Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
1500 conjugacy classes of subgroups.
The subgroup lattice has 738 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #6357864 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #512616 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #512615 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #153539 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #153537 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #153524 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #153509 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #62541 | — | 2 | 1 | no | — |
| 9 | #62423 | — | 2 | 1 | no | — |
| 10 | #60714 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #60646 | C22 | 1 | 1 | yes | characteristic |
| 12 | #33360 | — | 2 | 1 | no | — |
| 13 | #33359 | — | 2 | 1 | no | — |
| 14 | #19750 | C4 | 1 | 2 | yes | complemented |
| 15 | #19745 | C22 | 1 | 2 | yes | — |
| 16 | #19727 | C22 | 1 | 2 | yes | — |
| 17 | #19721 | C4 | 1 | 2 | yes | complemented |
| 18 | #19689 | — | 2 | 2 | no | — |
| 19 | #19677 | — | 2 | 1 | no | — |
| 20 | #19676 | — | 2 | 1 | no | — |
| 21 | #19671 | — | 2 | 2 | no | — |
| 22 | #19661 | C22 | 1 | 1 | yes | characteristic |
| 23 | #19651 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#1721 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | #19608 | C22 | 1 | 1 | yes | characteristic |
| 26 | #17336 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #13586 | — | 2 | 1 | no | — |
| 28 | #13585 | — | 2 | 1 | no | — |
| 29 | #13585 | C22 | 1 | 4 | yes | complemented |
| 30 | #13584 | C22 | 1 | 4 | yes | complemented |
| 31 | #13583 | — | 2 | 2 | no | — |
| 32 | #13583 | C22 | 1 | 2 | yes | — |
| 33 | #13583 | C22 | 1 | 2 | yes | — |
| 34 | C2×#1409 | — | 2 | 2 | no | — |
| 35 | #7533 | C22 | 1 | 4 | yes | complemented |
| 36 | #7533 | C22 | 1 | 4 | yes | complemented |
| 37 | #7529 | C22 | 1 | 8 | yes | complemented |
| 38 | C2×#577 | — | 4 | 1 | no | — |
| 39 | #3508 | — | 2 | 1 | no | — |
| 40 | #3499 | D4 | 1 | 1 | yes | characteristic |
| 41 | #3498 | D4 | 1 | 1 | yes | characteristic |
| 42 | #3399 | — | 4 | 2 | no | — |
| 43 | #3373 | — | 4 | 2 | no | — |
| 44 | #3332 | — | 4 | 2 | no | — |
| 45 | #3306 | — | 4 | 4 | no | — |
| 46 | #3274 | — | 4 | 2 | no | — |
| 47 | #3264 | — | 4 | 4 | no | — |
| 48 | #3229 | — | 2 | 1 | no | — |
| 49 | #3227 | — | 2 | 2 | no | — |
| 50 | #3208 | — | 2 | 1 | no | — |
| 51 | #3207 | — | 2 | 2 | no | — |
| 52 | #3207 | — | 2 | 2 | no | — |
| 53 | #3205 | — | 2 | 1 | no | — |
| 54 | #3205 | — | 2 | 1 | no | — |
| 55 | #3205 | — | 2 | 2 | no | — |
| 56 | #3184 | — | 2 | 2 | no | — |
| 57 | #3184 | — | 2 | 2 | no | — |
| 58 | #3184 | C2×C4 | 1 | 2 | yes | complemented |
| 59 | #3184 | C2×C4 | 1 | 2 | yes | complemented |
| 60 | #3176 | — | 4 | 2 | no | — |
| 61 | #3169 | — | 2 | 2 | no | — |
| 62 | #3167 | — | 2 | 1 | no | — |
| 63 | #3167 | — | 2 | 1 | no | — |
| 64 | #3160 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 65 | #3154 | — | 4 | 2 | no | — |
| 66 | #3154 | — | 4 | 1 | no | — |
| 67 | #3152 | C2×C4 | 1 | 2 | yes | — |
| 68 | #3152 | D4 | 1 | 1 | yes | characteristic |
| 69 | #3151 | — | 2 | 2 | no | — |
| 70 | #3151 | D4 | 1 | 1 | yes | characteristic |
| 71 | #3151 | C23 | 1 | 2 | yes | — |
| 72 | #3147 | D4 | 1 | 2 | yes | — |
| 73 | #3147 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×#493 | — | 2 | 1 | no | — |
| 75 | C2×#493 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 76 | C2×#492 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C2×#492 | D4 | 1 | 2 | yes | — |
| 78 | #3141 | — | 2 | 2 | no | — |
| 79 | #3138 | — | 2 | 1 | no | — |
| 80 | C2×#486 | — | 2 | 1 | no | — |
| 81 | #3058 | — | 4 | 1 | no | — |
| 82 | #2965 | — | 2 | 1 | no | — |
| 83 | #2948 | — | 4 | 1 | no | — |
| 84 | #2884 | — | 4 | 1 | no | — |
| 85 | #2883 | — | 4 | 1 | no | — |
| 86 | C4×#131 | C2×C4 | 1 | 1 | yes | characteristic |
| 87 | #2129 | — | 4 | 1 | no | — |
| 88 | #2129 | — | 4 | 2 | no | — |
| 89 | #2128 | — | 4 | 1 | no | — |
| 90 | #2127 | — | 4 | 2 | no | — |
| 91 | #2126 | — | 2 | 4 | no | — |
| 92 | #2126 | — | 2 | 2 | no | — |
| 93 | #2126 | — | 2 | 2 | no | — |
| 94 | C2×#353 | — | 2 | 4 | no | — |
| 95 | #1721 | — | 2 | 2 | no | — |
| 96 | #1721 | — | 2 | 2 | no | — |
| 97 | #1721 | — | 2 | 2 | no | — |
| 98 | #1721 | — | 2 | 1 | no | — |
| 99 | #1721 | — | 2 | 1 | no | — |
| 100 | #1721 | C2×C4 | 1 | 2 | yes | complemented |
| 101 | #1721 | C2×C4 | 1 | 2 | yes | complemented |
| 102 | #1720 | — | 2 | 2 | no | — |
| 103 | #1720 | — | 2 | 2 | no | — |
| 104 | #1717 | — | 2 | 2 | no | — |
| 105 | #1717 | — | 2 | 2 | no | — |
| 106 | #1716 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 107 | #1716 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 108 | #1715 | — | 2 | 2 | no | — |
| 109 | #1715 | — | 2 | 2 | no | — |
| 110 | #1715 | C23 | 1 | 1 | yes | characteristic |
| 111 | #1715 | C23 | 1 | 1 | yes | characteristic |
| 112 | #1714 | — | 2 | 2 | no | — |
| 113 | #1714 | — | 2 | 1 | no | — |
| 114 | #1714 | — | 2 | 1 | no | — |
| 115 | #1712 | C23 | 1 | 2 | yes | — |
| 116 | #1709 | C2×C4 | 1 | 2 | yes | complemented |
| 117 | #1708 | C2×C4 | 1 | 2 | yes | complemented |
| 118 | #1705 | C2×C4 | 1 | 2 | yes | complemented |
| 119 | #1455 | C2×C4 | 1 | 2 | yes | complemented |
| 120 | #1453 | C2×C4 | 1 | 2 | yes | complemented |
| 121 | #1451 | — | 2 | 1 | no | — |
| 122 | #1451 | — | 2 | 2 | no | — |
| 123 | #1450 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 124 | C2×#322 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 125 | #1409 | — | 2 | 2 | no | — |
| 126 | #1409 | — | 2 | 4 | no | — |
| 127 | #1409 | — | 2 | 2 | no | — |
| 128 | #1408 | — | 2 | 4 | no | — |
| 129 | #1408 | C23 | 1 | 4 | yes | — |
| 130 | #1408 | C23 | 1 | 4 | yes | — |
| 131 | C2×2−1+4 | — | 2 | 1 | no | — |
| 132 | C2×H(5,𝔽2) | — | 2 | 1 | no | — |
| 133 | #577 | — | 8 | 8 | no | — |
| 134 | C2×#137 | — | 4 | 2 | no | — |
| 135 | C2×#137 | — | 4 | 1 | no | — |
| 136 | C2×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 137 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 138 | C2×AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 139 | C2×#135 | — | 4 | 2 | no | — |
| 140 | C2×#135 | — | 4 | 1 | no | — |
| 141 | C22×SD16 | — | 4 | 1 | no | — |
| 142 | C22×SD16 | — | 4 | 2 | no | — |
| 143 | C22×D8 | — | 4 | 1 | no | — |
| 144 | C22×D8 | — | 4 | 2 | no | — |
| 145 | C2×#131 | — | 2 | 1 | no | — |
| 146 | #559 | — | 4 | 1 | no | — |
| 147 | #559 | — | 4 | 1 | no | — |
| 148 | #550 | — | 4 | 1 | no | — |
| 149 | #550 | — | 4 | 1 | no | — |
| 150 | #550 | — | 4 | 1 | no | — |
| 151 | D4×Q8 | — | 4 | 1 | no | — |
| 152 | #547 | — | 4 | 1 | no | — |
| 153 | #547 | — | 4 | 2 | no | — |
| 154 | #546 | — | 4 | 2 | no | — |
| 155 | #546 | — | 4 | 2 | no | — |
| 156 | D42 | — | 4 | 2 | no | — |
| 157 | D42 | — | 4 | 1 | no | — |
| 158 | #540 | — | 4 | 2 | no | — |
| 159 | #536 | — | 2 | 1 | no | — |
| 160 | #536 | — | 2 | 2 | no | — |
| 161 | #535 | — | 2 | 2 | no | — |
| 162 | #535 | — | 2 | 1 | no | — |
| 163 | #535 | — | 4 | 1 | no | — |
| 164 | #533 | — | 2 | 1 | no | — |
| 165 | #532 | — | 2 | 2 | no | — |
| 166 | #532 | — | 2 | 2 | no | — |
| 167 | #532 | C22⋊C4 | 1 | 2 | yes | — |
| 168 | #532 | C2×D4 | 1 | 2 | yes | — |
| 169 | #532 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | #532 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C2×C4⋊Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 172 | C2×C4⋊Q8 | C22⋊C4 | 1 | 2 | yes | — |
| 173 | C2×#127 | — | 2 | 1 | no | — |
| 174 | C2×#127 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 175 | C2×#127 | C2×D4 | 1 | 2 | yes | — |
| 176 | #519 | — | 8 | 1 | no | — |
| 177 | #518 | — | 4 | 1 | no | — |
| 178 | #518 | — | 8 | 1 | no | — |
| 179 | C4×#41 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 180 | #500 | — | 2 | 1 | no | — |
| 181 | #499 | — | 4 | 1 | no | — |
| 182 | #498 | — | 2 | 1 | no | — |
| 183 | #498 | — | 2 | 1 | no | — |
| 184 | #498 | — | 2 | 2 | no | — |
| 185 | #498 | C22×C4 | 1 | 1 | yes | characteristic |
| 186 | #498 | C22×C4 | 1 | 1 | yes | characteristic |
| 187 | #497 | — | 4 | 2 | no | — |
| 188 | #497 | — | 4 | 1 | no | — |
| 189 | #496 | — | 4 | 1 | no | — |
| 190 | #496 | — | 4 | 2 | no | — |
| 191 | #496 | — | 4 | 4 | no | — |
| 192 | #495 | — | 4 | 2 | no | — |
| 193 | #495 | — | 4 | 1 | no | — |
| 194 | #494 | C22⋊C4 | 1 | 2 | yes | — |
| 195 | #494 | C22×C4 | 1 | 1 | yes | characteristic |
| 196 | #493 | — | 2 | 2 | no | — |
| 197 | #493 | — | 2 | 2 | no | — |
| 198 | #493 | — | 2 | 2 | no | — |
| 199 | #493 | — | 2 | 2 | no | — |
| 200 | #493 | — | 2 | 1 | no | — |
| 201 | #493 | — | 4 | 2 | no | — |
| 202 | #493 | — | 4 | 1 | no | — |
| 203 | #493 | C22×C4 | 1 | 2 | yes | — |
| 204 | #493 | C2×D4 | 1 | 2 | yes | — |
| 205 | #493 | C24 | 1 | 1 | yes | characteristic |
| 206 | #492 | — | 2 | 2 | no | — |
| 207 | #492 | — | 2 | 1 | no | — |
| 208 | #492 | — | 2 | 1 | no | — |
| 209 | #492 | — | 4 | 1 | no | — |
| 210 | #492 | — | 4 | 2 | no | — |
| 211 | #492 | C22⋊C4 | 1 | 2 | yes | — |
| 212 | #492 | C22⋊C4 | 1 | 2 | yes | — |
| 213 | #492 | C22×C4 | 1 | 2 | yes | — |
| 214 | #492 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | #492 | C2×D4 | 1 | 2 | yes | — |
| 216 | #492 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | #490 | — | 4 | 2 | no | — |
| 218 | #489 | — | 4 | 4 | no | — |
| 219 | #487 | — | 2 | 1 | no | — |
| 220 | #487 | — | 2 | 2 | no | — |
| 221 | #487 | — | 2 | 1 | no | — |
| 222 | #486 | — | 2 | 2 | no | — |
| 223 | #486 | — | 2 | 2 | no | — |
| 224 | #486 | — | 2 | 2 | no | — |
| 225 | #486 | — | 2 | 2 | no | — |
| 226 | #486 | — | 2 | 2 | no | — |
| 227 | #486 | — | 2 | 1 | no | — |
| 228 | #486 | — | 2 | 1 | no | — |
| 229 | #486 | — | 2 | 2 | no | — |
| 230 | #486 | — | 2 | 2 | no | — |
| 231 | #486 | — | 4 | 2 | no | — |
| 232 | #483 | — | 4 | 2 | no | — |
| 233 | #481 | — | 4 | 4 | no | — |
| 234 | #476 | — | 4 | 4 | no | — |
| 235 | #475 | — | 4 | 2 | no | — |
| 236 | #469 | — | 4 | 4 | no | — |
| 237 | #469 | — | 4 | 4 | no | — |
| 238 | #469 | — | 4 | 2 | no | — |
| 239 | #469 | — | 4 | 2 | no | — |
| 240 | #466 | — | 4 | 4 | no | — |
| 241 | #465 | — | 4 | 2 | no | — |
| 242 | #465 | — | 4 | 2 | no | — |
| 243 | #463 | — | 4 | 4 | no | — |
| 244 | #463 | — | 4 | 4 | no | — |
| 245 | #460 | — | 4 | 2 | no | — |
| 246 | #459 | — | 4 | 2 | no | — |
| 247 | #459 | — | 4 | 4 | no | — |
| 248 | #459 | — | 4 | 2 | no | — |
| 249 | #450 | — | 4 | 2 | no | — |
| 250 | #449 | — | 4 | 4 | no | — |
| 251 | #449 | — | 4 | 4 | no | — |
| 252 | #447 | — | 4 | 2 | no | — |
| 253 | #447 | — | 4 | 4 | no | — |
| 254 | #447 | — | 4 | 2 | no | — |
| 255 | #446 | — | 2 | 2 | no | — |
| 256 | #442 | — | 4 | 4 | no | — |
| 257 | #442 | — | 4 | 4 | no | — |
| 258 | #442 | — | 4 | 2 | no | — |
| 259 | #442 | — | 4 | 2 | no | — |
| 260 | C4×SD16 | — | 4 | 2 | no | — |
| 261 | C4×SD16 | — | 4 | 2 | no | — |
| 262 | C4×D8 | — | 4 | 4 | no | — |
| 263 | #436 | — | 2 | 2 | no | — |
| 264 | #435 | — | 2 | 4 | no | — |
| 265 | #431 | — | 2 | 1 | no | — |
| 266 | #431 | — | 2 | 2 | no | — |
| 267 | #427 | — | 4 | 1 | no | — |
| 268 | #418 | — | 4 | 2 | no | — |
| 269 | #417 | — | 4 | 4 | no | — |
| 270 | C2×#102 | — | 4 | 2 | no | — |
| 271 | #410 | — | 4 | 2 | no | — |
| 272 | #410 | — | 4 | 4 | no | — |
| 273 | #410 | — | 4 | 2 | no | — |
| 274 | #410 | — | 8 | 1 | no | — |
| 275 | #410 | — | 8 | 2 | no | — |
| 276 | #410 | — | 8 | 1 | no | — |
| 277 | C2×#99 | — | 4 | 4 | no | — |
| 278 | C2×#99 | — | 8 | 2 | no | — |
| 279 | #405 | — | 2 | 2 | no | — |
| 280 | #405 | — | 2 | 1 | no | — |
| 281 | C4×M16 | — | 2 | 2 | no | — |
| 282 | C4×M16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 283 | C4×M16 | C22×C4 | 1 | 2 | yes | — |
| 284 | C2×C4×C8 | — | 2 | 1 | no | — |
| 285 | C2×C4×C8 | C22⋊C4 | 1 | 2 | yes | — |
| 286 | C2×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 287 | #354 | — | 4 | 2 | no | — |
| 288 | #354 | — | 4 | 4 | no | — |
| 289 | #354 | — | 4 | 2 | no | — |
| 290 | #353 | — | 2 | 4 | no | — |
| 291 | #353 | — | 2 | 4 | no | — |
| 292 | #353 | — | 4 | 4 | no | — |
| 293 | #322 | — | 2 | 1 | no | — |
| 294 | #322 | — | 2 | 1 | no | — |
| 295 | #322 | — | 2 | 2 | no | — |
| 296 | #322 | — | 2 | 2 | no | — |
| 297 | #322 | C22×C4 | 1 | 1 | yes | characteristic |
| 298 | #322 | C22×C4 | 1 | 1 | yes | characteristic |
| 299 | C82 | C22×C4 | 1 | 2 | yes | — |
| 300 | 2−1+4 | — | 8 | 4 | no | — |
| 301 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 302 | C2×#41 | — | 2 | 2 | no | — |
| 303 | C2×#41 | — | 2 | 1 | no | — |
| 304 | C2×#41 | — | 2 | 2 | no | — |
| 305 | C2×#41 | — | 2 | 1 | no | — |
| 306 | C2×#41 | — | 4 | 2 | no | — |
| 307 | C2×#41 | — | 4 | 2 | no | — |
| 308 | C2×#41 | — | 4 | 1 | no | — |
| 309 | C2×#41 | — | 4 | 2 | no | — |
| 310 | C2×#41 | — | 4 | 1 | no | — |
| 311 | C2×#41 | #99 | 1 | 1 | yes | characteristic |
| 312 | C22×Q8 | — | 2 | 1 | no | — |
| 313 | C22×Q8 | — | 2 | 2 | no | — |
| 314 | C22×Q8 | — | 4 | 1 | no | — |
| 315 | C22×D4 | — | 2 | 1 | no | — |
| 316 | C22×D4 | — | 2 | 2 | no | — |
| 317 | C22×D4 | — | 4 | 1 | no | — |
| 318 | C22×D4 | — | 4 | 2 | no | — |
| 319 | C22×D4 | — | 4 | 1 | no | — |
| 320 | C22×D4 | — | 4 | 1 | no | — |
| 321 | C22×D4 | — | 4 | 1 | no | — |
| 322 | C22×D4 | — | 4 | 2 | no | — |
| 323 | C22×D4 | — | 4 | 1 | no | — |
| 324 | #137 | — | 8 | 8 | no | — |
| 325 | #137 | — | 8 | 4 | no | — |
| 326 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 327 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 328 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 329 | #135 | — | 8 | 4 | no | — |
| 330 | #135 | — | 8 | 8 | no | — |
| 331 | C2×Q16 | — | 4 | 2 | no | — |
| 332 | C2×Q16 | — | 4 | 1 | no | — |
| 333 | C2×SD16 | — | 4 | 2 | no | — |
| 334 | C2×SD16 | — | 4 | 1 | no | — |
| 335 | C2×SD16 | — | 4 | 2 | no | — |
| 336 | C2×SD16 | — | 4 | 2 | no | — |
| 337 | C2×SD16 | — | 4 | 2 | no | — |
| 338 | C2×SD16 | — | 4 | 1 | no | — |
| 339 | C2×SD16 | — | 4 | 2 | no | — |
| 340 | C2×SD16 | — | 4 | 4 | no | — |
| 341 | C2×SD16 | — | 4 | 2 | no | — |
| 342 | C2×SD16 | — | 8 | 4 | no | — |
| 343 | C2×SD16 | — | 8 | 8 | no | — |
| 344 | C2×D8 | — | 4 | 2 | no | — |
| 345 | C2×D8 | — | 4 | 1 | no | — |
| 346 | C2×D8 | — | 4 | 2 | no | — |
| 347 | C2×D8 | — | 4 | 4 | no | — |
| 348 | C2×D8 | — | 4 | 2 | no | — |
| 349 | C2×D8 | — | 4 | 4 | no | — |
| 350 | C2×D8 | — | 4 | 4 | no | — |
| 351 | C2×D8 | — | 4 | 4 | no | — |
| 352 | C2×D8 | — | 8 | 4 | no | — |
| 353 | C2×D8 | — | 16 | 4 | no | — |
| 354 | #131 | — | 4 | 4 | no | — |
| 355 | C2×M16 | — | 2 | 1 | no | — |
| 356 | C2×M16 | — | 2 | 2 | no | — |
| 357 | C2×M16 | — | 2 | 4 | no | — |
| 358 | C22×C8 | — | 2 | 1 | no | — |
| 359 | C22×C8 | — | 2 | 2 | no | — |
| 360 | C22×C8 | — | 2 | 2 | no | — |
| 361 | C4⋊Q8 | — | 2 | 1 | no | — |
| 362 | C4⋊Q8 | — | 2 | 1 | no | — |
| 363 | C4⋊Q8 | — | 2 | 2 | no | — |
| 364 | C4⋊Q8 | — | 2 | 1 | no | — |
| 365 | C4⋊Q8 | — | 4 | 1 | no | — |
| 366 | C4⋊Q8 | — | 4 | 2 | no | — |
| 367 | C4⋊Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 368 | C4⋊Q8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 369 | C4⋊Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 370 | #127 | — | 2 | 2 | no | — |
| 371 | #127 | — | 2 | 1 | no | — |
| 372 | #127 | — | 2 | 2 | no | — |
| 373 | #127 | — | 4 | 1 | no | — |
| 374 | #127 | — | 4 | 2 | no | — |
| 375 | #127 | — | 4 | 1 | no | — |
| 376 | #127 | — | 4 | 1 | no | — |
| 377 | #127 | — | 4 | 1 | no | — |
| 378 | #127 | — | 8 | 1 | no | — |
| 379 | #127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 380 | #127 | C22×D4 | 1 | 1 | yes | characteristic |
| 381 | #127 | C22×D4 | 1 | 1 | yes | characteristic |
| 382 | #125 | — | 4 | 1 | no | — |
| 383 | #124 | — | 2 | 2 | no | — |
| 384 | #124 | — | 2 | 1 | no | — |
| 385 | #124 | — | 2 | 2 | no | — |
| 386 | #124 | — | 2 | 1 | no | — |
| 387 | #124 | — | 4 | 2 | no | — |
| 388 | #124 | — | 4 | 2 | no | — |
| 389 | #124 | — | 8 | 1 | no | — |
| 390 | #123 | — | 8 | 1 | no | — |
| 391 | #123 | — | 8 | 2 | no | — |
| 392 | #123 | — | 8 | 2 | no | — |
| 393 | #123 | — | 8 | 2 | no | — |
| 394 | C22⋊Q8 | — | 4 | 1 | no | — |
| 395 | C22⋊Q8 | — | 4 | 1 | no | — |
| 396 | C22⋊Q8 | — | 8 | 2 | no | — |
| 397 | C22⋊Q8 | — | 8 | 1 | no | — |
| 398 | #121 | — | 4 | 2 | no | — |
| 399 | #121 | — | 4 | 1 | no | — |
| 400 | #121 | — | 4 | 1 | no | — |
| 401 | #121 | — | 4 | 2 | no | — |
| 402 | #121 | — | 4 | 2 | no | — |
| 403 | #121 | — | 4 | 2 | no | — |
| 404 | #121 | — | 4 | 2 | no | — |
| 405 | #121 | — | 4 | 2 | no | — |
| 406 | #121 | — | 8 | 2 | no | — |
| 407 | #121 | — | 8 | 2 | no | — |
| 408 | #121 | — | 8 | 2 | no | — |
| 409 | #121 | — | 8 | 1 | no | — |
| 410 | #120 | — | 8 | 1 | no | — |
| 411 | #120 | — | 8 | 2 | no | — |
| 412 | #120 | — | 8 | 2 | no | — |
| 413 | C4×Q8 | — | 2 | 1 | no | — |
| 414 | C4×Q8 | — | 4 | 1 | no | — |
| 415 | C4×Q8 | — | 4 | 1 | no | — |
| 416 | C4×Q8 | — | 16 | 4 | no | — |
| 417 | C4×D4 | — | 2 | 2 | no | — |
| 418 | C4×D4 | — | 2 | 1 | no | — |
| 419 | C4×D4 | — | 4 | 2 | no | — |
| 420 | C4×D4 | — | 4 | 1 | no | — |
| 421 | C4×D4 | — | 4 | 1 | no | — |
| 422 | C4×D4 | — | 4 | 2 | no | — |
| 423 | C4×D4 | — | 4 | 2 | no | — |
| 424 | C4×D4 | — | 4 | 2 | no | — |
| 425 | C4×D4 | — | 4 | 2 | no | — |
| 426 | C4×D4 | — | 4 | 2 | no | — |
| 427 | C4×D4 | — | 8 | 1 | no | — |
| 428 | C4×D4 | — | 8 | 1 | no | — |
| 429 | C4×D4 | — | 16 | 4 | no | — |
| 430 | #117 | — | 4 | 1 | no | — |
| 431 | #117 | — | 8 | 2 | no | — |
| 432 | #117 | — | 8 | 4 | no | — |
| 433 | #117 | — | 8 | 2 | no | — |
| 434 | #117 | #99 | 1 | 1 | yes | characteristic |
| 435 | #117 | #99 | 1 | 2 | yes | — |
| 436 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 437 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 438 | C2×C22⋊C4 | — | 8 | 2 | no | — |
| 439 | C2×C22⋊C4 | — | 8 | 4 | no | — |
| 440 | C2×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 441 | C2×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 442 | #107 | — | 4 | 2 | no | — |
| 443 | #106 | — | 4 | 2 | no | — |
| 444 | #106 | — | 4 | 2 | no | — |
| 445 | #106 | — | 4 | 4 | no | — |
| 446 | #106 | — | 4 | 1 | no | — |
| 447 | #106 | — | 4 | 1 | no | — |
| 448 | C4⋊C8 | — | 2 | 4 | no | — |
| 449 | C4⋊C8 | — | 2 | 2 | no | — |
| 450 | #103 | — | 4 | 2 | no | — |
| 451 | #103 | — | 4 | 4 | no | — |
| 452 | #103 | — | 4 | 2 | no | — |
| 453 | #102 | — | 4 | 4 | no | — |
| 454 | #102 | — | 4 | 4 | no | — |
| 455 | #102 | — | 4 | 4 | no | — |
| 456 | #102 | — | 4 | 4 | no | — |
| 457 | #102 | — | 4 | 4 | no | — |
| 458 | #102 | — | 4 | 2 | no | — |
| 459 | #102 | — | 4 | 2 | no | — |
| 460 | #102 | — | 4 | 4 | no | — |
| 461 | #102 | — | 4 | 4 | no | — |
| 462 | #99 | — | 4 | 4 | no | — |
| 463 | #99 | — | 4 | 4 | no | — |
| 464 | #99 | — | 8 | 4 | no | — |
| 465 | #99 | — | 8 | 2 | no | — |
| 466 | #99 | — | 8 | 2 | no | — |
| 467 | #99 | — | 8 | 4 | no | — |
| 468 | C22⋊C8 | — | 2 | 2 | no | — |
| 469 | C22⋊C8 | — | 2 | 4 | no | — |
| 470 | #97 | — | 2 | 4 | no | — |
| 471 | #97 | — | 2 | 1 | no | — |
| 472 | #97 | — | 2 | 2 | no | — |
| 473 | C4×C8 | — | 2 | 2 | no | — |
| 474 | C4×C8 | — | 2 | 2 | no | — |
| 475 | C4×C8 | — | 2 | 1 | no | — |
| 476 | C4×C8 | — | 2 | 1 | no | — |
| 477 | C4×C8 | — | 2 | 2 | no | — |
| 478 | C4×C8 | — | 2 | 1 | no | — |
| 479 | C4×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 480 | C4×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 481 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 482 | C24 | — | 4 | 2 | no | — |
| 483 | C24 | — | 4 | 1 | no | — |
| 484 | C24 | — | 8 | 1 | no | — |
| 485 | #41 | — | 4 | 2 | no | — |
| 486 | #41 | — | 8 | 2 | no | — |
| 487 | #41 | — | 8 | 2 | no | — |
| 488 | #41 | — | 8 | 4 | no | — |
| 489 | #41 | — | 8 | 4 | no | — |
| 490 | #41 | — | 16 | 4 | no | — |
| 491 | #41 | — | 16 | 4 | no | — |
| 492 | #41 | — | 16 | 2 | no | — |
| 493 | #41 | — | 16 | 4 | no | — |
| 494 | #41 | — | 16 | 2 | no | — |
| 495 | C2×Q8 | — | 2 | 1 | no | — |
| 496 | C2×Q8 | — | 2 | 1 | no | — |
| 497 | C2×Q8 | — | 2 | 2 | no | — |
| 498 | C2×Q8 | — | 4 | 1 | no | — |
| 499 | C2×Q8 | — | 4 | 1 | no | — |
| 500 | C2×Q8 | — | 4 | 2 | no | — |
| 501 | C2×Q8 | — | 4 | 1 | no | — |
| 502 | C2×Q8 | — | 8 | 2 | no | — |
| 503 | C2×Q8 | — | 8 | 4 | no | — |
| 504 | C2×Q8 | — | 8 | 4 | no | — |
| 505 | C2×Q8 | #353 | 1 | 1 | yes | characteristic |
| 506 | C2×D4 | — | 2 | 1 | no | — |
| 507 | C2×D4 | — | 2 | 1 | no | — |
| 508 | C2×D4 | — | 2 | 2 | no | — |
| 509 | C2×D4 | — | 4 | 1 | no | — |
| 510 | C2×D4 | — | 4 | 2 | no | — |
| 511 | C2×D4 | — | 4 | 1 | no | — |
| 512 | C2×D4 | — | 4 | 2 | no | — |
| 513 | C2×D4 | — | 4 | 2 | no | — |
| 514 | C2×D4 | — | 4 | 2 | no | — |
| 515 | C2×D4 | — | 4 | 1 | no | — |
| 516 | C2×D4 | — | 4 | 1 | no | — |
| 517 | C2×D4 | — | 4 | 2 | no | — |
| 518 | C2×D4 | — | 4 | 2 | no | — |
| 519 | C2×D4 | — | 4 | 2 | no | — |
| 520 | C2×D4 | — | 4 | 1 | no | — |
| 521 | C2×D4 | — | 8 | 2 | no | — |
| 522 | C2×D4 | — | 8 | 4 | no | — |
| 523 | C2×D4 | — | 8 | 2 | no | — |
| 524 | C2×D4 | — | 8 | 1 | no | — |
| 525 | C2×D4 | — | 8 | 1 | no | — |
| 526 | C2×D4 | — | 8 | 1 | no | — |
| 527 | C2×D4 | — | 8 | 4 | no | — |
| 528 | C2×D4 | — | 8 | 4 | no | — |
| 529 | C2×D4 | — | 8 | 2 | no | — |
| 530 | C2×D4 | — | 8 | 2 | no | — |
| 531 | C2×D4 | — | 8 | 1 | no | — |
| 532 | C2×D4 | — | 16 | 2 | no | — |
| 533 | C2×D4 | — | 16 | 2 | no | — |
| 534 | C2×D4 | — | 16 | 4 | no | — |
| 535 | C2×D4 | — | 16 | 2 | no | — |
| 536 | C2×D4 | — | 16 | 4 | no | — |
| 537 | C2×D4 | #353 | 1 | 2 | yes | — |
| 538 | C2×D4 | #353 | 1 | 1 | yes | characteristic |
| 539 | C22×C4 | — | 2 | 2 | no | — |
| 540 | C22×C4 | — | 2 | 1 | no | — |
| 541 | C22×C4 | — | 4 | 1 | no | — |
| 542 | C22×C4 | — | 4 | 2 | no | — |
| 543 | C22×C4 | — | 4 | 2 | no | — |
| 544 | C22×C4 | — | 4 | 1 | no | — |
| 545 | C22×C4 | — | 4 | 1 | no | — |
| 546 | C22×C4 | — | 4 | 2 | no | — |
| 547 | C22×C4 | — | 8 | 2 | no | — |
| 548 | C22×C4 | — | 8 | 2 | no | — |
| 549 | C22×C4 | — | 16 | 4 | no | — |
| 550 | C22×C4 | C2×#99 | 1 | 1 | yes | characteristic |
| 551 | C22×C4 | C2×#99 | 1 | 2 | yes | — |
| 552 | Q16 | — | 8 | 2 | no | — |
| 553 | Q16 | — | 8 | 4 | no | — |
| 554 | SD16 | — | 8 | 4 | no | — |
| 555 | SD16 | — | 8 | 2 | no | — |
| 556 | SD16 | — | 8 | 4 | no | — |
| 557 | SD16 | — | 8 | 2 | no | — |
| 558 | SD16 | — | 8 | 4 | no | — |
| 559 | SD16 | — | 8 | 4 | no | — |
| 560 | SD16 | — | 8 | 4 | no | — |
| 561 | SD16 | — | 16 | 2 | no | — |
| 562 | SD16 | — | 16 | 4 | no | — |
| 563 | D8 | — | 8 | 4 | no | — |
| 564 | D8 | — | 8 | 4 | no | — |
| 565 | D8 | — | 8 | 2 | no | — |
| 566 | D8 | — | 8 | 8 | no | — |
| 567 | D8 | — | 8 | 4 | no | — |
| 568 | D8 | — | 16 | 4 | no | — |
| 569 | D8 | — | 16 | 4 | no | — |
| 570 | D8 | — | 16 | 4 | no | — |
| 571 | M16 | — | 4 | 4 | no | — |
| 572 | M16 | — | 4 | 2 | no | — |
| 573 | M16 | — | 8 | 4 | no | — |
| 574 | C2×C8 | — | 2 | 4 | no | — |
| 575 | C2×C8 | — | 2 | 1 | no | — |
| 576 | C2×C8 | — | 2 | 1 | no | — |
| 577 | C2×C8 | — | 2 | 2 | no | — |
| 578 | C2×C8 | — | 2 | 2 | no | — |
| 579 | C2×C8 | — | 2 | 4 | no | — |
| 580 | C2×C8 | — | 2 | 2 | no | — |
| 581 | C2×C8 | — | 4 | 4 | no | — |
| 582 | C2×C8 | — | 8 | 2 | no | — |
| 583 | C4⋊C4 | — | 2 | 2 | no | — |
| 584 | C4⋊C4 | — | 2 | 1 | no | — |
| 585 | C4⋊C4 | — | 4 | 2 | no | — |
| 586 | C4⋊C4 | — | 4 | 1 | no | — |
| 587 | C4⋊C4 | — | 4 | 1 | no | — |
| 588 | C4⋊C4 | — | 4 | 1 | no | — |
| 589 | C4⋊C4 | — | 4 | 1 | no | — |
| 590 | C4⋊C4 | — | 4 | 1 | no | — |
| 591 | C4⋊C4 | — | 4 | 1 | no | — |
| 592 | C4⋊C4 | — | 8 | 2 | no | — |
| 593 | C4⋊C4 | — | 8 | 1 | no | — |
| 594 | C4⋊C4 | — | 8 | 1 | no | — |
| 595 | C4⋊C4 | — | 8 | 1 | no | — |
| 596 | C4⋊C4 | — | 16 | 2 | no | — |
| 597 | C4⋊C4 | — | 16 | 4 | no | — |
| 598 | C4⋊C4 | — | 16 | 2 | no | — |
| 599 | C22⋊C4 | — | 2 | 1 | no | — |
| 600 | C22⋊C4 | — | 2 | 2 | no | — |
| 601 | C22⋊C4 | — | 8 | 2 | no | — |
| 602 | C22⋊C4 | — | 8 | 1 | no | — |
| 603 | C22⋊C4 | — | 8 | 2 | no | — |
| 604 | C22⋊C4 | — | 8 | 1 | no | — |
| 605 | C22⋊C4 | — | 8 | 2 | no | — |
| 606 | C22⋊C4 | — | 8 | 2 | no | — |
| 607 | C22⋊C4 | — | 8 | 1 | no | — |
| 608 | C22⋊C4 | — | 8 | 2 | no | — |
| 609 | C22⋊C4 | — | 8 | 2 | no | — |
| 610 | C22⋊C4 | — | 8 | 4 | no | — |
| 611 | C22⋊C4 | — | 8 | 4 | no | — |
| 612 | C22⋊C4 | — | 16 | 4 | no | — |
| 613 | C42 | — | 2 | 2 | no | — |
| 614 | C42 | — | 2 | 1 | no | — |
| 615 | C42 | — | 8 | 1 | no | — |
| 616 | C42 | — | 16 | 2 | no | — |
| 617 | C42 | — | 16 | 4 | no | — |
| 618 | C42 | — | 16 | 2 | no | — |
| 619 | C42 | C2×#99 | 1 | 2 | yes | — |
| 620 | C42 | C2×#99 | 1 | 1 | yes | characteristic |
| 621 | C42 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 622 | C23 | — | 4 | 1 | no | — |
| 623 | C23 | — | 4 | 1 | no | — |
| 624 | C23 | — | 4 | 2 | no | — |
| 625 | C23 | — | 8 | 4 | no | — |
| 626 | C23 | — | 8 | 2 | no | — |
| 627 | C23 | — | 16 | 1 | no | — |
| 628 | C23 | — | 16 | 2 | no | — |
| 629 | C23 | — | 32 | 2 | no | — |
| 630 | C23 | — | 32 | 1 | no | — |
| 631 | C23 | — | 32 | 1 | no | — |
| 632 | C23 | — | 32 | 1 | no | — |
| 633 | C23 | C2×#353 | 1 | 1 | yes | characteristic |
| 634 | C23 | C2×#353 | 1 | 2 | yes | — |
| 635 | Q8 | — | 2 | 2 | no | — |
| 636 | Q8 | — | 8 | 2 | no | — |
| 637 | Q8 | — | 8 | 1 | no | — |
| 638 | Q8 | — | 8 | 1 | no | — |
| 639 | Q8 | — | 8 | 4 | no | — |
| 640 | Q8 | — | 8 | 2 | no | — |
| 641 | Q8 | — | 8 | 2 | no | — |
| 642 | Q8 | — | 8 | 2 | no | — |
| 643 | D4 | — | 2 | 2 | no | — |
| 644 | D4 | — | 4 | 2 | no | — |
| 645 | D4 | — | 8 | 1 | no | — |
| 646 | D4 | — | 8 | 1 | no | — |
| 647 | D4 | — | 8 | 2 | no | — |
| 648 | D4 | — | 8 | 4 | no | — |
| 649 | D4 | — | 8 | 4 | no | — |
| 650 | D4 | — | 8 | 4 | no | — |
| 651 | D4 | — | 8 | 2 | no | — |
| 652 | D4 | — | 8 | 2 | no | — |
| 653 | D4 | — | 8 | 4 | no | — |
| 654 | D4 | — | 8 | 4 | no | — |
| 655 | D4 | — | 8 | 2 | no | — |
| 656 | D4 | — | 16 | 2 | no | — |
| 657 | D4 | — | 16 | 1 | no | — |
| 658 | D4 | — | 16 | 1 | no | — |
| 659 | D4 | — | 16 | 2 | no | — |
| 660 | D4 | — | 16 | 2 | no | — |
| 661 | D4 | — | 32 | 2 | no | — |
| 662 | D4 | — | 32 | 1 | no | — |
| 663 | D4 | — | 32 | 1 | no | — |
| 664 | D4 | — | 32 | 1 | no | — |
| 665 | D4 | — | 32 | 2 | no | — |
| 666 | D4 | — | 32 | 2 | no | — |
| 667 | C2×C4 | — | 2 | 1 | no | — |
| 668 | C2×C4 | — | 2 | 2 | no | — |
| 669 | C2×C4 | — | 2 | 2 | no | — |
| 670 | C2×C4 | — | 2 | 1 | no | — |
| 671 | C2×C4 | — | 4 | 2 | no | — |
| 672 | C2×C4 | — | 4 | 2 | no | — |
| 673 | C2×C4 | — | 4 | 4 | no | — |
| 674 | C2×C4 | — | 4 | 1 | no | — |
| 675 | C2×C4 | — | 4 | 2 | no | — |
| 676 | C2×C4 | — | 4 | 1 | no | — |
| 677 | C2×C4 | — | 8 | 4 | no | — |
| 678 | C2×C4 | — | 8 | 2 | no | — |
| 679 | C2×C4 | — | 8 | 2 | no | — |
| 680 | C2×C4 | — | 8 | 1 | no | — |
| 681 | C2×C4 | — | 8 | 1 | no | — |
| 682 | C2×C4 | — | 16 | 2 | no | — |
| 683 | C2×C4 | — | 16 | 1 | no | — |
| 684 | C2×C4 | — | 16 | 2 | no | — |
| 685 | C2×C4 | — | 16 | 4 | no | — |
| 686 | C2×C4 | — | 16 | 4 | no | — |
| 687 | C2×C4 | — | 32 | 2 | no | — |
| 688 | C2×C4 | — | 32 | 2 | no | — |
| 689 | C2×C4 | — | 64 | 4 | no | — |
| 690 | C2×C4 | C2×#353 | 1 | 2 | yes | — |
| 691 | C2×C4 | C2×#353 | 1 | 1 | yes | characteristic |
| 692 | C2×C4 | C22×#99 | 1 | 1 | yes | characteristic |
| 693 | C8 | — | 2 | 2 | no | — |
| 694 | C8 | — | 2 | 2 | no | — |
| 695 | C8 | — | 4 | 2 | no | — |
| 696 | C8 | — | 4 | 2 | no | — |
| 697 | C8 | — | 4 | 2 | no | — |
| 698 | C8 | — | 4 | 4 | no | — |
| 699 | C22 | — | 2 | 1 | no | — |
| 700 | C22 | — | 2 | 2 | no | — |
| 701 | C22 | — | 4 | 2 | no | — |
| 702 | C22 | — | 4 | 1 | no | — |
| 703 | C22 | — | 8 | 1 | no | — |
| 704 | C22 | — | 8 | 1 | no | — |
| 705 | C22 | — | 8 | 2 | no | — |
| 706 | C22 | — | 16 | 1 | no | — |
| 707 | C22 | — | 16 | 2 | no | — |
| 708 | C22 | — | 16 | 1 | no | — |
| 709 | C22 | — | 16 | 2 | no | — |
| 710 | C22 | — | 16 | 2 | no | — |
| 711 | C22 | — | 16 | 2 | no | — |
| 712 | C22 | — | 32 | 4 | no | — |
| 713 | C22 | — | 64 | 1 | no | — |
| 714 | C22 | — | 64 | 2 | no | — |
| 715 | C22 | C22×#353 | 1 | 1 | yes | characteristic |
| 716 | C4 | — | 2 | 2 | no | — |
| 717 | C4 | — | 2 | 1 | no | — |
| 718 | C4 | — | 2 | 2 | no | — |
| 719 | C4 | — | 4 | 2 | no | — |
| 720 | C4 | — | 4 | 1 | no | — |
| 721 | C4 | — | 8 | 1 | no | — |
| 722 | C4 | — | 8 | 2 | no | — |
| 723 | C4 | — | 8 | 1 | no | — |
| 724 | C4 | — | 16 | 1 | no | — |
| 725 | C4 | — | 16 | 1 | no | — |
| 726 | C4 | — | 32 | 4 | no | — |
| 727 | C4 | — | 32 | 4 | no | — |
| 728 | C4 | #13584 | 1 | 2 | yes | — |
| 729 | C2 | — | 2 | 1 | no | — |
| 730 | C2 | — | 4 | 2 | no | — |
| 731 | C2 | — | 4 | 1 | no | — |
| 732 | C2 | — | 16 | 1 | no | — |
| 733 | C2 | — | 16 | 1 | no | — |
| 734 | C2 | — | 16 | 2 | no | — |
| 735 | C2 | — | 32 | 2 | no | — |
| 736 | C2 | C2×#13584 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | C2×#13584 |
| commutator | C4×C8 | C23×C4 |
| Frattini, cosocle | #493 | C24 |
| prime radical | #6357864 | C2 |
| LCS | G ▷ C4×C8 ▷ C42 ▷ C2×C4 ▷ C22 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ C2×#41 ◁ C4×#41 ◁ #60646 ◁ G | |
| LECS | G ▷ #493 ▷ C42 ▷ C2×C4 ▷ C22 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #512616 | C2 | semidirect |
| 3. #512615 | C2 | semidirect |
| 4. #153539 | C2 | semidirect |
| 5. #153537 | C2 | semidirect |
| 6. #153524 | C2 | semidirect |
| 7. #153509 | C2 | semidirect |
| 10. #60714 | C4 | semidirect |
| 14. #19750 | C4 | semidirect |
| 17. #19721 | C4 | semidirect |
| 23. #19651 | C4 | semidirect |
| 24. C2×#1721 | C4 | semidirect |
| 26. #17336 | C4 | semidirect |
| 29. #13585 | C22 | semidirect |
| 30. #13584 | C22 | semidirect |
| 35. #7533 | C22 | semidirect |
| 36. #7533 | C22 | semidirect |
| 37. #7529 | C22 | semidirect |
| 58. #3184 | C2×C4 | semidirect |
| 59. #3184 | C2×C4 | semidirect |
| 64. #3160 | C2×C4 | semidirect |
| 75. C2×#493 | C2×C4 | semidirect |
| 100. #1721 | C2×C4 | semidirect |
| 101. #1721 | C2×C4 | semidirect |
| 106. #1716 | C2×C4 | semidirect |
| 107. #1716 | C2×C4 | semidirect |
| 116. #1709 | C2×C4 | semidirect |
| 117. #1708 | C2×C4 | semidirect |
| 118. #1705 | C2×C4 | semidirect |
| 119. #1455 | C2×C4 | semidirect |
| 120. #1453 | C2×C4 | semidirect |
| 123. #1450 | C2×C4 | semidirect |
| 124. C2×#322 | C2×C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #6357864 | 2 |
| #512616 | 2 |
| #512615 | 2 |
| #153539 | 2 |
| #153537 | 2 |
| #153524 | 2 |
| #153509 | 2 |