Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
908 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 39 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11715740 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11715735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11714179 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11714177 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11711649 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11711647 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21484⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #500803 | — | 3 | 1 | no | maximal, Sylow |
| 9 | #87521 | C22 | 1 | 1 | yes | characteristic |
| 10 | #87518 | C22 | 1 | 1 | yes | characteristic |
| 11 | #87518 | C22 | 1 | 1 | yes | characteristic |
| 12 | #87517 | C22 | 1 | 1 | yes | characteristic |
| 13 | #85666 | C22 | 1 | 1 | yes | characteristic |
| 14 | #85444 | — | 4 | 1 | no | maximal |
| 15 | #3025⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 16 | #73030 | — | 2 | 1 | no | — |
| 17 | #73029 | — | 2 | 1 | no | — |
| 18 | #73027 | — | 2 | 1 | no | — |
| 19 | #73025 | — | 2 | 1 | no | — |
| 20 | #1791⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 21 | #62287 | — | 3 | 1 | no | — |
| 22 | #33555 | — | 3 | 1 | no | — |
| 23 | #33554 | — | 3 | 1 | no | — |
| 24 | #32952 | — | 3 | 1 | no | — |
| 25 | #32947 | — | 3 | 1 | no | — |
| 26 | #21484 | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | #13435 | — | 3 | 1 | no | — |
| 28 | #13433 | — | 3 | 1 | no | — |
| 29 | #13356 | — | 3 | 1 | no | — |
| 30 | #13355 | — | 3 | 1 | no | — |
| 31 | #13232 | — | 3 | 1 | no | — |
| 32 | #13230 | — | 3 | 1 | no | — |
| 33 | #12806 | — | 3 | 1 | no | — |
| 34 | #12758 | — | 3 | 1 | no | — |
| 35 | #12757 | — | 3 | 1 | no | — |
| 36 | #5950 | C23 | 1 | 1 | yes | characteristic |
| 37 | #5934 | — | 2 | 1 | no | — |
| 38 | #5933 | — | 2 | 1 | no | — |
| 39 | #5933 | — | 2 | 1 | no | — |
| 40 | #5932 | — | 2 | 1 | no | — |
| 41 | #5912 | — | 4 | 1 | no | — |
| 42 | C2×A4⋊Q8 | — | 4 | 1 | no | — |
| 43 | A4×M16 | — | 4 | 1 | no | — |
| 44 | #5403 | — | 8 | 1 | no | — |
| 45 | #5401 | — | 4 | 1 | no | — |
| 46 | #5401 | — | 4 | 1 | no | — |
| 47 | #5401 | — | 8 | 1 | no | — |
| 48 | #5398 | — | 4 | 1 | no | — |
| 49 | #5398 | — | 4 | 1 | no | — |
| 50 | #458⋊C3 | D4 | 1 | 1 | yes | characteristic |
| 51 | B(4,𝔽2)⋊C3 | D4 | 1 | 1 | yes | characteristic |
| 52 | #3573 | C2×D3 | 1 | 1 | yes | characteristic |
| 53 | #3540 | — | 3 | 1 | no | — |
| 54 | #3538 | — | 3 | 1 | no | — |
| 55 | #3349 | — | 6 | 1 | no | — |
| 56 | #3348 | — | 6 | 1 | no | — |
| 57 | #3329 | — | 6 | 1 | no | — |
| 58 | #3328 | — | 6 | 1 | no | — |
| 59 | #3327 | — | 6 | 1 | no | — |
| 60 | #3323 | — | 6 | 1 | no | — |
| 61 | #3270 | — | 6 | 1 | no | — |
| 62 | #3266 | — | 6 | 1 | no | — |
| 63 | #3258 | — | 6 | 1 | no | — |
| 64 | #3202 | — | 3 | 1 | no | — |
| 65 | #3200 | — | 3 | 1 | no | — |
| 66 | #3196 | — | 6 | 1 | no | — |
| 67 | #3178 | — | 6 | 1 | no | — |
| 68 | C2×#473 | — | 6 | 1 | no | — |
| 69 | #3059 | — | 3 | 1 | no | — |
| 70 | #3057 | — | 3 | 1 | no | — |
| 71 | #3057 | — | 6 | 1 | no | — |
| 72 | #3056 | — | 6 | 1 | no | — |
| 73 | #3028 | — | 3 | 1 | no | — |
| 74 | #3027 | — | 3 | 1 | no | — |
| 75 | #3025 | C2×D3 | 1 | 1 | yes | characteristic |
| 76 | #3022 | — | 3 | 1 | no | — |
| 77 | #3022 | — | 3 | 1 | no | — |
| 78 | #2930 | — | 3 | 1 | no | — |
| 79 | #2201 | — | 6 | 1 | no | — |
| 80 | #2201 | — | 6 | 1 | no | — |
| 81 | #2199 | — | 6 | 1 | no | — |
| 82 | #2199 | — | 6 | 1 | no | — |
| 83 | #2197 | — | 6 | 1 | no | — |
| 84 | #2197 | — | 6 | 1 | no | — |
| 85 | #2197 | — | 6 | 1 | no | — |
| 86 | #2197 | — | 6 | 1 | no | — |
| 87 | #2135 | — | 3 | 1 | no | — |
| 88 | #2134 | — | 3 | 1 | no | — |
| 89 | #2129 | — | 3 | 1 | no | — |
| 90 | #2129 | — | 3 | 1 | no | — |
| 91 | #2123 | — | 3 | 1 | no | — |
| 92 | #2123 | — | 3 | 1 | no | — |
| 93 | #2123 | — | 3 | 1 | no | — |
| 94 | #2122 | — | 3 | 1 | no | — |
| 95 | #2120 | — | 3 | 1 | no | — |
| 96 | #2120 | — | 3 | 1 | no | — |
| 97 | #1915 | — | 3 | 1 | no | — |
| 98 | #1915 | — | 3 | 1 | no | — |
| 99 | #1910 | — | 3 | 1 | no | — |
| 100 | #1910 | — | 6 | 1 | no | — |
| 101 | #1909 | — | 3 | 1 | no | — |
| 102 | #1909 | — | 6 | 1 | no | — |
| 103 | #1902 | — | 6 | 1 | no | — |
| 104 | #1902 | — | 6 | 1 | no | — |
| 105 | #1891 | — | 3 | 1 | no | — |
| 106 | #1868 | — | 3 | 1 | no | — |
| 107 | #1814 | — | 6 | 1 | no | — |
| 108 | #1813 | — | 3 | 1 | no | — |
| 109 | #1812 | — | 3 | 1 | no | — |
| 110 | #1812 | — | 6 | 1 | no | — |
| 111 | #1791 | C2×D3 | 1 | 1 | yes | characteristic |
| 112 | #1757 | — | 3 | 1 | no | — |
| 113 | #1395 | — | 3 | 1 | no | — |
| 114 | #1395 | — | 3 | 1 | no | — |
| 115 | #997 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C2×C4×A4 | — | 4 | 1 | no | — |
| 117 | GL(2,ℤ/4) | — | 8 | 1 | no | — |
| 118 | C2×SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 119 | #984 | — | 8 | 1 | no | — |
| 120 | #984 | — | 8 | 1 | no | — |
| 121 | C4⋊S4 | — | 4 | 1 | no | — |
| 122 | C4⋊S4 | — | 8 | 1 | no | — |
| 123 | C4×S4 | — | 8 | 1 | no | — |
| 124 | A4⋊Q8 | — | 4 | 1 | no | — |
| 125 | A4⋊Q8 | — | 4 | 1 | no | — |
| 126 | A4⋊Q8 | — | 4 | 1 | no | — |
| 127 | A4⋊Q8 | — | 8 | 1 | no | — |
| 128 | A4⋊Q8 | — | 8 | 1 | no | — |
| 129 | #909 | — | 16 | 1 | no | — |
| 130 | #131⋊C3 | — | 8 | 1 | no | — |
| 131 | C8×A4 | — | 4 | 1 | no | — |
| 132 | C8×A4 | — | 4 | 1 | no | — |
| 133 | C8×A4 | — | 8 | 1 | no | — |
| 134 | #585 | C22×D3 | 1 | 1 | yes | characteristic |
| 135 | C2×#137 | — | 6 | 1 | no | — |
| 136 | C2×#137 | — | 6 | 1 | no | — |
| 137 | C2×#137 | — | 6 | 1 | no | — |
| 138 | C22×Q16 | — | 3 | 1 | no | — |
| 139 | C22×SD16 | — | 3 | 1 | no | — |
| 140 | #568 | — | 3 | 1 | no | — |
| 141 | #568 | — | 6 | 1 | no | — |
| 142 | #568 | — | 6 | 1 | no | — |
| 143 | C2×#131 | — | 3 | 1 | no | — |
| 144 | C2×#131 | — | 6 | 1 | no | — |
| 145 | C2×#131 | — | 6 | 1 | no | — |
| 146 | C22×M16 | S4 | 1 | 1 | yes | characteristic, complemented |
| 147 | #563 | — | 6 | 1 | no | — |
| 148 | #563 | — | 6 | 1 | no | — |
| 149 | H(3,𝔽4) | — | 6 | 1 | no | — |
| 150 | #560 | — | 6 | 1 | no | — |
| 151 | #559 | — | 6 | 1 | no | — |
| 152 | #556 | — | 6 | 1 | no | — |
| 153 | #555 | — | 6 | 1 | no | — |
| 154 | #552 | — | 6 | 1 | no | — |
| 155 | #552 | — | 6 | 1 | no | — |
| 156 | #551 | — | 6 | 1 | no | — |
| 157 | #551 | — | 6 | 1 | no | — |
| 158 | #551 | — | 6 | 1 | no | — |
| 159 | D4×Q8 | — | 6 | 1 | no | — |
| 160 | D4×Q8 | — | 6 | 1 | no | — |
| 161 | #548 | — | 6 | 1 | no | — |
| 162 | #546 | — | 6 | 1 | no | — |
| 163 | #544 | — | 12 | 1 | no | — |
| 164 | #542 | — | 6 | 1 | no | — |
| 165 | #542 | — | 12 | 1 | no | — |
| 166 | #541 | — | 6 | 1 | no | — |
| 167 | #539 | — | 12 | 1 | no | — |
| 168 | #538 | — | 12 | 1 | no | — |
| 169 | #536 | — | 3 | 1 | no | — |
| 170 | #536 | — | 3 | 1 | no | — |
| 171 | #536 | — | 3 | 1 | no | — |
| 172 | #536 | — | 6 | 1 | no | — |
| 173 | #535 | — | 3 | 1 | no | — |
| 174 | #535 | — | 6 | 1 | no | — |
| 175 | #525 | — | 3 | 1 | no | — |
| 176 | #525 | — | 6 | 1 | no | — |
| 177 | C2×C22⋊Q8 | — | 6 | 1 | no | — |
| 178 | #501 | — | 6 | 1 | no | — |
| 179 | #497 | — | 6 | 1 | no | — |
| 180 | #488 | — | 6 | 1 | no | — |
| 181 | #487 | — | 6 | 1 | no | — |
| 182 | #485 | — | 6 | 1 | no | — |
| 183 | #485 | — | 6 | 1 | no | — |
| 184 | #485 | — | 6 | 1 | no | — |
| 185 | #485 | — | 6 | 1 | no | — |
| 186 | #485 | — | 6 | 1 | no | — |
| 187 | #484 | — | 6 | 1 | no | — |
| 188 | #482 | — | 6 | 1 | no | — |
| 189 | #481 | — | 6 | 1 | no | — |
| 190 | #479 | — | 6 | 1 | no | — |
| 191 | #478 | — | 6 | 1 | no | — |
| 192 | #477 | — | 6 | 1 | no | — |
| 193 | #475 | — | 6 | 1 | no | — |
| 194 | #473 | — | 12 | 1 | no | — |
| 195 | #473 | — | 12 | 1 | no | — |
| 196 | #473 | — | 12 | 1 | no | — |
| 197 | #473 | — | 12 | 1 | no | — |
| 198 | #470 | — | 6 | 1 | no | — |
| 199 | #470 | — | 6 | 1 | no | — |
| 200 | #470 | — | 6 | 1 | no | — |
| 201 | #470 | — | 6 | 1 | no | — |
| 202 | #470 | — | 6 | 1 | no | — |
| 203 | #468 | — | 6 | 1 | no | — |
| 204 | #468 | — | 6 | 1 | no | — |
| 205 | #468 | — | 6 | 1 | no | — |
| 206 | #468 | — | 6 | 1 | no | — |
| 207 | #468 | — | 6 | 1 | no | — |
| 208 | #468 | — | 12 | 1 | no | — |
| 209 | #468 | — | 12 | 1 | no | — |
| 210 | #467 | — | 6 | 1 | no | — |
| 211 | #467 | — | 6 | 1 | no | — |
| 212 | #467 | — | 6 | 1 | no | — |
| 213 | #465 | — | 6 | 1 | no | — |
| 214 | #465 | — | 6 | 1 | no | — |
| 215 | #465 | — | 6 | 1 | no | — |
| 216 | #465 | — | 12 | 1 | no | — |
| 217 | #465 | — | 12 | 1 | no | — |
| 218 | #464 | — | 6 | 1 | no | — |
| 219 | #464 | — | 6 | 1 | no | — |
| 220 | #462 | — | 6 | 1 | no | — |
| 221 | #461 | — | 6 | 1 | no | — |
| 222 | #458 | — | 3 | 1 | no | — |
| 223 | #458 | — | 6 | 1 | no | — |
| 224 | #458 | — | 6 | 1 | no | — |
| 225 | #458 | — | 12 | 1 | no | — |
| 226 | #458 | D12 | 1 | 1 | yes | characteristic |
| 227 | B(4,𝔽2) | — | 3 | 1 | no | — |
| 228 | B(4,𝔽2) | — | 6 | 1 | no | — |
| 229 | B(4,𝔽2) | — | 6 | 1 | no | — |
| 230 | B(4,𝔽2) | — | 12 | 1 | no | — |
| 231 | B(4,𝔽2) | D12 | 1 | 1 | yes | characteristic |
| 232 | #456 | — | 12 | 1 | no | — |
| 233 | #456 | — | 12 | 1 | no | — |
| 234 | #455 | — | 6 | 1 | no | — |
| 235 | #455 | — | 6 | 1 | no | — |
| 236 | #455 | — | 6 | 1 | no | — |
| 237 | #455 | — | 6 | 1 | no | — |
| 238 | #452 | — | 6 | 1 | no | — |
| 239 | #452 | — | 6 | 1 | no | — |
| 240 | #451 | — | 6 | 1 | no | — |
| 241 | #451 | — | 6 | 1 | no | — |
| 242 | #451 | — | 6 | 1 | no | — |
| 243 | #450 | — | 6 | 1 | no | — |
| 244 | #448 | — | 6 | 1 | no | — |
| 245 | #448 | — | 6 | 1 | no | — |
| 246 | #441 | — | 6 | 1 | no | — |
| 247 | #440 | — | 6 | 1 | no | — |
| 248 | C4×Q16 | — | 6 | 1 | no | — |
| 249 | C4×SD16 | — | 6 | 1 | no | — |
| 250 | #436 | — | 6 | 1 | no | — |
| 251 | #436 | — | 6 | 1 | no | — |
| 252 | #435 | — | 6 | 1 | no | — |
| 253 | #435 | — | 6 | 1 | no | — |
| 254 | C2×#108 | — | 6 | 1 | no | — |
| 255 | #428 | — | 6 | 1 | no | — |
| 256 | #427 | — | 3 | 1 | no | — |
| 257 | #427 | — | 3 | 1 | no | — |
| 258 | #427 | — | 6 | 1 | no | — |
| 259 | #424 | — | 3 | 1 | no | — |
| 260 | #421 | — | 6 | 1 | no | — |
| 261 | #421 | — | 6 | 1 | no | — |
| 262 | #419 | — | 3 | 1 | no | — |
| 263 | #419 | — | 3 | 1 | no | — |
| 264 | #419 | — | 3 | 1 | no | — |
| 265 | #419 | — | 6 | 1 | no | — |
| 266 | #419 | — | 6 | 1 | no | — |
| 267 | #418 | — | 3 | 1 | no | — |
| 268 | #418 | — | 6 | 1 | no | — |
| 269 | #417 | — | 6 | 1 | no | — |
| 270 | #413 | — | 3 | 1 | no | — |
| 271 | #413 | — | 3 | 1 | no | — |
| 272 | #413 | — | 3 | 1 | no | — |
| 273 | C2×#101 | — | 6 | 1 | no | — |
| 274 | C2×#101 | — | 6 | 1 | no | — |
| 275 | #410 | — | 3 | 1 | no | — |
| 276 | #410 | — | 3 | 1 | no | — |
| 277 | #410 | — | 3 | 1 | no | — |
| 278 | #410 | — | 6 | 1 | no | — |
| 279 | #410 | — | 6 | 1 | no | — |
| 280 | #408 | — | 3 | 1 | no | — |
| 281 | #407 | — | 3 | 1 | no | — |
| 282 | #405 | — | 3 | 1 | no | — |
| 283 | #356 | — | 12 | 1 | no | — |
| 284 | #355 | — | 12 | 1 | no | — |
| 285 | #354 | — | 6 | 1 | no | — |
| 286 | #354 | — | 6 | 1 | no | — |
| 287 | #354 | — | 6 | 1 | no | — |
| 288 | #354 | — | 6 | 1 | no | — |
| 289 | #352 | — | 6 | 1 | no | — |
| 290 | #352 | — | 6 | 1 | no | — |
| 291 | #352 | — | 6 | 1 | no | — |
| 292 | #352 | — | 6 | 1 | no | — |
| 293 | #352 | — | 12 | 1 | no | — |
| 294 | #352 | — | 12 | 1 | no | — |
| 295 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 296 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 297 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 298 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 299 | #344 | — | 6 | 1 | no | — |
| 300 | #344 | — | 6 | 1 | no | — |
| 301 | #344 | — | 6 | 1 | no | — |
| 302 | #338 | — | 6 | 1 | no | — |
| 303 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 304 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 305 | H(3,ℤ/4) | — | 6 | 1 | no | — |
| 306 | C22×A4 | — | 4 | 1 | no | — |
| 307 | C2×S4 | — | 8 | 1 | no | — |
| 308 | C2×S4 | — | 16 | 1 | no | — |
| 309 | #235 | — | 16 | 1 | no | — |
| 310 | C2×Dic6 | — | 16 | 1 | no | — |
| 311 | #41⋊C3 | — | 8 | 1 | no | — |
| 312 | C4×A4 | — | 4 | 1 | no | — |
| 313 | C4×A4 | — | 4 | 1 | no | — |
| 314 | C4×A4 | — | 8 | 1 | no | — |
| 315 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 316 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 317 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 318 | SL(2,ℤ/4) | — | 16 | 1 | no | — |
| 319 | #226 | — | 16 | 1 | no | — |
| 320 | #226 | — | 16 | 1 | no | — |
| 321 | C3×M16 | — | 16 | 1 | no | — |
| 322 | Dic12 | — | 16 | 1 | no | — |
| 323 | Dic12 | — | 16 | 1 | no | — |
| 324 | #204 | — | 16 | 1 | no | — |
| 325 | #204 | — | 16 | 1 | no | — |
| 326 | 2−1+4 | — | 6 | 1 | no | — |
| 327 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 328 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 329 | H(5,𝔽2) | C2×D12 | 1 | 1 | yes | characteristic |
| 330 | C2×#41 | — | 3 | 1 | no | — |
| 331 | C2×#41 | — | 6 | 1 | no | — |
| 332 | C2×#41 | — | 6 | 1 | no | — |
| 333 | C2×#41 | — | 6 | 1 | no | — |
| 334 | C22×Q8 | — | 3 | 1 | no | — |
| 335 | C22×Q8 | — | 3 | 1 | no | — |
| 336 | C22×Q8 | — | 3 | 1 | no | — |
| 337 | C22×Q8 | — | 6 | 1 | no | — |
| 338 | C22×D4 | — | 3 | 1 | no | — |
| 339 | C23×C4 | C2×S4 | 1 | 1 | yes | characteristic |
| 340 | #137 | — | 12 | 1 | no | — |
| 341 | #137 | — | 12 | 1 | no | — |
| 342 | #137 | — | 12 | 1 | no | — |
| 343 | #137 | — | 12 | 1 | no | — |
| 344 | #137 | — | 12 | 1 | no | — |
| 345 | #137 | — | 12 | 1 | no | — |
| 346 | #137 | — | 12 | 1 | no | — |
| 347 | #137 | — | 12 | 1 | no | — |
| 348 | #137 | — | 24 | 1 | no | — |
| 349 | #137 | — | 24 | 1 | no | — |
| 350 | C2×Q16 | — | 6 | 1 | no | — |
| 351 | C2×Q16 | — | 6 | 1 | no | — |
| 352 | C2×Q16 | — | 6 | 1 | no | — |
| 353 | C2×Q16 | — | 6 | 1 | no | — |
| 354 | C2×Q16 | — | 12 | 1 | no | — |
| 355 | C2×Q16 | — | 12 | 1 | no | — |
| 356 | C2×Q16 | — | 12 | 1 | no | — |
| 357 | C2×Q16 | — | 12 | 1 | no | — |
| 358 | C2×SD16 | — | 6 | 1 | no | — |
| 359 | C2×SD16 | — | 6 | 1 | no | — |
| 360 | C2×SD16 | — | 6 | 1 | no | — |
| 361 | C2×SD16 | — | 6 | 1 | no | — |
| 362 | C2×SD16 | — | 12 | 1 | no | — |
| 363 | C2×SD16 | — | 12 | 1 | no | — |
| 364 | C2×SD16 | — | 12 | 1 | no | — |
| 365 | C2×SD16 | — | 12 | 1 | no | — |
| 366 | #131 | — | 2 | 1 | no | — |
| 367 | #131 | — | 6 | 1 | no | — |
| 368 | #131 | — | 6 | 1 | no | — |
| 369 | #131 | — | 6 | 1 | no | — |
| 370 | #131 | — | 12 | 1 | no | — |
| 371 | #131 | — | 12 | 1 | no | — |
| 372 | #131 | — | 12 | 1 | no | — |
| 373 | #131 | — | 12 | 1 | no | — |
| 374 | #131 | — | 12 | 1 | no | — |
| 375 | C2×M16 | — | 3 | 1 | no | — |
| 376 | C2×M16 | — | 3 | 1 | no | — |
| 377 | C2×M16 | — | 3 | 1 | no | — |
| 378 | C2×M16 | — | 3 | 1 | no | — |
| 379 | C2×M16 | — | 6 | 1 | no | — |
| 380 | C2×M16 | — | 6 | 1 | no | — |
| 381 | C2×M16 | — | 6 | 1 | no | — |
| 382 | C2×M16 | — | 6 | 1 | no | — |
| 383 | C2×M16 | — | 6 | 1 | no | — |
| 384 | C2×M16 | — | 6 | 1 | no | — |
| 385 | C2×M16 | — | 6 | 1 | no | — |
| 386 | C2×M16 | — | 6 | 1 | no | — |
| 387 | C2×M16 | — | 12 | 1 | no | — |
| 388 | C22×C8 | — | 2 | 1 | no | — |
| 389 | C22×C8 | — | 3 | 1 | no | — |
| 390 | C22×C8 | — | 3 | 1 | no | — |
| 391 | C22×C8 | — | 6 | 1 | no | — |
| 392 | C22×C8 | C2×S4 | 1 | 1 | yes | characteristic |
| 393 | C22×C8 | C2×S4 | 1 | 1 | yes | characteristic |
| 394 | C4⋊Q8 | — | 6 | 1 | no | — |
| 395 | C4⋊Q8 | — | 6 | 1 | no | — |
| 396 | C4⋊Q8 | — | 6 | 1 | no | — |
| 397 | C4⋊Q8 | — | 6 | 1 | no | — |
| 398 | C4⋊Q8 | — | 6 | 1 | no | — |
| 399 | C4⋊Q8 | — | 12 | 1 | no | — |
| 400 | C4⋊Q8 | — | 12 | 1 | no | — |
| 401 | C4⋊Q8 | — | 12 | 1 | no | — |
| 402 | #127 | — | 6 | 1 | no | — |
| 403 | #127 | — | 12 | 1 | no | — |
| 404 | #126 | — | 12 | 1 | no | — |
| 405 | #126 | — | 12 | 1 | no | — |
| 406 | #126 | — | 12 | 1 | no | — |
| 407 | #126 | — | 12 | 1 | no | — |
| 408 | #126 | — | 12 | 1 | no | — |
| 409 | #126 | — | 12 | 1 | no | — |
| 410 | #126 | — | 12 | 1 | no | — |
| 411 | #125 | — | 6 | 1 | no | — |
| 412 | #125 | — | 12 | 1 | no | — |
| 413 | #125 | — | 12 | 1 | no | — |
| 414 | #125 | — | 12 | 1 | no | — |
| 415 | #125 | — | 12 | 1 | no | — |
| 416 | #124 | — | 6 | 1 | no | — |
| 417 | #124 | — | 6 | 1 | no | — |
| 418 | #124 | — | 6 | 1 | no | — |
| 419 | #124 | — | 6 | 1 | no | — |
| 420 | #124 | — | 6 | 1 | no | — |
| 421 | #124 | — | 12 | 1 | no | — |
| 422 | #124 | — | 12 | 1 | no | — |
| 423 | #124 | — | 12 | 1 | no | — |
| 424 | #124 | — | 12 | 1 | no | — |
| 425 | #124 | — | 12 | 1 | no | — |
| 426 | #124 | — | 12 | 1 | no | — |
| 427 | #124 | — | 12 | 1 | no | — |
| 428 | #123 | — | 3 | 1 | no | — |
| 429 | #123 | — | 3 | 1 | no | — |
| 430 | #123 | — | 6 | 1 | no | — |
| 431 | #123 | — | 6 | 1 | no | — |
| 432 | #123 | — | 6 | 1 | no | — |
| 433 | #123 | — | 6 | 1 | no | — |
| 434 | #123 | — | 6 | 1 | no | — |
| 435 | #123 | — | 6 | 1 | no | — |
| 436 | #123 | — | 12 | 1 | no | — |
| 437 | #123 | — | 12 | 1 | no | — |
| 438 | #123 | — | 12 | 1 | no | — |
| 439 | #123 | — | 12 | 1 | no | — |
| 440 | #123 | — | 12 | 1 | no | — |
| 441 | #123 | — | 12 | 1 | no | — |
| 442 | #123 | — | 12 | 1 | no | — |
| 443 | C22⋊Q8 | — | 6 | 1 | no | — |
| 444 | C22⋊Q8 | — | 6 | 1 | no | — |
| 445 | C22⋊Q8 | — | 6 | 1 | no | — |
| 446 | C22⋊Q8 | — | 6 | 1 | no | — |
| 447 | C22⋊Q8 | — | 6 | 1 | no | — |
| 448 | C22⋊Q8 | — | 6 | 1 | no | — |
| 449 | C22⋊Q8 | — | 6 | 1 | no | — |
| 450 | C22⋊Q8 | — | 6 | 1 | no | — |
| 451 | C22⋊Q8 | — | 6 | 1 | no | — |
| 452 | C22⋊Q8 | — | 6 | 1 | no | — |
| 453 | C22⋊Q8 | — | 12 | 1 | no | — |
| 454 | C22⋊Q8 | — | 12 | 1 | no | — |
| 455 | C22⋊Q8 | — | 12 | 1 | no | — |
| 456 | C22⋊Q8 | — | 12 | 1 | no | — |
| 457 | C22⋊Q8 | — | 12 | 1 | no | — |
| 458 | C22⋊Q8 | — | 12 | 1 | no | — |
| 459 | C22⋊Q8 | — | 12 | 1 | no | — |
| 460 | C22⋊Q8 | — | 12 | 1 | no | — |
| 461 | C22⋊Q8 | — | 12 | 1 | no | — |
| 462 | C22⋊Q8 | — | 12 | 1 | no | — |
| 463 | #121 | — | 6 | 1 | no | — |
| 464 | #121 | — | 6 | 1 | no | — |
| 465 | #121 | — | 6 | 1 | no | — |
| 466 | #121 | — | 6 | 1 | no | — |
| 467 | #121 | — | 12 | 1 | no | — |
| 468 | #121 | — | 12 | 1 | no | — |
| 469 | #121 | — | 12 | 1 | no | — |
| 470 | #121 | — | 12 | 1 | no | — |
| 471 | #121 | — | 12 | 1 | no | — |
| 472 | #120 | — | 3 | 1 | no | — |
| 473 | #120 | — | 3 | 1 | no | — |
| 474 | #120 | — | 6 | 1 | no | — |
| 475 | #120 | — | 6 | 1 | no | — |
| 476 | #120 | — | 12 | 1 | no | — |
| 477 | #120 | — | 12 | 1 | no | — |
| 478 | #120 | — | 12 | 1 | no | — |
| 479 | #120 | — | 12 | 1 | no | — |
| 480 | C4×Q8 | — | 6 | 1 | no | — |
| 481 | C4×Q8 | — | 6 | 1 | no | — |
| 482 | C4×Q8 | — | 6 | 1 | no | — |
| 483 | C4×Q8 | — | 12 | 1 | no | — |
| 484 | C4×D4 | — | 6 | 1 | no | — |
| 485 | C4×D4 | — | 6 | 1 | no | — |
| 486 | C4×D4 | — | 6 | 1 | no | — |
| 487 | C4×D4 | — | 12 | 1 | no | — |
| 488 | C4×D4 | — | 12 | 1 | no | — |
| 489 | C4×D4 | — | 12 | 1 | no | — |
| 490 | C4×D4 | — | 12 | 1 | no | — |
| 491 | C4×D4 | — | 12 | 1 | no | — |
| 492 | #117 | — | 3 | 1 | no | — |
| 493 | #117 | — | 3 | 1 | no | — |
| 494 | #117 | — | 3 | 1 | no | — |
| 495 | #117 | — | 3 | 1 | no | — |
| 496 | #117 | — | 3 | 1 | no | — |
| 497 | #117 | — | 6 | 1 | no | — |
| 498 | #117 | — | 6 | 1 | no | — |
| 499 | #117 | — | 6 | 1 | no | — |
| 500 | #117 | — | 12 | 1 | no | — |
| 501 | #117 | — | 12 | 1 | no | — |
| 502 | #117 | — | 12 | 1 | no | — |
| 503 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 504 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 505 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 506 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 507 | #108 | — | 12 | 1 | no | — |
| 508 | #108 | — | 12 | 1 | no | — |
| 509 | #107 | — | 6 | 1 | no | — |
| 510 | #107 | — | 6 | 1 | no | — |
| 511 | #107 | — | 6 | 1 | no | — |
| 512 | #107 | — | 6 | 1 | no | — |
| 513 | #107 | — | 12 | 1 | no | — |
| 514 | #106 | — | 6 | 1 | no | — |
| 515 | #106 | — | 6 | 1 | no | — |
| 516 | #106 | — | 6 | 1 | no | — |
| 517 | #106 | — | 6 | 1 | no | — |
| 518 | #106 | — | 12 | 1 | no | — |
| 519 | C4⋊C8 | — | 6 | 1 | no | — |
| 520 | C4⋊C8 | — | 6 | 1 | no | — |
| 521 | #104 | — | 12 | 1 | no | — |
| 522 | #104 | — | 12 | 1 | no | — |
| 523 | #104 | — | 12 | 1 | no | — |
| 524 | #104 | — | 12 | 1 | no | — |
| 525 | #103 | — | 6 | 1 | no | — |
| 526 | #103 | — | 6 | 1 | no | — |
| 527 | #103 | — | 6 | 1 | no | — |
| 528 | #103 | — | 6 | 1 | no | — |
| 529 | #103 | — | 6 | 1 | no | — |
| 530 | #103 | — | 6 | 1 | no | — |
| 531 | #103 | — | 6 | 1 | no | — |
| 532 | #103 | — | 6 | 1 | no | — |
| 533 | #103 | — | 6 | 1 | no | — |
| 534 | #103 | — | 6 | 1 | no | — |
| 535 | #103 | — | 6 | 1 | no | — |
| 536 | #103 | — | 6 | 1 | no | — |
| 537 | #103 | — | 12 | 1 | no | — |
| 538 | #103 | — | 12 | 1 | no | — |
| 539 | #102 | — | 6 | 1 | no | — |
| 540 | #102 | — | 6 | 1 | no | — |
| 541 | #102 | — | 6 | 1 | no | — |
| 542 | #102 | — | 6 | 1 | no | — |
| 543 | #102 | — | 12 | 1 | no | — |
| 544 | #102 | — | 12 | 1 | no | — |
| 545 | #101 | — | 6 | 1 | no | — |
| 546 | #101 | — | 6 | 1 | no | — |
| 547 | #101 | — | 6 | 1 | no | — |
| 548 | #101 | — | 12 | 1 | no | — |
| 549 | #101 | — | 12 | 1 | no | — |
| 550 | #101 | — | 12 | 1 | no | — |
| 551 | #101 | — | 12 | 1 | no | — |
| 552 | #100 | — | 6 | 1 | no | — |
| 553 | #100 | — | 6 | 1 | no | — |
| 554 | #100 | — | 6 | 1 | no | — |
| 555 | #99 | — | 3 | 1 | no | — |
| 556 | #99 | — | 3 | 1 | no | — |
| 557 | #99 | — | 6 | 1 | no | — |
| 558 | #99 | — | 6 | 1 | no | — |
| 559 | #99 | — | 6 | 1 | no | — |
| 560 | #99 | — | 6 | 1 | no | — |
| 561 | #99 | — | 6 | 1 | no | — |
| 562 | #99 | — | 12 | 1 | no | — |
| 563 | #99 | — | 12 | 1 | no | — |
| 564 | #99 | — | 12 | 1 | no | — |
| 565 | #99 | — | 12 | 1 | no | — |
| 566 | C22⋊C8 | — | 6 | 1 | no | — |
| 567 | C22⋊C8 | — | 6 | 1 | no | — |
| 568 | C22⋊C8 | — | 6 | 1 | no | — |
| 569 | C22⋊C8 | — | 6 | 1 | no | — |
| 570 | #97 | — | 6 | 1 | no | — |
| 571 | C4×C8 | — | 6 | 1 | no | — |
| 572 | C2×A4 | — | 4 | 1 | no | — |
| 573 | C2×A4 | — | 8 | 1 | no | — |
| 574 | C2×A4 | — | 8 | 1 | no | — |
| 575 | S4 | — | 16 | 1 | no | — |
| 576 | S4 | — | 32 | 1 | no | — |
| 577 | C2×C3×C4 | — | 16 | 1 | no | — |
| 578 | #67 | — | 32 | 1 | no | — |
| 579 | C2×Dic3 | — | 32 | 1 | no | — |
| 580 | D12 | — | 16 | 1 | no | — |
| 581 | C4×D3 | — | 32 | 1 | no | — |
| 582 | Dic6 | — | 16 | 1 | no | — |
| 583 | Dic6 | — | 16 | 1 | no | — |
| 584 | Dic6 | — | 16 | 1 | no | — |
| 585 | Dic6 | — | 32 | 1 | no | — |
| 586 | SL(2,𝔽3) | — | 8 | 1 | no | — |
| 587 | C3×C8 | — | 16 | 1 | no | — |
| 588 | C3×C8 | — | 16 | 1 | no | — |
| 589 | C24 | — | 6 | 1 | no | — |
| 590 | C24 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 591 | #41 | — | 2 | 1 | no | — |
| 592 | #41 | — | 6 | 1 | no | — |
| 593 | #41 | — | 6 | 1 | no | — |
| 594 | #41 | — | 6 | 1 | no | — |
| 595 | #41 | — | 12 | 1 | no | — |
| 596 | #41 | — | 12 | 1 | no | — |
| 597 | #41 | — | 12 | 1 | no | — |
| 598 | #41 | — | 12 | 1 | no | — |
| 599 | #41 | — | 12 | 1 | no | — |
| 600 | #41 | — | 24 | 1 | no | — |
| 601 | #41 | — | 24 | 1 | no | — |
| 602 | C2×Q8 | — | 3 | 1 | no | — |
| 603 | C2×Q8 | — | 6 | 1 | no | — |
| 604 | C2×Q8 | — | 6 | 1 | no | — |
| 605 | C2×Q8 | — | 6 | 1 | no | — |
| 606 | C2×Q8 | — | 6 | 1 | no | — |
| 607 | C2×Q8 | — | 6 | 1 | no | — |
| 608 | C2×Q8 | — | 6 | 1 | no | — |
| 609 | C2×Q8 | — | 6 | 1 | no | — |
| 610 | C2×Q8 | — | 6 | 1 | no | — |
| 611 | C2×Q8 | — | 12 | 1 | no | — |
| 612 | C2×Q8 | — | 12 | 1 | no | — |
| 613 | C2×Q8 | — | 12 | 1 | no | — |
| 614 | C2×Q8 | — | 12 | 1 | no | — |
| 615 | C2×Q8 | — | 12 | 1 | no | — |
| 616 | C2×Q8 | — | 12 | 1 | no | — |
| 617 | C2×Q8 | — | 12 | 1 | no | — |
| 618 | C2×Q8 | — | 12 | 1 | no | — |
| 619 | C2×Q8 | — | 24 | 1 | no | — |
| 620 | C2×Q8 | — | 24 | 1 | no | — |
| 621 | C2×D4 | — | 3 | 1 | no | — |
| 622 | C2×D4 | — | 3 | 1 | no | — |
| 623 | C2×D4 | — | 3 | 1 | no | — |
| 624 | C2×D4 | — | 6 | 1 | no | — |
| 625 | C2×D4 | — | 6 | 1 | no | — |
| 626 | C2×D4 | — | 6 | 1 | no | — |
| 627 | C2×D4 | — | 6 | 1 | no | — |
| 628 | C2×D4 | — | 6 | 1 | no | — |
| 629 | C2×D4 | — | 6 | 1 | no | — |
| 630 | C2×D4 | — | 6 | 1 | no | — |
| 631 | C2×D4 | — | 6 | 1 | no | — |
| 632 | C2×D4 | — | 12 | 1 | no | — |
| 633 | C2×D4 | — | 12 | 1 | no | — |
| 634 | C2×D4 | — | 12 | 1 | no | — |
| 635 | C2×D4 | — | 12 | 1 | no | — |
| 636 | C2×D4 | — | 12 | 1 | no | — |
| 637 | C2×D4 | — | 12 | 1 | no | — |
| 638 | C2×D4 | — | 12 | 1 | no | — |
| 639 | C2×D4 | — | 24 | 1 | no | — |
| 640 | C2×D4 | — | 24 | 1 | no | — |
| 641 | C22×C4 | — | 2 | 1 | no | — |
| 642 | C22×C4 | — | 3 | 1 | no | — |
| 643 | C22×C4 | — | 3 | 1 | no | — |
| 644 | C22×C4 | — | 6 | 1 | no | — |
| 645 | C22×C4 | — | 6 | 1 | no | — |
| 646 | C22×C4 | — | 6 | 1 | no | — |
| 647 | C22×C4 | — | 6 | 1 | no | — |
| 648 | C22×C4 | — | 6 | 1 | no | — |
| 649 | C22×C4 | — | 6 | 1 | no | — |
| 650 | C22×C4 | — | 12 | 1 | no | — |
| 651 | C22×C4 | — | 12 | 1 | no | — |
| 652 | C22×C4 | — | 12 | 1 | no | — |
| 653 | C22×C4 | — | 12 | 1 | no | — |
| 654 | C22×C4 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 655 | C22×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 656 | Q16 | — | 12 | 1 | no | — |
| 657 | Q16 | — | 12 | 1 | no | — |
| 658 | Q16 | — | 24 | 1 | no | — |
| 659 | Q16 | — | 24 | 1 | no | — |
| 660 | Q16 | — | 24 | 1 | no | — |
| 661 | Q16 | — | 24 | 1 | no | — |
| 662 | Q16 | — | 24 | 1 | no | — |
| 663 | Q16 | — | 24 | 1 | no | — |
| 664 | Q16 | — | 24 | 1 | no | — |
| 665 | SD16 | — | 12 | 1 | no | — |
| 666 | SD16 | — | 12 | 1 | no | — |
| 667 | SD16 | — | 24 | 1 | no | — |
| 668 | SD16 | — | 24 | 1 | no | — |
| 669 | SD16 | — | 24 | 1 | no | — |
| 670 | SD16 | — | 24 | 1 | no | — |
| 671 | SD16 | — | 24 | 1 | no | — |
| 672 | SD16 | — | 24 | 1 | no | — |
| 673 | SD16 | — | 24 | 1 | no | — |
| 674 | M16 | — | 4 | 1 | no | — |
| 675 | M16 | — | 6 | 1 | no | — |
| 676 | M16 | — | 6 | 1 | no | — |
| 677 | M16 | — | 12 | 1 | no | — |
| 678 | M16 | — | 12 | 1 | no | — |
| 679 | M16 | — | 12 | 1 | no | — |
| 680 | M16 | — | 12 | 1 | no | — |
| 681 | M16 | — | 12 | 1 | no | — |
| 682 | M16 | — | 12 | 1 | no | — |
| 683 | M16 | — | 12 | 1 | no | — |
| 684 | M16 | — | 12 | 1 | no | — |
| 685 | M16 | — | 12 | 1 | no | — |
| 686 | M16 | — | 12 | 1 | no | — |
| 687 | C2×C8 | — | 3 | 1 | no | — |
| 688 | C2×C8 | — | 3 | 1 | no | — |
| 689 | C2×C8 | — | 3 | 1 | no | — |
| 690 | C2×C8 | — | 3 | 1 | no | — |
| 691 | C2×C8 | — | 6 | 1 | no | — |
| 692 | C2×C8 | — | 6 | 1 | no | — |
| 693 | C2×C8 | — | 6 | 1 | no | — |
| 694 | C2×C8 | — | 6 | 1 | no | — |
| 695 | C2×C8 | — | 6 | 1 | no | — |
| 696 | C2×C8 | — | 6 | 1 | no | — |
| 697 | C2×C8 | — | 6 | 1 | no | — |
| 698 | C2×C8 | — | 6 | 1 | no | — |
| 699 | C2×C8 | — | 12 | 1 | no | — |
| 700 | C2×C8 | — | 12 | 1 | no | — |
| 701 | C2×C8 | — | 12 | 1 | no | — |
| 702 | C4⋊C4 | — | 6 | 1 | no | — |
| 703 | C4⋊C4 | — | 6 | 1 | no | — |
| 704 | C4⋊C4 | — | 6 | 1 | no | — |
| 705 | C4⋊C4 | — | 6 | 1 | no | — |
| 706 | C4⋊C4 | — | 6 | 1 | no | — |
| 707 | C4⋊C4 | — | 6 | 1 | no | — |
| 708 | C4⋊C4 | — | 6 | 1 | no | — |
| 709 | C4⋊C4 | — | 12 | 1 | no | — |
| 710 | C4⋊C4 | — | 12 | 1 | no | — |
| 711 | C4⋊C4 | — | 12 | 1 | no | — |
| 712 | C4⋊C4 | — | 12 | 1 | no | — |
| 713 | C4⋊C4 | — | 12 | 1 | no | — |
| 714 | C4⋊C4 | — | 12 | 1 | no | — |
| 715 | C4⋊C4 | — | 12 | 1 | no | — |
| 716 | C4⋊C4 | — | 12 | 1 | no | — |
| 717 | C4⋊C4 | — | 12 | 1 | no | — |
| 718 | C4⋊C4 | — | 12 | 1 | no | — |
| 719 | C4⋊C4 | — | 12 | 1 | no | — |
| 720 | C4⋊C4 | — | 12 | 1 | no | — |
| 721 | C4⋊C4 | — | 12 | 1 | no | — |
| 722 | C4⋊C4 | — | 12 | 1 | no | — |
| 723 | C4⋊C4 | — | 12 | 1 | no | — |
| 724 | C4⋊C4 | — | 12 | 1 | no | — |
| 725 | C4⋊C4 | — | 12 | 1 | no | — |
| 726 | C4⋊C4 | — | 12 | 1 | no | — |
| 727 | C4⋊C4 | — | 12 | 1 | no | — |
| 728 | C4⋊C4 | — | 12 | 1 | no | — |
| 729 | C4⋊C4 | — | 24 | 1 | no | — |
| 730 | C4⋊C4 | — | 24 | 1 | no | — |
| 731 | C22⋊C4 | — | 3 | 1 | no | — |
| 732 | C22⋊C4 | — | 3 | 1 | no | — |
| 733 | C22⋊C4 | — | 6 | 1 | no | — |
| 734 | C22⋊C4 | — | 6 | 1 | no | — |
| 735 | C22⋊C4 | — | 6 | 1 | no | — |
| 736 | C22⋊C4 | — | 6 | 1 | no | — |
| 737 | C22⋊C4 | — | 6 | 1 | no | — |
| 738 | C22⋊C4 | — | 6 | 1 | no | — |
| 739 | C22⋊C4 | — | 6 | 1 | no | — |
| 740 | C22⋊C4 | — | 6 | 1 | no | — |
| 741 | C22⋊C4 | — | 12 | 1 | no | — |
| 742 | C22⋊C4 | — | 12 | 1 | no | — |
| 743 | C22⋊C4 | — | 12 | 1 | no | — |
| 744 | C22⋊C4 | — | 12 | 1 | no | — |
| 745 | C22⋊C4 | — | 12 | 1 | no | — |
| 746 | C22⋊C4 | — | 12 | 1 | no | — |
| 747 | C22⋊C4 | — | 12 | 1 | no | — |
| 748 | C22⋊C4 | — | 12 | 1 | no | — |
| 749 | C22⋊C4 | — | 12 | 1 | no | — |
| 750 | C22⋊C4 | — | 12 | 1 | no | — |
| 751 | C22⋊C4 | — | 12 | 1 | no | — |
| 752 | C22⋊C4 | — | 12 | 1 | no | — |
| 753 | C22⋊C4 | — | 12 | 1 | no | — |
| 754 | C22⋊C4 | — | 12 | 1 | no | — |
| 755 | C22⋊C4 | — | 12 | 1 | no | — |
| 756 | C22⋊C4 | — | 12 | 1 | no | — |
| 757 | C22⋊C4 | — | 12 | 1 | no | — |
| 758 | C22⋊C4 | — | 12 | 1 | no | — |
| 759 | C22⋊C4 | — | 24 | 1 | no | — |
| 760 | C22⋊C4 | — | 24 | 1 | no | — |
| 761 | C22⋊C4 | — | 24 | 1 | no | — |
| 762 | C22⋊C4 | — | 24 | 1 | no | — |
| 763 | C42 | — | 6 | 1 | no | — |
| 764 | C42 | — | 6 | 1 | no | — |
| 765 | C42 | — | 6 | 1 | no | — |
| 766 | C42 | — | 6 | 1 | no | — |
| 767 | C42 | — | 6 | 1 | no | — |
| 768 | C42 | — | 12 | 1 | no | — |
| 769 | C42 | — | 12 | 1 | no | — |
| 770 | C42 | — | 12 | 1 | no | — |
| 771 | C42 | — | 12 | 1 | no | — |
| 772 | C42 | — | 12 | 1 | no | — |
| 773 | C42 | — | 12 | 1 | no | — |
| 774 | C22×C3 | — | 16 | 1 | no | — |
| 775 | C2×D3 | — | 32 | 1 | no | — |
| 776 | A4 | — | 4 | 1 | no | — |
| 777 | A4 | — | 8 | 1 | no | — |
| 778 | C3×C4 | — | 16 | 1 | no | — |
| 779 | C3×C4 | — | 16 | 1 | no | — |
| 780 | Dic3 | — | 32 | 1 | no | — |
| 781 | Dic3 | — | 32 | 1 | no | — |
| 782 | Dic3 | — | 32 | 1 | no | — |
| 783 | C23 | — | 2 | 1 | no | — |
| 784 | C23 | — | 3 | 1 | no | — |
| 785 | C23 | — | 3 | 1 | no | — |
| 786 | C23 | — | 6 | 1 | no | — |
| 787 | C23 | — | 6 | 1 | no | — |
| 788 | C23 | — | 8 | 1 | no | — |
| 789 | C23 | — | 12 | 1 | no | — |
| 790 | C23 | — | 24 | 1 | no | — |
| 791 | C23 | — | 48 | 1 | no | — |
| 792 | C23 | C2×C4⋊S4 | 1 | 1 | yes | characteristic |
| 793 | Q8 | — | 2 | 1 | no | — |
| 794 | Q8 | — | 6 | 1 | no | — |
| 795 | Q8 | — | 12 | 1 | no | — |
| 796 | Q8 | — | 12 | 1 | no | — |
| 797 | Q8 | — | 12 | 1 | no | — |
| 798 | Q8 | — | 12 | 1 | no | — |
| 799 | Q8 | — | 12 | 1 | no | — |
| 800 | Q8 | — | 12 | 1 | no | — |
| 801 | Q8 | — | 12 | 1 | no | — |
| 802 | Q8 | — | 24 | 1 | no | — |
| 803 | Q8 | — | 24 | 1 | no | — |
| 804 | Q8 | — | 24 | 1 | no | — |
| 805 | Q8 | — | 48 | 1 | no | — |
| 806 | Q8 | — | 48 | 1 | no | — |
| 807 | D4 | — | 6 | 1 | no | — |
| 808 | D4 | — | 6 | 1 | no | — |
| 809 | D4 | — | 12 | 1 | no | — |
| 810 | D4 | — | 12 | 1 | no | — |
| 811 | D4 | — | 12 | 1 | no | — |
| 812 | D4 | — | 12 | 1 | no | — |
| 813 | D4 | — | 12 | 1 | no | — |
| 814 | D4 | — | 12 | 1 | no | — |
| 815 | D4 | — | 24 | 1 | no | — |
| 816 | D4 | — | 24 | 1 | no | — |
| 817 | D4 | — | 24 | 1 | no | — |
| 818 | D4 | — | 48 | 1 | no | — |
| 819 | D4 | — | 48 | 1 | no | — |
| 820 | D4 | — | 48 | 1 | no | — |
| 821 | D4 | — | 48 | 1 | no | — |
| 822 | D4 | — | 96 | 1 | no | — |
| 823 | D4 | — | 96 | 1 | no | — |
| 824 | C2×C4 | — | 3 | 1 | no | — |
| 825 | C2×C4 | — | 3 | 1 | no | — |
| 826 | C2×C4 | — | 3 | 1 | no | — |
| 827 | C2×C4 | — | 3 | 1 | no | — |
| 828 | C2×C4 | — | 4 | 1 | no | — |
| 829 | C2×C4 | — | 6 | 1 | no | — |
| 830 | C2×C4 | — | 6 | 1 | no | — |
| 831 | C2×C4 | — | 6 | 1 | no | — |
| 832 | C2×C4 | — | 6 | 1 | no | — |
| 833 | C2×C4 | — | 6 | 1 | no | — |
| 834 | C2×C4 | — | 6 | 1 | no | — |
| 835 | C2×C4 | — | 6 | 1 | no | — |
| 836 | C2×C4 | — | 6 | 1 | no | — |
| 837 | C2×C4 | — | 6 | 1 | no | — |
| 838 | C2×C4 | — | 12 | 1 | no | — |
| 839 | C2×C4 | — | 12 | 1 | no | — |
| 840 | C2×C4 | — | 12 | 1 | no | — |
| 841 | C2×C4 | — | 12 | 1 | no | — |
| 842 | C2×C4 | — | 12 | 1 | no | — |
| 843 | C2×C4 | — | 12 | 1 | no | — |
| 844 | C2×C4 | — | 12 | 1 | no | — |
| 845 | C2×C4 | — | 12 | 1 | no | — |
| 846 | C2×C4 | — | 12 | 1 | no | — |
| 847 | C2×C4 | — | 24 | 2 | no | — |
| 848 | C2×C4 | — | 24 | 1 | no | — |
| 849 | C2×C4 | — | 24 | 1 | no | — |
| 850 | C2×C4 | — | 24 | 1 | no | — |
| 851 | C2×C4 | — | 24 | 1 | no | — |
| 852 | C2×C4 | — | 24 | 1 | no | — |
| 853 | C2×C4 | — | 48 | 1 | no | — |
| 854 | C2×C4 | — | 48 | 1 | no | — |
| 855 | C2×C4 | — | 48 | 1 | no | — |
| 856 | C8 | — | 3 | 1 | no | — |
| 857 | C8 | — | 4 | 1 | no | — |
| 858 | C8 | — | 6 | 1 | no | — |
| 859 | C8 | — | 6 | 1 | no | — |
| 860 | C8 | — | 12 | 1 | no | — |
| 861 | C8 | — | 24 | 1 | no | — |
| 862 | C8 | — | 24 | 1 | no | — |
| 863 | C8 | #1020⋊C2 | 1 | 1 | yes | characteristic |
| 864 | C2×C3 | — | 16 | 1 | no | — |
| 865 | C2×C3 | — | 32 | 1 | no | — |
| 866 | D3 | — | 64 | 1 | no | — |
| 867 | C22 | — | 3 | 1 | no | — |
| 868 | C22 | — | 4 | 1 | no | — |
| 869 | C22 | — | 4 | 1 | no | — |
| 870 | C22 | — | 6 | 1 | no | — |
| 871 | C22 | — | 6 | 1 | no | — |
| 872 | C22 | — | 8 | 1 | no | — |
| 873 | C22 | — | 12 | 1 | no | — |
| 874 | C22 | — | 12 | 1 | no | — |
| 875 | C22 | — | 12 | 1 | no | — |
| 876 | C22 | — | 12 | 1 | no | — |
| 877 | C22 | — | 24 | 1 | no | — |
| 878 | C22 | — | 24 | 1 | no | — |
| 879 | C22 | — | 24 | 1 | no | — |
| 880 | C22 | — | 24 | 1 | no | — |
| 881 | C22 | — | 48 | 1 | no | — |
| 882 | C22 | — | 48 | 1 | no | — |
| 883 | C4 | — | 3 | 1 | no | — |
| 884 | C4 | — | 4 | 1 | no | — |
| 885 | C4 | — | 6 | 1 | no | — |
| 886 | C4 | — | 6 | 1 | no | — |
| 887 | C4 | — | 12 | 1 | no | — |
| 888 | C4 | — | 12 | 1 | no | — |
| 889 | C4 | — | 24 | 1 | no | — |
| 890 | C4 | — | 24 | 1 | no | — |
| 891 | C4 | — | 24 | 1 | no | — |
| 892 | C4 | — | 24 | 1 | no | — |
| 893 | C4 | — | 24 | 1 | no | — |
| 894 | C4 | — | 24 | 1 | no | — |
| 895 | C4 | — | 24 | 1 | no | — |
| 896 | C4 | — | 48 | 1 | no | — |
| 897 | C4 | — | 48 | 1 | no | — |
| 898 | C4 | C2×#1020⋊C2 | 1 | 1 | yes | characteristic |
| 899 | C3 | — | 16 | 1 | no | Sylow |
| 900 | C2 | — | 6 | 1 | no | — |
| 901 | C2 | — | 8 | 1 | no | — |
| 902 | C2 | — | 12 | 1 | no | — |
| 903 | C2 | — | 12 | 1 | no | — |
| 904 | C2 | — | 48 | 1 | no | — |
| 905 | C2 | #11713272 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11715740 | C2 | semidirect |
| 2. #11715735 | C2 | semidirect |
| 4. #11714177 | C2 | semidirect |
| 5. #11711649 | C2 | semidirect |
| 6. #11711647 | C2 | semidirect |
| 7. #21484⋊C3 | C2 | semidirect |
| 26. #21484 | D3 | semidirect |
| 146. C22×M16 | S4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11715740 | 2 |
| #11715735 | 2 |
| #11714179 | 2 |
| #11714177 | 2 |
| #11711649 | 2 |
| #11711647 | 2 |
| #21484⋊C3 | 2 |
| #500803 | 3 |
| #85444 | 4 |