← #30575853
Subgroups — #30575853
Order 15616.
1684 conjugacy classes of subgroups.
The subgroup lattice has 836 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #21459705 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #41×Dic122 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #21458753 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #21458624 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21458435 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21458276 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #21458103 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #21457872 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #21457213 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #21457164 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21457035 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #21456965 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #21455950 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #21455859 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #21455626 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | C2×#16840048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | C61×#2989 | C2 | 1 | 1 | yes | maximal, characteristic |
| 18 | Q8×Dic122 | C22 | 1 | 1 | yes | characteristic |
| 19 | #16840491 | C22 | 1 | 1 | yes | characteristic |
| 20 | #16840490 | — | 2 | 1 | no | — |
| 21 | #16840490 | C22 | 1 | 2 | yes | — |
| 22 | #16840488 | — | 2 | 1 | no | — |
| 23 | #16840482 | — | 2 | 1 | no | — |
| 24 | #16840482 | C22 | 1 | 2 | yes | — |
| 25 | #16840471 | — | 2 | 2 | no | — |
| 26 | #16840471 | — | 2 | 1 | no | — |
| 27 | #16840469 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16840469 | C22 | 1 | 2 | yes | — |
| 29 | #16840452 | — | 2 | 2 | no | — |
| 30 | #16840452 | C22 | 1 | 4 | yes | — |
| 31 | D4×Dic122 | C22 | 1 | 1 | yes | characteristic |
| 32 | D4×Dic122 | C22 | 1 | 2 | yes | — |
| 33 | #16840374 | — | 2 | 2 | no | — |
| 34 | #16840333 | — | 2 | 1 | no | — |
| 35 | #16840319 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16840319 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16840319 | C22 | 1 | 2 | yes | — |
| 38 | #16840319 | C22 | 1 | 2 | yes | — |
| 39 | #16840319 | C22 | 1 | 2 | yes | — |
| 40 | #16840315 | — | 2 | 1 | no | — |
| 41 | #16840315 | — | 2 | 2 | no | — |
| 42 | C2×#14519777 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16840239 | — | 2 | 1 | no | — |
| 44 | #41×Dic61 | — | 2 | 1 | no | — |
| 45 | C2×C4×Dic122 | C22 | 1 | 2 | yes | — |
| 46 | C2×C4×Dic122 | C22 | 1 | 1 | yes | characteristic |
| 47 | #16840171 | C22 | 1 | 4 | yes | — |
| 48 | #16840160 | C22 | 1 | 2 | yes | — |
| 49 | #16840131 | C22 | 1 | 4 | yes | — |
| 50 | #16840113 | C22 | 1 | 2 | yes | — |
| 51 | #16840104 | C22 | 1 | 4 | yes | — |
| 52 | #16840104 | C22 | 1 | 4 | yes | — |
| 53 | #16840098 | C22 | 1 | 2 | yes | — |
| 54 | #16840093 | C22 | 1 | 4 | yes | — |
| 55 | #16840093 | C22 | 1 | 4 | yes | — |
| 56 | #16840070 | C22 | 1 | 4 | yes | — |
| 57 | #16840070 | C22 | 1 | 4 | yes | — |
| 58 | #16840058 | C22 | 1 | 2 | yes | — |
| 59 | #16840058 | C22 | 1 | 1 | yes | characteristic |
| 60 | #16840058 | C22 | 1 | 2 | yes | — |
| 61 | #16840058 | C22 | 1 | 1 | yes | characteristic |
| 62 | #16840048 | C22 | 1 | 2 | yes | — |
| 63 | #16840048 | C22 | 1 | 2 | yes | — |
| 64 | #16840048 | C22 | 1 | 2 | yes | — |
| 65 | #16840048 | C22 | 1 | 4 | yes | — |
| 66 | #16840048 | C22 | 1 | 2 | yes | — |
| 67 | #16840048 | C22 | 1 | 2 | yes | — |
| 68 | #16840048 | C22 | 1 | 2 | yes | — |
| 69 | #16840020 | C22 | 1 | 4 | yes | — |
| 70 | #16840020 | C22 | 1 | 4 | yes | — |
| 71 | #16840003 | C22 | 1 | 4 | yes | — |
| 72 | #16839973 | C22 | 1 | 2 | yes | — |
| 73 | #16839973 | C22 | 1 | 2 | yes | — |
| 74 | #16839973 | C22 | 1 | 1 | yes | characteristic |
| 75 | #16839973 | C22 | 1 | 4 | yes | — |
| 76 | #16839973 | C22 | 1 | 1 | yes | characteristic |
| 77 | #16839920 | C22 | 1 | 4 | yes | — |
| 78 | #16839920 | C22 | 1 | 2 | yes | — |
| 79 | #16839870 | C22 | 1 | 4 | yes | — |
| 80 | #16839870 | C22 | 1 | 4 | yes | — |
| 81 | C4×Dic244 | C22 | 1 | 2 | yes | — |
| 82 | C4×Dic244 | C22 | 1 | 2 | yes | — |
| 83 | #16839804 | C22 | 1 | 4 | yes | — |
| 84 | C2×#14519709 | C22 | 1 | 2 | yes | — |
| 85 | #16839772 | C22 | 1 | 4 | yes | — |
| 86 | C2×#14519702 | C22 | 1 | 2 | yes | — |
| 87 | C4×#41×C61 | C22 | 1 | 1 | yes | characteristic |
| 88 | C61×#446 | C22 | 1 | 2 | yes | — |
| 89 | C61×#436 | C22 | 1 | 2 | yes | — |
| 90 | C61×#435 | C22 | 1 | 4 | yes | — |
| 91 | C61×#432 | C22 | 1 | 2 | yes | — |
| 92 | C61×#431 | C22 | 1 | 1 | yes | characteristic |
| 93 | C61×#423 | C22 | 1 | 2 | yes | — |
| 94 | C2×C4⋊C8×C61 | C22 | 1 | 1 | yes | characteristic |
| 95 | C22×Dic122 | — | 2 | 1 | no | — |
| 96 | C22×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×Dic122 | C23 | 1 | 2 | yes | — |
| 98 | C2×Dic244 | C23 | 1 | 2 | yes | — |
| 99 | C2×Dic244 | C23 | 1 | 4 | yes | — |
| 100 | C2×Dic244 | C23 | 1 | 2 | yes | — |
| 101 | #14519777 | — | 2 | 1 | no | — |
| 102 | #14519777 | — | 2 | 1 | no | — |
| 103 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 104 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 105 | #14519777 | C23 | 1 | 2 | yes | — |
| 106 | #14519777 | C23 | 1 | 2 | yes | — |
| 107 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 108 | #14519777 | C23 | 1 | 2 | yes | — |
| 109 | #14519777 | C23 | 1 | 2 | yes | — |
| 110 | #14519777 | C23 | 1 | 1 | yes | characteristic |
| 111 | #14519776 | — | 2 | 1 | no | — |
| 112 | #14519776 | — | 2 | 2 | no | — |
| 113 | #14519776 | — | 2 | 1 | no | — |
| 114 | #14519776 | — | 2 | 2 | no | — |
| 115 | #14519775 | — | 2 | 2 | no | — |
| 116 | #14519770 | — | 2 | 4 | no | — |
| 117 | #14519770 | — | 2 | 4 | no | — |
| 118 | #14519769 | — | 2 | 2 | no | — |
| 119 | #14519769 | — | 2 | 2 | no | — |
| 120 | #14519769 | — | 2 | 1 | no | — |
| 121 | #14519769 | — | 2 | 1 | no | — |
| 122 | #14519769 | C23 | 1 | 4 | yes | — |
| 123 | #14519768 | — | 2 | 1 | no | — |
| 124 | #14519768 | — | 2 | 2 | no | — |
| 125 | #14519768 | — | 2 | 1 | no | — |
| 126 | #14519768 | — | 2 | 2 | no | — |
| 127 | #14519767 | — | 2 | 4 | no | — |
| 128 | #14519767 | — | 2 | 4 | no | — |
| 129 | #14519764 | — | 2 | 2 | no | — |
| 130 | #14519758 | — | 2 | 4 | no | — |
| 131 | #14519756 | — | 2 | 1 | no | — |
| 132 | #14519756 | — | 2 | 2 | no | — |
| 133 | #14519756 | — | 2 | 1 | no | — |
| 134 | #14519756 | — | 2 | 2 | no | — |
| 135 | #14519756 | — | 2 | 2 | no | — |
| 136 | #14519756 | — | 2 | 2 | no | — |
| 137 | #14519756 | C23 | 1 | 2 | yes | — |
| 138 | #14519756 | C23 | 1 | 4 | yes | — |
| 139 | #14519756 | C23 | 1 | 2 | yes | — |
| 140 | #14519756 | C23 | 1 | 2 | yes | — |
| 141 | #14519756 | C23 | 1 | 2 | yes | — |
| 142 | #14519754 | — | 2 | 2 | no | — |
| 143 | #14519754 | — | 2 | 2 | no | — |
| 144 | #14519754 | — | 2 | 2 | no | — |
| 145 | #14519754 | — | 2 | 2 | no | — |
| 146 | #14519754 | — | 2 | 2 | no | — |
| 147 | #14519754 | — | 2 | 2 | no | — |
| 148 | Q8×Dic61 | — | 2 | 1 | no | — |
| 149 | Q8×Dic61 | — | 2 | 1 | no | — |
| 150 | C4×Dic122 | — | 2 | 2 | no | — |
| 151 | C4×Dic122 | — | 2 | 2 | no | — |
| 152 | C4×Dic122 | — | 2 | 1 | no | — |
| 153 | C4×Dic122 | — | 2 | 1 | no | — |
| 154 | C4×Dic122 | — | 2 | 2 | no | — |
| 155 | C4×Dic122 | — | 2 | 1 | no | — |
| 156 | C4×Dic122 | — | 2 | 2 | no | — |
| 157 | C4×Dic122 | — | 2 | 2 | no | — |
| 158 | C4×Dic122 | — | 2 | 2 | no | — |
| 159 | C4×Dic122 | — | 2 | 1 | no | — |
| 160 | C4×Dic122 | C23 | 1 | 4 | yes | — |
| 161 | C4×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 162 | C4×Dic122 | C23 | 1 | 2 | yes | — |
| 163 | C4×Dic122 | C23 | 1 | 2 | yes | — |
| 164 | C4×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 165 | C4×Dic122 | C23 | 1 | 2 | yes | — |
| 166 | C4×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 167 | C4×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 168 | C4×Dic122 | C23 | 1 | 2 | yes | — |
| 169 | #14519742 | — | 2 | 2 | no | — |
| 170 | #14519742 | — | 2 | 2 | no | — |
| 171 | D4×Dic61 | — | 2 | 2 | no | — |
| 172 | D4×Dic61 | — | 2 | 1 | no | — |
| 173 | D4×Dic61 | — | 2 | 2 | no | — |
| 174 | D4×Dic61 | — | 2 | 1 | no | — |
| 175 | #14519736 | — | 2 | 2 | no | — |
| 176 | #14519736 | — | 2 | 2 | no | — |
| 177 | #14519736 | — | 2 | 1 | no | — |
| 178 | #14519736 | — | 2 | 1 | no | — |
| 179 | #14519736 | C23 | 1 | 4 | yes | — |
| 180 | #14519733 | — | 2 | 4 | no | — |
| 181 | C2×C4⋊Dic61 | — | 2 | 1 | no | — |
| 182 | C2×C4⋊Dic61 | C23 | 1 | 2 | yes | — |
| 183 | C2×C4⋊Dic61 | C23 | 1 | 1 | yes | characteristic |
| 184 | C2×C4⋊Dic61 | C23 | 1 | 2 | yes | — |
| 185 | C2×#11758196 | — | 2 | 1 | no | — |
| 186 | C2×#11758196 | — | 2 | 2 | no | — |
| 187 | C2×C4×Dic61 | — | 2 | 2 | no | — |
| 188 | C2×C4×Dic61 | — | 2 | 1 | no | — |
| 189 | #14519711 | C23 | 1 | 4 | yes | — |
| 190 | #14519711 | C23 | 1 | 2 | yes | — |
| 191 | #14519711 | C23 | 1 | 2 | yes | — |
| 192 | #14519709 | C23 | 1 | 4 | yes | — |
| 193 | #14519709 | C23 | 1 | 4 | yes | — |
| 194 | #14519709 | C23 | 1 | 4 | yes | — |
| 195 | #14519709 | C23 | 1 | 4 | yes | — |
| 196 | #14519702 | C23 | 1 | 4 | yes | — |
| 197 | #14519702 | C23 | 1 | 4 | yes | — |
| 198 | #14519702 | C23 | 1 | 4 | yes | — |
| 199 | #14519702 | C23 | 1 | 2 | yes | — |
| 200 | #14519702 | C23 | 1 | 4 | yes | — |
| 201 | #14519702 | C23 | 1 | 2 | yes | — |
| 202 | #14519702 | C23 | 1 | 4 | yes | — |
| 203 | #14519702 | C23 | 1 | 2 | yes | — |
| 204 | #14519702 | C23 | 1 | 4 | yes | — |
| 205 | #14519702 | C23 | 1 | 2 | yes | — |
| 206 | C2×#41×C61 | D4 | 1 | 1 | yes | characteristic |
| 207 | C2×M16×C61 | C23 | 1 | 4 | yes | — |
| 208 | C22×C8×C61 | C23 | 1 | 2 | yes | — |
| 209 | C4×Q8×C61 | D4 | 1 | 1 | yes | characteristic |
| 210 | C4×Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 211 | C4×D4×C61 | D4 | 1 | 2 | yes | — |
| 212 | C4×D4×C61 | D4 | 1 | 1 | yes | characteristic |
| 213 | C4×D4×C61 | C23 | 1 | 2 | yes | — |
| 214 | C4×D4×C61 | C23 | 1 | 1 | yes | characteristic |
| 215 | #117×C61 | D4 | 1 | 1 | yes | characteristic |
| 216 | #117×C61 | D4 | 1 | 2 | yes | — |
| 217 | C2×C42×C61 | C23 | 1 | 1 | yes | characteristic |
| 218 | C2×C42×C61 | C23 | 1 | 2 | yes | — |
| 219 | C4⋊C8×C61 | C23 | 1 | 2 | yes | — |
| 220 | C4⋊C8×C61 | C23 | 1 | 2 | yes | — |
| 221 | C4⋊C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 222 | C4⋊C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 223 | C4⋊C8×C61 | C23 | 1 | 4 | yes | — |
| 224 | C22⋊C8×C61 | C23 | 1 | 2 | yes | — |
| 225 | C22⋊C8×C61 | C23 | 1 | 4 | yes | — |
| 226 | #97×C61 | C23 | 1 | 4 | yes | — |
| 227 | C4×C8×C61 | C23 | 1 | 2 | yes | — |
| 228 | #41×C61 | — | 2 | 4 | no | — |
| 229 | C2×Q8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×D4×C61 | C2×D4 | 1 | 2 | yes | — |
| 231 | C2×D4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | C22×C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 233 | C22×C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C22×C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 235 | C22×C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C22×C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 237 | C22×C4×C61 | C24 | 1 | 2 | yes | — |
| 238 | C22×Dic61 | — | 2 | 2 | no | — |
| 239 | C22×Dic61 | — | 2 | 2 | no | — |
| 240 | C22×Dic61 | — | 2 | 1 | no | — |
| 241 | C22×Dic61 | — | 2 | 2 | no | — |
| 242 | C22×Dic61 | — | 2 | 1 | no | — |
| 243 | C2×Dic122 | — | 2 | 2 | no | — |
| 244 | C2×Dic122 | — | 2 | 4 | no | — |
| 245 | C2×Dic122 | — | 2 | 2 | no | — |
| 246 | C2×Dic122 | — | 2 | 2 | no | — |
| 247 | C2×Dic122 | — | 2 | 2 | no | — |
| 248 | C2×Dic122 | — | 2 | 1 | no | — |
| 249 | C2×Dic122 | — | 2 | 1 | no | — |
| 250 | C2×Dic122 | — | 2 | 2 | no | — |
| 251 | C2×Dic122 | — | 2 | 1 | no | — |
| 252 | C2×Dic122 | — | 4 | 1 | no | — |
| 253 | C2×Dic122 | — | 4 | 2 | no | — |
| 254 | C2×Dic122 | — | 4 | 4 | no | — |
| 255 | C2×Dic122 | C24 | 1 | 1 | yes | characteristic |
| 256 | C2×Dic122 | C24 | 1 | 2 | yes | — |
| 257 | C2×Dic122 | C24 | 1 | 2 | yes | — |
| 258 | C2×Dic122 | C24 | 1 | 1 | yes | characteristic |
| 259 | M16×C61 | — | 4 | 4 | no | — |
| 260 | C2×C8×C61 | — | 4 | 2 | no | — |
| 261 | C2×C8×C61 | C24 | 1 | 2 | yes | — |
| 262 | C2×C8×C61 | C24 | 1 | 2 | yes | — |
| 263 | C2×C8×C61 | C24 | 1 | 4 | yes | — |
| 264 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 265 | C4⋊C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 266 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C4⋊C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 268 | C22⋊C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 269 | C22⋊C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 270 | C22⋊C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 271 | C42×C61 | C2×D4 | 1 | 2 | yes | — |
| 272 | C42×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C42×C61 | C2×D4 | 1 | 2 | yes | — |
| 274 | C42×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 276 | C42×C61 | C24 | 1 | 2 | yes | — |
| 277 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 278 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 279 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 280 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 281 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 282 | C22⋊Dic61 | — | 2 | 4 | no | — |
| 283 | C22⋊Dic61 | — | 2 | 4 | no | — |
| 284 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 285 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 286 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 287 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 288 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 289 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 290 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 291 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 292 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 293 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 294 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 295 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 296 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 297 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 298 | C4⋊Dic61 | C24 | 1 | 4 | yes | — |
| 299 | C4⋊Dic61 | C24 | 1 | 2 | yes | — |
| 300 | C4⋊Dic61 | C24 | 1 | 1 | yes | characteristic |
| 301 | C4⋊Dic61 | C24 | 1 | 2 | yes | — |
| 302 | C4⋊Dic61 | C24 | 1 | 1 | yes | characteristic |
| 303 | #11758196 | — | 2 | 1 | no | — |
| 304 | #11758196 | — | 2 | 2 | no | — |
| 305 | #11758196 | — | 2 | 1 | no | — |
| 306 | #11758196 | — | 2 | 2 | no | — |
| 307 | #11758196 | — | 2 | 1 | no | — |
| 308 | #11758196 | — | 2 | 1 | no | — |
| 309 | #11758196 | — | 2 | 2 | no | — |
| 310 | #11758196 | — | 2 | 4 | no | — |
| 311 | #11758196 | — | 2 | 4 | no | — |
| 312 | #11758196 | — | 2 | 2 | no | — |
| 313 | #11758196 | — | 2 | 2 | no | — |
| 314 | #11758196 | — | 2 | 2 | no | — |
| 315 | #11758196 | — | 2 | 4 | no | — |
| 316 | #11758196 | — | 2 | 2 | no | — |
| 317 | #11758196 | — | 2 | 4 | no | — |
| 318 | #11758196 | — | 2 | 2 | no | — |
| 319 | C4×Dic61 | — | 2 | 1 | no | — |
| 320 | C4×Dic61 | — | 2 | 2 | no | — |
| 321 | C4×Dic61 | — | 2 | 1 | no | — |
| 322 | C4×Dic61 | — | 2 | 2 | no | — |
| 323 | C4×Dic61 | — | 2 | 1 | no | — |
| 324 | C4×Dic61 | — | 2 | 2 | no | — |
| 325 | C4×Dic61 | — | 2 | 1 | no | — |
| 326 | C4×Dic61 | — | 2 | 4 | no | — |
| 327 | C4×Dic61 | — | 2 | 4 | no | — |
| 328 | C4×Dic61 | — | 2 | 2 | no | — |
| 329 | Dic244 | — | 2 | 4 | no | — |
| 330 | Dic244 | — | 4 | 4 | no | — |
| 331 | Dic244 | — | 4 | 2 | no | — |
| 332 | C23×C61 | C22×D4 | 1 | 2 | yes | — |
| 333 | C23×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 334 | Q8×C61 | — | 2 | 2 | no | — |
| 335 | D4×C61 | — | 2 | 4 | no | — |
| 336 | D4×C61 | — | 2 | 2 | no | — |
| 337 | C2×C4×C61 | — | 2 | 4 | no | — |
| 338 | C2×C4×C61 | — | 2 | 1 | no | — |
| 339 | C2×C4×C61 | — | 2 | 2 | no | — |
| 340 | C2×C4×C61 | — | 2 | 1 | no | — |
| 341 | C2×C4×C61 | — | 2 | 2 | no | — |
| 342 | C2×C4×C61 | — | 4 | 1 | no | — |
| 343 | C2×C4×C61 | — | 4 | 2 | no | — |
| 344 | C2×C4×C61 | #137 | 1 | 4 | yes | — |
| 345 | C2×C4×C61 | C22×D4 | 1 | 2 | yes | — |
| 346 | C2×C4×C61 | C22×D4 | 1 | 2 | yes | — |
| 347 | C2×C4×C61 | C22×D4 | 1 | 2 | yes | — |
| 348 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 349 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 350 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 351 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 352 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 353 | C2×C4×C61 | C25 | 1 | 1 | yes | characteristic |
| 354 | C2×Dic61 | — | 2 | 1 | no | — |
| 355 | C2×Dic61 | — | 2 | 1 | no | — |
| 356 | C2×Dic61 | — | 2 | 2 | no | — |
| 357 | C2×Dic61 | — | 2 | 2 | no | — |
| 358 | C2×Dic61 | — | 2 | 2 | no | — |
| 359 | C2×Dic61 | — | 2 | 1 | no | — |
| 360 | C2×Dic61 | — | 2 | 2 | no | — |
| 361 | C2×Dic61 | — | 2 | 1 | no | — |
| 362 | C2×Dic61 | — | 2 | 4 | no | — |
| 363 | C2×Dic61 | — | 4 | 2 | no | — |
| 364 | C2×Dic61 | — | 4 | 4 | no | — |
| 365 | C2×Dic61 | — | 4 | 4 | no | — |
| 366 | C2×Dic61 | — | 8 | 1 | no | — |
| 367 | C2×Dic61 | — | 8 | 2 | no | — |
| 368 | Dic122 | — | 2 | 1 | no | — |
| 369 | Dic122 | — | 2 | 2 | no | — |
| 370 | Dic122 | — | 2 | 1 | no | — |
| 371 | Dic122 | — | 2 | 2 | no | — |
| 372 | Dic122 | — | 2 | 2 | no | — |
| 373 | Dic122 | — | 2 | 2 | no | — |
| 374 | Dic122 | — | 2 | 1 | no | — |
| 375 | Dic122 | — | 4 | 2 | no | — |
| 376 | Dic122 | — | 4 | 4 | no | — |
| 377 | Dic122 | — | 4 | 2 | no | — |
| 378 | Dic122 | — | 4 | 4 | no | — |
| 379 | Dic122 | — | 4 | 4 | no | — |
| 380 | Dic122 | — | 8 | 2 | no | — |
| 381 | Dic122 | — | 8 | 1 | no | — |
| 382 | Dic122 | 2−1+4 | 1 | 2 | yes | — |
| 383 | C8×C61 | — | 2 | 2 | no | — |
| 384 | C8×C61 | — | 2 | 4 | no | — |
| 385 | C8×C61 | — | 2 | 2 | no | — |
| 386 | #62113 | — | 61 | 1 | no | maximal, Sylow |
| 387 | C22×C61 | — | 2 | 1 | no | — |
| 388 | C22×C61 | — | 2 | 1 | no | — |
| 389 | C22×C61 | — | 2 | 2 | no | — |
| 390 | C22×C61 | — | 2 | 2 | no | — |
| 391 | C22×C61 | — | 2 | 2 | no | — |
| 392 | C22×C61 | C2×#137 | 1 | 2 | yes | — |
| 393 | C22×C61 | C23×D4 | 1 | 1 | yes | characteristic |
| 394 | C4×C61 | — | 2 | 1 | no | — |
| 395 | C4×C61 | — | 2 | 2 | no | — |
| 396 | C4×C61 | — | 2 | 1 | no | — |
| 397 | C4×C61 | — | 2 | 1 | no | — |
| 398 | C4×C61 | — | 2 | 2 | no | — |
| 399 | C4×C61 | — | 2 | 2 | no | — |
| 400 | C4×C61 | C2×#137 | 1 | 2 | yes | — |
| 401 | C4×C61 | C2×#137 | 1 | 2 | yes | — |
| 402 | C4×C61 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 403 | C4×C61 | #585 | 1 | 1 | yes | characteristic |
| 404 | Dic61 | — | 2 | 2 | no | — |
| 405 | Dic61 | — | 4 | 2 | no | — |
| 406 | Dic61 | — | 4 | 1 | no | — |
| 407 | Dic61 | — | 4 | 2 | no | — |
| 408 | Dic61 | — | 4 | 1 | no | — |
| 409 | Dic61 | — | 4 | 1 | no | — |
| 410 | Dic61 | — | 4 | 2 | no | — |
| 411 | Dic61 | — | 4 | 2 | no | — |
| 412 | Dic61 | — | 4 | 4 | no | — |
| 413 | #3509 | — | 61 | 1 | no | — |
| 414 | Q8×#41 | — | 61 | 1 | no | — |
| 415 | #3387 | — | 61 | 2 | no | — |
| 416 | #3374 | — | 61 | 2 | no | — |
| 417 | #3356 | — | 61 | 2 | no | — |
| 418 | #3344 | — | 61 | 4 | no | — |
| 419 | #3328 | — | 61 | 2 | no | — |
| 420 | #3312 | — | 61 | 4 | no | — |
| 421 | #3255 | — | 61 | 2 | no | — |
| 422 | #3249 | — | 61 | 1 | no | — |
| 423 | #3237 | — | 61 | 2 | no | — |
| 424 | #3229 | — | 61 | 1 | no | — |
| 425 | #3113 | — | 61 | 2 | no | — |
| 426 | #3104 | — | 61 | 1 | no | — |
| 427 | #3078 | — | 61 | 2 | no | — |
| 428 | C2×#475 | — | 61 | 1 | no | — |
| 429 | #2989 | D61 | 1 | 1 | yes | characteristic |
| 430 | C2×C61 | — | 2 | 2 | no | — |
| 431 | C2×C61 | — | 4 | 2 | no | — |
| 432 | C2×C61 | #3489 | 1 | 1 | yes | characteristic |
| 433 | C2×C61 | C22×#137 | 1 | 1 | yes | characteristic |
| 434 | C2×C61 | #3586 | 1 | 1 | yes | characteristic |
| 435 | Q82 | — | 61 | 1 | no | — |
| 436 | #557 | — | 61 | 2 | no | — |
| 437 | #557 | — | 61 | 1 | no | — |
| 438 | #557 | — | 122 | 1 | no | — |
| 439 | #557 | — | 122 | 1 | no | — |
| 440 | #556 | — | 61 | 2 | no | — |
| 441 | #556 | — | 122 | 1 | no | — |
| 442 | #554 | — | 61 | 2 | no | — |
| 443 | #554 | — | 61 | 1 | no | — |
| 444 | #554 | — | 122 | 2 | no | — |
| 445 | #554 | — | 122 | 1 | no | — |
| 446 | #552 | — | 61 | 4 | no | — |
| 447 | #552 | — | 122 | 2 | no | — |
| 448 | D4×Q8 | — | 61 | 1 | no | — |
| 449 | D4×Q8 | — | 61 | 2 | no | — |
| 450 | #541 | — | 122 | 2 | no | — |
| 451 | #536 | — | 122 | 1 | no | — |
| 452 | #533 | — | 61 | 2 | no | — |
| 453 | #533 | — | 61 | 1 | no | — |
| 454 | #533 | — | 61 | 2 | no | — |
| 455 | #533 | — | 61 | 1 | no | — |
| 456 | #533 | — | 61 | 2 | no | — |
| 457 | #533 | — | 122 | 1 | no | — |
| 458 | #533 | — | 122 | 2 | no | — |
| 459 | C2×C4⋊Q8 | — | 61 | 1 | no | — |
| 460 | #519 | — | 122 | 1 | no | — |
| 461 | C4×#41 | — | 122 | 1 | no | — |
| 462 | C4×#41 | C2×D61 | 1 | 1 | yes | characteristic |
| 463 | C2×C4×Q8 | — | 61 | 1 | no | — |
| 464 | C2×C4×Q8 | — | 61 | 2 | no | — |
| 465 | #501 | — | 61 | 4 | no | — |
| 466 | #498 | — | 61 | 2 | no | — |
| 467 | #491 | — | 61 | 4 | no | — |
| 468 | #487 | — | 61 | 2 | no | — |
| 469 | #485 | — | 61 | 4 | no | — |
| 470 | #485 | — | 61 | 4 | no | — |
| 471 | #484 | — | 61 | 2 | no | — |
| 472 | #483 | — | 61 | 4 | no | — |
| 473 | #483 | — | 61 | 4 | no | — |
| 474 | #479 | — | 61 | 4 | no | — |
| 475 | #479 | — | 61 | 4 | no | — |
| 476 | #477 | — | 61 | 1 | no | — |
| 477 | #477 | — | 61 | 2 | no | — |
| 478 | #477 | — | 61 | 2 | no | — |
| 479 | #477 | — | 61 | 1 | no | — |
| 480 | #475 | — | 61 | 2 | no | — |
| 481 | #475 | — | 61 | 2 | no | — |
| 482 | #475 | — | 61 | 2 | no | — |
| 483 | #475 | — | 61 | 2 | no | — |
| 484 | #475 | — | 61 | 2 | no | — |
| 485 | #475 | — | 61 | 4 | no | — |
| 486 | #475 | — | 61 | 2 | no | — |
| 487 | #470 | — | 61 | 4 | no | — |
| 488 | #470 | — | 61 | 4 | no | — |
| 489 | #467 | — | 61 | 4 | no | — |
| 490 | #462 | — | 61 | 2 | no | — |
| 491 | #462 | — | 61 | 1 | no | — |
| 492 | #462 | — | 61 | 1 | no | — |
| 493 | #462 | — | 61 | 2 | no | — |
| 494 | #462 | — | 61 | 4 | no | — |
| 495 | #451 | — | 61 | 4 | no | — |
| 496 | #451 | — | 61 | 2 | no | — |
| 497 | #446 | C2×D61 | 1 | 2 | yes | — |
| 498 | #441 | — | 61 | 4 | no | — |
| 499 | #441 | — | 61 | 4 | no | — |
| 500 | C4×Q16 | — | 61 | 2 | no | — |
| 501 | C4×Q16 | — | 61 | 2 | no | — |
| 502 | #436 | C2×D61 | 1 | 2 | yes | — |
| 503 | #435 | C2×D61 | 1 | 4 | yes | — |
| 504 | #432 | C2×D61 | 1 | 2 | yes | — |
| 505 | #431 | C2×D61 | 1 | 1 | yes | characteristic |
| 506 | #428 | — | 61 | 4 | no | — |
| 507 | C2×#106 | — | 61 | 2 | no | — |
| 508 | #423 | C2×D61 | 1 | 2 | yes | — |
| 509 | C2×C4⋊C8 | C2×D61 | 1 | 1 | yes | characteristic |
| 510 | #419 | — | 61 | 4 | no | — |
| 511 | C2×#103 | — | 61 | 2 | no | — |
| 512 | C61 | #62113 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 513 | C2×#41 | D244 | 1 | 1 | yes | characteristic |
| 514 | C22×Q8 | — | 61 | 1 | no | — |
| 515 | C22×Q8 | — | 61 | 2 | no | — |
| 516 | C22×Q8 | — | 122 | 1 | no | — |
| 517 | C2×Q16 | — | 61 | 2 | no | — |
| 518 | C2×Q16 | — | 61 | 2 | no | — |
| 519 | C2×Q16 | — | 61 | 4 | no | — |
| 520 | C2×M16 | C22×D61 | 1 | 4 | yes | — |
| 521 | C22×C8 | C22×D61 | 1 | 2 | yes | — |
| 522 | C4⋊Q8 | — | 61 | 2 | no | — |
| 523 | C4⋊Q8 | — | 61 | 2 | no | — |
| 524 | C4⋊Q8 | — | 61 | 1 | no | — |
| 525 | C4⋊Q8 | — | 61 | 2 | no | — |
| 526 | C4⋊Q8 | — | 61 | 1 | no | — |
| 527 | C4⋊Q8 | — | 61 | 1 | no | — |
| 528 | C4⋊Q8 | — | 61 | 1 | no | — |
| 529 | C4⋊Q8 | — | 61 | 2 | no | — |
| 530 | C4⋊Q8 | — | 122 | 2 | no | — |
| 531 | C4⋊Q8 | — | 122 | 1 | no | — |
| 532 | C4⋊Q8 | — | 122 | 2 | no | — |
| 533 | C4⋊Q8 | — | 122 | 1 | no | — |
| 534 | C4⋊Q8 | — | 122 | 2 | no | — |
| 535 | C4⋊Q8 | — | 122 | 1 | no | — |
| 536 | C4⋊Q8 | — | 122 | 1 | no | — |
| 537 | #126 | — | 122 | 4 | no | — |
| 538 | #126 | — | 122 | 4 | no | — |
| 539 | #125 | — | 61 | 4 | no | — |
| 540 | #125 | — | 122 | 1 | no | — |
| 541 | #125 | — | 122 | 2 | no | — |
| 542 | #125 | — | 122 | 1 | no | — |
| 543 | #125 | — | 122 | 2 | no | — |
| 544 | #125 | — | 122 | 4 | no | — |
| 545 | #125 | — | 122 | 4 | no | — |
| 546 | #125 | — | 122 | 1 | no | — |
| 547 | #125 | — | 122 | 2 | no | — |
| 548 | #125 | — | 122 | 2 | no | — |
| 549 | #125 | — | 122 | 1 | no | — |
| 550 | #124 | — | 122 | 2 | no | — |
| 551 | #123 | — | 122 | 4 | no | — |
| 552 | C22⋊Q8 | — | 61 | 2 | no | — |
| 553 | C22⋊Q8 | — | 61 | 2 | no | — |
| 554 | C22⋊Q8 | — | 61 | 2 | no | — |
| 555 | C22⋊Q8 | — | 61 | 2 | no | — |
| 556 | C22⋊Q8 | — | 61 | 4 | no | — |
| 557 | C22⋊Q8 | — | 122 | 2 | no | — |
| 558 | C22⋊Q8 | — | 122 | 2 | no | — |
| 559 | C22⋊Q8 | — | 122 | 1 | no | — |
| 560 | C22⋊Q8 | — | 122 | 2 | no | — |
| 561 | C22⋊Q8 | — | 122 | 1 | no | — |
| 562 | C22⋊Q8 | — | 122 | 2 | no | — |
| 563 | C22⋊Q8 | — | 122 | 2 | no | — |
| 564 | C22⋊Q8 | — | 122 | 2 | no | — |
| 565 | C22⋊Q8 | — | 122 | 2 | no | — |
| 566 | C22⋊Q8 | — | 122 | 2 | no | — |
| 567 | C22⋊Q8 | — | 122 | 2 | no | — |
| 568 | C22⋊Q8 | — | 122 | 2 | no | — |
| 569 | C4×Q8 | — | 61 | 1 | no | — |
| 570 | C4×Q8 | — | 61 | 1 | no | — |
| 571 | C4×Q8 | — | 61 | 2 | no | — |
| 572 | C4×Q8 | — | 61 | 1 | no | — |
| 573 | C4×Q8 | — | 61 | 2 | no | — |
| 574 | C4×Q8 | — | 61 | 1 | no | — |
| 575 | C4×Q8 | — | 61 | 2 | no | — |
| 576 | C4×Q8 | — | 61 | 4 | no | — |
| 577 | C4×Q8 | — | 61 | 2 | no | — |
| 578 | C4×Q8 | — | 122 | 1 | no | — |
| 579 | C4×Q8 | — | 122 | 1 | no | — |
| 580 | C4×Q8 | — | 122 | 2 | no | — |
| 581 | C4×Q8 | — | 122 | 2 | no | — |
| 582 | C4×Q8 | — | 122 | 2 | no | — |
| 583 | C4×Q8 | — | 122 | 1 | no | — |
| 584 | C4×Q8 | — | 122 | 2 | no | — |
| 585 | C4×Q8 | — | 122 | 1 | no | — |
| 586 | C4×Q8 | — | 122 | 2 | no | — |
| 587 | C4×Q8 | — | 122 | 2 | no | — |
| 588 | C4×Q8 | — | 122 | 2 | no | — |
| 589 | C4×Q8 | — | 122 | 1 | no | — |
| 590 | C4×Q8 | — | 122 | 2 | no | — |
| 591 | C4×Q8 | — | 122 | 1 | no | — |
| 592 | C4×Q8 | D244 | 1 | 1 | yes | characteristic |
| 593 | C4×Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 594 | C4×D4 | — | 122 | 2 | no | — |
| 595 | C4×D4 | — | 122 | 1 | no | — |
| 596 | C4×D4 | — | 122 | 2 | no | — |
| 597 | C4×D4 | — | 122 | 1 | no | — |
| 598 | C4×D4 | D244 | 1 | 2 | yes | — |
| 599 | C4×D4 | D244 | 1 | 1 | yes | characteristic |
| 600 | C4×D4 | C22×D61 | 1 | 2 | yes | — |
| 601 | C4×D4 | C22×D61 | 1 | 1 | yes | characteristic |
| 602 | #117 | — | 61 | 4 | no | — |
| 603 | #117 | — | 122 | 2 | no | — |
| 604 | #117 | — | 122 | 1 | no | — |
| 605 | #117 | — | 122 | 1 | no | — |
| 606 | #117 | — | 122 | 2 | no | — |
| 607 | #117 | — | 122 | 4 | no | — |
| 608 | #117 | D244 | 1 | 1 | yes | characteristic |
| 609 | #117 | D244 | 1 | 2 | yes | — |
| 610 | C2×C4⋊C4 | — | 61 | 1 | no | — |
| 611 | C2×C4⋊C4 | — | 61 | 2 | no | — |
| 612 | C2×C4⋊C4 | — | 61 | 2 | no | — |
| 613 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 614 | C2×C4⋊C4 | — | 122 | 2 | no | — |
| 615 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 616 | C2×C42 | — | 122 | 2 | no | — |
| 617 | C2×C42 | — | 122 | 1 | no | — |
| 618 | C2×C42 | C22×D61 | 1 | 1 | yes | characteristic |
| 619 | C2×C42 | C22×D61 | 1 | 2 | yes | — |
| 620 | #107 | — | 61 | 2 | no | — |
| 621 | #107 | — | 61 | 4 | no | — |
| 622 | #107 | — | 61 | 2 | no | — |
| 623 | #106 | — | 61 | 4 | no | — |
| 624 | #106 | — | 61 | 4 | no | — |
| 625 | #106 | — | 61 | 4 | no | — |
| 626 | #106 | — | 61 | 4 | no | — |
| 627 | C4⋊C8 | C22×D61 | 1 | 2 | yes | — |
| 628 | C4⋊C8 | C22×D61 | 1 | 2 | yes | — |
| 629 | C4⋊C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 630 | C4⋊C8 | C22×D61 | 1 | 4 | yes | — |
| 631 | C4⋊C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 632 | #103 | — | 61 | 4 | no | — |
| 633 | #103 | — | 61 | 4 | no | — |
| 634 | #103 | — | 61 | 2 | no | — |
| 635 | #103 | — | 61 | 4 | no | — |
| 636 | #103 | — | 61 | 4 | no | — |
| 637 | #103 | — | 61 | 2 | no | — |
| 638 | #103 | — | 61 | 2 | no | — |
| 639 | #103 | — | 61 | 2 | no | — |
| 640 | #103 | — | 61 | 4 | no | — |
| 641 | #103 | — | 61 | 4 | no | — |
| 642 | C22⋊C8 | C22×D61 | 1 | 2 | yes | — |
| 643 | C22⋊C8 | C22×D61 | 1 | 4 | yes | — |
| 644 | #97 | C22×D61 | 1 | 4 | yes | — |
| 645 | C4×C8 | C22×D61 | 1 | 2 | yes | — |
| 646 | #41 | — | 2 | 4 | no | — |
| 647 | C2×Q8 | — | 61 | 1 | no | — |
| 648 | C2×Q8 | — | 61 | 1 | no | — |
| 649 | C2×Q8 | — | 61 | 2 | no | — |
| 650 | C2×Q8 | — | 61 | 2 | no | — |
| 651 | C2×Q8 | — | 122 | 2 | no | — |
| 652 | C2×Q8 | — | 122 | 4 | no | — |
| 653 | C2×Q8 | — | 122 | 2 | no | — |
| 654 | C2×Q8 | — | 122 | 1 | no | — |
| 655 | C2×Q8 | — | 122 | 1 | no | — |
| 656 | C2×Q8 | — | 122 | 2 | no | — |
| 657 | C2×Q8 | — | 122 | 2 | no | — |
| 658 | C2×Q8 | — | 122 | 1 | no | — |
| 659 | C2×Q8 | — | 122 | 2 | no | — |
| 660 | C2×Q8 | — | 244 | 1 | no | — |
| 661 | C2×Q8 | — | 244 | 2 | no | — |
| 662 | C2×Q8 | — | 244 | 4 | no | — |
| 663 | C2×Q8 | C2×D244 | 1 | 1 | yes | characteristic |
| 664 | C2×D4 | C2×D244 | 1 | 2 | yes | — |
| 665 | C2×D4 | C2×D244 | 1 | 1 | yes | characteristic |
| 666 | C22×C4 | — | 122 | 2 | no | — |
| 667 | C22×C4 | — | 122 | 1 | no | — |
| 668 | C22×C4 | — | 122 | 2 | no | — |
| 669 | C22×C4 | — | 122 | 1 | no | — |
| 670 | C22×C4 | — | 122 | 2 | no | — |
| 671 | C22×C4 | C2×D244 | 1 | 2 | yes | — |
| 672 | C22×C4 | C2×D244 | 1 | 1 | yes | characteristic |
| 673 | C22×C4 | C2×D244 | 1 | 2 | yes | — |
| 674 | C22×C4 | C2×D244 | 1 | 1 | yes | characteristic |
| 675 | C22×C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 676 | C22×C4 | C23×D61 | 1 | 2 | yes | — |
| 677 | Q16 | — | 122 | 4 | no | — |
| 678 | Q16 | — | 244 | 4 | no | — |
| 679 | Q16 | — | 244 | 2 | no | — |
| 680 | M16 | — | 4 | 4 | no | — |
| 681 | C2×C8 | — | 4 | 2 | no | — |
| 682 | C2×C8 | C23×D61 | 1 | 2 | yes | — |
| 683 | C2×C8 | C23×D61 | 1 | 2 | yes | — |
| 684 | C2×C8 | C23×D61 | 1 | 4 | yes | — |
| 685 | C4⋊C4 | — | 61 | 4 | no | — |
| 686 | C4⋊C4 | — | 61 | 2 | no | — |
| 687 | C4⋊C4 | — | 61 | 1 | no | — |
| 688 | C4⋊C4 | — | 61 | 1 | no | — |
| 689 | C4⋊C4 | — | 61 | 2 | no | — |
| 690 | C4⋊C4 | — | 122 | 2 | no | — |
| 691 | C4⋊C4 | — | 122 | 1 | no | — |
| 692 | C4⋊C4 | — | 122 | 2 | no | — |
| 693 | C4⋊C4 | — | 122 | 1 | no | — |
| 694 | C4⋊C4 | — | 122 | 2 | no | — |
| 695 | C4⋊C4 | — | 122 | 1 | no | — |
| 696 | C4⋊C4 | — | 122 | 1 | no | — |
| 697 | C4⋊C4 | — | 122 | 2 | no | — |
| 698 | C4⋊C4 | — | 122 | 2 | no | — |
| 699 | C4⋊C4 | — | 122 | 1 | no | — |
| 700 | C4⋊C4 | — | 122 | 2 | no | — |
| 701 | C4⋊C4 | — | 122 | 2 | no | — |
| 702 | C4⋊C4 | — | 122 | 4 | no | — |
| 703 | C4⋊C4 | — | 122 | 4 | no | — |
| 704 | C4⋊C4 | — | 122 | 4 | no | — |
| 705 | C4⋊C4 | — | 122 | 2 | no | — |
| 706 | C4⋊C4 | — | 122 | 2 | no | — |
| 707 | C4⋊C4 | — | 122 | 2 | no | — |
| 708 | C4⋊C4 | — | 122 | 2 | no | — |
| 709 | C4⋊C4 | — | 122 | 2 | no | — |
| 710 | C4⋊C4 | — | 122 | 4 | no | — |
| 711 | C4⋊C4 | — | 122 | 1 | no | — |
| 712 | C4⋊C4 | — | 122 | 2 | no | — |
| 713 | C4⋊C4 | — | 122 | 1 | no | — |
| 714 | C4⋊C4 | — | 122 | 2 | no | — |
| 715 | C4⋊C4 | — | 122 | 1 | no | — |
| 716 | C4⋊C4 | — | 122 | 1 | no | — |
| 717 | C4⋊C4 | — | 122 | 1 | no | — |
| 718 | C4⋊C4 | — | 122 | 2 | no | — |
| 719 | C4⋊C4 | — | 122 | 1 | no | — |
| 720 | C4⋊C4 | C2×D244 | 1 | 1 | yes | characteristic |
| 721 | C4⋊C4 | C2×D244 | 1 | 2 | yes | — |
| 722 | C4⋊C4 | C2×D244 | 1 | 1 | yes | characteristic |
| 723 | C4⋊C4 | C2×D244 | 1 | 2 | yes | — |
| 724 | C22⋊C4 | — | 122 | 4 | no | — |
| 725 | C22⋊C4 | — | 122 | 2 | no | — |
| 726 | C22⋊C4 | — | 122 | 2 | no | — |
| 727 | C22⋊C4 | — | 122 | 2 | no | — |
| 728 | C22⋊C4 | — | 122 | 2 | no | — |
| 729 | C22⋊C4 | — | 122 | 4 | no | — |
| 730 | C22⋊C4 | C2×D244 | 1 | 2 | yes | — |
| 731 | C22⋊C4 | C2×D244 | 1 | 2 | yes | — |
| 732 | C22⋊C4 | C2×D244 | 1 | 2 | yes | — |
| 733 | C42 | — | 122 | 1 | no | — |
| 734 | C42 | — | 122 | 2 | no | — |
| 735 | C42 | — | 122 | 1 | no | — |
| 736 | C42 | — | 122 | 2 | no | — |
| 737 | C42 | — | 122 | 1 | no | — |
| 738 | C42 | — | 122 | 2 | no | — |
| 739 | C42 | — | 122 | 1 | no | — |
| 740 | C42 | — | 122 | 4 | no | — |
| 741 | C42 | — | 122 | 4 | no | — |
| 742 | C42 | — | 122 | 2 | no | — |
| 743 | C42 | C2×D244 | 1 | 2 | yes | — |
| 744 | C42 | C2×D244 | 1 | 1 | yes | characteristic |
| 745 | C42 | C2×D244 | 1 | 2 | yes | — |
| 746 | C42 | C2×D244 | 1 | 1 | yes | characteristic |
| 747 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 748 | C42 | C23×D61 | 1 | 2 | yes | — |
| 749 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 750 | C23 | C22×D244 | 1 | 2 | yes | — |
| 751 | C23 | C22×D244 | 1 | 1 | yes | characteristic |
| 752 | Q8 | — | 2 | 2 | no | — |
| 753 | Q8 | — | 61 | 2 | no | — |
| 754 | Q8 | — | 122 | 1 | no | — |
| 755 | Q8 | — | 122 | 2 | no | — |
| 756 | Q8 | — | 122 | 1 | no | — |
| 757 | Q8 | — | 122 | 2 | no | — |
| 758 | Q8 | — | 122 | 2 | no | — |
| 759 | Q8 | — | 122 | 2 | no | — |
| 760 | Q8 | — | 122 | 1 | no | — |
| 761 | Q8 | — | 488 | 2 | no | — |
| 762 | Q8 | — | 488 | 1 | no | — |
| 763 | Q8 | — | 244 | 2 | no | — |
| 764 | Q8 | — | 244 | 4 | no | — |
| 765 | Q8 | — | 244 | 2 | no | — |
| 766 | Q8 | — | 244 | 4 | no | — |
| 767 | Q8 | — | 244 | 4 | no | — |
| 768 | D4 | — | 2 | 4 | no | — |
| 769 | D4 | — | 2 | 2 | no | — |
| 770 | C2×C4 | — | 2 | 4 | no | — |
| 771 | C2×C4 | — | 2 | 1 | no | — |
| 772 | C2×C4 | — | 2 | 2 | no | — |
| 773 | C2×C4 | — | 2 | 1 | no | — |
| 774 | C2×C4 | — | 2 | 2 | no | — |
| 775 | C2×C4 | — | 4 | 1 | no | — |
| 776 | C2×C4 | — | 4 | 2 | no | — |
| 777 | C2×C4 | — | 122 | 1 | no | — |
| 778 | C2×C4 | — | 122 | 1 | no | — |
| 779 | C2×C4 | — | 122 | 2 | no | — |
| 780 | C2×C4 | — | 122 | 2 | no | — |
| 781 | C2×C4 | — | 122 | 4 | no | — |
| 782 | C2×C4 | — | 122 | 2 | no | — |
| 783 | C2×C4 | — | 122 | 1 | no | — |
| 784 | C2×C4 | — | 122 | 2 | no | — |
| 785 | C2×C4 | — | 122 | 1 | no | — |
| 786 | C2×C4 | — | 488 | 1 | no | — |
| 787 | C2×C4 | — | 488 | 2 | no | — |
| 788 | C2×C4 | — | 244 | 2 | no | — |
| 789 | C2×C4 | — | 244 | 4 | no | — |
| 790 | C2×C4 | — | 244 | 4 | no | — |
| 791 | C2×C4 | #14519810 | 1 | 4 | yes | — |
| 792 | C2×C4 | C22×D244 | 1 | 2 | yes | — |
| 793 | C2×C4 | C22×D244 | 1 | 2 | yes | — |
| 794 | C2×C4 | C22×D244 | 1 | 2 | yes | — |
| 795 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 796 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 797 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 798 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 799 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 800 | C2×C4 | C24×D61 | 1 | 1 | yes | characteristic |
| 801 | C8 | — | 2 | 2 | no | — |
| 802 | C8 | — | 2 | 4 | no | — |
| 803 | C8 | — | 2 | 2 | no | — |
| 804 | C22 | — | 2 | 1 | no | — |
| 805 | C22 | — | 2 | 1 | no | — |
| 806 | C22 | — | 2 | 2 | no | — |
| 807 | C22 | — | 2 | 2 | no | — |
| 808 | C22 | — | 2 | 2 | no | — |
| 809 | C22 | C2×#14519810 | 1 | 2 | yes | — |
| 810 | C22 | C23×D244 | 1 | 1 | yes | characteristic |
| 811 | C4 | — | 2 | 1 | no | — |
| 812 | C4 | — | 2 | 2 | no | — |
| 813 | C4 | — | 2 | 2 | no | — |
| 814 | C4 | — | 2 | 1 | no | — |
| 815 | C4 | — | 2 | 2 | no | — |
| 816 | C4 | — | 2 | 1 | no | — |
| 817 | C4 | — | 122 | 2 | no | — |
| 818 | C4 | — | 244 | 1 | no | — |
| 819 | C4 | — | 244 | 2 | no | — |
| 820 | C4 | — | 244 | 2 | no | — |
| 821 | C4 | — | 244 | 4 | no | — |
| 822 | C4 | — | 244 | 1 | no | — |
| 823 | C4 | — | 244 | 1 | no | — |
| 824 | C4 | — | 244 | 2 | no | — |
| 825 | C4 | — | 244 | 2 | no | — |
| 826 | C4 | C2×#14519810 | 1 | 2 | yes | — |
| 827 | C4 | C2×#14519810 | 1 | 2 | yes | — |
| 828 | C4 | 2−1+4×D61 | 1 | 1 | yes | characteristic |
| 829 | C4 | #16840597 | 1 | 1 | yes | characteristic |
| 830 | C2 | — | 2 | 2 | no | — |
| 831 | C2 | — | 4 | 2 | no | — |
| 832 | C2 | #21459500 | 1 | 1 | yes | characteristic |
| 833 | C2 | C22×#14519810 | 1 | 1 | yes | characteristic |
| 834 | C2 | #21460607 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta