |
| 83 | #3007 | — | 3 | 4 | no | — |
| 84 | #3006 | — | 3 | 4 | no | — |
| 85 | #3005 | — | 3 | 2 | no | — |
| 86 | #3005 | — | 3 | 2 | no | — |
| 87 | #3004 | — | 3 | 1 | no | — |
| 88 | #3004 | — | 3 | 1 | no | — |
| 89 | #3003 | — | 3 | 1 | no | — |
| 90 | #3003 | D3 | 1 | 1 | yes | characteristic, complemented |
| 91 | #3002 | — | 3 | 4 | no | — |
| 92 | #3002 | — | 3 | 4 | no | — |
| 93 | #2896 | — | 3 | 2 | no | — |
| 94 | C2×#407 | — | 3 | 1 | no | — |
| 95 | C25×C3 | — | 2 | 1 | no | — |
| 96 | C24×D3 | D4 | 1 | 1 | yes | characteristic |
| 97 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 98 | C22×C3×D4 | — | 2 | 8 | no | — |
| 99 | C22×C3×D4 | — | 2 | 2 | no | — |
| 100 | C22×C3×D4 | — | 2 | 1 | no | — |
| 101 | C22×C3×D4 | C23 | 1 | 4 | yes | — |
| 102 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 103 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 104 | C22×#67 | — | 2 | 16 | no | — |
| 105 | C22×#67 | — | 2 | 4 | no | — |
| 106 | C22×#67 | — | 2 | 2 | no | — |
| 107 | C22×#67 | — | 2 | 4 | no | — |
| 108 | C22×#67 | — | 2 | 2 | no | — |
| 109 | C23×Dic3 | — | 2 | 16 | no | — |
| 110 | C23×Dic3 | — | 2 | 1 | no | — |
| 111 | C23×Dic3 | — | 2 | 4 | no | — |
| 112 | C23×Dic3 | — | 2 | 2 | no | — |
| 113 | C23×Dic3 | — | 2 | 4 | no | — |
| 114 | C23×Dic3 | — | 2 | 2 | no | — |
| 115 | C23×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 116 | D3×#41 | — | 2 | 8 | no | — |
| 117 | C2×#239 | C23 | 1 | 1 | yes | characteristic, complemented |
| 118 | C2×D3×Q8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 119 | C2×#237 | — | 2 | 16 | no | — |
| 120 | C2×#237 | — | 2 | 16 | no | — |
| 121 | C2×#237 | — | 2 | 32 | no | — |
| 122 | C2×#237 | — | 2 | 32 | no | — |
| 123 | C2×#237 | — | 2 | 8 | no | — |
| 124 | C2×#237 | — | 2 | 32 | no | — |
| 125 | C2×#237 | — | 2 | 32 | no | — |
| 126 | C2×#237 | — | 2 | 1 | no | — |
| 127 | C2×#237 | — | 2 | 4 | no | — |
| 128 | C2×#237 | — | 2 | 4 | no | — |
| 129 | C2×#237 | — | 2 | 2 | no | — |
| 130 | C2×#237 | — | 2 | 2 | no | — |
| 131 | C2×#237 | — | 2 | 8 | no | — |
| 132 | C2×#237 | — | 2 | 4 | no | — |
| 133 | C2×#237 | — | 2 | 4 | no | — |
| 134 | C2×#237 | — | 2 | 4 | no | — |
| 135 | C2×#237 | — | 2 | 8 | no | — |
| 136 | C2×#237 | D4 | 1 | 16 | yes | complemented |
| 137 | C2×#237 | C23 | 1 | 8 | yes | — |
| 138 | C2×#237 | C23 | 1 | 4 | yes | — |
| 139 | C2×#237 | C23 | 1 | 4 | yes | — |
| 140 | C2×#237 | C23 | 1 | 1 | yes | characteristic, complemented |
| 141 | C2×D3×D4 | — | 2 | 1 | no | — |
| 142 | C2×D3×D4 | — | 2 | 2 | no | — |
| 143 | C2×D3×D4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 144 | C2×#235 | — | 2 | 1 | no | — |
| 145 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 146 | C22×C4×D3 | — | 2 | 8 | no | — |
| 147 | C22×C4×D3 | — | 2 | 1 | no | — |
| 148 | C22×C4×D3 | D4 | 1 | 1 | yes | characteristic |
| 149 | C22×C4×D3 | D4 | 1 | 1 | yes | characteristic |
| 150 | C22×C4×D3 | D4 | 1 | 2 | yes | — |
| 151 | C22×C4×D3 | D4 | 1 | 2 | yes | — |
| 152 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 153 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 154 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 155 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 156 | C22×Dic6 | — | 2 | 2 | no | — |
| 157 | C22×Dic6 | — | 2 | 1 | no | — |
| 158 | C22×Dic6 | — | 2 | 8 | no | — |
| 159 | C22×Dic6 | C23 | 1 | 4 | yes | — |
| 160 | C22×Dic6 | C23 | 1 | 2 | yes | — |
| 161 | C3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 162 | C2×C3×SD16 | C23 | 1 | 4 | yes | complemented |
| 163 | C2×C3×D8 | C23 | 1 | 4 | yes | complemented |
| 164 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 165 | C3×#123 | — | 2 | 1 | no | — |
| 166 | C3×C22⋊Q8 | C23 | 1 | 2 | yes | — |
| 167 | C3×#121 | C23 | 1 | 2 | yes | — |
| 168 | C3×#120 | — | 2 | 1 | no | — |
| 169 | C3×C4×D4 | — | 2 | 2 | no | — |
| 170 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 171 | #953 | — | 2 | 1 | no | — |
| 172 | #951 | — | 2 | 8 | no | — |
| 173 | #946 | C23 | 1 | 2 | yes | complemented |
| 174 | C2×#216 | C23 | 1 | 4 | yes | complemented |
| 175 | #939 | — | 2 | 2 | no | — |
| 176 | #938 | C23 | 1 | 2 | yes | complemented |
| 177 | #937 | — | 2 | 1 | no | — |
| 178 | #937 | — | 2 | 2 | no | — |
| 179 | #935 | — | 2 | 1 | no | — |
| 180 | D4×Dic3 | — | 2 | 2 | no | — |
| 181 | C2×#214 | C23 | 1 | 4 | yes | complemented |
| 182 | C2×#214 | C23 | 1 | 4 | yes | complemented |
| 183 | #932 | — | 2 | 8 | no | — |
| 184 | C2×#213 | C23 | 1 | 4 | yes | complemented |
| 185 | #930 | C23 | 1 | 2 | yes | — |
| 186 | #929 | — | 2 | 1 | no | — |
| 187 | C4×#67 | — | 2 | 2 | no | — |
| 188 | C4×#67 | — | 2 | 2 | no | — |
| 189 | #926 | C23 | 1 | 1 | yes | characteristic |
| 190 | #924 | C23 | 1 | 2 | yes | — |
| 191 | C2×#208 | C23 | 1 | 2 | yes | — |
| 192 | #916 | — | 2 | 16 | no | — |
| 193 | #915 | — | 2 | 16 | no | — |
| 194 | #912 | — | 2 | 16 | no | — |
| 195 | #911 | — | 2 | 16 | no | — |
| 196 | #909 | — | 2 | 8 | no | — |
| 197 | D3×M16 | — | 2 | 8 | no | — |
| 198 | C2×Dic12 | C23 | 1 | 4 | yes | complemented |
| 199 | C2×#204 | C23 | 1 | 4 | yes | complemented |
| 200 | C2×ΓL(1,𝔽25) | C23 | 1 | 4 | yes | complemented |
| 201 | C2×D3×C8 | C23 | 1 | 4 | yes | complemented |
| 202 | #897 | C23 | 1 | 2 | yes | complemented |
| 203 | #896 | — | 2 | 2 | no | — |
| 204 | #895 | C23 | 1 | 2 | yes | complemented |
| 205 | #894 | — | 2 | 2 | no | — |
| 206 | #893 | — | 2 | 2 | no | — |
| 207 | #892 | C23 | 1 | 2 | yes | complemented |
| 208 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 209 | D3×C4⋊C4 | C23 | 1 | 2 | yes | complemented |
| 210 | #886 | — | 2 | 1 | no | — |
| 211 | #884 | — | 2 | 2 | no | — |
| 212 | #883 | — | 2 | 2 | no | — |
| 213 | #882 | — | 2 | 1 | no | — |
| 214 | #882 | — | 2 | 2 | no | — |
| 215 | #67⋊C4 | — | 2 | 2 | no | — |
| 216 | #67⋊C4 | — | 2 | 2 | no | — |
| 217 | D3×C22⋊C4 | — | 2 | 1 | no | — |
| 218 | D3×C22⋊C4 | — | 2 | 2 | no | — |
| 219 | D3×C22⋊C4 | — | 2 | 2 | no | — |
| 220 | #878 | — | 2 | 2 | no | — |
| 221 | #877 | — | 2 | 1 | no | — |
| 222 | C4×D12 | — | 2 | 2 | no | — |
| 223 | #872 | — | 2 | 1 | no | — |
| 224 | C42×D3 | — | 2 | 1 | no | — |
| 225 | C3×#102 | C23 | 1 | 8 | yes | complemented |
| 226 | C3×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 227 | #832 | C23 | 1 | 8 | yes | complemented |
| 228 | #830 | C23 | 1 | 4 | yes | — |
| 229 | (C2×D3)⋊C8 | C23 | 1 | 8 | yes | complemented |
| 230 | #816 | C23 | 1 | 8 | yes | complemented |
| 231 | #810 | C23 | 1 | 8 | yes | complemented |
| 232 | C22×#41 | — | 3 | 1 | no | — |
| 233 | C22×#41 | — | 3 | 2 | no | — |
| 234 | C22×#41 | — | 3 | 4 | no | — |
| 235 | C22×#41 | — | 3 | 4 | no | — |
| 236 | C22×#41 | — | 3 | 2 | no | — |
| 237 | C22×#41 | — | 6 | 2 | no | — |
| 238 | C22×#41 | — | 6 | 1 | no | — |
| 239 | C22×#41 | — | 6 | 1 | no | — |
| 240 | C22×#41 | — | 6 | 2 | no | — |
| 241 | C22×#41 | — | 6 | 16 | no | — |
| 242 | C23×Q8 | — | 3 | 1 | no | — |
| 243 | C23×D4 | — | 6 | 1 | no | — |
| 244 | C23×D4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 245 | C24×C4 | — | 3 | 1 | no | — |
| 246 | C24×C4 | — | 6 | 1 | no | — |
| 247 | #575 | — | 6 | 16 | no | — |
| 248 | C2×#137 | — | 3 | 2 | no | — |
| 249 | C2×#137 | — | 3 | 4 | no | — |
| 250 | C2×#137 | — | 3 | 2 | no | — |
| 251 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 252 | C2×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 253 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 254 | C2×#135 | — | 3 | 4 | no | — |
| 255 | C2×#135 | — | 3 | 4 | no | — |
| 256 | C22×M16 | — | 3 | 2 | no | — |
| 257 | #525 | — | 3 | 1 | no | — |
| 258 | #525 | — | 3 | 1 | no | — |
| 259 | #525 | — | 3 | 2 | no | — |
| 260 | #525 | — | 3 | 2 | no | — |
| 261 | #525 | — | 3 | 1 | no | — |
| 262 | #525 | — | 6 | 2 | no | — |
| 263 | #525 | — | 6 | 1 | no | — |
| 264 | #525 | — | 6 | 1 | no | — |
| 265 | #525 | C2×D3 | 1 | 1 | yes | characteristic |
| 266 | C2×#123 | — | 6 | 1 | no | — |
| 267 | C2×C22⋊Q8 | — | 3 | 2 | no | — |
| 268 | C2×#121 | — | 3 | 2 | no | — |
| 269 | C2×#120 | — | 6 | 1 | no | — |
| 270 | C2×C4×D4 | — | 6 | 2 | no | — |
| 271 | C2×#117 | — | 3 | 1 | no | — |
| 272 | #452 | — | 3 | 8 | no | — |
| 273 | #452 | — | 3 | 8 | no | — |
| 274 | #451 | — | 3 | 4 | no | — |
| 275 | #451 | — | 3 | 4 | no | — |
| 276 | #450 | — | 3 | 4 | no | — |
| 277 | #450 | C2×D3 | 1 | 4 | yes | complemented |
| 278 | #449 | — | 3 | 8 | no | — |
| 279 | #449 | — | 3 | 8 | no | — |
| 280 | #448 | — | 3 | 4 | no | — |
| 281 | #448 | — | 3 | 4 | no | — |
| 282 | #447 | — | 3 | 4 | no | — |
| 283 | #447 | C2×D3 | 1 | 4 | yes | complemented |
| 284 | #419 | — | 3 | 2 | no | — |
| 285 | #419 | — | 3 | 2 | no | — |
| 286 | #418 | — | 3 | 2 | no | — |
| 287 | #418 | C2×D3 | 1 | 2 | yes | complemented |
| 288 | #417 | — | 3 | 8 | no | — |
| 289 | #416 | — | 3 | 8 | no | — |
| 290 | #407 | — | 3 | 1 | no | — |
| 291 | #407 | — | 3 | 2 | no | — |
| 292 | #407 | — | 3 | 4 | no | — |
| 293 | #407 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 294 | C2×C22⋊C8 | — | 3 | 4 | no | — |
| 295 | C24×C3 | — | 2 | 8 | no | — |
| 296 | C24×C3 | — | 2 | 4 | no | — |
| 297 | C24×C3 | — | 2 | 2 | no | — |
| 298 | C24×C3 | — | 4 | 8 | no | — |
| 299 | C24×C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 300 | C23×D3 | — | 2 | 4 | no | — |
| 301 | C23×D3 | — | 2 | 1 | no | — |
| 302 | C23×D3 | — | 4 | 4 | no | — |
| 303 | C23×D3 | C2×D4 | 1 | 2 | yes | — |
| 304 | C23×D3 | C2×D4 | 1 | 2 | yes | — |
| 305 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 306 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 307 | C3×#41 | — | 2 | 4 | no | — |
| 308 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 309 | C2×C3×D4 | — | 2 | 8 | no | — |
| 310 | C2×C3×D4 | — | 2 | 16 | no | — |
| 311 | C2×C3×D4 | — | 2 | 16 | no | — |
| 312 | C2×C3×D4 | — | 2 | 2 | no | — |
| 313 | C2×C3×D4 | — | 2 | 1 | no | — |
| 314 | C2×C3×D4 | — | 2 | 4 | no | — |
| 315 | C2×C3×D4 | — | 2 | 2 | no | — |
| 316 | C2×C3×D4 | — | 2 | 4 | no | — |
| 317 | C2×C3×D4 | C2×D4 | 1 | 8 | yes | complemented |
| 318 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 319 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 320 | C22×C3×C4 | — | 2 | 4 | no | — |
| 321 | C22×C3×C4 | — | 2 | 1 | no | — |
| 322 | C22×C3×C4 | C2×D4 | 1 | 2 | yes | — |
| 323 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 325 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 326 | C2×#67 | — | 2 | 32 | no | — |
| 327 | C2×#67 | — | 2 | 32 | no | — |
| 328 | C2×#67 | — | 2 | 16 | no | — |
| 329 | C2×#67 | — | 2 | 16 | no | — |
| 330 | C2×#67 | — | 2 | 8 | no | — |
| 331 | C2×#67 | — | 2 | 4 | no | — |
| 332 | C2×#67 | — | 2 | 4 | no | — |
| 333 | C2×#67 | — | 2 | 2 | no | — |
| 334 | C2×#67 | — | 2 | 1 | no | — |
| 335 | C2×#67 | — | 2 | 2 | no | — |
| 336 | C2×#67 | — | 2 | 1 | no | — |
| 337 | C2×#67 | — | 2 | 1 | no | — |
| 338 | C22×Dic3 | — | 2 | 8 | no | — |
| 339 | C22×Dic3 | — | 2 | 32 | no | — |
| 340 | C22×Dic3 | — | 2 | 32 | no | — |
| 341 | C22×Dic3 | — | 2 | 16 | no | — |
| 342 | C22×Dic3 | — | 2 | 4 | no | — |
| 343 | C22×Dic3 | — | 2 | 2 | no | — |
| 344 | C22×Dic3 | — | 2 | 4 | no | — |
| 345 | C22×Dic3 | — | 2 | 16 | no | — |
| 346 | C22×Dic3 | — | 2 | 8 | no | — |
| 347 | C22×Dic3 | — | 2 | 4 | no | — |
| 348 | C22×Dic3 | — | 2 | 4 | no | — |
| 349 | C22×Dic3 | — | 2 | 1 | no | — |
| 350 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 351 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 352 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 353 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 354 | #239 | — | 2 | 4 | no | — |
| 355 | D3×Q8 | — | 2 | 4 | no | — |
| 356 | #237 | — | 2 | 32 | no | — |
| 357 | #237 | — | 2 | 32 | no | — |
| 358 | #237 | — | 2 | 32 | no | — |
| 359 | #237 | — | 2 | 32 | no | — |
| 360 | #237 | — | 2 | 32 | no | — |
| 361 | #237 | — | 2 | 16 | no | — |
| 362 | #237 | — | 2 | 16 | no | — |
| 363 | #237 | — | 2 | 16 | no | — |
| 364 | #237 | — | 2 | 8 | no | — |
| 365 | #237 | — | 2 | 8 | no | — |
| 366 | #237 | — | 2 | 4 | no | — |
| 367 | #237 | — | 2 | 16 | no | — |
| 368 | #237 | — | 4 | 4 | no | — |
| 369 | #237 | C2×D4 | 1 | 16 | yes | — |
| 370 | #237 | C2×D4 | 1 | 16 | yes | complemented |
| 371 | D3×D4 | — | 2 | 4 | no | — |
| 372 | D3×D4 | — | 4 | 8 | no | — |
| 373 | D3×D4 | — | 4 | 4 | no | — |
| 374 | #235 | — | 2 | 4 | no | — |
| 375 | #235 | — | 4 | 4 | no | — |
| 376 | C2×D12 | — | 2 | 2 | no | — |
| 377 | C2×D12 | — | 2 | 1 | no | — |
| 378 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 379 | C2×C4×D3 | — | 2 | 4 | no | — |
| 380 | C2×C4×D3 | — | 2 | 4 | no | — |
| 381 | C2×C4×D3 | — | 2 | 4 | no | — |
| 382 | C2×C4×D3 | — | 2 | 8 | no | — |
| 383 | C2×C4×D3 | — | 2 | 8 | no | — |
| 384 | C2×C4×D3 | — | 2 | 8 | no | — |
| 385 | C2×C4×D3 | — | 2 | 8 | no | — |
| 386 | C2×C4×D3 | — | 2 | 2 | no | — |
| 387 | C2×C4×D3 | — | 2 | 1 | no | — |
| 388 | C2×C4×D3 | — | 2 | 1 | no | — |
| 389 | C2×C4×D3 | — | 2 | 1 | no | — |
| 390 | C2×C4×D3 | — | 4 | 4 | no | — |
| 391 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 392 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 393 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 394 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 395 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 396 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 397 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 398 | C2×C4×D3 | C2×D4 | 1 | 8 | yes | — |
| 399 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 400 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 401 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 402 | C2×Dic6 | — | 2 | 8 | no | — |
| 403 | C2×Dic6 | — | 2 | 16 | no | — |
| 404 | C2×Dic6 | — | 2 | 4 | no | — |
| 405 | C2×Dic6 | — | 2 | 2 | no | — |
| 406 | C2×Dic6 | — | 2 | 4 | no | — |
| 407 | C2×Dic6 | — | 2 | 16 | no | — |
| 408 | C2×Dic6 | — | 2 | 1 | no | — |
| 409 | C2×Dic6 | C2×D4 | 1 | 8 | yes | complemented |
| 410 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 411 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 412 | C3×SD16 | — | 2 | 8 | no | — |
| 413 | C3×D8 | — | 2 | 8 | no | — |
| 414 | C3×M16 | — | 2 | 4 | no | — |
| 415 | C2×C3×C8 | C24 | 1 | 4 | yes | — |
| 416 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 417 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 418 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 419 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 420 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 421 | C3×C42 | — | 2 | 1 | no | — |
| 422 | #217 | — | 2 | 1 | no | — |
| 423 | #217 | — | 2 | 2 | no | — |
| 424 | #217 | — | 2 | 2 | no | — |
| 425 | #216 | — | 2 | 8 | no | — |
| 426 | #214 | — | 2 | 8 | no | — |
| 427 | #214 | — | 2 | 8 | no | — |
| 428 | #213 | — | 2 | 8 | no | — |
| 429 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 430 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 431 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 432 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 433 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 434 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 435 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 436 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 437 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 438 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 439 | C4×Dic3 | — | 2 | 1 | no | — |
| 440 | C4×Dic3 | — | 2 | 2 | no | — |
| 441 | #208 | — | 2 | 4 | no | — |
| 442 | C2×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 443 | Dic12 | — | 2 | 8 | no | — |
| 444 | #204 | — | 2 | 8 | no | — |
| 445 | ΓL(1,𝔽25) | — | 2 | 8 | no | — |
| 446 | D3×C8 | — | 2 | 8 | no | — |
| 447 | C25 | — | 2 | 1 | no | — |
| 448 | C25 | — | 3 | 1 | no | — |
| 449 | C2×#41 | — | 3 | 1 | no | — |
| 450 | C2×#41 | — | 3 | 16 | no | — |
| 451 | C2×#41 | — | 3 | 4 | no | — |
| 452 | C2×#41 | — | 3 | 4 | no | — |
| 453 | C2×#41 | — | 3 | 1 | no | — |
| 454 | C2×#41 | — | 3 | 8 | no | — |
| 455 | C2×#41 | — | 3 | 1 | no | — |
| 456 | C2×#41 | — | 6 | 1 | no | — |
| 457 | C2×#41 | — | 6 | 2 | no | — |
| 458 | C2×#41 | — | 6 | 2 | no | — |
| 459 | C2×#41 | — | 6 | 8 | no | — |
| 460 | C2×#41 | — | 6 | 4 | no | — |
| 461 | C2×#41 | — | 6 | 4 | no | — |
| 462 | C2×#41 | — | 6 | 4 | no | — |
| 463 | C2×#41 | — | 6 | 4 | no | — |
| 464 | C2×#41 | — | 6 | 4 | no | — |
| 465 | C2×#41 | — | 6 | 1 | no | — |
| 466 | C2×#41 | — | 6 | 8 | no | — |
| 467 | C2×#41 | — | 6 | 8 | no | — |
| 468 | C2×#41 | — | 6 | 32 | no | — |
| 469 | C2×#41 | — | 6 | 32 | no | — |
| 470 | C2×#41 | — | 6 | 16 | no | — |
| 471 | C2×#41 | — | 6 | 32 | no | — |
| 472 | C2×#41 | — | 6 | 32 | no | — |
| 473 | C2×#41 | — | 6 | 16 | no | — |
| 474 | C2×#41 | — | 6 | 8 | no | — |
| 475 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 476 | C22×Q8 | — | 3 | 1 | no | — |
| 477 | C22×Q8 | — | 3 | 2 | no | — |
| 478 | C22×Q8 | — | 3 | 4 | no | — |
| 479 | C22×Q8 | — | 6 | 8 | no | — |
| 480 | C22×Q8 | — | 6 | 2 | no | — |
| 481 | C22×Q8 | — | 6 | 1 | no | — |
| 482 | C22×D4 | — | 2 | 8 | no | — |
| 483 | C22×D4 | — | 2 | 2 | no | — |
| 484 | C22×D4 | — | 2 | 1 | no | — |
| 485 | C22×D4 | — | 3 | 1 | no | — |
| 486 | C22×D4 | — | 6 | 2 | no | — |
| 487 | C22×D4 | — | 6 | 1 | no | — |
| 488 | C22×D4 | — | 6 | 2 | no | — |
| 489 | C22×D4 | — | 6 | 4 | no | — |
| 490 | C22×D4 | — | 6 | 4 | no | — |
| 491 | C22×D4 | — | 6 | 2 | no | — |
| 492 | C22×D4 | — | 6 | 16 | no | — |
| 493 | C22×D4 | C22×D3 | 1 | 4 | yes | — |
| 494 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 495 | C23×C4 | — | 3 | 1 | no | — |
| 496 | C23×C4 | — | 3 | 1 | no | — |
| 497 | C23×C4 | — | 3 | 2 | no | — |
| 498 | C23×C4 | — | 3 | 1 | no | — |
| 499 | C23×C4 | — | 3 | 1 | no | — |
| 500 | C23×C4 | — | 3 | 2 | no | — |
| 501 | C23×C4 | — | 3 | 2 | no | — |
| 502 | C23×C4 | — | 3 | 2 | no | — |
| 503 | C23×C4 | — | 3 | 1 | no | — |
| 504 | C23×C4 | — | 6 | 8 | no | — |
| 505 | C23×C4 | — | 6 | 1 | no | — |
| 506 | C23×C4 | — | 6 | 2 | no | — |
| 507 | C23×C4 | — | 6 | 4 | no | — |
| 508 | C23×C4 | — | 6 | 4 | no | — |
| 509 | C23×C4 | — | 6 | 2 | no | — |
| 510 | C23×C4 | — | 6 | 16 | no | — |
| 511 | C23×C4 | — | 6 | 1 | no | — |
| 512 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 513 | #137 | — | 6 | 8 | no | — |
| 514 | #137 | — | 6 | 16 | no | — |
| 515 | #137 | — | 6 | 8 | no | — |
| 516 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 517 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 518 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 519 | #135 | — | 6 | 16 | no | — |
| 520 | #135 | — | 6 | 16 | no | — |
| 521 | C2×Q16 | — | 3 | 4 | no | — |
| 522 | C2×Q16 | — | 3 | 4 | no | — |
| 523 | C2×SD16 | — | 3 | 4 | no | — |
| 524 | C2×SD16 | — | 3 | 4 | no | — |
| 525 | C2×SD16 | — | 3 | 4 | no | — |
| 526 | C2×SD16 | C22×D3 | 1 | 4 | yes | complemented |
| 527 | C2×D8 | — | 3 | 4 | no | — |
| 528 | C2×D8 | C22×D3 | 1 | 4 | yes | complemented |
| 529 | C2×M16 | — | 3 | 2 | no | — |
| 530 | C2×M16 | — | 3 | 4 | no | — |
| 531 | C2×M16 | — | 6 | 8 | no | — |
| 532 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 533 | C22×C8 | — | 3 | 4 | no | — |
| 534 | #123 | — | 2 | 1 | no | — |
| 535 | #123 | — | 6 | 2 | no | — |
| 536 | #123 | — | 6 | 1 | no | — |
| 537 | #123 | — | 6 | 2 | no | — |
| 538 | #123 | — | 6 | 1 | no | — |
| 539 | #123 | — | 6 | 1 | no | — |
| 540 | C22⋊Q8 | — | 3 | 2 | no | — |
| 541 | C22⋊Q8 | — | 3 | 2 | no | — |
| 542 | C22⋊Q8 | — | 3 | 2 | no | — |
| 543 | C22⋊Q8 | — | 6 | 2 | no | — |
| 544 | C22⋊Q8 | — | 6 | 2 | no | — |
| 545 | C22⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 546 | #121 | — | 3 | 2 | no | — |
| 547 | #121 | — | 3 | 2 | no | — |
| 548 | #121 | — | 3 | 2 | no | — |
| 549 | #121 | — | 6 | 2 | no | — |
| 550 | #121 | — | 6 | 2 | no | — |
| 551 | #121 | C22×D3 | 1 | 2 | yes | — |
| 552 | #120 | — | 2 | 1 | no | — |
| 553 | #120 | — | 6 | 1 | no | — |
| 554 | #120 | — | 6 | 2 | no | — |
| 555 | #120 | — | 6 | 2 | no | — |
| 556 | #120 | — | 6 | 1 | no | — |
| 557 | #120 | — | 6 | 1 | no | — |
| 558 | C4×D4 | — | 2 | 2 | no | — |
| 559 | C4×D4 | — | 6 | 2 | no | — |
| 560 | C4×D4 | — | 6 | 2 | no | — |
| 561 | C4×D4 | — | 6 | 2 | no | — |
| 562 | C4×D4 | — | 6 | 2 | no | — |
| 563 | C4×D4 | — | 6 | 2 | no | — |
| 564 | C4×D4 | — | 6 | 2 | no | — |
| 565 | C4×D4 | — | 6 | 2 | no | — |
| 566 | #117 | — | 3 | 1 | no | — |
| 567 | #117 | — | 3 | 2 | no | — |
| 568 | #117 | — | 6 | 1 | no | — |
| 569 | #117 | — | 6 | 1 | no | — |
| 570 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 571 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 572 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 573 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 574 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 575 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 576 | C2×C42 | — | 6 | 1 | no | — |
| 577 | #103 | — | 3 | 8 | no | — |
| 578 | #103 | — | 3 | 8 | no | — |
| 579 | #102 | — | 3 | 8 | no | — |
| 580 | #102 | C22×D3 | 1 | 8 | yes | complemented |
| 581 | C22⋊C8 | — | 3 | 4 | no | — |
| 582 | C22⋊C8 | — | 3 | 8 | no | — |
| 583 | C22⋊C8 | C22×D3 | 1 | 4 | yes | — |
| 584 | C23×C3 | — | 2 | 2 | no | — |
| 585 | C23×C3 | — | 2 | 4 | no | — |
| 586 | C23×C3 | — | 2 | 16 | no | — |
| 587 | C23×C3 | — | 2 | 8 | no | — |
| 588 | C23×C3 | — | 2 | 4 | no | — |
| 589 | C23×C3 | — | 2 | 1 | no | — |
| 590 | C23×C3 | — | 4 | 32 | no | — |
| 591 | C23×C3 | — | 4 | 8 | no | — |
| 592 | C23×C3 | — | 4 | 8 | no | — |
| 593 | C23×C3 | — | 4 | 8 | no | — |
| 594 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 595 | C23×C3 | C22×D4 | 1 | 2 | yes | — |
| 596 | C22×D3 | — | 2 | 2 | no | — |
| 597 | C22×D3 | — | 2 | 4 | no | — |
| 598 | C22×D3 | — | 2 | 4 | no | — |
| 599 | C22×D3 | — | 2 | 4 | no | — |
| 600 | C22×D3 | — | 2 | 4 | no | — |
| 601 | C22×D3 | — | 2 | 1 | no | — |
| 602 | C22×D3 | — | 4 | 2 | no | — |
| 603 | C22×D3 | — | 4 | 2 | no | — |
| 604 | C22×D3 | — | 4 | 2 | no | — |
| 605 | C22×D3 | — | 4 | 2 | no | — |
| 606 | C22×D3 | — | 4 | 4 | no | — |
| 607 | C22×D3 | — | 4 | 16 | no | — |
| 608 | C22×D3 | — | 4 | 2 | no | — |
| 609 | C22×D3 | #120 | 1 | 4 | yes | — |
| 610 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 611 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 612 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 613 | C3×Q8 | — | 2 | 2 | no | — |
| 614 | C3×D4 | — | 2 | 16 | no | — |
| 615 | C3×D4 | — | 2 | 8 | no | — |
| 616 | C3×D4 | — | 2 | 4 | no | — |
| 617 | C3×D4 | — | 2 | 2 | no | — |
| 618 | C3×D4 | — | 4 | 2 | no | — |
| 619 | C3×D4 | — | 4 | 4 | no | — |
| 620 | C3×D4 | C22×D4 | 1 | 8 | yes | — |
| 621 | C2×C3×C4 | — | 2 | 2 | no | — |
| 622 | C2×C3×C4 | — | 2 | 4 | no | — |
| 623 | C2×C3×C4 | — | 2 | 4 | no | — |
| 624 | C2×C3×C4 | — | 2 | 2 | no | — |
| 625 | C2×C3×C4 | — | 2 | 1 | no | — |
| 626 | C2×C3×C4 | — | 4 | 2 | no | — |
| 627 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 628 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 629 | C2×C3×C4 | C22×D4 | 1 | 4 | yes | — |
| 630 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 631 | #67 | — | 2 | 32 | no | — |
| 632 | #67 | — | 2 | 16 | no | — |
| 633 | #67 | — | 2 | 16 | no | — |
| 634 | #67 | — | 4 | 4 | no | — |
| 635 | #67 | — | 4 | 2 | no | — |
| 636 | #67 | — | 4 | 4 | no | — |
| 637 | #67 | — | 4 | 2 | no | — |
| 638 | #67 | — | 4 | 2 | no | — |
| 639 | C2×Dic3 | — | 2 | 16 | no | — |
| 640 | C2×Dic3 | — | 2 | 32 | no | — |
| 641 | C2×Dic3 | — | 2 | 8 | no | — |
| 642 | C2×Dic3 | — | 2 | 2 | no | — |
| 643 | C2×Dic3 | — | 2 | 4 | no | — |
| 644 | C2×Dic3 | — | 2 | 4 | no | — |
| 645 | C2×Dic3 | — | 2 | 4 | no | — |
| 646 | C2×Dic3 | — | 2 | 16 | no | — |
| 647 | C2×Dic3 | — | 2 | 16 | no | — |
| 648 | C2×Dic3 | — | 2 | 2 | no | — |
| 649 | C2×Dic3 | — | 2 | 1 | no | — |
| 650 | C2×Dic3 | — | 4 | 2 | no | — |
| 651 | C2×Dic3 | #120 | 1 | 4 | yes | — |
| 652 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 653 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 654 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 655 | D12 | — | 2 | 2 | no | — |
| 656 | D12 | — | 4 | 4 | no | — |
| 657 | D12 | — | 4 | 2 | no | — |
| 658 | C4×D3 | — | 2 | 4 | no | — |
| 659 | C4×D3 | — | 2 | 4 | no | — |
| 660 | C4×D3 | — | 2 | 4 | no | — |
| 661 | C4×D3 | — | 2 | 4 | no | — |
| 662 | C4×D3 | — | 2 | 4 | no | — |
| 663 | C4×D3 | — | 2 | 4 | no | — |
| 664 | C4×D3 | — | 4 | 4 | no | — |
| 665 | C4×D3 | — | 4 | 2 | no | — |
| 666 | C4×D3 | — | 4 | 2 | no | — |
| 667 | C4×D3 | — | 4 | 2 | no | — |
| 668 | C4×D3 | #120 | 1 | 4 | yes | — |
| 669 | C4×D3 | #120 | 1 | 4 | yes | — |
| 670 | C4×D3 | C22×D4 | 1 | 4 | yes | — |
| 671 | C4×D3 | C22×D4 | 1 | 4 | yes | — |
| 672 | Dic6 | — | 2 | 16 | no | — |
| 673 | Dic6 | — | 2 | 8 | no | — |
| 674 | Dic6 | — | 2 | 4 | no | — |
| 675 | Dic6 | — | 2 | 2 | no | — |
| 676 | Dic6 | — | 4 | 2 | no | — |
| 677 | Dic6 | C22×D4 | 1 | 8 | yes | — |
| 678 | C3×C8 | — | 2 | 4 | no | — |
| 679 | C3⋊C8 | — | 2 | 4 | no | — |
| 680 | C24 | — | 2 | 8 | no | — |
| 681 | C24 | — | 2 | 4 | no | — |
| 682 | C24 | — | 2 | 2 | no | — |
| 683 | C24 | — | 3 | 1 | no | — |
| 684 | C24 | — | 3 | 2 | no | — |
| 685 | C24 | — | 3 | 2 | no | — |
| 686 | C24 | — | 3 | 1 | no | — |
| 687 | C24 | — | 4 | 8 | no | — |
| 688 | C24 | — | 6 | 4 | no | — |
| 689 | C24 | — | 6 | 1 | no | — |
| 690 | C24 | — | 12 | 4 | no | — |
| 691 | C24 | D3×D4 | 1 | 1 | yes | characteristic |
| 692 | #41 | — | 2 | 4 | no | — |
| 693 | #41 | — | 3 | 16 | no | — |
| 694 | #41 | — | 3 | 16 | no | — |
| 695 | #41 | — | 6 | 8 | no | — |
| 696 | #41 | — | 6 | 8 | no | — |
| 697 | #41 | — | 6 | 16 | no | — |
| 698 | #41 | — | 6 | 16 | no | — |
| 699 | #41 | — | 6 | 4 | no | — |
| 700 | #41 | — | 6 | 4 | no | — |
| 701 | #41 | — | 6 | 16 | no | — |
| 702 | #41 | — | 6 | 32 | no | — |
| 703 | #41 | — | 6 | 32 | no | — |
| 704 | #41 | — | 6 | 32 | no | — |
| 705 | #41 | — | 6 | 32 | no | — |
| 706 | #41 | — | 6 | 32 | no | — |
| 707 | #41 | — | 6 | 16 | no | — |
| 708 | #41 | — | 6 | 4 | no | — |
| 709 | #41 | — | 12 | 4 | no | — |
| 710 | #41 | — | 12 | 4 | no | — |
| 711 | C2×Q8 | — | 3 | 8 | no | — |
| 712 | C2×Q8 | — | 3 | 4 | no | — |
| 713 | C2×Q8 | — | 3 | 1 | no | — |
| 714 | C2×Q8 | — | 6 | 1 | no | — |
| 715 | C2×Q8 | — | 6 | 16 | no | — |
| 716 | C2×Q8 | — | 6 | 8 | no | — |
| 717 | C2×Q8 | — | 6 | 16 | no | — |
| 718 | C2×Q8 | — | 6 | 4 | no | — |
| 719 | C2×Q8 | — | 6 | 4 | no | — |
| 720 | C2×Q8 | — | 6 | 2 | no | — |
| 721 | C2×Q8 | — | 6 | 4 | no | — |
| 722 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 723 | C2×D4 | — | 2 | 8 | no | — |
| 724 | C2×D4 | — | 2 | 16 | no | — |
| 725 | C2×D4 | — | 2 | 16 | no | — |
| 726 | C2×D4 | — | 2 | 2 | no | — |
| 727 | C2×D4 | — | 2 | 1 | no | — |
| 728 | C2×D4 | — | 2 | 4 | no | — |
| 729 | C2×D4 | — | 2 | 4 | no | — |
| 730 | C2×D4 | — | 2 | 2 | no | — |
| 731 | C2×D4 | — | 3 | 1 | no | — |
| 732 | C2×D4 | — | 6 | 2 | no | — |
| 733 | C2×D4 | — | 6 | 1 | no | — |
| 734 | C2×D4 | — | 6 | 4 | no | — |
| 735 | C2×D4 | — | 6 | 1 | no | — |
| 736 | C2×D4 | — | 6 | 4 | no | — |
| 737 | C2×D4 | — | 6 | 4 | no | — |
| 738 | C2×D4 | — | 6 | 8 | no | — |
| 739 | C2×D4 | — | 6 | 16 | no | — |
| 740 | C2×D4 | — | 6 | 32 | no | — |
| 741 | C2×D4 | — | 6 | 32 | no | — |
| 742 | C2×D4 | — | 6 | 16 | no | — |
| 743 | C2×D4 | — | 6 | 2 | no | — |
| 744 | C2×D4 | — | 6 | 1 | no | — |
| 745 | C2×D4 | — | 6 | 2 | no | — |
| 746 | C2×D4 | — | 6 | 1 | no | — |
| 747 | C2×D4 | — | 12 | 4 | no | — |
| 748 | C2×D4 | — | 12 | 8 | no | — |
| 749 | C2×D4 | D3×D4 | 1 | 8 | yes | complemented |
| 750 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 751 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 752 | C22×C4 | — | 2 | 4 | no | — |
| 753 | C22×C4 | — | 2 | 1 | no | — |
| 754 | C22×C4 | — | 3 | 1 | no | — |
| 755 | C22×C4 | — | 3 | 1 | no | — |
| 756 | C22×C4 | — | 3 | 1 | no | — |
| 757 | C22×C4 | — | 3 | 8 | no | — |
| 758 | C22×C4 | — | 3 | 1 | no | — |
| 759 | C22×C4 | — | 3 | 1 | no | — |
| 760 | C22×C4 | — | 3 | 2 | no | — |
| 761 | C22×C4 | — | 3 | 2 | no | — |
| 762 | C22×C4 | — | 3 | 1 | no | — |
| 763 | C22×C4 | — | 3 | 2 | no | — |
| 764 | C22×C4 | — | 3 | 2 | no | — |
| 765 | C22×C4 | — | 3 | 2 | no | — |
| 766 | C22×C4 | — | 3 | 2 | no | — |
| 767 | C22×C4 | — | 3 | 2 | no | — |
| 768 | C22×C4 | — | 3 | 2 | no | — |
| 769 | C22×C4 | — | 6 | 4 | no | — |
| 770 | C22×C4 | — | 6 | 8 | no | — |
| 771 | C22×C4 | — | 6 | 8 | no | — |
| 772 | C22×C4 | — | 6 | 8 | no | — |
| 773 | C22×C4 | — | 6 | 8 | no | — |
| 774 | C22×C4 | — | 6 | 1 | no | — |
| 775 | C22×C4 | — | 6 | 4 | no | — |
| 776 | C22×C4 | — | 6 | 2 | no | — |
| 777 | C22×C4 | — | 6 | 1 | no | — |
| 778 | C22×C4 | — | 6 | 4 | no | — |
| 779 | C22×C4 | — | 6 | 4 | no | — |
| 780 | C22×C4 | — | 6 | 4 | no | — |
| 781 | C22×C4 | — | 6 | 16 | no | — |
| 782 | C22×C4 | — | 6 | 8 | no | — |
| 783 | C22×C4 | — | 6 | 1 | no | — |
| 784 | C22×C4 | — | 6 | 8 | no | — |
| 785 | C22×C4 | — | 6 | 32 | no | — |
| 786 | C22×C4 | — | 6 | 32 | no | — |
| 787 | C22×C4 | — | 6 | 16 | no | — |
| 788 | C22×C4 | — | 6 | 4 | no | — |
| 789 | C22×C4 | — | 6 | 2 | no | — |
| 790 | C22×C4 | — | 6 | 4 | no | — |
| 791 | C22×C4 | — | 6 | 1 | no | — |
| 792 | C22×C4 | — | 12 | 4 | no | — |
| 793 | C22×C4 | D3×D4 | 1 | 2 | yes | — |
| 794 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 795 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 796 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 797 | Q16 | — | 6 | 8 | no | — |
| 798 | Q16 | — | 6 | 8 | no | — |
| 799 | SD16 | — | 2 | 8 | no | — |
| 800 | SD16 | — | 6 | 8 | no | — |
| 801 | SD16 | — | 6 | 8 | no | — |
| 802 | SD16 | — | 6 | 8 | no | — |
| 803 | D8 | — | 2 | 8 | no | — |
| 804 | D8 | — | 6 | 8 | no | — |
| 805 | M16 | — | 2 | 4 | no | — |
| 806 | M16 | — | 6 | 8 | no | — |
| 807 | M16 | — | 6 | 4 | no | — |
| 808 | C2×C8 | — | 3 | 4 | no | — |
| 809 | C2×C8 | — | 6 | 8 | no | — |
| 810 | C2×C8 | C23×D3 | 1 | 4 | yes | — |
| 811 | C4⋊C4 | — | 2 | 2 | no | — |
| 812 | C4⋊C4 | — | 3 | 2 | no | — |
| 813 | C4⋊C4 | — | 6 | 2 | no | — |
| 814 | C4⋊C4 | — | 6 | 2 | no | — |
| 815 | C4⋊C4 | — | 6 | 2 | no | — |
| 816 | C4⋊C4 | — | 6 | 2 | no | — |
| 817 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 818 | C22⋊C4 | — | 2 | 1 | no | — |
| 819 | C22⋊C4 | — | 2 | 2 | no | — |
| 820 | C22⋊C4 | — | 2 | 2 | no | — |
| 821 | C22⋊C4 | — | 6 | 2 | no | — |
| 822 | C22⋊C4 | — | 6 | 2 | no | — |
| 823 | C22⋊C4 | — | 6 | 2 | no | — |
| 824 | C22⋊C4 | — | 6 | 2 | no | — |
| 825 | C22⋊C4 | — | 6 | 2 | no | — |
| 826 | C22⋊C4 | — | 6 | 1 | no | — |
| 827 | C22⋊C4 | — | 6 | 2 | no | — |
| 828 | C22⋊C4 | — | 6 | 2 | no | — |
| 829 | C42 | — | 2 | 1 | no | — |
| 830 | C42 | — | 6 | 2 | no | — |
| 831 | C42 | — | 6 | 1 | no | — |
| 832 | C22×C3 | — | 2 | 8 | no | — |
| 833 | C22×C3 | — | 2 | 2 | no | — |
| 834 | C22×C3 | — | 2 | 2 | no | — |
| 835 | C22×C3 | — | 2 | 2 | no | — |
| 836 | C22×C3 | — | 2 | 8 | no | — |
| 837 | C22×C3 | — | 4 | 16 | no | — |
| 838 | C22×C3 | — | 4 | 32 | no | — |
| 839 | C22×C3 | — | 4 | 8 | no | — |
| 840 | C22×C3 | — | 4 | 1 | no | — |
| 841 | C22×C3 | — | 4 | 2 | no | — |
| 842 | C22×C3 | C2×#120 | 1 | 2 | yes | — |
| 843 | C22×C3 | #575 | 1 | 4 | yes | complemented |
| 844 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 845 | C2×D3 | — | 2 | 2 | no | — |
| 846 | C2×D3 | — | 2 | 2 | no | — |
| 847 | C2×D3 | — | 2 | 2 | no | — |
| 848 | C2×D3 | — | 2 | 2 | no | — |
| 849 | C2×D3 | — | 2 | 2 | no | — |
| 850 | C2×D3 | — | 4 | 4 | no | — |
| 851 | C2×D3 | — | 4 | 8 | no | — |
| 852 | C2×D3 | — | 4 | 8 | no | — |
| 853 | C2×D3 | — | 4 | 4 | no | — |
| 854 | C2×D3 | — | 4 | 1 | no | — |
| 855 | C2×D3 | — | 4 | 2 | no | — |
| 856 | C2×D3 | — | 8 | 4 | no | — |
| 857 | C2×D3 | C2×#120 | 1 | 2 | yes | — |
| 858 | C2×D3 | C2×#120 | 1 | 2 | yes | — |
| 859 | C3×C4 | — | 2 | 2 | no | — |
| 860 | C3×C4 | — | 4 | 1 | no | — |
| 861 | C3×C4 | — | 4 | 2 | no | — |
| 862 | C3×C4 | C2×#120 | 1 | 2 | yes | — |
| 863 | C3×C4 | C23×D4 | 1 | 2 | yes | — |
| 864 | Dic3 | — | 2 | 8 | no | — |
| 865 | Dic3 | — | 2 | 2 | no | — |
| 866 | Dic3 | — | 4 | 1 | no | — |
| 867 | Dic3 | — | 4 | 2 | no | — |
| 868 | Dic3 | C2×#120 | 1 | 2 | yes | — |
| 869 | Dic3 | C2×#120 | 1 | 2 | yes | — |
| 870 | C23 | — | 2 | 4 | no | — |
| 871 | C23 | — | 2 | 2 | no | — |
| 872 | C23 | — | 2 | 16 | no | — |
| 873 | C23 | — | 2 | 4 | no | — |
| 874 | C23 | — | 2 | 8 | no | — |
| 875 | C23 | — | 2 | 1 | no | — |
| 876 | C23 | — | 3 | 1 | no | — |
| 877 | C23 | — | 3 | 1 | no | — |
| 878 | C23 | — | 3 | 4 | no | — |
| 879 | C23 | — | 3 | 2 | no | — |
| 880 | C23 | — | 4 | 32 | no | — |
| 881 | C23 | — | 4 | 8 | no | — |
| 882 | C23 | — | 4 | 8 | no | — |
| 883 | C23 | — | 4 | 8 | no | — |
| 884 | C23 | — | 6 | 4 | no | — |
| 885 | C23 | — | 6 | 4 | no | — |
| 886 | C23 | — | 6 | 4 | no | — |
| 887 | C23 | — | 6 | 4 | no | — |
| 888 | C23 | — | 6 | 2 | no | — |
| 889 | C23 | — | 6 | 1 | no | — |
| 890 | C23 | — | 12 | 2 | no | — |
| 891 | C23 | — | 12 | 2 | no | — |
| 892 | C23 | — | 12 | 2 | no | — |
| 893 | C23 | — | 12 | 2 | no | — |
| 894 | C23 | — | 12 | 16 | no | — |
| 895 | C23 | — | 12 | 2 | no | — |
| 896 | C23 | — | 12 | 4 | no | — |
| 897 | C23 | C2×D3×D4 | 1 | 2 | yes | — |
| 898 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 899 | Q8 | — | 2 | 2 | no | — |
| 900 | Q8 | — | 3 | 8 | no | — |
| 901 | Q8 | — | 6 | 16 | no | — |
| 902 | Q8 | — | 6 | 4 | no | — |
| 903 | Q8 | — | 6 | 8 | no | — |
| 904 | Q8 | — | 6 | 2 | no | — |
| 905 | Q8 | — | 12 | 2 | no | — |
| 906 | D4 | — | 2 | 16 | no | — |
| 907 | D4 | — | 2 | 4 | no | — |
| 908 | D4 | — | 2 | 2 | no | — |
| 909 | D4 | — | 2 | 8 | no | — |
| 910 | D4 | — | 4 | 4 | no | — |
| 911 | D4 | — | 4 | 2 | no | — |
| 912 | D4 | — | 6 | 16 | no | — |
| 913 | D4 | — | 6 | 16 | no | — |
| 914 | D4 | — | 6 | 32 | no | — |
| 915 | D4 | — | 6 | 2 | no | — |
| 916 | D4 | — | 12 | 2 | no | — |
| 917 | D4 | — | 12 | 2 | no | — |
| 918 | D4 | — | 12 | 4 | no | — |
| 919 | D4 | — | 12 | 2 | no | — |
| 920 | D4 | — | 12 | 4 | no | — |
| 921 | D4 | — | 12 | 4 | no | — |
| 922 | D4 | — | 12 | 2 | no | — |
| 923 | D4 | C2×D3×D4 | 1 | 8 | yes | — |
| 924 | C2×C4 | — | 2 | 2 | no | — |
| 925 | C2×C4 | — | 2 | 4 | no | — |
| 926 | C2×C4 | — | 2 | 4 | no | — |
| 927 | C2×C4 | — | 2 | 2 | no | — |
| 928 | C2×C4 | — | 2 | 1 | no | — |
| 929 | C2×C4 | — | 3 | 1 | no | — |
| 930 | C2×C4 | — | 3 | 1 | no | — |
| 931 | C2×C4 | — | 3 | 4 | no | — |
| 932 | C2×C4 | — | 3 | 4 | no | — |
| 933 | C2×C4 | — | 3 | 4 | no | — |
| 934 | C2×C4 | — | 3 | 4 | no | — |
| 935 | C2×C4 | — | 3 | 4 | no | — |
| 936 | C2×C4 | — | 3 | 2 | no | — |
| 937 | C2×C4 | — | 4 | 2 | no | — |
| 938 | C2×C4 | — | 6 | 4 | no | — |
| 939 | C2×C4 | — | 6 | 4 | no | — |
| 940 | C2×C4 | — | 6 | 4 | no | — |
| 941 | C2×C4 | — | 6 | 4 | no | — |
| 942 | C2×C4 | — | 6 | 4 | no | — |
| 943 | C2×C4 | — | 6 | 4 | no | — |
| 944 | C2×C4 | — | 6 | 16 | no | — |
| 945 | C2×C4 | — | 6 | 16 | no | — |
| 946 | C2×C4 | — | 6 | 16 | no | — |
| 947 | C2×C4 | — | 6 | 32 | no | — |
| 948 | C2×C4 | — | 6 | 4 | no | — |
| 949 | C2×C4 | — | 6 | 2 | no | — |
| 950 | C2×C4 | — | 6 | 8 | no | — |
| 951 | C2×C4 | — | 6 | 4 | no | — |
| 952 | C2×C4 | — | 6 | 4 | no | — |
| 953 | C2×C4 | — | 6 | 2 | no | — |
| 954 | C2×C4 | — | 6 | 1 | no | — |
| 955 | C2×C4 | — | 12 | 2 | no | — |
| 956 | C2×C4 | — | 12 | 2 | no | — |
| 957 | C2×C4 | — | 12 | 2 | no | — |
| 958 | C2×C4 | — | 12 | 4 | no | — |
| 959 | C2×C4 | — | 12 | 2 | no | — |
| 960 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 961 | C2×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 962 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 963 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 964 | C8 | — | 2 | 4 | no | — |
| 965 | C8 | — | 6 | 4 | no | — |
| 966 | C2×C3 | — | 2 | 2 | no | — |
| 967 | C2×C3 | — | 2 | 4 | no | — |
| 968 | C2×C3 | — | 4 | 8 | no | — |
| 969 | C2×C3 | — | 8 | 1 | no | — |
| 970 | C2×C3 | C22×#120 | 1 | 1 | yes | characteristic |
| 971 | C2×C3 | C2×#575 | 1 | 2 | yes | — |
| 972 | D3 | — | 2 | 2 | no | — |
| 973 | D3 | — | 2 | 2 | no | — |
| 974 | D3 | — | 4 | 2 | no | — |
| 975 | D3 | — | 8 | 1 | no | — |
| 976 | C22 | — | 2 | 8 | no | — |
| 977 | C22 | — | 2 | 2 | no | — |
| 978 | C22 | — | 2 | 2 | no | — |
| 979 | C22 | — | 2 | 2 | no | — |
| 980 | C22 | — | 2 | 8 | no | — |
| 981 | C22 | — | 3 | 2 | no | — |
| 982 | C22 | — | 3 | 2 | no | — |
| 983 | C22 | — | 4 | 32 | no | — |
| 984 | C22 | — | 4 | 16 | no | — |
| 985 | C22 | — | 4 | 8 | no | — |
| 986 | C22 | — | 4 | 2 | no | — |
| 987 | C22 | — | 4 | 1 | no | — |
| 988 | C22 | — | 6 | 2 | no | — |
| 989 | C22 | — | 6 | 2 | no | — |
| 990 | C22 | — | 6 | 2 | no | — |
| 991 | C22 | — | 6 | 2 | no | — |
| 992 | C22 | — | 6 | 2 | no | — |
| 993 | C22 | — | 12 | 4 | no | — |
| 994 | C22 | — | 12 | 8 | no | — |
| 995 | C22 | — | 12 | 8 | no | — |
| 996 | C22 | — | 12 | 4 | no | — |
| 997 | C22 | — | 12 | 2 | no | — |
| 998 | C22 | — | 12 | 1 | no | — |
| 999 | C22 | — | 24 | 4 | no | — |
| 1000 | C22 | D3×#120 | 1 | 2 | yes | — |
| 1001 | C22 | #5773 | 1 | 4 | yes | complemented |
| 1002 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1003 | C4 | — | 2 | 2 | no | — |
| 1004 | C4 | — | 3 | 2 | no | — |
| 1005 | C4 | — | 3 | 2 | no | — |
| 1006 | C4 | — | 4 | 2 | no | — |
| 1007 | C4 | — | 4 | 1 | no | — |
| 1008 | C4 | — | 6 | 2 | no | — |
| 1009 | C4 | — | 6 | 8 | no | — |
| 1010 | C4 | — | 12 | 2 | no | — |
| 1011 | C4 | — | 12 | 1 | no | — |
| 1012 | C4 | D3×#120 | 1 | 2 | yes | — |
| 1013 | C4 | C22×D3×D4 | 1 | 2 | yes | — |
| 1014 | C3 | #60359 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1015 | C2 | — | 2 | 4 | no | — |
| 1016 | C2 | — | 2 | 2 | no | — |
| 1017 | C2 | — | 4 | 8 | no | — |
| 1018 | C2 | — | 6 | 2 | no | — |
| 1019 | C2 | — | 6 | 2 | no | — |
| 1020 | C2 | — | 8 | 1 | no | — |
| 1021 | C2 | — | 12 | 2 | no | — |
| 1022 | C2 | — | 24 | 1 | no | — |
| 1023 | C2 | C2×D3×#120 | 1 | 1 | yes | characteristic |
| 1024 | C2 | C2×#5773 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C23×#237 | C2 | semidirect |
| 2. C2×#5773 | C2 | semidirect |
| 3. D3×#525 | C2 | semidirect |
| 4. C3×#3003 | C2 | semidirect |
| 5. #84038 | C2 | semidirect |
| 6. #83945 | C2 | semidirect |
| 7. #82933 | C2 | semidirect |
| 8. #80147 | C2 | semidirect |
| 9. #80145 | C2 | semidirect |
| 10. #80003 | C2 | semidirect |
| 11. #80001 | C2 | semidirect |
| 12. #78927 | C2 | semidirect |
| 13. #78924 | C2 | semidirect |
| 14. #78645 | C2 | semidirect |
| 15. D3×#407 | C2 | semidirect |
| 17. C23×C3×D4 | C22 | semidirect |
| 20. C2×D3×#41 | C22 | semidirect |
| 28. C22×#237 | C22 | semidirect |
| 29. C22×#237 | C22 | semidirect |
| 31. C23×Dic6 | C22 | semidirect |
| 32. C2×C3×AGL(1,ℤ/8) | C22 | semidirect |
| 34. #5828 | C22 | semidirect |
| 35. C2×#951 | C22 | semidirect |
| 36. C2×#932 | C22 | semidirect |
| 39. C2×#916 | C22 | semidirect |
| 40. C2×#915 | C22 | semidirect |
| 41. C2×#912 | C22 | semidirect |
| 42. C2×#911 | C22 | semidirect |
| 43. C2×#909 | C22 | semidirect |
| 44. C2×D3×M16 | C22 | semidirect |
| 47. #5627 | C22 | semidirect |
| 48. D3×C22⋊Q8 | C22 | semidirect |
| 49. #5606 | C22 | semidirect |
| 50. D3×#121 | C22 | semidirect |
| 55. #5524 | C22 | semidirect |
| 56. D3×#117 | C22 | semidirect |
| 57. C3×#450 | C22 | semidirect |
| 58. C3×#447 | C22 | semidirect |
| 59. C3×#418 | C22 | semidirect |
| 60. C3×#407 | C22 | semidirect |
| 61. #5218 | C22 | semidirect |
| 62. #5217 | C22 | semidirect |
| 63. #5215 | C22 | semidirect |
| 64. #5207 | C22 | semidirect |
| 65. #5173 | C22 | semidirect |
| 66. #5158 | C22 | semidirect |
| 67. #5126 | C22 | semidirect |
| 68. #5120 | C22 | semidirect |
| 69. #5050 | C22 | semidirect |
| 70. #5040 | C22 | semidirect |
| 71. #5004 | C22 | semidirect |
| 72. #4783 | C22 | semidirect |
| 73. #4781 | C22 | semidirect |
| 74. #4772 | C22 | semidirect |
| 75. #4771 | C22 | semidirect |
| 76. #4739 | C22 | semidirect |
| 77. #4738 | C22 | semidirect |
| 78. #4726 | C22 | semidirect |
| 79. D3×C22⋊C8 | C22 | semidirect |
| 90. #3003 | D3 | semidirect |
| 117. C2×#239 | C23 | semidirect |
| 118. C2×D3×Q8 | C23 | semidirect |
| 136. C2×#237 | D4 | semidirect |
| 140. C2×#237 | C23 | semidirect |
| 143. C2×D3×D4 | C23 | semidirect |
| 162. C2×C3×SD16 | C23 | semidirect |
| 163. C2×C3×D8 | C23 | semidirect |
| 173. #946 | C23 | semidirect |
| 174. C2×#216 | C23 | semidirect |
| 176. #938 | C23 | semidirect |
| 181. C2×#214 | C23 | semidirect |
| 182. C2×#214 | C23 | semidirect |
| 184. C2×#213 | C23 | semidirect |
| 198. C2×Dic12 | C23 | semidirect |
| 199. C2×#204 | C23 | semidirect |
| 200. C2×ΓL(1,𝔽25) | C23 | semidirect |
| 201. C2×D3×C8 | C23 | semidirect |
| 202. #897 | C23 | semidirect |
| 204. #895 | C23 | semidirect |
| 207. #892 | C23 | semidirect |
| 209. D3×C4⋊C4 | C23 | semidirect |
| 225. C3×#102 | C23 | semidirect |
| 227. #832 | C23 | semidirect |
| 229. (C2×D3)⋊C8 | C23 | semidirect |
| 230. #816 | C23 | semidirect |
| 231. #810 | C23 | semidirect |
| 244. C23×D4 | C2×D3 | semidirect |
| 253. C2×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 277. #450 | C2×D3 | semidirect |
| 283. #447 | C2×D3 | semidirect |
| 287. #418 | C2×D3 | semidirect |
| 293. #407 | C2×D3 | semidirect |
| 317. C2×C3×D4 | C2×D4 | semidirect |
| 370. #237 | C2×D4 | semidirect |
| 409. C2×Dic6 | C2×D4 | semidirect |
| 526. C2×SD16 | C22×D3 | semidirect |
| 528. C2×D8 | C22×D3 | semidirect |
| 580. #102 | C22×D3 | semidirect |
| 749. C2×D4 | D3×D4 | semidirect |
| 843. C22×C3 | #575 | semidirect |
| 1001. C22 | #5773 | semidirect |
| 1014. C3 | #60359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#237 | 2 |
| C2×#5773 | 2 |
| D3×#525 | 2 |
| C3×#3003 | 2 |
| #84038 | 2 |
| #83945 | 2 |
| #82933 | 2 |
| #80147 | 2 |
| #80145 | 2 |
| #80003 | 2 |
| #80001 | 2 |
| #78927 | 2 |
| #78924 | 2 |
| #78645 | 2 |
| D3×#407 | 2 |
| #60359 | 3 |