Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
41785 conjugacy classes of subgroups.
The subgroup lattice has 731 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10586984 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10574874 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10574203 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #6372744 | C2 | 1 | 12 | yes | maximal, complemented |
| 5 | #6372743 | C2 | 1 | 12 | yes | maximal, complemented |
| 6 | #6372742 | C2 | 1 | 12 | yes | maximal, complemented |
| 7 | C2×#21483 | C2 | 1 | 12 | yes | maximal, complemented |
| 8 | #6371562 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #6371341 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #6370739 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #6369831 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #63103 | C22 | 1 | 1 | yes | characteristic |
| 13 | #63076 | — | 2 | 24 | no | — |
| 14 | #63076 | C22 | 1 | 3 | yes | — |
| 15 | #63076 | C22 | 1 | 12 | yes | complemented |
| 16 | C2×#3573 | — | 2 | 24 | no | — |
| 17 | C2×#3573 | C22 | 1 | 3 | yes | — |
| 18 | C2×#3573 | C22 | 1 | 12 | yes | complemented |
| 19 | C23×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #62811 | C22 | 1 | 3 | yes | — |
| 21 | #60402 | C4 | 1 | 4 | yes | — |
| 22 | #60401 | C4 | 1 | 12 | yes | — |
| 23 | #60400 | C4 | 1 | 4 | yes | — |
| 24 | #60399 | C4 | 1 | 12 | yes | — |
| 25 | #60398 | C22 | 1 | 12 | yes | — |
| 26 | C2×#3025 | C22 | 1 | 12 | yes | — |
| 27 | #60146 | — | 2 | 24 | no | — |
| 28 | D4×#131 | — | 2 | 24 | no | — |
| 29 | #60142 | C22 | 1 | 18 | yes | complemented |
| 30 | #60141 | C22 | 1 | 18 | yes | complemented |
| 31 | #60140 | C22 | 1 | 18 | yes | complemented |
| 32 | C2×#2929 | C22 | 1 | 18 | yes | complemented |
| 33 | #60100 | C22 | 1 | 3 | yes | complemented |
| 34 | #60076 | C22 | 1 | 3 | yes | — |
| 35 | #60070 | C22 | 1 | 3 | yes | — |
| 36 | #60065 | C22 | 1 | 3 | yes | — |
| 37 | #60064 | C22 | 1 | 3 | yes | complemented |
| 38 | #60058 | C22 | 1 | 3 | yes | complemented |
| 39 | #21484 | C22 | 1 | 96 | yes | complemented |
| 40 | #21483 | C22 | 1 | 16 | yes | complemented |
| 41 | #21483 | C22 | 1 | 48 | yes | complemented |
| 42 | #21483 | C22 | 1 | 48 | yes | complemented |
| 43 | #21483 | C22 | 1 | 48 | yes | complemented |
| 44 | #20964 | C22 | 1 | 36 | yes | complemented |
| 45 | C2×#1891 | C22 | 1 | 36 | yes | complemented |
| 46 | #20892 | C22 | 1 | 36 | yes | complemented |
| 47 | C2×#1868 | C22 | 1 | 36 | yes | complemented |
| 48 | #20612 | C22 | 1 | 12 | yes | complemented |
| 49 | C2×#1791 | C22 | 1 | 12 | yes | complemented |
| 50 | #20401 | C22 | 1 | 36 | yes | complemented |
| 51 | C2×#1757 | C22 | 1 | 36 | yes | complemented |
| 52 | #20360 | C22 | 1 | 6 | yes | complemented |
| 53 | 2−1+6 | — | 2 | 12 | no | — |
| 54 | 2−1+6 | C2×C4 | 1 | 4 | yes | — |
| 55 | H(7,𝔽2) | — | 2 | 12 | no | — |
| 56 | H(7,𝔽2) | C2×C4 | 1 | 12 | yes | — |
| 57 | C2×#585 | — | 2 | 24 | no | — |
| 58 | C2×#585 | C23 | 1 | 12 | yes | — |
| 59 | C2×#585 | C23 | 1 | 3 | yes | — |
| 60 | C23×#41 | C23 | 1 | 1 | yes | characteristic |
| 61 | #3573 | — | 2 | 64 | no | — |
| 62 | #3573 | — | 2 | 192 | no | — |
| 63 | #3573 | — | 2 | 24 | no | — |
| 64 | #3573 | — | 2 | 48 | no | — |
| 65 | #3573 | — | 2 | 24 | no | — |
| 66 | #3573 | — | 2 | 72 | no | — |
| 67 | #3573 | — | 2 | 144 | no | — |
| 68 | #3573 | — | 2 | 72 | no | — |
| 69 | #3573 | C23 | 1 | 16 | yes | — |
| 70 | #3573 | C23 | 1 | 48 | yes | — |
| 71 | C2×#568 | — | 2 | 192 | no | — |
| 72 | C2×#568 | — | 2 | 24 | no | — |
| 73 | C2×#568 | — | 2 | 144 | no | — |
| 74 | C2×#568 | — | 2 | 72 | no | — |
| 75 | C2×#568 | D4 | 1 | 24 | yes | complemented |
| 76 | C2×#568 | C23 | 1 | 36 | yes | — |
| 77 | C2×#568 | C23 | 1 | 18 | yes | — |
| 78 | C2×#568 | C23 | 1 | 3 | yes | — |
| 79 | C2×#568 | C23 | 1 | 3 | yes | — |
| 80 | C22×#131 | — | 2 | 64 | no | — |
| 81 | C22×#131 | — | 2 | 12 | no | — |
| 82 | C22×#131 | — | 2 | 12 | no | — |
| 83 | C22×#131 | — | 2 | 72 | no | — |
| 84 | C22×#131 | D4 | 1 | 24 | yes | complemented |
| 85 | C22×#131 | C23 | 1 | 18 | yes | — |
| 86 | C22×#131 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×#131 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×#131 | C23 | 1 | 3 | yes | complemented |
| 89 | C22×#131 | C23 | 1 | 3 | yes | complemented |
| 90 | C23×M16 | C23 | 1 | 3 | yes | complemented |
| 91 | C24×C8 | C23 | 1 | 3 | yes | complemented |
| 92 | #3489 | — | 2 | 12 | no | — |
| 93 | #3488 | — | 2 | 12 | no | — |
| 94 | #3487 | C2×C4 | 1 | 6 | yes | — |
| 95 | #3486 | C2×C4 | 1 | 6 | yes | — |
| 96 | #3485 | C2×C4 | 1 | 18 | yes | — |
| 97 | #3484 | C2×C4 | 1 | 18 | yes | — |
| 98 | D4×#41 | — | 2 | 24 | no | — |
| 99 | #3449 | C23 | 1 | 18 | yes | — |
| 100 | C2×#525 | C23 | 1 | 18 | yes | — |
| 101 | #3428 | C23 | 1 | 3 | yes | — |
| 102 | #3028 | C2×C4 | 1 | 48 | yes | — |
| 103 | #3027 | C2×C4 | 1 | 48 | yes | — |
| 104 | #3026 | C2×C4 | 1 | 96 | yes | — |
| 105 | #3025 | C2×C4 | 1 | 48 | yes | — |
| 106 | #3025 | C2×C4 | 1 | 48 | yes | — |
| 107 | #3025 | C23 | 1 | 16 | yes | — |
| 108 | #3025 | C23 | 1 | 48 | yes | — |
| 109 | C2×#458 | C2×C4 | 1 | 48 | yes | — |
| 110 | C2×B(4,𝔽2) | C2×C4 | 1 | 48 | yes | — |
| 111 | #2935 | — | 2 | 72 | no | — |
| 112 | D4×M16 | — | 2 | 72 | no | — |
| 113 | #2933 | — | 2 | 72 | no | — |
| 114 | #2933 | — | 2 | 72 | no | — |
| 115 | #2932 | — | 2 | 36 | no | — |
| 116 | #2931 | — | 2 | 36 | no | — |
| 117 | #2930 | — | 2 | 36 | no | — |
| 118 | #2930 | C23 | 1 | 72 | yes | complemented |
| 119 | #2929 | — | 2 | 36 | no | — |
| 120 | #2929 | — | 2 | 36 | no | — |
| 121 | #2929 | — | 2 | 36 | no | — |
| 122 | #2929 | C23 | 1 | 12 | yes | complemented |
| 123 | #2929 | C23 | 1 | 36 | yes | complemented |
| 124 | #2929 | C23 | 1 | 36 | yes | complemented |
| 125 | #2929 | C23 | 1 | 36 | yes | complemented |
| 126 | C2×#435 | — | 2 | 36 | no | — |
| 127 | C2×C8×D4 | — | 2 | 36 | no | — |
| 128 | #2906 | — | 2 | 24 | no | — |
| 129 | #2905 | C23 | 1 | 18 | yes | complemented |
| 130 | C2×#424 | C23 | 1 | 18 | yes | complemented |
| 131 | #2889 | — | 2 | 12 | no | — |
| 132 | #2888 | — | 2 | 12 | no | — |
| 133 | C2×#413 | C23 | 1 | 36 | yes | — |
| 134 | #2884 | C2×C4 | 1 | 12 | yes | — |
| 135 | #2883 | C2×C4 | 1 | 36 | yes | — |
| 136 | C2×#410 | C23 | 1 | 36 | yes | — |
| 137 | #2880 | — | 2 | 24 | no | — |
| 138 | #2880 | — | 2 | 24 | no | — |
| 139 | #2879 | C23 | 1 | 18 | yes | — |
| 140 | #2879 | C23 | 1 | 18 | yes | complemented |
| 141 | C2×#408 | C23 | 1 | 18 | yes | — |
| 142 | C2×#407 | C23 | 1 | 18 | yes | complemented |
| 143 | #2875 | — | 2 | 12 | no | — |
| 144 | C4×#131 | — | 2 | 12 | no | — |
| 145 | #2873 | C23 | 1 | 18 | yes | complemented |
| 146 | C2×#405 | C23 | 1 | 18 | yes | complemented |
| 147 | #1891 | C23 | 1 | 48 | yes | complemented |
| 148 | #1891 | C23 | 1 | 144 | yes | complemented |
| 149 | #1868 | C23 | 1 | 48 | yes | complemented |
| 150 | #1868 | C23 | 1 | 144 | yes | complemented |
| 151 | #1791 | C23 | 1 | 16 | yes | — |
| 152 | #1791 | C23 | 1 | 48 | yes | — |
| 153 | #1757 | C23 | 1 | 48 | yes | complemented |
| 154 | #1757 | C23 | 1 | 144 | yes | complemented |
| 155 | C2×#344 | C23 | 1 | 72 | yes | complemented |
| 156 | #585 | — | 2 | 64 | no | — |
| 157 | #585 | — | 2 | 192 | no | — |
| 158 | #585 | — | 2 | 48 | no | — |
| 159 | #585 | — | 2 | 144 | no | — |
| 160 | #585 | — | 2 | 72 | no | — |
| 161 | #585 | — | 2 | 24 | no | — |
| 162 | #585 | — | 2 | 72 | no | — |
| 163 | #585 | — | 2 | 24 | no | — |
| 164 | #585 | C22×C4 | 1 | 48 | yes | — |
| 165 | #585 | C24 | 1 | 16 | yes | — |
| 166 | C2×2−1+4 | — | 2 | 96 | no | — |
| 167 | C2×2−1+4 | — | 2 | 48 | no | — |
| 168 | C2×2−1+4 | — | 2 | 36 | no | — |
| 169 | C2×2−1+4 | C22×C4 | 1 | 6 | yes | — |
| 170 | C2×2−1+4 | #41 | 1 | 12 | yes | — |
| 171 | C2×H(5,𝔽2) | — | 2 | 96 | no | — |
| 172 | C2×H(5,𝔽2) | — | 2 | 144 | no | — |
| 173 | C2×H(5,𝔽2) | — | 2 | 36 | no | — |
| 174 | C2×H(5,𝔽2) | C22×C4 | 1 | 48 | yes | — |
| 175 | C2×H(5,𝔽2) | C22×C4 | 1 | 18 | yes | — |
| 176 | C2×H(5,𝔽2) | #41 | 1 | 12 | yes | — |
| 177 | C22×#41 | — | 2 | 64 | no | — |
| 178 | C22×#41 | — | 2 | 12 | no | — |
| 179 | C22×#41 | — | 2 | 12 | no | — |
| 180 | C22×#41 | — | 2 | 72 | no | — |
| 181 | C22×#41 | C22×C4 | 1 | 3 | yes | — |
| 182 | C22×#41 | C22×C4 | 1 | 1 | yes | characteristic |
| 183 | C22×#41 | C2×D4 | 1 | 24 | yes | — |
| 184 | C22×#41 | C24 | 1 | 18 | yes | — |
| 185 | C22×#41 | C24 | 1 | 3 | yes | — |
| 186 | C22×#41 | C24 | 1 | 1 | yes | characteristic |
| 187 | C23×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 188 | C23×D4 | C22×C4 | 1 | 3 | yes | — |
| 189 | C24×C4 | C24 | 1 | 3 | yes | — |
| 190 | #568 | — | 2 | 192 | no | — |
| 191 | #568 | — | 2 | 576 | no | — |
| 192 | #568 | — | 2 | 576 | no | — |
| 193 | #568 | — | 2 | 192 | no | — |
| 194 | #568 | — | 2 | 72 | no | — |
| 195 | #568 | — | 2 | 24 | no | — |
| 196 | #568 | — | 2 | 192 | no | — |
| 197 | #568 | — | 2 | 24 | no | — |
| 198 | #568 | — | 2 | 96 | no | — |
| 199 | #568 | — | 2 | 288 | no | — |
| 200 | #568 | — | 2 | 144 | no | — |
| 201 | #568 | — | 2 | 144 | no | — |
| 202 | #568 | C24 | 1 | 48 | yes | — |
| 203 | C2×#131 | — | 2 | 288 | no | — |
| 204 | C2×#131 | — | 2 | 48 | no | — |
| 205 | C2×#131 | — | 2 | 192 | no | — |
| 206 | C2×#131 | — | 2 | 576 | no | — |
| 207 | C2×#131 | — | 2 | 288 | no | — |
| 208 | C2×#131 | — | 2 | 144 | no | — |
| 209 | C2×#131 | — | 2 | 96 | no | — |
| 210 | C2×#131 | — | 2 | 96 | no | — |
| 211 | C2×#131 | — | 2 | 12 | no | — |
| 212 | C2×#131 | — | 2 | 12 | no | — |
| 213 | C2×#131 | — | 2 | 36 | no | — |
| 214 | C2×#131 | — | 2 | 96 | no | — |
| 215 | C2×#131 | — | 2 | 72 | no | — |
| 216 | C2×#131 | — | 2 | 288 | no | — |
| 217 | C2×#131 | — | 2 | 144 | no | — |
| 218 | C2×#131 | — | 2 | 72 | no | — |
| 219 | C2×#131 | — | 2 | 18 | no | — |
| 220 | C2×#131 | — | 2 | 18 | no | — |
| 221 | C2×#131 | — | 4 | 16 | no | — |
| 222 | C2×#131 | — | 4 | 48 | no | — |
| 223 | C2×#131 | C2×D4 | 1 | 24 | yes | — |
| 224 | C2×#131 | C2×D4 | 1 | 12 | yes | — |
| 225 | C2×#131 | C2×D4 | 1 | 12 | yes | — |
| 226 | C2×#131 | C2×D4 | 1 | 36 | yes | complemented |
| 227 | C2×#131 | C2×D4 | 1 | 36 | yes | complemented |
| 228 | C2×#131 | C2×D4 | 1 | 72 | yes | complemented |
| 229 | C2×#131 | C24 | 1 | 12 | yes | — |
| 230 | C2×#131 | C24 | 1 | 36 | yes | — |
| 231 | C22×M16 | — | 2 | 192 | no | — |
| 232 | C22×M16 | — | 2 | 144 | no | — |
| 233 | C22×M16 | — | 2 | 72 | no | — |
| 234 | C22×M16 | — | 2 | 36 | no | — |
| 235 | C22×M16 | C2×D4 | 1 | 36 | yes | complemented |
| 236 | C22×M16 | C2×D4 | 1 | 72 | yes | complemented |
| 237 | C22×M16 | C24 | 1 | 18 | yes | — |
| 238 | C22×M16 | C24 | 1 | 18 | yes | — |
| 239 | C22×M16 | C24 | 1 | 3 | yes | — |
| 240 | C22×M16 | C24 | 1 | 6 | yes | — |
| 241 | C22×M16 | C24 | 1 | 3 | yes | — |
| 242 | C23×C8 | — | 2 | 48 | no | — |
| 243 | C23×C8 | — | 2 | 18 | no | — |
| 244 | C23×C8 | — | 2 | 18 | no | — |
| 245 | C23×C8 | C2×D4 | 1 | 36 | yes | complemented |
| 246 | C23×C8 | C24 | 1 | 3 | yes | — |
| 247 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 248 | C23×C8 | C24 | 1 | 3 | yes | — |
| 249 | C23×C8 | C24 | 1 | 3 | yes | — |
| 250 | C23×C8 | C24 | 1 | 3 | yes | — |
| 251 | C23×C8 | C24 | 1 | 3 | yes | — |
| 252 | #550 | — | 2 | 24 | no | — |
| 253 | D4×Q8 | — | 2 | 24 | no | — |
| 254 | #548 | — | 2 | 24 | no | — |
| 255 | #548 | — | 2 | 24 | no | — |
| 256 | #547 | — | 2 | 72 | no | — |
| 257 | #546 | — | 2 | 72 | no | — |
| 258 | #546 | — | 2 | 72 | no | — |
| 259 | D42 | — | 2 | 72 | no | — |
| 260 | #537 | — | 2 | 36 | no | — |
| 261 | #536 | — | 2 | 18 | no | — |
| 262 | #536 | C22×C4 | 1 | 36 | yes | — |
| 263 | #535 | — | 2 | 18 | no | — |
| 264 | #535 | C22×C4 | 1 | 36 | yes | — |
| 265 | #534 | C22×C4 | 1 | 72 | yes | — |
| 266 | #532 | — | 2 | 36 | no | — |
| 267 | #525 | — | 2 | 36 | no | — |
| 268 | #525 | — | 2 | 36 | no | — |
| 269 | #525 | — | 2 | 36 | no | — |
| 270 | #525 | C22×C4 | 1 | 36 | yes | — |
| 271 | #525 | C22×C4 | 1 | 36 | yes | — |
| 272 | #525 | C24 | 1 | 12 | yes | — |
| 273 | #525 | C24 | 1 | 36 | yes | — |
| 274 | C2×#123 | C22×C4 | 1 | 36 | yes | — |
| 275 | C2×C22⋊Q8 | — | 2 | 18 | no | — |
| 276 | C2×#121 | — | 2 | 18 | no | — |
| 277 | C2×#120 | C22×C4 | 1 | 36 | yes | — |
| 278 | #520 | — | 2 | 12 | no | — |
| 279 | #519 | C22×C4 | 1 | 6 | yes | — |
| 280 | #518 | C22×C4 | 1 | 18 | yes | — |
| 281 | C4×#41 | — | 2 | 12 | no | — |
| 282 | C2×C4×D4 | — | 2 | 36 | no | — |
| 283 | C2×#117 | C24 | 1 | 18 | yes | — |
| 284 | #458 | C22×C4 | 1 | 64 | yes | — |
| 285 | #458 | C22×C4 | 1 | 192 | yes | — |
| 286 | B(4,𝔽2) | C22×C4 | 1 | 64 | yes | — |
| 287 | B(4,𝔽2) | C22×C4 | 1 | 192 | yes | — |
| 288 | #436 | — | 2 | 144 | no | — |
| 289 | #435 | — | 2 | 24 | no | — |
| 290 | #435 | — | 2 | 72 | no | — |
| 291 | #435 | — | 2 | 72 | no | — |
| 292 | #435 | — | 2 | 72 | no | — |
| 293 | #435 | — | 2 | 144 | no | — |
| 294 | C8×D4 | — | 2 | 24 | no | — |
| 295 | C8×D4 | — | 2 | 72 | no | — |
| 296 | C8×D4 | — | 2 | 72 | no | — |
| 297 | C8×D4 | — | 2 | 72 | no | — |
| 298 | #424 | — | 2 | 36 | no | — |
| 299 | #424 | — | 2 | 36 | no | — |
| 300 | #424 | C24 | 1 | 12 | yes | — |
| 301 | #424 | C24 | 1 | 36 | yes | — |
| 302 | #423 | — | 2 | 36 | no | — |
| 303 | C2×C4⋊C8 | — | 2 | 36 | no | — |
| 304 | #413 | — | 2 | 72 | no | — |
| 305 | #413 | C24 | 1 | 48 | yes | — |
| 306 | C2×#101 | — | 2 | 36 | no | — |
| 307 | C2×#100 | — | 2 | 36 | no | — |
| 308 | #410 | C22×C4 | 1 | 144 | yes | — |
| 309 | #410 | C24 | 1 | 48 | yes | — |
| 310 | C2×#99 | C22×C4 | 1 | 144 | yes | — |
| 311 | #408 | — | 2 | 36 | no | — |
| 312 | #408 | — | 2 | 36 | no | — |
| 313 | #408 | — | 2 | 36 | no | — |
| 314 | #408 | — | 2 | 36 | no | — |
| 315 | #408 | C24 | 1 | 12 | yes | — |
| 316 | #408 | C24 | 1 | 36 | yes | — |
| 317 | #407 | — | 2 | 36 | no | — |
| 318 | #407 | — | 2 | 36 | no | — |
| 319 | #407 | C24 | 1 | 12 | yes | — |
| 320 | #407 | C24 | 1 | 36 | yes | — |
| 321 | C2×C22⋊C8 | — | 2 | 36 | no | — |
| 322 | C2×C22⋊C8 | — | 2 | 36 | no | — |
| 323 | #405 | — | 2 | 36 | no | — |
| 324 | #405 | — | 2 | 18 | no | — |
| 325 | #405 | — | 2 | 18 | no | — |
| 326 | #405 | C24 | 1 | 12 | yes | — |
| 327 | #405 | C24 | 1 | 36 | yes | — |
| 328 | C4×M16 | — | 2 | 36 | no | — |
| 329 | C2×#97 | — | 2 | 18 | no | — |
| 330 | C2×C4×C8 | — | 2 | 18 | no | — |
| 331 | #344 | C24 | 1 | 96 | yes | — |
| 332 | C25 | C23×C4 | 1 | 3 | yes | — |
| 333 | 2−1+4 | — | 2 | 192 | no | — |
| 334 | 2−1+4 | — | 2 | 288 | no | — |
| 335 | 2−1+4 | — | 2 | 192 | no | — |
| 336 | 2−1+4 | — | 2 | 96 | no | — |
| 337 | 2−1+4 | — | 2 | 144 | no | — |
| 338 | 2−1+4 | — | 2 | 48 | no | — |
| 339 | 2−1+4 | — | 2 | 48 | no | — |
| 340 | H(5,𝔽2) | — | 2 | 64 | no | — |
| 341 | H(5,𝔽2) | — | 2 | 288 | no | — |
| 342 | H(5,𝔽2) | — | 2 | 576 | no | — |
| 343 | H(5,𝔽2) | — | 2 | 96 | no | — |
| 344 | H(5,𝔽2) | — | 2 | 144 | no | — |
| 345 | H(5,𝔽2) | — | 2 | 288 | no | — |
| 346 | H(5,𝔽2) | — | 2 | 144 | no | — |
| 347 | H(5,𝔽2) | — | 2 | 48 | no | — |
| 348 | H(5,𝔽2) | C23×C4 | 1 | 64 | yes | — |
| 349 | C2×#41 | — | 2 | 288 | no | — |
| 350 | C2×#41 | — | 2 | 48 | no | — |
| 351 | C2×#41 | — | 2 | 192 | no | — |
| 352 | C2×#41 | — | 2 | 576 | no | — |
| 353 | C2×#41 | — | 2 | 288 | no | — |
| 354 | C2×#41 | — | 2 | 144 | no | — |
| 355 | C2×#41 | — | 2 | 96 | no | — |
| 356 | C2×#41 | — | 2 | 96 | no | — |
| 357 | C2×#41 | — | 2 | 12 | no | — |
| 358 | C2×#41 | — | 2 | 36 | no | — |
| 359 | C2×#41 | — | 2 | 288 | no | — |
| 360 | C2×#41 | — | 2 | 144 | no | — |
| 361 | C2×#41 | — | 2 | 96 | no | — |
| 362 | C2×#41 | — | 2 | 72 | no | — |
| 363 | C2×#41 | — | 2 | 18 | no | — |
| 364 | C2×#41 | — | 2 | 72 | no | — |
| 365 | C2×#41 | — | 2 | 18 | no | — |
| 366 | C2×#41 | — | 4 | 16 | no | — |
| 367 | C2×#41 | — | 4 | 48 | no | — |
| 368 | C2×#41 | C4×D4 | 1 | 72 | yes | — |
| 369 | C2×#41 | C4×D4 | 1 | 24 | yes | — |
| 370 | C2×#41 | C23×C4 | 1 | 36 | yes | — |
| 371 | C2×#41 | C22×D4 | 1 | 36 | yes | — |
| 372 | C2×#41 | C22×D4 | 1 | 12 | yes | — |
| 373 | C2×#41 | C2×#41 | 1 | 36 | yes | — |
| 374 | C2×#41 | C2×#41 | 1 | 12 | yes | — |
| 375 | C2×#41 | C25 | 1 | 12 | yes | — |
| 376 | C22×Q8 | — | 2 | 64 | no | — |
| 377 | C22×Q8 | — | 2 | 72 | no | — |
| 378 | C22×Q8 | — | 2 | 12 | no | — |
| 379 | C22×Q8 | C4×D4 | 1 | 24 | yes | — |
| 380 | C22×Q8 | C23×C4 | 1 | 3 | yes | — |
| 381 | C22×Q8 | C23×C4 | 1 | 1 | yes | characteristic |
| 382 | C22×Q8 | C2×#41 | 1 | 18 | yes | — |
| 383 | C22×D4 | — | 2 | 192 | no | — |
| 384 | C22×D4 | — | 2 | 72 | no | — |
| 385 | C22×D4 | — | 2 | 144 | no | — |
| 386 | C22×D4 | — | 2 | 36 | no | — |
| 387 | C22×D4 | — | 2 | 36 | no | — |
| 388 | C22×D4 | C4×D4 | 1 | 72 | yes | — |
| 389 | C22×D4 | C23×C4 | 1 | 36 | yes | — |
| 390 | C22×D4 | C23×C4 | 1 | 6 | yes | — |
| 391 | C22×D4 | C23×C4 | 1 | 3 | yes | — |
| 392 | C22×D4 | C23×C4 | 1 | 3 | yes | — |
| 393 | C22×D4 | C2×#41 | 1 | 18 | yes | — |
| 394 | C23×C4 | — | 2 | 48 | no | — |
| 395 | C23×C4 | — | 2 | 18 | no | — |
| 396 | C23×C4 | — | 2 | 18 | no | — |
| 397 | C23×C4 | C23×C4 | 1 | 3 | yes | — |
| 398 | C23×C4 | C23×C4 | 1 | 3 | yes | — |
| 399 | C23×C4 | C23×C4 | 1 | 3 | yes | — |
| 400 | C23×C4 | C22×D4 | 1 | 36 | yes | — |
| 401 | C23×C4 | C25 | 1 | 1 | yes | characteristic |
| 402 | C23×C4 | C25 | 1 | 3 | yes | — |
| 403 | C23×C4 | C25 | 1 | 3 | yes | — |
| 404 | #131 | — | 2 | 64 | no | — |
| 405 | #131 | — | 2 | 576 | no | — |
| 406 | #131 | — | 2 | 576 | no | — |
| 407 | #131 | — | 2 | 192 | no | — |
| 408 | #131 | — | 2 | 192 | no | — |
| 409 | #131 | — | 2 | 96 | no | — |
| 410 | #131 | — | 2 | 288 | no | — |
| 411 | #131 | — | 2 | 72 | no | — |
| 412 | #131 | — | 2 | 144 | no | — |
| 413 | #131 | — | 2 | 72 | no | — |
| 414 | #131 | — | 2 | 24 | no | — |
| 415 | #131 | — | 2 | 192 | no | — |
| 416 | #131 | — | 2 | 144 | no | — |
| 417 | #131 | — | 2 | 24 | no | — |
| 418 | #131 | — | 4 | 16 | no | — |
| 419 | #131 | — | 4 | 48 | no | — |
| 420 | #131 | — | 4 | 48 | no | — |
| 421 | #131 | — | 4 | 36 | no | — |
| 422 | #131 | — | 4 | 12 | no | — |
| 423 | #131 | #120 | 1 | 16 | yes | — |
| 424 | #131 | #120 | 1 | 48 | yes | — |
| 425 | C2×M16 | — | 2 | 288 | no | — |
| 426 | C2×M16 | — | 2 | 576 | no | — |
| 427 | C2×M16 | — | 2 | 192 | no | — |
| 428 | C2×M16 | — | 2 | 144 | no | — |
| 429 | C2×M16 | — | 2 | 96 | no | — |
| 430 | C2×M16 | — | 2 | 72 | no | — |
| 431 | C2×M16 | — | 2 | 288 | no | — |
| 432 | C2×M16 | — | 2 | 18 | no | — |
| 433 | C2×M16 | — | 2 | 18 | no | — |
| 434 | C2×M16 | — | 2 | 144 | no | — |
| 435 | C2×M16 | — | 2 | 36 | no | — |
| 436 | C2×M16 | — | 2 | 72 | no | — |
| 437 | C2×M16 | — | 4 | 48 | no | — |
| 438 | C2×M16 | C22×D4 | 1 | 24 | yes | — |
| 439 | C2×M16 | C22×D4 | 1 | 72 | yes | — |
| 440 | C2×M16 | C22×D4 | 1 | 36 | yes | — |
| 441 | C2×M16 | C22×D4 | 1 | 36 | yes | — |
| 442 | C2×M16 | C25 | 1 | 12 | yes | — |
| 443 | C2×M16 | C25 | 1 | 12 | yes | — |
| 444 | C22×C8 | — | 2 | 64 | no | — |
| 445 | C22×C8 | — | 2 | 144 | no | — |
| 446 | C22×C8 | — | 2 | 192 | no | — |
| 447 | C22×C8 | — | 2 | 72 | no | — |
| 448 | C22×C8 | — | 2 | 72 | no | — |
| 449 | C22×C8 | — | 2 | 18 | no | — |
| 450 | C22×C8 | — | 2 | 18 | no | — |
| 451 | C22×C8 | — | 2 | 3 | no | — |
| 452 | C22×C8 | — | 2 | 3 | no | — |
| 453 | C22×C8 | — | 2 | 18 | no | — |
| 454 | C22×C8 | — | 2 | 9 | no | — |
| 455 | C22×C8 | — | 2 | 18 | no | — |
| 456 | C22×C8 | — | 2 | 9 | no | — |
| 457 | C22×C8 | — | 4 | 36 | no | — |
| 458 | C22×C8 | — | 4 | 12 | no | — |
| 459 | C22×C8 | C22×D4 | 1 | 24 | yes | — |
| 460 | C22×C8 | C22×D4 | 1 | 72 | yes | — |
| 461 | C22×C8 | C22×D4 | 1 | 36 | yes | — |
| 462 | C22×C8 | C22×D4 | 1 | 18 | yes | — |
| 463 | C22×C8 | C22×D4 | 1 | 18 | yes | — |
| 464 | C22×C8 | C25 | 1 | 1 | yes | characteristic |
| 465 | C22×C8 | C25 | 1 | 3 | yes | — |
| 466 | C22×C8 | C25 | 1 | 1 | yes | characteristic |
| 467 | C22×C8 | C25 | 1 | 3 | yes | — |
| 468 | C4⋊Q8 | — | 2 | 36 | no | — |
| 469 | #127 | — | 2 | 36 | no | — |
| 470 | #124 | — | 2 | 36 | no | — |
| 471 | #124 | — | 2 | 36 | no | — |
| 472 | #123 | — | 2 | 72 | no | — |
| 473 | #123 | — | 2 | 72 | no | — |
| 474 | #123 | C23×C4 | 1 | 24 | yes | — |
| 475 | #123 | C23×C4 | 1 | 72 | yes | — |
| 476 | C22⋊Q8 | — | 2 | 36 | no | — |
| 477 | C22⋊Q8 | — | 2 | 36 | no | — |
| 478 | C22⋊Q8 | — | 2 | 12 | no | — |
| 479 | C22⋊Q8 | — | 2 | 36 | no | — |
| 480 | C22⋊Q8 | — | 2 | 72 | no | — |
| 481 | #121 | — | 2 | 36 | no | — |
| 482 | #121 | — | 2 | 36 | no | — |
| 483 | #121 | — | 2 | 144 | no | — |
| 484 | #121 | — | 2 | 12 | no | — |
| 485 | #121 | — | 2 | 36 | no | — |
| 486 | #121 | — | 2 | 72 | no | — |
| 487 | #120 | — | 2 | 72 | no | — |
| 488 | #120 | — | 2 | 72 | no | — |
| 489 | #120 | C23×C4 | 1 | 24 | yes | — |
| 490 | #120 | C23×C4 | 1 | 72 | yes | — |
| 491 | C4×Q8 | — | 2 | 24 | no | — |
| 492 | C4×D4 | — | 2 | 72 | no | — |
| 493 | C4×D4 | — | 2 | 72 | no | — |
| 494 | C4×D4 | — | 2 | 72 | no | — |
| 495 | C4×D4 | — | 2 | 24 | no | — |
| 496 | C4×D4 | — | 2 | 72 | no | — |
| 497 | #117 | — | 2 | 18 | no | — |
| 498 | #117 | — | 2 | 18 | no | — |
| 499 | #117 | C23×C4 | 1 | 36 | yes | — |
| 500 | #117 | C25 | 1 | 12 | yes | — |
| 501 | C2×C4⋊C4 | — | 2 | 36 | no | — |
| 502 | C2×C4⋊C4 | — | 2 | 18 | no | — |
| 503 | C2×C22⋊C4 | — | 2 | 36 | no | — |
| 504 | C2×C22⋊C4 | — | 2 | 36 | no | — |
| 505 | C2×C22⋊C4 | C23×C4 | 1 | 36 | yes | — |
| 506 | C2×C42 | — | 2 | 18 | no | — |
| 507 | C4⋊C8 | — | 2 | 24 | no | — |
| 508 | C4⋊C8 | — | 2 | 72 | no | — |
| 509 | #101 | — | 2 | 48 | no | — |
| 510 | #100 | — | 2 | 48 | no | — |
| 511 | #99 | C23×C4 | 1 | 192 | yes | — |
| 512 | C22⋊C8 | — | 2 | 24 | no | — |
| 513 | C22⋊C8 | — | 2 | 72 | no | — |
| 514 | C22⋊C8 | — | 2 | 24 | no | — |
| 515 | C22⋊C8 | — | 2 | 72 | no | — |
| 516 | #97 | — | 2 | 12 | no | — |
| 517 | #97 | — | 2 | 36 | no | — |
| 518 | C4×C8 | — | 2 | 12 | no | — |
| 519 | C4×C8 | — | 2 | 36 | no | — |
| 520 | C24 | — | 2 | 48 | no | — |
| 521 | C24 | — | 2 | 18 | no | — |
| 522 | C24 | — | 8 | 6 | no | — |
| 523 | C24 | C2×C4×D4 | 1 | 36 | yes | — |
| 524 | C24 | C24×C4 | 1 | 1 | yes | characteristic |
| 525 | C24 | C24×C4 | 1 | 3 | yes | — |
| 526 | C24 | C24×C4 | 1 | 3 | yes | — |
| 527 | #41 | — | 2 | 64 | no | — |
| 528 | #41 | — | 2 | 576 | no | — |
| 529 | #41 | — | 2 | 192 | no | — |
| 530 | #41 | — | 2 | 576 | no | — |
| 531 | #41 | — | 2 | 192 | no | — |
| 532 | #41 | — | 2 | 96 | no | — |
| 533 | #41 | — | 2 | 288 | no | — |
| 534 | #41 | — | 2 | 24 | no | — |
| 535 | #41 | — | 2 | 24 | no | — |
| 536 | #41 | — | 2 | 192 | no | — |
| 537 | #41 | — | 2 | 144 | no | — |
| 538 | #41 | — | 2 | 72 | no | — |
| 539 | #41 | — | 2 | 72 | no | — |
| 540 | #41 | — | 2 | 144 | no | — |
| 541 | #41 | — | 4 | 16 | no | — |
| 542 | #41 | — | 4 | 48 | no | — |
| 543 | #41 | — | 4 | 12 | no | — |
| 544 | #41 | — | 4 | 36 | no | — |
| 545 | #41 | C2×#120 | 1 | 16 | yes | — |
| 546 | #41 | #525 | 1 | 48 | yes | — |
| 547 | C2×Q8 | — | 2 | 96 | no | — |
| 548 | C2×Q8 | — | 2 | 288 | no | — |
| 549 | C2×Q8 | — | 2 | 48 | no | — |
| 550 | C2×Q8 | — | 2 | 96 | no | — |
| 551 | C2×Q8 | — | 2 | 18 | no | — |
| 552 | C2×Q8 | — | 2 | 72 | no | — |
| 553 | C2×Q8 | — | 4 | 16 | no | — |
| 554 | C2×Q8 | C2×C4×D4 | 1 | 36 | yes | — |
| 555 | C2×Q8 | C2×C4×D4 | 1 | 12 | yes | — |
| 556 | C2×Q8 | C22×#41 | 1 | 12 | yes | — |
| 557 | C2×D4 | — | 2 | 576 | no | — |
| 558 | C2×D4 | — | 2 | 144 | no | — |
| 559 | C2×D4 | — | 2 | 96 | no | — |
| 560 | C2×D4 | — | 2 | 288 | no | — |
| 561 | C2×D4 | — | 2 | 192 | no | — |
| 562 | C2×D4 | — | 2 | 144 | no | — |
| 563 | C2×D4 | — | 2 | 288 | no | — |
| 564 | C2×D4 | — | 2 | 24 | no | — |
| 565 | C2×D4 | — | 2 | 36 | no | — |
| 566 | C2×D4 | — | 2 | 72 | no | — |
| 567 | C2×D4 | — | 2 | 18 | no | — |
| 568 | C2×D4 | — | 2 | 72 | no | — |
| 569 | C2×D4 | — | 4 | 48 | no | — |
| 570 | C2×D4 | — | 8 | 72 | no | — |
| 571 | C2×D4 | C2×C4×D4 | 1 | 72 | yes | — |
| 572 | C2×D4 | C2×C4×D4 | 1 | 36 | yes | — |
| 573 | C2×D4 | C2×C4×D4 | 1 | 36 | yes | — |
| 574 | C2×D4 | C24×C4 | 1 | 24 | yes | — |
| 575 | C2×D4 | C22×#41 | 1 | 12 | yes | — |
| 576 | C22×C4 | — | 2 | 64 | no | — |
| 577 | C22×C4 | — | 2 | 144 | no | — |
| 578 | C22×C4 | — | 2 | 192 | no | — |
| 579 | C22×C4 | — | 2 | 72 | no | — |
| 580 | C22×C4 | — | 2 | 72 | no | — |
| 581 | C22×C4 | — | 2 | 18 | no | — |
| 582 | C22×C4 | — | 2 | 36 | no | — |
| 583 | C22×C4 | — | 2 | 3 | no | — |
| 584 | C22×C4 | — | 2 | 9 | no | — |
| 585 | C22×C4 | — | 2 | 3 | no | — |
| 586 | C22×C4 | — | 2 | 9 | no | — |
| 587 | C22×C4 | — | 2 | 18 | no | — |
| 588 | C22×C4 | — | 2 | 18 | no | — |
| 589 | C22×C4 | — | 4 | 12 | no | — |
| 590 | C22×C4 | — | 4 | 36 | no | — |
| 591 | C22×C4 | C2×C4×D4 | 1 | 36 | yes | — |
| 592 | C22×C4 | C2×C4×D4 | 1 | 72 | yes | — |
| 593 | C22×C4 | C24×C4 | 1 | 1 | yes | characteristic |
| 594 | C22×C4 | C24×C4 | 1 | 3 | yes | — |
| 595 | C22×C4 | C24×C4 | 1 | 3 | yes | — |
| 596 | C22×C4 | C23×D4 | 1 | 24 | yes | — |
| 597 | C22×C4 | C23×D4 | 1 | 18 | yes | — |
| 598 | C22×C4 | C22×#41 | 1 | 18 | yes | — |
| 599 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 600 | M16 | — | 2 | 192 | no | — |
| 601 | M16 | — | 2 | 24 | no | — |
| 602 | M16 | — | 2 | 72 | no | — |
| 603 | M16 | — | 2 | 144 | no | — |
| 604 | M16 | — | 2 | 48 | no | — |
| 605 | M16 | — | 2 | 24 | no | — |
| 606 | M16 | — | 4 | 12 | no | — |
| 607 | M16 | — | 4 | 36 | no | — |
| 608 | M16 | — | 4 | 24 | no | — |
| 609 | M16 | C2×#120 | 1 | 48 | yes | — |
| 610 | C2×C8 | — | 2 | 192 | no | — |
| 611 | C2×C8 | — | 2 | 72 | no | — |
| 612 | C2×C8 | — | 2 | 144 | no | — |
| 613 | C2×C8 | — | 2 | 24 | no | — |
| 614 | C2×C8 | — | 2 | 24 | no | — |
| 615 | C2×C8 | — | 2 | 12 | no | — |
| 616 | C2×C8 | — | 2 | 3 | no | — |
| 617 | C2×C8 | — | 2 | 9 | no | — |
| 618 | C2×C8 | — | 4 | 12 | no | — |
| 619 | C2×C8 | — | 4 | 36 | no | — |
| 620 | C2×C8 | — | 4 | 3 | no | — |
| 621 | C2×C8 | — | 4 | 12 | no | — |
| 622 | C2×C8 | — | 4 | 12 | no | — |
| 623 | C2×C8 | — | 4 | 9 | no | — |
| 624 | C2×C8 | — | 4 | 1 | no | — |
| 625 | C2×C8 | — | 4 | 3 | no | — |
| 626 | C2×C8 | C2×#120 | 1 | 36 | yes | — |
| 627 | C2×C8 | C2×#120 | 1 | 12 | yes | — |
| 628 | C2×C8 | C23×D4 | 1 | 24 | yes | — |
| 629 | C2×C8 | C23×D4 | 1 | 18 | yes | — |
| 630 | C2×C8 | C23×D4 | 1 | 3 | yes | — |
| 631 | C2×C8 | C23×D4 | 1 | 3 | yes | — |
| 632 | C4⋊C4 | — | 2 | 12 | no | — |
| 633 | C4⋊C4 | — | 2 | 24 | no | — |
| 634 | C4⋊C4 | — | 2 | 36 | no | — |
| 635 | C4⋊C4 | — | 2 | 72 | no | — |
| 636 | C22⋊C4 | — | 2 | 24 | no | — |
| 637 | C22⋊C4 | — | 2 | 72 | no | — |
| 638 | C22⋊C4 | — | 2 | 36 | no | — |
| 639 | C22⋊C4 | — | 2 | 24 | no | — |
| 640 | C22⋊C4 | — | 2 | 72 | no | — |
| 641 | C22⋊C4 | C24×C4 | 1 | 24 | yes | — |
| 642 | C42 | — | 2 | 12 | no | — |
| 643 | C42 | — | 2 | 36 | no | — |
| 644 | C23 | — | 2 | 64 | no | — |
| 645 | C23 | — | 2 | 3 | no | — |
| 646 | C23 | — | 2 | 72 | no | — |
| 647 | C23 | — | 2 | 9 | no | — |
| 648 | C23 | — | 4 | 2 | no | — |
| 649 | C23 | — | 4 | 36 | no | — |
| 650 | C23 | — | 4 | 12 | no | — |
| 651 | C23 | — | 8 | 3 | no | — |
| 652 | C23 | — | 8 | 3 | no | — |
| 653 | C23 | — | 8 | 36 | no | — |
| 654 | C23 | — | 8 | 18 | no | — |
| 655 | C23 | — | 16 | 48 | no | — |
| 656 | C23 | C22×C4×D4 | 1 | 24 | yes | — |
| 657 | C23 | C22×C4×D4 | 1 | 18 | yes | — |
| 658 | C23 | C25×C4 | 1 | 1 | yes | characteristic |
| 659 | Q8 | — | 2 | 64 | no | — |
| 660 | Q8 | — | 2 | 24 | no | — |
| 661 | Q8 | — | 2 | 72 | no | — |
| 662 | Q8 | — | 4 | 12 | no | — |
| 663 | Q8 | C4×#120 | 1 | 16 | yes | — |
| 664 | D4 | — | 2 | 192 | no | — |
| 665 | D4 | — | 2 | 48 | no | — |
| 666 | D4 | — | 2 | 144 | no | — |
| 667 | D4 | — | 2 | 24 | no | — |
| 668 | D4 | — | 2 | 72 | no | — |
| 669 | D4 | — | 4 | 48 | no | — |
| 670 | D4 | — | 4 | 24 | no | — |
| 671 | D4 | — | 4 | 12 | no | — |
| 672 | D4 | — | 8 | 72 | no | — |
| 673 | D4 | C4×#120 | 1 | 48 | yes | — |
| 674 | C2×C4 | — | 2 | 192 | no | — |
| 675 | C2×C4 | — | 2 | 72 | no | — |
| 676 | C2×C4 | — | 2 | 24 | no | — |
| 677 | C2×C4 | — | 2 | 24 | no | — |
| 678 | C2×C4 | — | 2 | 144 | no | — |
| 679 | C2×C4 | — | 2 | 24 | no | — |
| 680 | C2×C4 | — | 2 | 3 | no | — |
| 681 | C2×C4 | — | 2 | 9 | no | — |
| 682 | C2×C4 | — | 4 | 12 | no | — |
| 683 | C2×C4 | — | 4 | 1 | no | — |
| 684 | C2×C4 | — | 4 | 3 | no | — |
| 685 | C2×C4 | — | 4 | 3 | no | — |
| 686 | C2×C4 | — | 4 | 9 | no | — |
| 687 | C2×C4 | — | 4 | 12 | no | — |
| 688 | C2×C4 | — | 4 | 12 | no | — |
| 689 | C2×C4 | — | 8 | 36 | no | — |
| 690 | C2×C4 | C22×C4×D4 | 1 | 24 | yes | — |
| 691 | C2×C4 | C22×C4×D4 | 1 | 18 | yes | — |
| 692 | C2×C4 | C22×#120 | 1 | 12 | yes | — |
| 693 | C2×C4 | C2×#525 | 1 | 36 | yes | — |
| 694 | C2×C4 | C24×D4 | 1 | 3 | yes | — |
| 695 | C2×C4 | C23×#41 | 1 | 3 | yes | — |
| 696 | C8 | — | 2 | 24 | no | — |
| 697 | C8 | — | 4 | 1 | no | — |
| 698 | C8 | — | 4 | 3 | no | — |
| 699 | C8 | — | 4 | 12 | no | — |
| 700 | C8 | C22×#120 | 1 | 12 | yes | — |
| 701 | C8 | C22×#120 | 1 | 3 | yes | — |
| 702 | C8 | C22×#120 | 1 | 1 | yes | characteristic |
| 703 | C22 | — | 2 | 6 | no | — |
| 704 | C22 | — | 2 | 24 | no | — |
| 705 | C22 | — | 4 | 18 | no | — |
| 706 | C22 | — | 4 | 1 | no | — |
| 707 | C22 | — | 4 | 24 | no | — |
| 708 | C22 | — | 4 | 3 | no | — |
| 709 | C22 | — | 4 | 18 | no | — |
| 710 | C22 | — | 4 | 1 | no | — |
| 711 | C22 | — | 4 | 3 | no | — |
| 712 | C22 | — | 8 | 72 | no | — |
| 713 | C22 | — | 8 | 24 | no | — |
| 714 | C22 | — | 8 | 64 | no | — |
| 715 | C22 | C2×C4×#120 | 1 | 12 | yes | — |
| 716 | C22 | C23×C4×D4 | 1 | 3 | yes | — |
| 717 | C4 | — | 2 | 24 | no | — |
| 718 | C4 | — | 4 | 24 | no | — |
| 719 | C4 | — | 4 | 1 | no | — |
| 720 | C4 | — | 4 | 3 | no | — |
| 721 | C4 | C2×C4×#120 | 1 | 12 | yes | — |
| 722 | C4 | C23×#120 | 1 | 1 | yes | characteristic |
| 723 | C4 | C22×#525 | 1 | 3 | yes | — |
| 724 | C2 | — | 2 | 3 | no | — |
| 725 | C2 | — | 2 | 12 | no | — |
| 726 | C2 | — | 4 | 2 | no | — |
| 727 | C2 | — | 4 | 24 | no | — |
| 728 | C2 | — | 8 | 3 | no | — |
| 729 | C2 | C22×C4×#120 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C8 | C22×#120 |
| commutator | C23 | C25×C4 |
| Frattini, cosocle | C22×C4 | C26 |
| socle | C2 | C22×C4×#120 |
| prime radical | #10574874 | C2 |
| LCS | G ▷ C23 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C8 ◁ C22×#131 ◁ G | |
| LECS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10586984 | C2 | semidirect |
| 3. #10574203 | C2 | semidirect |
| 4. #6372744 | C2 | semidirect |
| 5. #6372743 | C2 | semidirect |
| 6. #6372742 | C2 | semidirect |
| 7. C2×#21483 | C2 | semidirect |
| 8. #6371562 | C2 | semidirect |
| 9. #6371341 | C2 | semidirect |
| 10. #6370739 | C2 | semidirect |
| 11. #6369831 | C2 | semidirect |
| 15. #63076 | C22 | semidirect |
| 18. C2×#3573 | C22 | semidirect |
| 19. C23×#131 | C22 | semidirect |
| 29. #60142 | C22 | semidirect |
| 30. #60141 | C22 | semidirect |
| 31. #60140 | C22 | semidirect |
| 32. C2×#2929 | C22 | semidirect |
| 33. #60100 | C22 | semidirect |
| 37. #60064 | C22 | semidirect |
| 38. #60058 | C22 | semidirect |
| 39. #21484 | C22 | semidirect |
| 40. #21483 | C22 | semidirect |
| 41. #21483 | C22 | semidirect |
| 42. #21483 | C22 | semidirect |
| 43. #21483 | C22 | semidirect |
| 44. #20964 | C22 | semidirect |
| 45. C2×#1891 | C22 | semidirect |
| 46. #20892 | C22 | semidirect |
| 47. C2×#1868 | C22 | semidirect |
| 48. #20612 | C22 | semidirect |
| 49. C2×#1791 | C22 | semidirect |
| 50. #20401 | C22 | semidirect |
| 51. C2×#1757 | C22 | semidirect |
| 52. #20360 | C22 | semidirect |
| 75. C2×#568 | D4 | semidirect |
| 84. C22×#131 | D4 | semidirect |
| 88. C22×#131 | C23 | semidirect |
| 89. C22×#131 | C23 | semidirect |
| 90. C23×M16 | C23 | semidirect |
| 91. C24×C8 | C23 | semidirect |
| 118. #2930 | C23 | semidirect |
| 122. #2929 | C23 | semidirect |
| 123. #2929 | C23 | semidirect |
| 124. #2929 | C23 | semidirect |
| 125. #2929 | C23 | semidirect |
| 129. #2905 | C23 | semidirect |
| 130. C2×#424 | C23 | semidirect |
| 140. #2879 | C23 | semidirect |
| 142. C2×#407 | C23 | semidirect |
| 145. #2873 | C23 | semidirect |
| 146. C2×#405 | C23 | semidirect |
| 147. #1891 | C23 | semidirect |
| 148. #1891 | C23 | semidirect |
| 149. #1868 | C23 | semidirect |
| 150. #1868 | C23 | semidirect |
| 153. #1757 | C23 | semidirect |
| 154. #1757 | C23 | semidirect |
| 155. C2×#344 | C23 | semidirect |
| 226. C2×#131 | C2×D4 | semidirect |
| 227. C2×#131 | C2×D4 | semidirect |
| 228. C2×#131 | C2×D4 | semidirect |
| 235. C22×M16 | C2×D4 | semidirect |
| 236. C22×M16 | C2×D4 | semidirect |
| 245. C23×C8 | C2×D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10586984 | 2 |
| #10574874 | 2 |
| #10574203 | 2 |
| #6372744 | 2 |
| #6372743 | 2 |
| #6372742 | 2 |
| C2×#21483 | 2 |
| #6371562 | 2 |
| #6371341 | 2 |
| #6370739 | 2 |
| #6369831 | 2 |