Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2046 conjugacy classes of subgroups.
The subgroup lattice has 908 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4×#1007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#3037 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83984 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #83965 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #83296 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#5021 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #80574 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #80572 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #80459 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #80456 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #80362 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80361 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79060 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #79040 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #78874 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #78868 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #60600 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C2×#1007 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C3×#137 | C22 | 1 | 2 | yes | — |
| 21 | C3×#532 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 23 | #5833 | C22 | 1 | 2 | yes | — |
| 24 | #5827 | C22 | 1 | 2 | yes | — |
| 25 | C2×#950 | C22 | 1 | 2 | yes | — |
| 26 | #5812 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5728 | C22 | 1 | 2 | yes | — |
| 28 | #5716 | C22 | 1 | 2 | yes | — |
| 29 | #5682 | C22 | 1 | 4 | yes | — |
| 30 | #5618 | — | 2 | 2 | no | — |
| 31 | #5598 | — | 2 | 2 | no | — |
| 32 | #5574 | — | 2 | 1 | no | — |
| 33 | #5574 | C22 | 1 | 2 | yes | — |
| 34 | C4×#239 | — | 2 | 1 | no | — |
| 35 | C4×#239 | C22 | 1 | 2 | yes | — |
| 36 | #5572 | — | 2 | 1 | no | — |
| 37 | #5572 | C22 | 1 | 2 | yes | — |
| 38 | C4×D3×Q8 | — | 2 | 1 | no | — |
| 39 | C4×D3×Q8 | C22 | 1 | 2 | yes | — |
| 40 | #5563 | — | 2 | 1 | no | — |
| 41 | #5555 | — | 2 | 1 | no | — |
| 42 | #5543 | — | 2 | 1 | no | — |
| 43 | #5542 | — | 2 | 1 | no | — |
| 44 | #5504 | — | 2 | 2 | no | — |
| 45 | #5504 | C22 | 1 | 1 | yes | characteristic |
| 46 | #5504 | C22 | 1 | 1 | yes | characteristic |
| 47 | C4×#235 | — | 2 | 2 | no | — |
| 48 | C4×#235 | C22 | 1 | 1 | yes | characteristic |
| 49 | C4×#235 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#869 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#464 | C22 | 1 | 4 | yes | — |
| 52 | C3×#462 | C22 | 1 | 2 | yes | — |
| 53 | C3×#460 | C22 | 1 | 2 | yes | — |
| 54 | C3×#423 | C22 | 1 | 1 | yes | characteristic |
| 55 | C3×#417 | C22 | 1 | 2 | yes | — |
| 56 | #5233 | C22 | 1 | 2 | yes | — |
| 57 | C2×#835 | C22 | 1 | 2 | yes | — |
| 58 | #5187 | C22 | 1 | 4 | yes | — |
| 59 | #5186 | C22 | 1 | 4 | yes | — |
| 60 | #5184 | C22 | 1 | 4 | yes | — |
| 61 | Dic3×Q16 | C22 | 1 | 4 | yes | — |
| 62 | #5172 | C22 | 1 | 4 | yes | — |
| 63 | #5170 | C22 | 1 | 4 | yes | — |
| 64 | #5164 | C22 | 1 | 4 | yes | — |
| 65 | Dic3×SD16 | C22 | 1 | 4 | yes | — |
| 66 | #5133 | C22 | 1 | 2 | yes | — |
| 67 | #5129 | C22 | 1 | 2 | yes | — |
| 68 | #5122 | C22 | 1 | 2 | yes | — |
| 69 | #5121 | C22 | 1 | 2 | yes | — |
| 70 | #5090 | C22 | 1 | 1 | yes | characteristic |
| 71 | #5083 | C22 | 1 | 1 | yes | characteristic |
| 72 | #5075 | C22 | 1 | 1 | yes | characteristic |
| 73 | #5072 | C22 | 1 | 1 | yes | characteristic |
| 74 | #5057 | C22 | 1 | 2 | yes | — |
| 75 | #5054 | C22 | 1 | 2 | yes | — |
| 76 | #5021 | C22 | 1 | 2 | yes | — |
| 77 | #5021 | C22 | 1 | 2 | yes | — |
| 78 | #5021 | C22 | 1 | 4 | yes | — |
| 79 | C2×#807 | C22 | 1 | 2 | yes | — |
| 80 | C2×C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 81 | #4851 | C22 | 1 | 2 | yes | — |
| 82 | #4850 | C22 | 1 | 2 | yes | — |
| 83 | #4846 | C22 | 1 | 2 | yes | — |
| 84 | #4842 | C22 | 1 | 2 | yes | — |
| 85 | #4840 | C22 | 1 | 4 | yes | — |
| 86 | #4835 | C22 | 1 | 2 | yes | — |
| 87 | #4833 | C22 | 1 | 2 | yes | — |
| 88 | #4817 | C22 | 1 | 4 | yes | — |
| 89 | #4815 | C22 | 1 | 4 | yes | — |
| 90 | #4811 | C22 | 1 | 4 | yes | — |
| 91 | #4790 | C22 | 1 | 4 | yes | — |
| 92 | #4779 | C22 | 1 | 4 | yes | — |
| 93 | #4774 | C22 | 1 | 4 | yes | — |
| 94 | #4757 | C22 | 1 | 4 | yes | — |
| 95 | #4756 | C22 | 1 | 4 | yes | — |
| 96 | #3511 | — | 3 | 1 | no | — |
| 97 | C4×2−1+4 | — | 3 | 1 | no | — |
| 98 | #3124 | — | 3 | 4 | no | — |
| 99 | #3121 | — | 3 | 4 | no | — |
| 100 | #3116 | — | 3 | 2 | no | — |
| 101 | #3112 | — | 3 | 2 | no | — |
| 102 | #3106 | — | 3 | 2 | no | — |
| 103 | #3104 | — | 3 | 2 | no | — |
| 104 | #3098 | — | 3 | 2 | no | — |
| 105 | #3079 | — | 3 | 1 | no | — |
| 106 | C2×#477 | — | 3 | 1 | no | — |
| 107 | #3037 | D3 | 1 | 1 | yes | characteristic, complemented |
| 108 | #3035 | — | 3 | 1 | no | — |
| 109 | #3013 | — | 3 | 2 | no | — |
| 110 | #2951 | — | 3 | 2 | no | — |
| 111 | #2947 | — | 3 | 2 | no | — |
| 112 | #2925 | — | 3 | 1 | no | — |
| 113 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 114 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 115 | #1007 | — | 2 | 4 | no | — |
| 116 | #1007 | — | 2 | 4 | no | — |
| 117 | C2×#239 | — | 2 | 1 | no | — |
| 118 | C2×#239 | C23 | 1 | 2 | yes | — |
| 119 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 120 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 121 | C2×#237 | — | 2 | 2 | no | — |
| 122 | C2×#235 | — | 2 | 2 | no | — |
| 123 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 125 | C22×Dic6 | — | 2 | 1 | no | — |
| 126 | C3×#137 | — | 2 | 8 | no | — |
| 127 | C2×C3×Q16 | C23 | 1 | 4 | yes | — |
| 128 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 129 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 130 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 131 | C3×#127 | C23 | 1 | 1 | yes | characteristic |
| 132 | C3×#124 | C23 | 1 | 2 | yes | — |
| 133 | C3×#121 | — | 2 | 1 | no | — |
| 134 | C3×#121 | — | 2 | 1 | no | — |
| 135 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 136 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 137 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 138 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 139 | C3×C4×D4 | — | 2 | 1 | no | — |
| 140 | C3×C4×D4 | — | 2 | 1 | no | — |
| 141 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 142 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 143 | C2×C3×C42 | — | 2 | 1 | no | — |
| 144 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 145 | #950 | — | 2 | 8 | no | — |
| 146 | #946 | C23 | 1 | 4 | yes | — |
| 147 | Q8×Dic3 | — | 2 | 1 | no | — |
| 148 | Q8×Dic3 | — | 2 | 1 | no | — |
| 149 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 150 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 151 | Q8×Dic3 | C23 | 1 | 4 | yes | — |
| 152 | C2×#216 | C23 | 1 | 2 | yes | — |
| 153 | C2×#215 | C23 | 1 | 2 | yes | — |
| 154 | #939 | — | 2 | 4 | no | — |
| 155 | #938 | — | 2 | 2 | no | — |
| 156 | #938 | C23 | 1 | 4 | yes | — |
| 157 | #936 | — | 2 | 2 | no | — |
| 158 | D4×Dic3 | — | 2 | 4 | no | — |
| 159 | D4×Dic3 | — | 2 | 2 | no | — |
| 160 | D4×Dic3 | C23 | 1 | 4 | yes | — |
| 161 | C2×#214 | C23 | 1 | 2 | yes | — |
| 162 | C2×#213 | C23 | 1 | 2 | yes | — |
| 163 | #930 | — | 2 | 2 | no | — |
| 164 | C4×#67 | — | 2 | 1 | no | — |
| 165 | C4×#67 | — | 2 | 1 | no | — |
| 166 | C4×#67 | — | 2 | 2 | no | — |
| 167 | C4×#67 | — | 2 | 2 | no | — |
| 168 | C4×#67 | D4 | 1 | 2 | yes | — |
| 169 | C4×#67 | D4 | 1 | 2 | yes | — |
| 170 | #926 | — | 2 | 2 | no | — |
| 171 | #926 | — | 2 | 2 | no | — |
| 172 | #926 | C23 | 1 | 1 | yes | characteristic |
| 173 | #926 | C23 | 1 | 1 | yes | characteristic |
| 174 | C2×C4⋊Dic3 | — | 2 | 1 | no | — |
| 175 | C2×C4⋊Dic3 | — | 2 | 2 | no | — |
| 176 | C2×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 177 | #924 | — | 2 | 2 | no | — |
| 178 | C22×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 179 | #897 | — | 2 | 2 | no | — |
| 180 | #893 | — | 2 | 1 | no | — |
| 181 | #893 | — | 2 | 2 | no | — |
| 182 | #893 | — | 2 | 2 | no | — |
| 183 | #893 | C23 | 1 | 2 | yes | — |
| 184 | #892 | — | 2 | 2 | no | — |
| 185 | #892 | — | 2 | 2 | no | — |
| 186 | #892 | — | 2 | 1 | no | — |
| 187 | #892 | — | 2 | 2 | no | — |
| 188 | #892 | C23 | 1 | 2 | yes | — |
| 189 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 190 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 191 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 192 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 193 | #890 | — | 2 | 2 | no | — |
| 194 | #887 | — | 2 | 1 | no | — |
| 195 | #887 | — | 2 | 2 | no | — |
| 196 | #887 | — | 2 | 2 | no | — |
| 197 | #887 | — | 2 | 2 | no | — |
| 198 | #887 | C23 | 1 | 2 | yes | — |
| 199 | #886 | — | 2 | 4 | no | — |
| 200 | #885 | — | 2 | 4 | no | — |
| 201 | #879 | — | 2 | 4 | no | — |
| 202 | #878 | — | 2 | 4 | no | — |
| 203 | C4×D12 | — | 2 | 2 | no | — |
| 204 | C4×D12 | — | 2 | 2 | no | — |
| 205 | C4×D12 | D4 | 1 | 1 | yes | characteristic |
| 206 | C4×D12 | D4 | 1 | 1 | yes | characteristic |
| 207 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 208 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 209 | #872 | — | 2 | 1 | no | — |
| 210 | #872 | — | 2 | 2 | no | — |
| 211 | #872 | — | 2 | 2 | no | — |
| 212 | #872 | C23 | 1 | 2 | yes | — |
| 213 | C42×D3 | — | 2 | 2 | no | — |
| 214 | C42×D3 | — | 2 | 1 | no | — |
| 215 | C42×D3 | — | 2 | 2 | no | — |
| 216 | C42×D3 | C23 | 1 | 2 | yes | — |
| 217 | #869 | — | 2 | 1 | no | — |
| 218 | #869 | — | 2 | 1 | no | — |
| 219 | #869 | C23 | 1 | 2 | yes | — |
| 220 | #869 | C23 | 1 | 2 | yes | — |
| 221 | C4×Dic6 | — | 2 | 2 | no | — |
| 222 | C4×Dic6 | — | 2 | 2 | no | — |
| 223 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 224 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 225 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 226 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 227 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 228 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 229 | C3×#103 | C23 | 1 | 4 | yes | — |
| 230 | C3×#102 | C23 | 1 | 4 | yes | — |
| 231 | #835 | C23 | 1 | 4 | yes | — |
| 232 | #835 | C23 | 1 | 4 | yes | — |
| 233 | #835 | C23 | 1 | 2 | yes | — |
| 234 | #835 | C23 | 1 | 2 | yes | — |
| 235 | #832 | C23 | 1 | 2 | yes | — |
| 236 | #832 | C23 | 1 | 2 | yes | — |
| 237 | #821 | C23 | 1 | 4 | yes | — |
| 238 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | — |
| 239 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | — |
| 240 | #818 | C23 | 1 | 4 | yes | — |
| 241 | #817 | C23 | 1 | 4 | yes | — |
| 242 | #816 | C23 | 1 | 4 | yes | — |
| 243 | #815 | C23 | 1 | 4 | yes | — |
| 244 | C8×Dic3 | C23 | 1 | 4 | yes | — |
| 245 | #807 | C23 | 1 | 4 | yes | — |
| 246 | #807 | C23 | 1 | 4 | yes | — |
| 247 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 248 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 249 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 250 | C2×2−1+4 | — | 3 | 1 | no | — |
| 251 | C2×#137 | C2×D3 | 1 | 2 | yes | — |
| 252 | C2×#135 | — | 3 | 2 | no | — |
| 253 | #556 | — | 6 | 1 | no | — |
| 254 | #555 | — | 6 | 1 | no | — |
| 255 | #554 | — | 6 | 1 | no | — |
| 256 | #553 | — | 6 | 2 | no | — |
| 257 | #548 | — | 6 | 2 | no | — |
| 258 | #547 | — | 6 | 1 | no | — |
| 259 | #542 | — | 3 | 4 | no | — |
| 260 | #537 | — | 3 | 2 | no | — |
| 261 | #533 | — | 3 | 2 | no | — |
| 262 | #532 | — | 3 | 2 | no | — |
| 263 | #532 | C2×D3 | 1 | 1 | yes | characteristic |
| 264 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 265 | #520 | — | 3 | 1 | no | — |
| 266 | #520 | — | 3 | 2 | no | — |
| 267 | #520 | — | 3 | 2 | no | — |
| 268 | #520 | — | 3 | 1 | no | — |
| 269 | #520 | — | 6 | 2 | no | — |
| 270 | #520 | — | 6 | 1 | no | — |
| 271 | #519 | — | 3 | 1 | no | — |
| 272 | #519 | — | 3 | 2 | no | — |
| 273 | #519 | — | 6 | 1 | no | — |
| 274 | C4×#41 | — | 3 | 1 | no | — |
| 275 | C4×#41 | — | 3 | 2 | no | — |
| 276 | C4×#41 | — | 3 | 1 | no | — |
| 277 | C4×#41 | — | 6 | 2 | no | — |
| 278 | C4×#41 | — | 6 | 1 | no | — |
| 279 | C2×C4×Q8 | — | 3 | 2 | no | — |
| 280 | C2×C4×Q8 | — | 6 | 1 | no | — |
| 281 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 282 | #485 | — | 3 | 4 | no | — |
| 283 | #484 | — | 3 | 4 | no | — |
| 284 | #482 | — | 3 | 4 | no | — |
| 285 | #480 | — | 3 | 4 | no | — |
| 286 | #477 | — | 3 | 2 | no | — |
| 287 | #477 | — | 3 | 2 | no | — |
| 288 | #477 | — | 3 | 4 | no | — |
| 289 | #477 | — | 3 | 2 | no | — |
| 290 | #476 | — | 3 | 2 | no | — |
| 291 | #475 | — | 3 | 2 | no | — |
| 292 | #474 | — | 3 | 2 | no | — |
| 293 | #464 | — | 3 | 2 | no | — |
| 294 | #464 | C2×D3 | 1 | 4 | yes | — |
| 295 | #463 | — | 3 | 2 | no | — |
| 296 | #462 | — | 3 | 1 | no | — |
| 297 | #462 | C2×D3 | 1 | 2 | yes | — |
| 298 | #461 | — | 3 | 1 | no | — |
| 299 | #460 | — | 3 | 1 | no | — |
| 300 | #460 | C2×D3 | 1 | 2 | yes | — |
| 301 | #459 | — | 3 | 1 | no | — |
| 302 | #452 | — | 3 | 4 | no | — |
| 303 | #451 | — | 3 | 4 | no | — |
| 304 | #449 | — | 3 | 4 | no | — |
| 305 | #448 | — | 3 | 4 | no | — |
| 306 | #441 | — | 3 | 4 | no | — |
| 307 | #440 | — | 3 | 4 | no | — |
| 308 | #440 | — | 3 | 4 | no | — |
| 309 | #440 | — | 3 | 4 | no | — |
| 310 | C4×Q16 | — | 3 | 4 | no | — |
| 311 | C4×Q16 | — | 3 | 4 | no | — |
| 312 | C4×SD16 | — | 3 | 4 | no | — |
| 313 | C4×D8 | — | 3 | 4 | no | — |
| 314 | #433 | — | 3 | 4 | no | — |
| 315 | #432 | — | 3 | 2 | no | — |
| 316 | #431 | — | 3 | 2 | no | — |
| 317 | #428 | — | 3 | 2 | no | — |
| 318 | C2×#107 | — | 3 | 2 | no | — |
| 319 | #423 | C2×D3 | 1 | 1 | yes | characteristic |
| 320 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 321 | #417 | — | 3 | 2 | no | — |
| 322 | #417 | C2×D3 | 1 | 2 | yes | — |
| 323 | #416 | — | 3 | 2 | no | — |
| 324 | C2×#103 | — | 3 | 2 | no | — |
| 325 | #408 | — | 3 | 2 | no | — |
| 326 | #405 | — | 3 | 2 | no | — |
| 327 | C3×#41 | — | 2 | 4 | no | — |
| 328 | C3×#41 | — | 2 | 4 | no | — |
| 329 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 330 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 331 | C2×C3×Q8 | #41 | 1 | 4 | yes | complemented |
| 332 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 333 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 334 | C2×C3×D4 | — | 2 | 2 | no | — |
| 335 | C2×C3×D4 | — | 2 | 1 | no | — |
| 336 | C2×C3×D4 | — | 2 | 1 | no | — |
| 337 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 338 | C22×C3×C4 | — | 2 | 1 | no | — |
| 339 | C22×C3×C4 | — | 2 | 1 | no | — |
| 340 | C22×C3×C4 | — | 2 | 2 | no | — |
| 341 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 342 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 343 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 344 | C2×#67 | — | 2 | 1 | no | — |
| 345 | C2×#67 | — | 2 | 4 | no | — |
| 346 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 347 | C22×Dic3 | — | 2 | 2 | no | — |
| 348 | C22×Dic3 | — | 2 | 4 | no | — |
| 349 | #239 | — | 2 | 8 | no | — |
| 350 | #239 | — | 2 | 4 | no | — |
| 351 | #239 | — | 2 | 4 | no | — |
| 352 | D3×Q8 | — | 2 | 8 | no | — |
| 353 | D3×Q8 | — | 2 | 4 | no | — |
| 354 | D3×Q8 | — | 2 | 4 | no | — |
| 355 | #237 | — | 8 | 4 | no | — |
| 356 | #235 | — | 2 | 16 | no | — |
| 357 | #235 | — | 2 | 2 | no | — |
| 358 | #235 | — | 2 | 2 | no | — |
| 359 | #235 | — | 2 | 2 | no | — |
| 360 | #235 | #41 | 1 | 4 | yes | complemented |
| 361 | C2×D12 | — | 2 | 2 | no | — |
| 362 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 363 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 364 | C2×C4×D3 | — | 2 | 2 | no | — |
| 365 | C2×C4×D3 | — | 2 | 1 | no | — |
| 366 | C2×C4×D3 | — | 2 | 2 | no | — |
| 367 | C2×C4×D3 | — | 2 | 1 | no | — |
| 368 | C2×C4×D3 | — | 2 | 2 | no | — |
| 369 | C2×C4×D3 | — | 2 | 1 | no | — |
| 370 | C2×C4×D3 | — | 2 | 2 | no | — |
| 371 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 372 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 373 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 374 | C2×Dic6 | — | 2 | 2 | no | — |
| 375 | C2×Dic6 | — | 2 | 2 | no | — |
| 376 | C2×Dic6 | — | 2 | 2 | no | — |
| 377 | C2×Dic6 | — | 8 | 2 | no | — |
| 378 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 379 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 380 | C3×Q16 | — | 2 | 8 | no | — |
| 381 | C3×SD16 | — | 2 | 8 | no | — |
| 382 | C3×M16 | — | 2 | 4 | no | — |
| 383 | C2×C3×C8 | C24 | 1 | 4 | yes | — |
| 384 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 385 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 386 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 387 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 388 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 389 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 390 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 391 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 392 | C3×C42 | — | 2 | 2 | no | — |
| 393 | C3×C42 | — | 2 | 2 | no | — |
| 394 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 395 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 396 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 397 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 398 | #217 | — | 2 | 1 | no | — |
| 399 | #217 | — | 2 | 4 | no | — |
| 400 | #217 | — | 2 | 4 | no | — |
| 401 | #217 | C2×D4 | 1 | 2 | yes | — |
| 402 | #216 | — | 2 | 4 | no | — |
| 403 | #215 | — | 2 | 4 | no | — |
| 404 | #214 | — | 2 | 4 | no | — |
| 405 | #213 | — | 2 | 4 | no | — |
| 406 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 407 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 408 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 409 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 410 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 411 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 412 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 413 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 414 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 415 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 416 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 417 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 418 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 419 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 420 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 421 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 422 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 423 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 424 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 425 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 426 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 427 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 428 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 429 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 430 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 431 | C4×Dic3 | — | 2 | 1 | no | — |
| 432 | C4×Dic3 | — | 2 | 1 | no | — |
| 433 | C4×Dic3 | — | 2 | 1 | no | — |
| 434 | C4×Dic3 | — | 2 | 2 | no | — |
| 435 | C4×Dic3 | — | 2 | 2 | no | — |
| 436 | C4×Dic3 | — | 2 | 2 | no | — |
| 437 | C4×Dic3 | — | 2 | 2 | no | — |
| 438 | C4×Dic3 | — | 2 | 4 | no | — |
| 439 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 440 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 441 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 442 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 443 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 444 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 445 | 2−1+4 | — | 6 | 4 | no | — |
| 446 | 2−1+4 | — | 6 | 4 | no | — |
| 447 | C2×#41 | — | 3 | 1 | no | — |
| 448 | C2×#41 | — | 3 | 2 | no | — |
| 449 | C2×#41 | — | 3 | 1 | no | — |
| 450 | C2×#41 | — | 6 | 2 | no | — |
| 451 | C2×#41 | — | 6 | 2 | no | — |
| 452 | C2×#41 | — | 6 | 1 | no | — |
| 453 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 454 | C22×Q8 | — | 3 | 2 | no | — |
| 455 | C22×Q8 | — | 6 | 1 | no | — |
| 456 | C22×Q8 | — | 6 | 1 | no | — |
| 457 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 458 | #137 | — | 2 | 8 | no | — |
| 459 | #135 | — | 6 | 8 | no | — |
| 460 | C2×Q16 | — | 3 | 2 | no | — |
| 461 | C2×Q16 | C22×D3 | 1 | 4 | yes | — |
| 462 | C2×SD16 | — | 3 | 2 | no | — |
| 463 | C2×SD16 | — | 3 | 2 | no | — |
| 464 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 465 | C2×D8 | — | 3 | 2 | no | — |
| 466 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 467 | C22×C8 | — | 3 | 2 | no | — |
| 468 | C4⋊Q8 | — | 3 | 2 | no | — |
| 469 | C4⋊Q8 | — | 3 | 2 | no | — |
| 470 | C4⋊Q8 | — | 6 | 1 | no | — |
| 471 | C4⋊Q8 | — | 6 | 1 | no | — |
| 472 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 473 | #127 | C22×D3 | 1 | 1 | yes | characteristic |
| 474 | #126 | — | 6 | 4 | no | — |
| 475 | #125 | — | 6 | 2 | no | — |
| 476 | #124 | — | 6 | 2 | no | — |
| 477 | #124 | — | 6 | 4 | no | — |
| 478 | #124 | C22×D3 | 1 | 2 | yes | — |
| 479 | #123 | — | 6 | 4 | no | — |
| 480 | C22⋊Q8 | — | 3 | 4 | no | — |
| 481 | C22⋊Q8 | — | 6 | 4 | no | — |
| 482 | C22⋊Q8 | — | 6 | 2 | no | — |
| 483 | C22⋊Q8 | — | 6 | 2 | no | — |
| 484 | #121 | — | 2 | 1 | no | — |
| 485 | #121 | — | 2 | 1 | no | — |
| 486 | #121 | — | 3 | 4 | no | — |
| 487 | #121 | — | 6 | 2 | no | — |
| 488 | #121 | — | 6 | 2 | no | — |
| 489 | #121 | — | 6 | 4 | no | — |
| 490 | C4×Q8 | — | 2 | 1 | no | — |
| 491 | C4×Q8 | — | 2 | 1 | no | — |
| 492 | C4×Q8 | — | 3 | 1 | no | — |
| 493 | C4×Q8 | — | 3 | 1 | no | — |
| 494 | C4×Q8 | — | 3 | 2 | no | — |
| 495 | C4×Q8 | — | 3 | 2 | no | — |
| 496 | C4×Q8 | — | 3 | 4 | no | — |
| 497 | C4×Q8 | — | 3 | 2 | no | — |
| 498 | C4×Q8 | — | 3 | 1 | no | — |
| 499 | C4×Q8 | — | 3 | 1 | no | — |
| 500 | C4×Q8 | — | 6 | 2 | no | — |
| 501 | C4×Q8 | — | 6 | 2 | no | — |
| 502 | C4×Q8 | — | 6 | 2 | no | — |
| 503 | C4×Q8 | — | 6 | 2 | no | — |
| 504 | C4×Q8 | — | 6 | 2 | no | — |
| 505 | C4×Q8 | — | 6 | 1 | no | — |
| 506 | C4×Q8 | — | 6 | 1 | no | — |
| 507 | C4×Q8 | — | 6 | 1 | no | — |
| 508 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 509 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 510 | C4×D4 | — | 2 | 1 | no | — |
| 511 | C4×D4 | — | 2 | 1 | no | — |
| 512 | C4×D4 | — | 3 | 2 | no | — |
| 513 | C4×D4 | — | 3 | 2 | no | — |
| 514 | C4×D4 | — | 3 | 4 | no | — |
| 515 | C4×D4 | — | 3 | 2 | no | — |
| 516 | C4×D4 | — | 3 | 1 | no | — |
| 517 | C4×D4 | — | 3 | 1 | no | — |
| 518 | C4×D4 | — | 3 | 1 | no | — |
| 519 | C4×D4 | — | 3 | 1 | no | — |
| 520 | C4×D4 | — | 6 | 2 | no | — |
| 521 | C4×D4 | — | 6 | 2 | no | — |
| 522 | C4×D4 | — | 6 | 2 | no | — |
| 523 | C4×D4 | — | 6 | 2 | no | — |
| 524 | C4×D4 | — | 6 | 2 | no | — |
| 525 | C4×D4 | — | 6 | 4 | no | — |
| 526 | C4×D4 | — | 6 | 2 | no | — |
| 527 | C4×D4 | — | 6 | 1 | no | — |
| 528 | C4×D4 | — | 6 | 2 | no | — |
| 529 | C4×D4 | — | 6 | 1 | no | — |
| 530 | C4×D4 | — | 6 | 1 | no | — |
| 531 | #117 | — | 3 | 1 | no | — |
| 532 | #117 | — | 3 | 2 | no | — |
| 533 | #117 | — | 3 | 1 | no | — |
| 534 | #117 | — | 3 | 2 | no | — |
| 535 | #117 | — | 6 | 2 | no | — |
| 536 | #117 | — | 6 | 2 | no | — |
| 537 | #117 | — | 6 | 2 | no | — |
| 538 | #117 | — | 6 | 2 | no | — |
| 539 | #117 | — | 6 | 2 | no | — |
| 540 | #117 | — | 6 | 1 | no | — |
| 541 | #117 | — | 6 | 2 | no | — |
| 542 | #117 | — | 6 | 2 | no | — |
| 543 | #117 | — | 6 | 1 | no | — |
| 544 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 545 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 546 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 547 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 548 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 549 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 550 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 551 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 552 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 553 | C2×C42 | — | 2 | 1 | no | — |
| 554 | C2×C42 | — | 3 | 2 | no | — |
| 555 | C2×C42 | — | 6 | 2 | no | — |
| 556 | C2×C42 | — | 6 | 2 | no | — |
| 557 | C2×C42 | — | 6 | 1 | no | — |
| 558 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 559 | #107 | — | 3 | 4 | no | — |
| 560 | #107 | — | 3 | 4 | no | — |
| 561 | #107 | — | 3 | 4 | no | — |
| 562 | #106 | — | 3 | 4 | no | — |
| 563 | C4⋊C8 | — | 3 | 1 | no | — |
| 564 | C4⋊C8 | — | 3 | 1 | no | — |
| 565 | C4⋊C8 | — | 3 | 2 | no | — |
| 566 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 567 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 568 | #103 | — | 3 | 4 | no | — |
| 569 | #103 | — | 3 | 4 | no | — |
| 570 | #103 | — | 3 | 2 | no | — |
| 571 | #103 | — | 3 | 2 | no | — |
| 572 | #103 | — | 3 | 4 | no | — |
| 573 | #103 | C22×D3 | 1 | 4 | yes | — |
| 574 | #102 | — | 3 | 2 | no | — |
| 575 | #102 | — | 3 | 2 | no | — |
| 576 | #102 | — | 3 | 4 | no | — |
| 577 | #102 | C22×D3 | 1 | 4 | yes | — |
| 578 | C22⋊C8 | — | 3 | 4 | no | — |
| 579 | C22⋊C8 | — | 3 | 4 | no | — |
| 580 | #97 | — | 3 | 4 | no | — |
| 581 | C4×C8 | — | 3 | 4 | no | — |
| 582 | C23×C3 | — | 2 | 2 | no | — |
| 583 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 584 | C22×D3 | — | 2 | 1 | no | — |
| 585 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 586 | C3×Q8 | — | 2 | 4 | no | — |
| 587 | C3×Q8 | — | 2 | 2 | no | — |
| 588 | C3×Q8 | — | 2 | 2 | no | — |
| 589 | C3×Q8 | — | 2 | 2 | no | — |
| 590 | C3×Q8 | C2×#41 | 1 | 4 | yes | — |
| 591 | C3×D4 | — | 2 | 2 | no | — |
| 592 | C3×D4 | — | 2 | 2 | no | — |
| 593 | C3×D4 | — | 4 | 2 | no | — |
| 594 | C3×D4 | — | 4 | 4 | no | — |
| 595 | C3×D4 | — | 4 | 2 | no | — |
| 596 | C2×C3×C4 | — | 2 | 4 | no | — |
| 597 | C2×C3×C4 | — | 2 | 2 | no | — |
| 598 | C2×C3×C4 | — | 2 | 2 | no | — |
| 599 | C2×C3×C4 | — | 2 | 2 | no | — |
| 600 | C2×C3×C4 | — | 2 | 2 | no | — |
| 601 | C2×C3×C4 | — | 4 | 1 | no | — |
| 602 | C2×C3×C4 | — | 4 | 4 | no | — |
| 603 | C2×C3×C4 | — | 8 | 1 | no | — |
| 604 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 605 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 606 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 607 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 608 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 609 | C2×C3×C4 | C2×#41 | 1 | 2 | yes | — |
| 610 | C2×C3×C4 | C2×#41 | 1 | 2 | yes | — |
| 611 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 612 | #67 | — | 2 | 4 | no | — |
| 613 | #67 | — | 2 | 4 | no | — |
| 614 | #67 | — | 8 | 4 | no | — |
| 615 | C2×Dic3 | — | 2 | 1 | no | — |
| 616 | C2×Dic3 | — | 2 | 1 | no | — |
| 617 | C2×Dic3 | — | 2 | 1 | no | — |
| 618 | C2×Dic3 | — | 2 | 4 | no | — |
| 619 | C2×Dic3 | — | 8 | 4 | no | — |
| 620 | C2×Dic3 | — | 8 | 2 | no | — |
| 621 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 622 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 623 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 624 | D12 | — | 2 | 8 | no | — |
| 625 | D12 | — | 2 | 2 | no | — |
| 626 | D12 | — | 2 | 1 | no | — |
| 627 | D12 | C2×#41 | 1 | 2 | yes | — |
| 628 | C4×D3 | — | 2 | 8 | no | — |
| 629 | C4×D3 | — | 2 | 8 | no | — |
| 630 | C4×D3 | — | 2 | 4 | no | — |
| 631 | C4×D3 | — | 2 | 4 | no | — |
| 632 | C4×D3 | — | 2 | 2 | no | — |
| 633 | C4×D3 | — | 2 | 2 | no | — |
| 634 | C4×D3 | — | 4 | 2 | no | — |
| 635 | C4×D3 | — | 4 | 2 | no | — |
| 636 | C4×D3 | — | 8 | 2 | no | — |
| 637 | C4×D3 | — | 8 | 1 | no | — |
| 638 | C4×D3 | — | 8 | 2 | no | — |
| 639 | Dic6 | — | 2 | 8 | no | — |
| 640 | Dic6 | — | 2 | 2 | no | — |
| 641 | Dic6 | — | 2 | 1 | no | — |
| 642 | Dic6 | — | 4 | 4 | no | — |
| 643 | Dic6 | — | 8 | 2 | no | — |
| 644 | Dic6 | C2×#41 | 1 | 2 | yes | — |
| 645 | C3×C8 | — | 2 | 4 | no | — |
| 646 | C3⋊C8 | — | 2 | 2 | no | — |
| 647 | C3⋊C8 | — | 2 | 2 | no | — |
| 648 | #41 | — | 2 | 4 | no | — |
| 649 | #41 | — | 2 | 4 | no | — |
| 650 | #41 | — | 3 | 4 | no | — |
| 651 | #41 | — | 6 | 16 | no | — |
| 652 | #41 | — | 6 | 4 | no | — |
| 653 | #41 | — | 6 | 8 | no | — |
| 654 | #41 | — | 6 | 4 | no | — |
| 655 | #41 | — | 6 | 2 | no | — |
| 656 | #41 | — | 6 | 2 | no | — |
| 657 | #41 | — | 6 | 2 | no | — |
| 658 | #41 | — | 24 | 4 | no | — |
| 659 | C2×Q8 | — | 2 | 1 | no | — |
| 660 | C2×Q8 | — | 2 | 2 | no | — |
| 661 | C2×Q8 | — | 3 | 1 | no | — |
| 662 | C2×Q8 | — | 3 | 1 | no | — |
| 663 | C2×Q8 | — | 6 | 2 | no | — |
| 664 | C2×Q8 | — | 6 | 4 | no | — |
| 665 | C2×Q8 | — | 6 | 8 | no | — |
| 666 | C2×Q8 | — | 6 | 4 | no | — |
| 667 | C2×Q8 | — | 6 | 2 | no | — |
| 668 | C2×Q8 | — | 6 | 2 | no | — |
| 669 | C2×Q8 | — | 24 | 2 | no | — |
| 670 | C2×Q8 | #237 | 1 | 4 | yes | complemented |
| 671 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 672 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 673 | C2×D4 | — | 2 | 2 | no | — |
| 674 | C2×D4 | — | 2 | 1 | no | — |
| 675 | C2×D4 | — | 2 | 1 | no | — |
| 676 | C2×D4 | — | 3 | 2 | no | — |
| 677 | C2×D4 | — | 3 | 1 | no | — |
| 678 | C2×D4 | — | 3 | 1 | no | — |
| 679 | C2×D4 | — | 6 | 2 | no | — |
| 680 | C2×D4 | — | 6 | 1 | no | — |
| 681 | C2×D4 | — | 6 | 4 | no | — |
| 682 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 683 | C22×C4 | — | 2 | 1 | no | — |
| 684 | C22×C4 | — | 2 | 1 | no | — |
| 685 | C22×C4 | — | 2 | 2 | no | — |
| 686 | C22×C4 | — | 3 | 2 | no | — |
| 687 | C22×C4 | — | 3 | 2 | no | — |
| 688 | C22×C4 | — | 3 | 2 | no | — |
| 689 | C22×C4 | — | 6 | 2 | no | — |
| 690 | C22×C4 | — | 6 | 2 | no | — |
| 691 | C22×C4 | — | 6 | 2 | no | — |
| 692 | C22×C4 | — | 6 | 2 | no | — |
| 693 | C22×C4 | — | 6 | 4 | no | — |
| 694 | C22×C4 | — | 6 | 1 | no | — |
| 695 | C22×C4 | — | 6 | 2 | no | — |
| 696 | C22×C4 | — | 6 | 1 | no | — |
| 697 | C22×C4 | — | 6 | 1 | no | — |
| 698 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 699 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 700 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 701 | Q16 | — | 2 | 8 | no | — |
| 702 | Q16 | — | 6 | 4 | no | — |
| 703 | SD16 | — | 2 | 8 | no | — |
| 704 | SD16 | — | 6 | 4 | no | — |
| 705 | SD16 | — | 6 | 4 | no | — |
| 706 | D8 | — | 6 | 4 | no | — |
| 707 | M16 | — | 2 | 4 | no | — |
| 708 | C2×C8 | — | 3 | 2 | no | — |
| 709 | C2×C8 | — | 3 | 2 | no | — |
| 710 | C2×C8 | — | 6 | 4 | no | — |
| 711 | C2×C8 | C23×D3 | 1 | 4 | yes | — |
| 712 | C4⋊C4 | — | 2 | 2 | no | — |
| 713 | C4⋊C4 | — | 2 | 2 | no | — |
| 714 | C4⋊C4 | — | 2 | 1 | no | — |
| 715 | C4⋊C4 | — | 2 | 1 | no | — |
| 716 | C4⋊C4 | — | 2 | 1 | no | — |
| 717 | C4⋊C4 | — | 3 | 1 | no | — |
| 718 | C4⋊C4 | — | 3 | 2 | no | — |
| 719 | C4⋊C4 | — | 3 | 1 | no | — |
| 720 | C4⋊C4 | — | 3 | 2 | no | — |
| 721 | C4⋊C4 | — | 3 | 1 | no | — |
| 722 | C4⋊C4 | — | 3 | 1 | no | — |
| 723 | C4⋊C4 | — | 3 | 4 | no | — |
| 724 | C4⋊C4 | — | 6 | 2 | no | — |
| 725 | C4⋊C4 | — | 6 | 2 | no | — |
| 726 | C4⋊C4 | — | 6 | 2 | no | — |
| 727 | C4⋊C4 | — | 6 | 4 | no | — |
| 728 | C4⋊C4 | — | 6 | 2 | no | — |
| 729 | C4⋊C4 | — | 6 | 4 | no | — |
| 730 | C4⋊C4 | — | 6 | 2 | no | — |
| 731 | C4⋊C4 | — | 6 | 1 | no | — |
| 732 | C4⋊C4 | — | 6 | 2 | no | — |
| 733 | C4⋊C4 | — | 6 | 2 | no | — |
| 734 | C4⋊C4 | — | 6 | 1 | no | — |
| 735 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 736 | C22⋊C4 | — | 2 | 2 | no | — |
| 737 | C22⋊C4 | — | 2 | 2 | no | — |
| 738 | C22⋊C4 | — | 3 | 2 | no | — |
| 739 | C22⋊C4 | — | 3 | 2 | no | — |
| 740 | C22⋊C4 | — | 3 | 2 | no | — |
| 741 | C22⋊C4 | — | 6 | 2 | no | — |
| 742 | C22⋊C4 | — | 6 | 2 | no | — |
| 743 | C22⋊C4 | — | 6 | 4 | no | — |
| 744 | C22⋊C4 | — | 6 | 4 | no | — |
| 745 | C22⋊C4 | — | 6 | 4 | no | — |
| 746 | C22⋊C4 | — | 6 | 1 | no | — |
| 747 | C22⋊C4 | — | 6 | 1 | no | — |
| 748 | C22⋊C4 | — | 6 | 1 | no | — |
| 749 | C42 | — | 2 | 2 | no | — |
| 750 | C42 | — | 2 | 2 | no | — |
| 751 | C42 | — | 3 | 2 | no | — |
| 752 | C42 | — | 3 | 2 | no | — |
| 753 | C42 | — | 3 | 2 | no | — |
| 754 | C42 | — | 6 | 2 | no | — |
| 755 | C42 | — | 6 | 2 | no | — |
| 756 | C42 | — | 6 | 2 | no | — |
| 757 | C42 | — | 6 | 2 | no | — |
| 758 | C42 | — | 6 | 4 | no | — |
| 759 | C42 | — | 6 | 1 | no | — |
| 760 | C42 | — | 6 | 1 | no | — |
| 761 | C42 | — | 6 | 1 | no | — |
| 762 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 763 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 764 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 765 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 766 | C22×C3 | — | 2 | 1 | no | — |
| 767 | C22×C3 | — | 2 | 1 | no | — |
| 768 | C22×C3 | — | 4 | 2 | no | — |
| 769 | C22×C3 | — | 4 | 2 | no | — |
| 770 | C22×C3 | — | 4 | 2 | no | — |
| 771 | C22×C3 | #525 | 1 | 2 | yes | — |
| 772 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 773 | C2×D3 | — | 2 | 2 | no | — |
| 774 | C2×D3 | — | 2 | 2 | no | — |
| 775 | C2×D3 | — | 2 | 2 | no | — |
| 776 | C2×D3 | — | 2 | 2 | no | — |
| 777 | C2×D3 | — | 4 | 1 | no | — |
| 778 | C2×D3 | — | 4 | 1 | no | — |
| 779 | C3×C4 | — | 2 | 1 | no | — |
| 780 | C3×C4 | — | 2 | 1 | no | — |
| 781 | C3×C4 | — | 2 | 4 | no | — |
| 782 | C3×C4 | — | 2 | 1 | no | — |
| 783 | C3×C4 | — | 4 | 2 | no | — |
| 784 | C3×C4 | — | 4 | 2 | no | — |
| 785 | C3×C4 | #525 | 1 | 2 | yes | — |
| 786 | C3×C4 | #578 | 1 | 2 | yes | — |
| 787 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 788 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 789 | Dic3 | — | 2 | 2 | no | — |
| 790 | Dic3 | — | 2 | 2 | no | — |
| 791 | Dic3 | — | 2 | 2 | no | — |
| 792 | Dic3 | — | 2 | 2 | no | — |
| 793 | Dic3 | — | 4 | 4 | no | — |
| 794 | Dic3 | — | 4 | 1 | no | — |
| 795 | Dic3 | — | 4 | 1 | no | — |
| 796 | C23 | — | 2 | 2 | no | — |
| 797 | C23 | — | 3 | 2 | no | — |
| 798 | C23 | — | 6 | 1 | no | — |
| 799 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 800 | Q8 | — | 2 | 2 | no | — |
| 801 | Q8 | — | 2 | 4 | no | — |
| 802 | Q8 | — | 2 | 2 | no | — |
| 803 | Q8 | — | 2 | 2 | no | — |
| 804 | Q8 | — | 3 | 2 | no | — |
| 805 | Q8 | — | 6 | 8 | no | — |
| 806 | Q8 | — | 6 | 1 | no | — |
| 807 | Q8 | — | 6 | 2 | no | — |
| 808 | Q8 | — | 12 | 4 | no | — |
| 809 | Q8 | — | 24 | 2 | no | — |
| 810 | Q8 | C2×#237 | 1 | 4 | yes | — |
| 811 | D4 | — | 2 | 2 | no | — |
| 812 | D4 | — | 2 | 2 | no | — |
| 813 | D4 | — | 3 | 2 | no | — |
| 814 | D4 | — | 4 | 2 | no | — |
| 815 | D4 | — | 4 | 4 | no | — |
| 816 | D4 | — | 4 | 2 | no | — |
| 817 | D4 | — | 6 | 8 | no | — |
| 818 | D4 | — | 6 | 4 | no | — |
| 819 | D4 | — | 6 | 4 | no | — |
| 820 | D4 | — | 6 | 1 | no | — |
| 821 | D4 | — | 6 | 2 | no | — |
| 822 | D4 | — | 24 | 4 | no | — |
| 823 | C2×C4 | — | 2 | 2 | no | — |
| 824 | C2×C4 | — | 2 | 4 | no | — |
| 825 | C2×C4 | — | 2 | 2 | no | — |
| 826 | C2×C4 | — | 2 | 2 | no | — |
| 827 | C2×C4 | — | 2 | 2 | no | — |
| 828 | C2×C4 | — | 3 | 2 | no | — |
| 829 | C2×C4 | — | 3 | 2 | no | — |
| 830 | C2×C4 | — | 3 | 2 | no | — |
| 831 | C2×C4 | — | 4 | 1 | no | — |
| 832 | C2×C4 | — | 4 | 4 | no | — |
| 833 | C2×C4 | — | 6 | 8 | no | — |
| 834 | C2×C4 | — | 6 | 8 | no | — |
| 835 | C2×C4 | — | 6 | 1 | no | — |
| 836 | C2×C4 | — | 6 | 2 | no | — |
| 837 | C2×C4 | — | 6 | 2 | no | — |
| 838 | C2×C4 | — | 6 | 4 | no | — |
| 839 | C2×C4 | — | 6 | 4 | no | — |
| 840 | C2×C4 | — | 6 | 1 | no | — |
| 841 | C2×C4 | — | 6 | 1 | no | — |
| 842 | C2×C4 | — | 6 | 4 | no | — |
| 843 | C2×C4 | — | 8 | 1 | no | — |
| 844 | C2×C4 | — | 12 | 2 | no | — |
| 845 | C2×C4 | — | 12 | 2 | no | — |
| 846 | C2×C4 | — | 24 | 1 | no | — |
| 847 | C2×C4 | — | 24 | 2 | no | — |
| 848 | C2×C4 | — | 24 | 2 | no | — |
| 849 | C2×C4 | — | 24 | 4 | no | — |
| 850 | C2×C4 | — | 24 | 2 | no | — |
| 851 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 852 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 853 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 854 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 855 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 856 | C2×C4 | C2×#237 | 1 | 2 | yes | — |
| 857 | C2×C4 | D3×#41 | 1 | 2 | yes | — |
| 858 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 859 | C8 | — | 2 | 4 | no | — |
| 860 | C8 | — | 6 | 2 | no | — |
| 861 | C8 | — | 6 | 2 | no | — |
| 862 | C2×C3 | — | 2 | 2 | no | — |
| 863 | C2×C3 | — | 8 | 2 | no | — |
| 864 | C2×C3 | C2×#525 | 1 | 1 | yes | characteristic |
| 865 | C2×C3 | C2×#578 | 1 | 1 | yes | characteristic |
| 866 | C2×C3 | #3585 | 1 | 1 | yes | characteristic |
| 867 | D3 | — | 4 | 2 | no | — |
| 868 | D3 | — | 4 | 2 | no | — |
| 869 | C22 | — | 2 | 1 | no | — |
| 870 | C22 | — | 2 | 1 | no | — |
| 871 | C22 | — | 4 | 2 | no | — |
| 872 | C22 | — | 4 | 2 | no | — |
| 873 | C22 | — | 4 | 2 | no | — |
| 874 | C22 | — | 6 | 2 | no | — |
| 875 | C22 | — | 6 | 2 | no | — |
| 876 | C22 | — | 6 | 2 | no | — |
| 877 | C22 | — | 6 | 2 | no | — |
| 878 | C22 | — | 12 | 1 | no | — |
| 879 | C22 | — | 12 | 1 | no | — |
| 880 | C22 | #5606 | 1 | 2 | yes | — |
| 881 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 882 | C4 | — | 2 | 1 | no | — |
| 883 | C4 | — | 2 | 1 | no | — |
| 884 | C4 | — | 2 | 1 | no | — |
| 885 | C4 | — | 2 | 4 | no | — |
| 886 | C4 | — | 4 | 2 | no | — |
| 887 | C4 | — | 4 | 2 | no | — |
| 888 | C4 | — | 6 | 2 | no | — |
| 889 | C4 | — | 6 | 2 | no | — |
| 890 | C4 | — | 6 | 2 | no | — |
| 891 | C4 | — | 6 | 2 | no | — |
| 892 | C4 | — | 12 | 1 | no | — |
| 893 | C4 | — | 12 | 1 | no | — |
| 894 | C4 | — | 12 | 4 | no | — |
| 895 | C4 | #5606 | 1 | 2 | yes | — |
| 896 | C4 | #5779 | 1 | 2 | yes | — |
| 897 | C4 | C22×#237 | 1 | 1 | yes | characteristic |
| 898 | C4 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 899 | C3 | #60600 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 900 | C2 | — | 2 | 2 | no | — |
| 901 | C2 | — | 8 | 2 | no | — |
| 902 | C2 | — | 12 | 2 | no | — |
| 903 | C2 | — | 12 | 2 | no | — |
| 904 | C2 | C2×#5606 | 1 | 1 | yes | characteristic |
| 905 | C2 | C2×#5779 | 1 | 1 | yes | characteristic |
| 906 | C2 | #87200 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86225 | C2 | semidirect |
| 2. C4×#1007 | C2 | semidirect |
| 3. C3×#3037 | C2 | semidirect |
| 4. #83984 | C2 | semidirect |
| 5. #83965 | C2 | semidirect |
| 6. #83296 | C2 | semidirect |
| 7. C2×#5021 | C2 | semidirect |
| 8. #80574 | C2 | semidirect |
| 9. #80572 | C2 | semidirect |
| 10. #80459 | C2 | semidirect |
| 11. #80456 | C2 | semidirect |
| 12. #80362 | C2 | semidirect |
| 13. #80361 | C2 | semidirect |
| 14. #79060 | C2 | semidirect |
| 15. #79040 | C2 | semidirect |
| 16. #78874 | C2 | semidirect |
| 17. #78868 | C2 | semidirect |
| 107. #3037 | D3 | semidirect |
| 331. C2×C3×Q8 | #41 | semidirect |
| 360. #235 | #41 | semidirect |
| 670. C2×Q8 | #237 | semidirect |
| 899. C3 | #60600 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86225 | 2 |
| C4×#1007 | 2 |
| C3×#3037 | 2 |
| #83984 | 2 |
| #83965 | 2 |
| #83296 | 2 |
| C2×#5021 | 2 |
| #80574 | 2 |
| #80572 | 2 |
| #80459 | 2 |
| #80456 | 2 |
| #80362 | 2 |
| #80361 | 2 |
| #79060 | 2 |
| #79040 | 2 |
| #78874 | 2 |
| #78868 | 2 |
| #60600 | 3 |