Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1730 conjugacy classes of subgroups.
The subgroup lattice has 728 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #85819 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #85803 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#441 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83877 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #82441 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #82431 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #79818 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #79817 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #79816 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #79815 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #79130 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #78785 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #78774 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #78497 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #78480 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #61335 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C22×C3×Q16 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5816 | C22 | 1 | 2 | yes | — |
| 21 | #5812 | C22 | 1 | 2 | yes | — |
| 22 | C2×#942 | C22 | 1 | 2 | yes | — |
| 23 | #5585 | C22 | 1 | 2 | yes | — |
| 24 | #5584 | — | 2 | 1 | no | — |
| 25 | #5581 | — | 2 | 2 | no | — |
| 26 | #5579 | — | 2 | 1 | no | — |
| 27 | #5570 | — | 2 | 1 | no | — |
| 28 | #5570 | C22 | 1 | 2 | yes | — |
| 29 | #5569 | — | 2 | 2 | no | — |
| 30 | #5569 | C22 | 1 | 4 | yes | — |
| 31 | #5568 | C22 | 1 | 4 | yes | — |
| 32 | #5567 | C22 | 1 | 2 | yes | — |
| 33 | Q8×Dic6 | — | 2 | 1 | no | — |
| 34 | Q8×Dic6 | C22 | 1 | 2 | yes | — |
| 35 | #5515 | — | 2 | 2 | no | — |
| 36 | #5504 | C22 | 1 | 2 | yes | — |
| 37 | #5500 | — | 2 | 2 | no | — |
| 38 | #5500 | C22 | 1 | 2 | yes | — |
| 39 | #5479 | — | 2 | 2 | no | — |
| 40 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 41 | #5470 | — | 2 | 2 | no | — |
| 42 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 43 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 44 | C3×#441 | C22 | 1 | 4 | yes | — |
| 45 | C3×#441 | C22 | 1 | 4 | yes | — |
| 46 | C2×C3×#106 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×C3×#103 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×C3×#103 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×C3×#97 | C22 | 1 | 1 | yes | characteristic |
| 50 | #5225 | C22 | 1 | 2 | yes | — |
| 51 | #5185 | C22 | 1 | 4 | yes | — |
| 52 | #5185 | C22 | 1 | 4 | yes | — |
| 53 | #5182 | C22 | 1 | 4 | yes | — |
| 54 | #5182 | C22 | 1 | 4 | yes | — |
| 55 | #5113 | C22 | 1 | 2 | yes | — |
| 56 | #5113 | C22 | 1 | 2 | yes | — |
| 57 | #5102 | C22 | 1 | 2 | yes | — |
| 58 | #5101 | C22 | 1 | 2 | yes | — |
| 59 | #5031 | C22 | 1 | 2 | yes | — |
| 60 | #5028 | C22 | 1 | 4 | yes | — |
| 61 | #5027 | C22 | 1 | 2 | yes | — |
| 62 | #5022 | C22 | 1 | 4 | yes | — |
| 63 | #5021 | C22 | 1 | 2 | yes | — |
| 64 | #5020 | C22 | 1 | 2 | yes | — |
| 65 | #4966 | C22 | 1 | 2 | yes | — |
| 66 | #4964 | C22 | 1 | 2 | yes | — |
| 67 | #4924 | C22 | 1 | 1 | yes | characteristic |
| 68 | #4871 | C22 | 1 | 4 | yes | — |
| 69 | #4870 | C22 | 1 | 4 | yes | — |
| 70 | #4857 | C22 | 1 | 4 | yes | — |
| 71 | #4854 | C22 | 1 | 4 | yes | — |
| 72 | #4817 | C22 | 1 | 4 | yes | — |
| 73 | #4800 | C22 | 1 | 4 | yes | — |
| 74 | #4797 | C22 | 1 | 4 | yes | — |
| 75 | #4794 | C22 | 1 | 4 | yes | — |
| 76 | #4792 | C22 | 1 | 4 | yes | — |
| 77 | #4790 | C22 | 1 | 4 | yes | — |
| 78 | #4789 | C22 | 1 | 4 | yes | — |
| 79 | #4788 | C22 | 1 | 4 | yes | — |
| 80 | #4714 | C22 | 1 | 2 | yes | — |
| 81 | #4714 | C22 | 1 | 2 | yes | — |
| 82 | #4713 | C22 | 1 | 2 | yes | — |
| 83 | #4703 | C22 | 1 | 2 | yes | — |
| 84 | #4701 | C22 | 1 | 4 | yes | — |
| 85 | #4701 | C22 | 1 | 4 | yes | — |
| 86 | #3507 | — | 3 | 1 | no | — |
| 87 | #3502 | — | 3 | 1 | no | — |
| 88 | #3377 | — | 3 | 4 | no | — |
| 89 | #3374 | — | 3 | 4 | no | — |
| 90 | #3371 | — | 3 | 4 | no | — |
| 91 | #3369 | — | 3 | 4 | no | — |
| 92 | #3137 | — | 3 | 2 | no | — |
| 93 | #3135 | — | 3 | 1 | no | — |
| 94 | #3084 | — | 3 | 2 | no | — |
| 95 | #3078 | — | 3 | 1 | no | — |
| 96 | #3044 | — | 3 | 2 | no | — |
| 97 | #3037 | — | 3 | 1 | no | — |
| 98 | #2961 | — | 3 | 1 | no | — |
| 99 | #2947 | — | 3 | 2 | no | — |
| 100 | C2×#441 | D3 | 1 | 1 | yes | characteristic, complemented |
| 101 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 102 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×#235 | C23 | 1 | 2 | yes | — |
| 104 | C2×C3×Q16 | — | 2 | 4 | no | — |
| 105 | C2×C3×Q16 | C23 | 1 | 4 | yes | — |
| 106 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 107 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 108 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 109 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 110 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 111 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 112 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 113 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 114 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 115 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 116 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 117 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 118 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C3×C42 | — | 2 | 1 | no | — |
| 121 | C2×C3×C42 | — | 2 | 1 | no | — |
| 122 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 123 | #947 | C23 | 1 | 4 | yes | — |
| 124 | #946 | — | 2 | 2 | no | — |
| 125 | #946 | — | 2 | 2 | no | — |
| 126 | Q8×Dic3 | — | 2 | 2 | no | — |
| 127 | Q8×Dic3 | — | 2 | 2 | no | — |
| 128 | Q8×Dic3 | C23 | 1 | 4 | yes | — |
| 129 | Q8×Dic3 | C23 | 1 | 4 | yes | — |
| 130 | #944 | C23 | 1 | 4 | yes | — |
| 131 | C2×#216 | C23 | 1 | 4 | yes | — |
| 132 | #942 | — | 2 | 8 | no | — |
| 133 | C2×#215 | C23 | 1 | 4 | yes | — |
| 134 | #930 | — | 2 | 1 | no | — |
| 135 | #930 | — | 2 | 1 | no | — |
| 136 | #929 | — | 2 | 4 | no | — |
| 137 | C4×#67 | — | 2 | 4 | no | — |
| 138 | #926 | — | 2 | 4 | no | — |
| 139 | #926 | C23 | 1 | 2 | yes | — |
| 140 | #926 | C23 | 1 | 2 | yes | — |
| 141 | #924 | — | 2 | 1 | no | — |
| 142 | #924 | — | 2 | 1 | no | — |
| 143 | #924 | — | 2 | 4 | no | — |
| 144 | #924 | D4 | 1 | 2 | yes | — |
| 145 | #924 | D4 | 1 | 2 | yes | — |
| 146 | C2×#208 | C23 | 1 | 2 | yes | — |
| 147 | #898 | — | 2 | 4 | no | — |
| 148 | #896 | — | 2 | 4 | no | — |
| 149 | #894 | — | 2 | 4 | no | — |
| 150 | #893 | C23 | 1 | 4 | yes | — |
| 151 | #892 | — | 2 | 2 | no | — |
| 152 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 153 | #890 | — | 2 | 4 | no | — |
| 154 | #890 | — | 2 | 2 | no | — |
| 155 | #890 | — | 2 | 4 | no | — |
| 156 | #890 | C23 | 1 | 4 | yes | — |
| 157 | #889 | — | 2 | 4 | no | — |
| 158 | #888 | — | 2 | 4 | no | — |
| 159 | #888 | — | 2 | 2 | no | — |
| 160 | #888 | — | 2 | 4 | no | — |
| 161 | #888 | C23 | 1 | 4 | yes | — |
| 162 | #887 | C23 | 1 | 4 | yes | — |
| 163 | #876 | — | 2 | 4 | no | — |
| 164 | #875 | — | 2 | 2 | no | — |
| 165 | #875 | C23 | 1 | 2 | yes | — |
| 166 | #874 | C23 | 1 | 1 | yes | characteristic |
| 167 | C4×D12 | — | 2 | 1 | no | — |
| 168 | C4×D12 | — | 2 | 1 | no | — |
| 169 | C4×D12 | — | 2 | 2 | no | — |
| 170 | #872 | — | 2 | 4 | no | — |
| 171 | #870 | — | 2 | 2 | no | — |
| 172 | #870 | — | 2 | 4 | no | — |
| 173 | #870 | D4 | 1 | 2 | yes | — |
| 174 | #870 | C23 | 1 | 2 | yes | — |
| 175 | #869 | — | 2 | 2 | no | — |
| 176 | #869 | — | 2 | 2 | no | — |
| 177 | #869 | D4 | 1 | 1 | yes | characteristic |
| 178 | #869 | D4 | 1 | 1 | yes | characteristic |
| 179 | #869 | C23 | 1 | 1 | yes | characteristic |
| 180 | #869 | C23 | 1 | 1 | yes | characteristic |
| 181 | #869 | C23 | 1 | 1 | yes | characteristic |
| 182 | C4×Dic6 | — | 2 | 2 | no | — |
| 183 | C4×Dic6 | — | 2 | 2 | no | — |
| 184 | C4×Dic6 | — | 2 | 1 | no | — |
| 185 | C4×Dic6 | — | 2 | 1 | no | — |
| 186 | C4×Dic6 | — | 2 | 2 | no | — |
| 187 | C4×Dic6 | — | 2 | 4 | no | — |
| 188 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 189 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 190 | C3×#106 | C23 | 1 | 4 | yes | — |
| 191 | C3×#103 | C23 | 1 | 4 | yes | — |
| 192 | C3×#103 | C23 | 1 | 4 | yes | — |
| 193 | C3×#97 | C23 | 1 | 2 | yes | — |
| 194 | C3×#97 | C23 | 1 | 2 | yes | — |
| 195 | #835 | C23 | 1 | 4 | yes | — |
| 196 | #835 | C23 | 1 | 4 | yes | — |
| 197 | #821 | C23 | 1 | 2 | yes | — |
| 198 | #821 | C23 | 1 | 2 | yes | — |
| 199 | #821 | C23 | 1 | 2 | yes | — |
| 200 | #821 | C23 | 1 | 2 | yes | — |
| 201 | #816 | C23 | 1 | 2 | yes | — |
| 202 | #816 | C23 | 1 | 2 | yes | — |
| 203 | #816 | C23 | 1 | 2 | yes | — |
| 204 | #816 | C23 | 1 | 2 | yes | — |
| 205 | #815 | C23 | 1 | 4 | yes | — |
| 206 | Dic3⋊C8 | C23 | 1 | 4 | yes | — |
| 207 | Dic3⋊C8 | C23 | 1 | 4 | yes | — |
| 208 | C8×Dic3 | C23 | 1 | 4 | yes | — |
| 209 | #810 | C23 | 1 | 4 | yes | — |
| 210 | #809 | C23 | 1 | 4 | yes | — |
| 211 | #808 | C23 | 1 | 4 | yes | — |
| 212 | #807 | C23 | 1 | 4 | yes | — |
| 213 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 214 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 215 | C2×#137 | — | 3 | 2 | no | — |
| 216 | C22×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 217 | #559 | — | 3 | 2 | no | — |
| 218 | Q82 | — | 3 | 2 | no | — |
| 219 | Q82 | — | 6 | 1 | no | — |
| 220 | #557 | — | 3 | 4 | no | — |
| 221 | #557 | — | 3 | 2 | no | — |
| 222 | #557 | — | 3 | 2 | no | — |
| 223 | #557 | — | 6 | 2 | no | — |
| 224 | #557 | — | 6 | 1 | no | — |
| 225 | #556 | — | 3 | 4 | no | — |
| 226 | #556 | — | 6 | 1 | no | — |
| 227 | #554 | — | 6 | 1 | no | — |
| 228 | #552 | — | 6 | 2 | no | — |
| 229 | #544 | — | 3 | 2 | no | — |
| 230 | #544 | — | 6 | 2 | no | — |
| 231 | #539 | — | 6 | 2 | no | — |
| 232 | #536 | — | 3 | 2 | no | — |
| 233 | #533 | — | 3 | 1 | no | — |
| 234 | #533 | — | 3 | 1 | no | — |
| 235 | #533 | — | 6 | 2 | no | — |
| 236 | #532 | — | 3 | 1 | no | — |
| 237 | #529 | — | 6 | 2 | no | — |
| 238 | #520 | — | 3 | 2 | no | — |
| 239 | #519 | — | 3 | 2 | no | — |
| 240 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 241 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 242 | #491 | — | 3 | 4 | no | — |
| 243 | #491 | — | 3 | 2 | no | — |
| 244 | #490 | — | 3 | 2 | no | — |
| 245 | #489 | — | 3 | 4 | no | — |
| 246 | #489 | — | 3 | 2 | no | — |
| 247 | #489 | — | 3 | 2 | no | — |
| 248 | #488 | — | 3 | 4 | no | — |
| 249 | #487 | — | 3 | 4 | no | — |
| 250 | #479 | — | 3 | 4 | no | — |
| 251 | #479 | — | 3 | 4 | no | — |
| 252 | #478 | — | 3 | 4 | no | — |
| 253 | #477 | — | 3 | 2 | no | — |
| 254 | #476 | — | 3 | 4 | no | — |
| 255 | #475 | — | 3 | 2 | no | — |
| 256 | #475 | — | 3 | 4 | no | — |
| 257 | #464 | — | 3 | 4 | no | — |
| 258 | #464 | — | 3 | 4 | no | — |
| 259 | #464 | — | 3 | 4 | no | — |
| 260 | #462 | — | 3 | 4 | no | — |
| 261 | #462 | — | 3 | 4 | no | — |
| 262 | #462 | — | 3 | 2 | no | — |
| 263 | #460 | — | 3 | 2 | no | — |
| 264 | #446 | — | 3 | 4 | no | — |
| 265 | #446 | — | 3 | 4 | no | — |
| 266 | #441 | — | 3 | 4 | no | — |
| 267 | #441 | C2×D3 | 1 | 4 | yes | — |
| 268 | #441 | C2×D3 | 1 | 4 | yes | — |
| 269 | #440 | — | 3 | 4 | no | — |
| 270 | C4×Q16 | — | 3 | 4 | no | — |
| 271 | C4×SD16 | — | 3 | 4 | no | — |
| 272 | #428 | — | 3 | 2 | no | — |
| 273 | C2×#106 | C2×D3 | 1 | 1 | yes | characteristic |
| 274 | #424 | — | 3 | 2 | no | — |
| 275 | #423 | — | 3 | 1 | no | — |
| 276 | #419 | — | 3 | 2 | no | — |
| 277 | #417 | — | 3 | 2 | no | — |
| 278 | #416 | — | 3 | 2 | no | — |
| 279 | #416 | — | 3 | 2 | no | — |
| 280 | C2×#103 | C2×D3 | 1 | 1 | yes | characteristic |
| 281 | C2×#103 | C2×D3 | 1 | 1 | yes | characteristic |
| 282 | #405 | — | 3 | 2 | no | — |
| 283 | C2×#97 | C2×D3 | 1 | 1 | yes | characteristic |
| 284 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 285 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 286 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 287 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 288 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 289 | C2×C3×Q8 | #41 | 1 | 4 | yes | — |
| 290 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 291 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 292 | C22×C3×C4 | — | 2 | 1 | no | — |
| 293 | C22×C3×C4 | — | 2 | 1 | no | — |
| 294 | C22×C3×C4 | — | 2 | 1 | no | — |
| 295 | C22×C3×C4 | — | 2 | 1 | no | — |
| 296 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 299 | C2×#67 | — | 2 | 2 | no | — |
| 300 | #235 | — | 2 | 4 | no | — |
| 301 | #235 | — | 2 | 4 | no | — |
| 302 | C2×D12 | — | 2 | 1 | no | — |
| 303 | C2×D12 | — | 2 | 1 | no | — |
| 304 | C2×D12 | C24 | 1 | 2 | yes | — |
| 305 | C2×C4×D3 | — | 2 | 2 | no | — |
| 306 | C2×C4×D3 | — | 2 | 4 | no | — |
| 307 | C2×Dic6 | — | 2 | 1 | no | — |
| 308 | C2×Dic6 | — | 2 | 1 | no | — |
| 309 | C2×Dic6 | — | 2 | 4 | no | — |
| 310 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 311 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 312 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 313 | C3×Q16 | — | 2 | 8 | no | — |
| 314 | C2×C3×C8 | — | 2 | 2 | no | — |
| 315 | C2×C3×C8 | — | 2 | 2 | no | — |
| 316 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 317 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 318 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 319 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 320 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 321 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 322 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 323 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 324 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 325 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 326 | C3×C42 | — | 2 | 2 | no | — |
| 327 | C3×C42 | — | 2 | 2 | no | — |
| 328 | C3×C42 | — | 2 | 2 | no | — |
| 329 | C3×C42 | — | 2 | 2 | no | — |
| 330 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 331 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 332 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 333 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 334 | #217 | — | 2 | 2 | no | — |
| 335 | #217 | C2×D4 | 1 | 4 | yes | — |
| 336 | #216 | — | 2 | 8 | no | — |
| 337 | #215 | — | 2 | 8 | no | — |
| 338 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 339 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 340 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 341 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 342 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 343 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 344 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 345 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 346 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 347 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 348 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 349 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 350 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 351 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 352 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 353 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 354 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 355 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 356 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 357 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 358 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 359 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 360 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 361 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 362 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 363 | Dic3⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 364 | Dic3⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 365 | C4×Dic3 | — | 2 | 2 | no | — |
| 366 | C4×Dic3 | — | 2 | 4 | no | — |
| 367 | C4×Dic3 | — | 2 | 4 | no | — |
| 368 | C4×Dic3 | — | 2 | 4 | no | — |
| 369 | C4×Dic3 | C24 | 1 | 4 | yes | — |
| 370 | #208 | — | 2 | 4 | no | — |
| 371 | C2×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 372 | C2×#41 | — | 3 | 2 | no | — |
| 373 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 374 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 375 | #137 | — | 6 | 8 | no | — |
| 376 | C2×Q16 | — | 2 | 4 | no | — |
| 377 | C2×Q16 | — | 3 | 4 | no | — |
| 378 | C2×Q16 | C22×D3 | 1 | 4 | yes | — |
| 379 | C2×SD16 | — | 3 | 4 | no | — |
| 380 | C2×M16 | — | 3 | 2 | no | — |
| 381 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 382 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 383 | C4⋊Q8 | — | 3 | 4 | no | — |
| 384 | C4⋊Q8 | — | 3 | 4 | no | — |
| 385 | C4⋊Q8 | — | 3 | 1 | no | — |
| 386 | C4⋊Q8 | — | 3 | 1 | no | — |
| 387 | C4⋊Q8 | — | 3 | 1 | no | — |
| 388 | C4⋊Q8 | — | 3 | 1 | no | — |
| 389 | C4⋊Q8 | — | 3 | 1 | no | — |
| 390 | C4⋊Q8 | — | 6 | 2 | no | — |
| 391 | C4⋊Q8 | — | 6 | 2 | no | — |
| 392 | C4⋊Q8 | — | 6 | 2 | no | — |
| 393 | C4⋊Q8 | — | 6 | 4 | no | — |
| 394 | C4⋊Q8 | — | 6 | 4 | no | — |
| 395 | #127 | — | 3 | 1 | no | — |
| 396 | #126 | — | 6 | 4 | no | — |
| 397 | #126 | — | 6 | 4 | no | — |
| 398 | #125 | — | 3 | 4 | no | — |
| 399 | #125 | — | 3 | 2 | no | — |
| 400 | #125 | — | 3 | 2 | no | — |
| 401 | #125 | — | 6 | 2 | no | — |
| 402 | #125 | — | 6 | 4 | no | — |
| 403 | #125 | — | 6 | 4 | no | — |
| 404 | #125 | — | 6 | 2 | no | — |
| 405 | #125 | — | 6 | 4 | no | — |
| 406 | #125 | — | 6 | 4 | no | — |
| 407 | #124 | — | 3 | 4 | no | — |
| 408 | #124 | — | 3 | 2 | no | — |
| 409 | #124 | — | 6 | 2 | no | — |
| 410 | #123 | — | 6 | 4 | no | — |
| 411 | #123 | — | 6 | 4 | no | — |
| 412 | C22⋊Q8 | — | 3 | 2 | no | — |
| 413 | C22⋊Q8 | — | 3 | 2 | no | — |
| 414 | C22⋊Q8 | — | 6 | 4 | no | — |
| 415 | C22⋊Q8 | — | 6 | 4 | no | — |
| 416 | C22⋊Q8 | — | 6 | 2 | no | — |
| 417 | C22⋊Q8 | — | 6 | 2 | no | — |
| 418 | C22⋊Q8 | — | 6 | 1 | no | — |
| 419 | C22⋊Q8 | — | 6 | 1 | no | — |
| 420 | #121 | — | 6 | 1 | no | — |
| 421 | #121 | — | 6 | 1 | no | — |
| 422 | C4×Q8 | — | 2 | 1 | no | — |
| 423 | C4×Q8 | — | 2 | 1 | no | — |
| 424 | C4×Q8 | — | 2 | 1 | no | — |
| 425 | C4×Q8 | — | 2 | 1 | no | — |
| 426 | C4×Q8 | — | 3 | 2 | no | — |
| 427 | C4×Q8 | — | 3 | 2 | no | — |
| 428 | C4×Q8 | — | 3 | 4 | no | — |
| 429 | C4×Q8 | — | 3 | 4 | no | — |
| 430 | C4×Q8 | — | 3 | 4 | no | — |
| 431 | C4×Q8 | — | 6 | 4 | no | — |
| 432 | C4×Q8 | — | 6 | 2 | no | — |
| 433 | C4×Q8 | — | 6 | 2 | no | — |
| 434 | C4×Q8 | — | 6 | 2 | no | — |
| 435 | C4×Q8 | — | 6 | 2 | no | — |
| 436 | C4×Q8 | — | 6 | 2 | no | — |
| 437 | C4×Q8 | — | 6 | 1 | no | — |
| 438 | C4×Q8 | — | 6 | 1 | no | — |
| 439 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 440 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 441 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 442 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 443 | C4×D4 | — | 3 | 4 | no | — |
| 444 | C4×D4 | — | 6 | 2 | no | — |
| 445 | C4×D4 | — | 6 | 4 | no | — |
| 446 | C4×D4 | — | 6 | 1 | no | — |
| 447 | C4×D4 | — | 6 | 1 | no | — |
| 448 | #117 | — | 3 | 2 | no | — |
| 449 | #117 | — | 3 | 2 | no | — |
| 450 | #117 | — | 6 | 4 | no | — |
| 451 | #117 | — | 6 | 4 | no | — |
| 452 | #117 | — | 6 | 2 | no | — |
| 453 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 454 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 455 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 456 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 457 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 458 | C2×C42 | — | 2 | 1 | no | — |
| 459 | C2×C42 | — | 2 | 1 | no | — |
| 460 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 461 | #107 | — | 3 | 4 | no | — |
| 462 | #106 | — | 3 | 4 | no | — |
| 463 | #106 | C22×D3 | 1 | 4 | yes | — |
| 464 | C4⋊C8 | — | 3 | 4 | no | — |
| 465 | C4⋊C8 | — | 3 | 4 | no | — |
| 466 | C4⋊C8 | — | 3 | 2 | no | — |
| 467 | C4⋊C8 | — | 3 | 2 | no | — |
| 468 | #103 | — | 3 | 4 | no | — |
| 469 | #103 | — | 3 | 4 | no | — |
| 470 | #103 | — | 3 | 2 | no | — |
| 471 | #103 | — | 3 | 2 | no | — |
| 472 | #103 | — | 3 | 2 | no | — |
| 473 | #103 | — | 3 | 2 | no | — |
| 474 | #103 | — | 3 | 4 | no | — |
| 475 | #103 | C22×D3 | 1 | 4 | yes | — |
| 476 | #103 | C22×D3 | 1 | 4 | yes | — |
| 477 | #102 | — | 3 | 2 | no | — |
| 478 | #102 | — | 3 | 2 | no | — |
| 479 | #102 | — | 3 | 2 | no | — |
| 480 | #102 | — | 3 | 2 | no | — |
| 481 | #102 | — | 3 | 4 | no | — |
| 482 | #97 | — | 3 | 4 | no | — |
| 483 | #97 | C22×D3 | 1 | 2 | yes | — |
| 484 | #97 | C22×D3 | 1 | 2 | yes | — |
| 485 | C4×C8 | — | 3 | 4 | no | — |
| 486 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 487 | C22×D3 | — | 2 | 2 | no | — |
| 488 | C3×Q8 | — | 2 | 4 | no | — |
| 489 | C3×Q8 | — | 2 | 2 | no | — |
| 490 | C3×Q8 | — | 2 | 2 | no | — |
| 491 | C3×Q8 | — | 2 | 2 | no | — |
| 492 | C3×Q8 | — | 4 | 2 | no | — |
| 493 | C3×Q8 | C2×#41 | 1 | 4 | yes | — |
| 494 | C2×C3×C4 | — | 2 | 4 | no | — |
| 495 | C2×C3×C4 | — | 2 | 2 | no | — |
| 496 | C2×C3×C4 | — | 2 | 2 | no | — |
| 497 | C2×C3×C4 | — | 2 | 2 | no | — |
| 498 | C2×C3×C4 | — | 2 | 2 | no | — |
| 499 | C2×C3×C4 | — | 4 | 1 | no | — |
| 500 | C2×C3×C4 | — | 4 | 1 | no | — |
| 501 | C2×C3×C4 | — | 4 | 2 | no | — |
| 502 | C2×C3×C4 | — | 8 | 1 | no | — |
| 503 | C2×C3×C4 | — | 8 | 1 | no | — |
| 504 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 505 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 506 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 507 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 508 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 509 | C2×C3×C4 | C2×#41 | 1 | 2 | yes | — |
| 510 | C2×C3×C4 | 2−1+4 | 1 | 2 | yes | — |
| 511 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 512 | #67 | — | 4 | 4 | no | — |
| 513 | C2×Dic3 | — | 2 | 2 | no | — |
| 514 | C2×Dic3 | — | 2 | 2 | no | — |
| 515 | C2×Dic3 | — | 2 | 2 | no | — |
| 516 | C2×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 517 | C2×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 518 | D12 | — | 2 | 2 | no | — |
| 519 | D12 | — | 2 | 2 | no | — |
| 520 | D12 | — | 4 | 2 | no | — |
| 521 | D12 | — | 8 | 1 | no | — |
| 522 | C4×D3 | — | 4 | 4 | no | — |
| 523 | C4×D3 | — | 8 | 4 | no | — |
| 524 | Dic6 | — | 2 | 2 | no | — |
| 525 | Dic6 | — | 2 | 2 | no | — |
| 526 | Dic6 | — | 4 | 2 | no | — |
| 527 | Dic6 | — | 4 | 2 | no | — |
| 528 | Dic6 | — | 4 | 2 | no | — |
| 529 | Dic6 | — | 8 | 4 | no | — |
| 530 | Dic6 | — | 8 | 1 | no | — |
| 531 | C3×C8 | — | 2 | 2 | no | — |
| 532 | C3×C8 | — | 2 | 2 | no | — |
| 533 | C3⋊C8 | — | 2 | 4 | no | — |
| 534 | #41 | — | 6 | 4 | no | — |
| 535 | #41 | — | 6 | 4 | no | — |
| 536 | C2×Q8 | — | 2 | 1 | no | — |
| 537 | C2×Q8 | — | 2 | 1 | no | — |
| 538 | C2×Q8 | — | 2 | 2 | no | — |
| 539 | C2×Q8 | — | 2 | 2 | no | — |
| 540 | C2×Q8 | — | 2 | 2 | no | — |
| 541 | C2×Q8 | — | 3 | 2 | no | — |
| 542 | C2×Q8 | — | 3 | 2 | no | — |
| 543 | C2×Q8 | — | 3 | 2 | no | — |
| 544 | C2×Q8 | — | 6 | 4 | no | — |
| 545 | C2×Q8 | — | 6 | 1 | no | — |
| 546 | C2×Q8 | — | 6 | 1 | no | — |
| 547 | C2×Q8 | #235 | 1 | 4 | yes | — |
| 548 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 549 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 550 | C2×D4 | — | 3 | 2 | no | — |
| 551 | C2×D4 | — | 6 | 2 | no | — |
| 552 | C2×D4 | — | 6 | 1 | no | — |
| 553 | C2×D4 | — | 6 | 1 | no | — |
| 554 | C22×C4 | — | 2 | 1 | no | — |
| 555 | C22×C4 | — | 2 | 1 | no | — |
| 556 | C22×C4 | — | 2 | 1 | no | — |
| 557 | C22×C4 | — | 2 | 1 | no | — |
| 558 | C22×C4 | — | 6 | 4 | no | — |
| 559 | C22×C4 | — | 6 | 2 | no | — |
| 560 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 561 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 562 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 563 | Q16 | — | 2 | 8 | no | — |
| 564 | Q16 | — | 6 | 8 | no | — |
| 565 | SD16 | — | 6 | 8 | no | — |
| 566 | M16 | — | 6 | 4 | no | — |
| 567 | C2×C8 | — | 2 | 2 | no | — |
| 568 | C2×C8 | — | 2 | 2 | no | — |
| 569 | C2×C8 | — | 3 | 4 | no | — |
| 570 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 571 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 572 | C4⋊C4 | — | 2 | 2 | no | — |
| 573 | C4⋊C4 | — | 2 | 2 | no | — |
| 574 | C4⋊C4 | — | 2 | 2 | no | — |
| 575 | C4⋊C4 | — | 2 | 2 | no | — |
| 576 | C4⋊C4 | — | 2 | 1 | no | — |
| 577 | C4⋊C4 | — | 2 | 1 | no | — |
| 578 | C4⋊C4 | — | 3 | 2 | no | — |
| 579 | C4⋊C4 | — | 3 | 2 | no | — |
| 580 | C4⋊C4 | — | 3 | 4 | no | — |
| 581 | C4⋊C4 | — | 3 | 2 | no | — |
| 582 | C4⋊C4 | — | 3 | 4 | no | — |
| 583 | C4⋊C4 | — | 3 | 2 | no | — |
| 584 | C4⋊C4 | — | 3 | 2 | no | — |
| 585 | C4⋊C4 | — | 3 | 2 | no | — |
| 586 | C4⋊C4 | — | 6 | 4 | no | — |
| 587 | C4⋊C4 | — | 6 | 4 | no | — |
| 588 | C4⋊C4 | — | 6 | 4 | no | — |
| 589 | C4⋊C4 | — | 6 | 4 | no | — |
| 590 | C4⋊C4 | — | 6 | 4 | no | — |
| 591 | C4⋊C4 | — | 6 | 4 | no | — |
| 592 | C4⋊C4 | — | 6 | 4 | no | — |
| 593 | C4⋊C4 | — | 6 | 4 | no | — |
| 594 | C4⋊C4 | — | 6 | 1 | no | — |
| 595 | C4⋊C4 | — | 6 | 1 | no | — |
| 596 | C4⋊C4 | — | 6 | 2 | no | — |
| 597 | C4⋊C4 | — | 6 | 1 | no | — |
| 598 | C4⋊C4 | — | 6 | 2 | no | — |
| 599 | C4⋊C4 | — | 6 | 1 | no | — |
| 600 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 601 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 602 | C22⋊C4 | — | 3 | 4 | no | — |
| 603 | C22⋊C4 | — | 6 | 4 | no | — |
| 604 | C22⋊C4 | — | 6 | 4 | no | — |
| 605 | C22⋊C4 | — | 6 | 4 | no | — |
| 606 | C22⋊C4 | — | 6 | 2 | no | — |
| 607 | C22⋊C4 | — | 6 | 2 | no | — |
| 608 | C22⋊C4 | — | 6 | 2 | no | — |
| 609 | C42 | — | 2 | 2 | no | — |
| 610 | C42 | — | 2 | 2 | no | — |
| 611 | C42 | — | 2 | 2 | no | — |
| 612 | C42 | — | 2 | 2 | no | — |
| 613 | C42 | — | 3 | 4 | no | — |
| 614 | C42 | — | 6 | 4 | no | — |
| 615 | C42 | — | 6 | 4 | no | — |
| 616 | C42 | — | 6 | 4 | no | — |
| 617 | C42 | — | 6 | 2 | no | — |
| 618 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 619 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 620 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 621 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 622 | C22×C3 | — | 2 | 1 | no | — |
| 623 | C22×C3 | — | 2 | 1 | no | — |
| 624 | C22×C3 | #548 | 1 | 2 | yes | — |
| 625 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 626 | C2×D3 | — | 4 | 2 | no | — |
| 627 | C2×D3 | — | 4 | 2 | no | — |
| 628 | C2×D3 | — | 4 | 2 | no | — |
| 629 | C3×C4 | — | 2 | 1 | no | — |
| 630 | C3×C4 | — | 2 | 1 | no | — |
| 631 | C3×C4 | — | 2 | 1 | no | — |
| 632 | C3×C4 | — | 2 | 1 | no | — |
| 633 | C3×C4 | — | 2 | 4 | no | — |
| 634 | C3×C4 | — | 4 | 2 | no | — |
| 635 | C3×C4 | — | 4 | 2 | no | — |
| 636 | C3×C4 | — | 4 | 2 | no | — |
| 637 | C3×C4 | #548 | 1 | 2 | yes | — |
| 638 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 639 | C3×C4 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 640 | Dic3 | — | 2 | 4 | no | — |
| 641 | Dic3 | — | 2 | 4 | no | — |
| 642 | Dic3 | — | 4 | 2 | no | — |
| 643 | Dic3 | — | 4 | 2 | no | — |
| 644 | Dic3 | — | 4 | 2 | no | — |
| 645 | C23 | — | 6 | 2 | no | — |
| 646 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 647 | Q8 | — | 2 | 2 | no | — |
| 648 | Q8 | — | 2 | 4 | no | — |
| 649 | Q8 | — | 2 | 2 | no | — |
| 650 | Q8 | — | 2 | 2 | no | — |
| 651 | Q8 | — | 4 | 2 | no | — |
| 652 | Q8 | — | 6 | 2 | no | — |
| 653 | Q8 | — | 6 | 2 | no | — |
| 654 | Q8 | — | 12 | 2 | no | — |
| 655 | Q8 | — | 12 | 2 | no | — |
| 656 | Q8 | — | 12 | 2 | no | — |
| 657 | Q8 | — | 24 | 1 | no | — |
| 658 | Q8 | — | 24 | 4 | no | — |
| 659 | Q8 | C2×#235 | 1 | 4 | yes | — |
| 660 | D4 | — | 6 | 2 | no | — |
| 661 | D4 | — | 6 | 2 | no | — |
| 662 | D4 | — | 12 | 2 | no | — |
| 663 | D4 | — | 12 | 4 | no | — |
| 664 | D4 | — | 24 | 1 | no | — |
| 665 | C2×C4 | — | 2 | 2 | no | — |
| 666 | C2×C4 | — | 2 | 4 | no | — |
| 667 | C2×C4 | — | 2 | 2 | no | — |
| 668 | C2×C4 | — | 2 | 2 | no | — |
| 669 | C2×C4 | — | 2 | 2 | no | — |
| 670 | C2×C4 | — | 3 | 4 | no | — |
| 671 | C2×C4 | — | 3 | 4 | no | — |
| 672 | C2×C4 | — | 4 | 1 | no | — |
| 673 | C2×C4 | — | 4 | 1 | no | — |
| 674 | C2×C4 | — | 4 | 2 | no | — |
| 675 | C2×C4 | — | 6 | 2 | no | — |
| 676 | C2×C4 | — | 6 | 2 | no | — |
| 677 | C2×C4 | — | 6 | 2 | no | — |
| 678 | C2×C4 | — | 8 | 1 | no | — |
| 679 | C2×C4 | — | 8 | 1 | no | — |
| 680 | C2×C4 | — | 12 | 4 | no | — |
| 681 | C2×C4 | — | 24 | 4 | no | — |
| 682 | C2×C4 | C2×#235 | 1 | 2 | yes | — |
| 683 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 684 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 685 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 686 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 687 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 688 | C2×C4 | #1010 | 1 | 2 | yes | — |
| 689 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 690 | C8 | — | 2 | 2 | no | — |
| 691 | C8 | — | 2 | 2 | no | — |
| 692 | C8 | — | 6 | 4 | no | — |
| 693 | C2×C3 | — | 2 | 2 | no | — |
| 694 | C2×C3 | C2×#548 | 1 | 1 | yes | characteristic |
| 695 | C2×C3 | #3586 | 1 | 1 | yes | characteristic |
| 696 | C2×C3 | #3586 | 1 | 1 | yes | characteristic |
| 697 | D3 | — | 8 | 2 | no | — |
| 698 | C22 | — | 2 | 1 | no | — |
| 699 | C22 | — | 2 | 1 | no | — |
| 700 | C22 | — | 12 | 2 | no | — |
| 701 | C22 | — | 12 | 2 | no | — |
| 702 | C22 | — | 12 | 2 | no | — |
| 703 | C22 | #5552 | 1 | 2 | yes | — |
| 704 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 705 | C4 | — | 2 | 1 | no | — |
| 706 | C4 | — | 2 | 1 | no | — |
| 707 | C4 | — | 2 | 1 | no | — |
| 708 | C4 | — | 2 | 1 | no | — |
| 709 | C4 | — | 2 | 4 | no | — |
| 710 | C4 | — | 4 | 2 | no | — |
| 711 | C4 | — | 4 | 2 | no | — |
| 712 | C4 | — | 4 | 2 | no | — |
| 713 | C4 | — | 6 | 4 | no | — |
| 714 | C4 | — | 6 | 4 | no | — |
| 715 | C4 | — | 12 | 2 | no | — |
| 716 | C4 | — | 12 | 2 | no | — |
| 717 | C4 | — | 12 | 2 | no | — |
| 718 | C4 | #5552 | 1 | 2 | yes | — |
| 719 | C4 | C22×#235 | 1 | 1 | yes | characteristic |
| 720 | C4 | C2×#1010 | 1 | 1 | yes | characteristic |
| 721 | C3 | #61335 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 722 | C2 | — | 2 | 2 | no | — |
| 723 | C2 | — | 24 | 2 | no | — |
| 724 | C2 | C2×#5552 | 1 | 1 | yes | characteristic |
| 725 | C2 | #87197 | 1 | 1 | yes | characteristic |
| 726 | C2 | #87197 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #85803 | C2 | semidirect |
| 3. C2×C3×#441 | C2 | semidirect |
| 4. #83877 | C2 | semidirect |
| 6. #82431 | C2 | semidirect |
| 7. #79818 | C2 | semidirect |
| 8. #79817 | C2 | semidirect |
| 9. #79816 | C2 | semidirect |
| 10. #79815 | C2 | semidirect |
| 11. #79130 | C2 | semidirect |
| 12. #78785 | C2 | semidirect |
| 13. #78774 | C2 | semidirect |
| 15. #78480 | C2 | semidirect |
| 100. C2×#441 | D3 | semidirect |
| 721. C3 | #61335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #85819 | 2 |
| #85803 | 2 |
| C2×C3×#441 | 2 |
| #83877 | 2 |
| #82441 | 2 |
| #82431 | 2 |
| #79818 | 2 |
| #79817 | 2 |
| #79816 | 2 |
| #79815 | 2 |
| #79130 | 2 |
| #78785 | 2 |
| #78774 | 2 |
| #78497 | 2 |
| #78480 | 2 |
| #61335 | 3 |