Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
2805 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 2805 conjugacy classes of subgroups — too many to draw. Only its 50 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 | #11715841 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11715840 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11715737 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11715715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11715713 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11715688 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11710899 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #6573737 | — | 3 | 1 | no | maximal, Sylow |
| 9 | #87548 | C22 | 1 | 1 | yes | characteristic |
| 10 | #87547 | C22 | 1 | 1 | yes | characteristic |
| 11 | #87519 | — | 2 | 1 | no | — |
| 12 | #87519 | C22 | 1 | 1 | yes | characteristic |
| 13 | #87517 | — | 2 | 1 | no | — |
| 14 | #87517 | C22 | 1 | 1 | yes | characteristic |
| 15 | #87517 | C22 | 1 | 1 | yes | characteristic |
| 16 | #87515 | — | 2 | 1 | no | — |
| 17 | C2×#5932 | — | 2 | 1 | no | — |
| 18 | #85666 | C22 | 1 | 1 | yes | characteristic |
| 19 | #85566 | C22 | 1 | 1 | yes | characteristic |
| 20 | #85461 | — | 4 | 3 | no | maximal |
| 21 | #63092 | D3 | 1 | 1 | yes | characteristic, complemented |
| 22 | #61060 | — | 3 | 3 | no | — |
| 23 | #60401 | — | 3 | 1 | no | — |
| 24 | #60400 | — | 3 | 1 | no | — |
| 25 | #32949 | — | 3 | 1 | no | — |
| 26 | #32897 | — | 3 | 1 | no | — |
| 27 | #32896 | — | 3 | 1 | no | — |
| 28 | #25800 | — | 3 | 3 | no | — |
| 29 | #24411 | — | 3 | 3 | no | — |
| 30 | #24409 | — | 3 | 3 | no | — |
| 31 | #24286 | — | 3 | 3 | no | — |
| 32 | #23885 | — | 3 | 3 | no | — |
| 33 | #23883 | — | 3 | 3 | no | — |
| 34 | #22456 | — | 3 | 3 | no | — |
| 35 | #21484 | — | 3 | 1 | no | — |
| 36 | #5950 | — | 2 | 1 | no | — |
| 37 | #5950 | C23 | 1 | 1 | yes | characteristic |
| 38 | C2×#997 | — | 2 | 1 | no | — |
| 39 | #5934 | D4 | 1 | 1 | yes | characteristic |
| 40 | #5932 | — | 2 | 1 | no | — |
| 41 | #5932 | — | 2 | 1 | no | — |
| 42 | #5932 | D4 | 1 | 1 | yes | characteristic |
| 43 | Q8×S4 | — | 4 | 3 | no | — |
| 44 | #5914 | — | 4 | 3 | no | — |
| 45 | #577⋊C3 | — | 8 | 1 | no | — |
| 46 | A4×SD16 | — | 4 | 3 | no | — |
| 47 | #5416 | — | 4 | 3 | no | — |
| 48 | #5414 | — | 4 | 3 | no | — |
| 49 | #5400 | — | 4 | 3 | no | — |
| 50 | #5398 | — | 4 | 3 | no | — |
| 51 | 2−1+6 | C2×D3 | 1 | 1 | yes | characteristic |
| 52 | H(7,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic |
| 53 | #3586 | — | 3 | 3 | no | — |
| 54 | #3586 | — | 6 | 1 | no | — |
| 55 | #3585 | — | 3 | 3 | no | — |
| 56 | #3585 | — | 6 | 1 | no | — |
| 57 | #3584 | — | 3 | 3 | no | — |
| 58 | #3584 | — | 6 | 1 | no | — |
| 59 | C2×#577 | — | 3 | 3 | no | — |
| 60 | C2×#577 | — | 6 | 1 | no | — |
| 61 | C22×#137 | — | 3 | 1 | no | — |
| 62 | #3573 | C2×D3 | 1 | 1 | yes | characteristic |
| 63 | #3486 | — | 3 | 3 | no | — |
| 64 | #3485 | — | 3 | 3 | no | — |
| 65 | #3276 | — | 6 | 3 | no | — |
| 66 | #3276 | — | 6 | 3 | no | — |
| 67 | #3275 | — | 6 | 3 | no | — |
| 68 | #3275 | — | 6 | 3 | no | — |
| 69 | #3269 | — | 6 | 3 | no | — |
| 70 | #3269 | — | 6 | 3 | no | — |
| 71 | #3266 | — | 6 | 3 | no | — |
| 72 | #3266 | — | 6 | 3 | no | — |
| 73 | #3156 | — | 3 | 3 | no | — |
| 74 | #3059 | — | 3 | 3 | no | — |
| 75 | #3054 | — | 3 | 3 | no | — |
| 76 | #3044 | — | 3 | 3 | no | — |
| 77 | #3042 | — | 3 | 3 | no | — |
| 78 | #3028 | — | 3 | 3 | no | — |
| 79 | #3028 | — | 3 | 3 | no | — |
| 80 | #3028 | — | 3 | 1 | no | — |
| 81 | #3028 | — | 3 | 1 | no | — |
| 82 | #3028 | — | 6 | 1 | no | — |
| 83 | #3028 | — | 6 | 3 | no | — |
| 84 | #3026 | — | 6 | 1 | no | — |
| 85 | #3026 | — | 6 | 3 | no | — |
| 86 | #3025 | — | 3 | 3 | no | — |
| 87 | #3025 | — | 3 | 3 | no | — |
| 88 | #3025 | — | 3 | 1 | no | — |
| 89 | #3025 | — | 6 | 1 | no | — |
| 90 | #3025 | — | 6 | 3 | no | — |
| 91 | C2×#458 | — | 6 | 1 | no | — |
| 92 | C2×#458 | — | 6 | 3 | no | — |
| 93 | #3022 | — | 3 | 3 | no | — |
| 94 | #3022 | — | 3 | 3 | no | — |
| 95 | #3011 | — | 3 | 3 | no | — |
| 96 | #3009 | — | 3 | 3 | no | — |
| 97 | #3005 | — | 3 | 3 | no | — |
| 98 | #3004 | — | 3 | 3 | no | — |
| 99 | #2949 | — | 3 | 3 | no | — |
| 100 | #2930 | — | 3 | 3 | no | — |
| 101 | #2884 | — | 3 | 3 | no | — |
| 102 | #2883 | — | 3 | 3 | no | — |
| 103 | #2053 | — | 3 | 6 | no | — |
| 104 | #2010 | — | 3 | 6 | no | — |
| 105 | #2009 | — | 3 | 6 | no | — |
| 106 | #2009 | — | 3 | 6 | no | — |
| 107 | #1976 | — | 3 | 6 | no | — |
| 108 | #1909 | — | 3 | 3 | no | — |
| 109 | #1909 | — | 3 | 3 | no | — |
| 110 | #1905 | — | 3 | 6 | no | — |
| 111 | #1904 | — | 3 | 6 | no | — |
| 112 | #1891 | — | 3 | 3 | no | — |
| 113 | #1868 | — | 3 | 3 | no | — |
| 114 | #1812 | — | 3 | 3 | no | — |
| 115 | #1796 | — | 3 | 3 | no | — |
| 116 | #1795 | — | 3 | 3 | no | — |
| 117 | #1794 | — | 3 | 3 | no | — |
| 118 | #1794 | — | 3 | 3 | no | — |
| 119 | #1791 | — | 3 | 1 | no | — |
| 120 | #1757 | — | 3 | 3 | no | — |
| 121 | #997 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | 2−1+4⋊C3 | — | 8 | 1 | no | — |
| 123 | #994 | — | 8 | 1 | no | — |
| 124 | Q8×A4 | — | 4 | 3 | no | — |
| 125 | D4×A4 | — | 4 | 3 | no | — |
| 126 | GL(2,ℤ/4) | — | 8 | 3 | no | — |
| 127 | C2×SL(2,ℤ/4) | — | 8 | 3 | no | — |
| 128 | C4×S4 | — | 4 | 3 | no | — |
| 129 | C4×S4 | — | 8 | 3 | no | — |
| 130 | A4⋊Q8 | — | 4 | 3 | no | — |
| 131 | A4⋊Q8 | — | 4 | 3 | no | — |
| 132 | A4⋊Q8 | — | 8 | 3 | no | — |
| 133 | #915 | — | 16 | 1 | no | — |
| 134 | #131⋊C3 | — | 8 | 1 | no | — |
| 135 | C8×A4 | — | 4 | 3 | no | — |
| 136 | A4⋊C8 | — | 4 | 3 | no | — |
| 137 | #585 | — | 2 | 1 | no | — |
| 138 | #585 | — | 3 | 3 | no | — |
| 139 | #585 | — | 3 | 3 | no | — |
| 140 | #585 | — | 6 | 1 | no | — |
| 141 | #585 | — | 6 | 1 | no | — |
| 142 | #585 | — | 6 | 3 | no | — |
| 143 | #585 | — | 12 | 1 | no | — |
| 144 | #585 | C22×D3 | 1 | 1 | yes | characteristic |
| 145 | C2×2−1+4 | — | 3 | 3 | no | — |
| 146 | C2×2−1+4 | — | 6 | 1 | no | — |
| 147 | C2×2−1+4 | — | 12 | 1 | no | — |
| 148 | C2×H(5,𝔽2) | — | 2 | 1 | no | — |
| 149 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 150 | C2×H(5,𝔽2) | — | 6 | 1 | no | — |
| 151 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 152 | C22×#41 | — | 3 | 1 | no | — |
| 153 | C23×Q8 | — | 3 | 1 | no | — |
| 154 | #578 | — | 6 | 6 | no | — |
| 155 | #578 | — | 6 | 3 | no | — |
| 156 | #578 | — | 6 | 1 | no | — |
| 157 | #577 | — | 2 | 1 | no | — |
| 158 | #577 | — | 6 | 1 | no | — |
| 159 | #577 | — | 6 | 3 | no | — |
| 160 | #577 | — | 6 | 6 | no | — |
| 161 | #577 | — | 6 | 3 | no | — |
| 162 | #577 | — | 6 | 6 | no | — |
| 163 | #577 | — | 6 | 6 | no | — |
| 164 | #577 | — | 6 | 6 | no | — |
| 165 | #577 | — | 6 | 2 | no | — |
| 166 | #576 | — | 6 | 6 | no | — |
| 167 | #576 | — | 6 | 3 | no | — |
| 168 | #576 | — | 6 | 1 | no | — |
| 169 | #575 | — | 3 | 6 | no | — |
| 170 | #575 | — | 6 | 3 | no | — |
| 171 | #575 | — | 6 | 3 | no | — |
| 172 | #575 | — | 6 | 3 | no | — |
| 173 | #575 | — | 6 | 3 | no | — |
| 174 | C2×#137 | — | 3 | 3 | no | — |
| 175 | C2×#137 | — | 3 | 3 | no | — |
| 176 | C2×#137 | — | 3 | 3 | no | — |
| 177 | C2×#137 | — | 3 | 3 | no | — |
| 178 | C2×#137 | — | 3 | 3 | no | — |
| 179 | C2×#137 | — | 6 | 3 | no | — |
| 180 | C2×#137 | — | 6 | 3 | no | — |
| 181 | C2×#137 | — | 6 | 3 | no | — |
| 182 | C2×#137 | — | 6 | 3 | no | — |
| 183 | C2×#137 | — | 6 | 3 | no | — |
| 184 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 185 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 186 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 187 | C2×AGL(1,ℤ/8) | — | 6 | 3 | no | — |
| 188 | C2×#135 | — | 3 | 3 | no | — |
| 189 | C2×#135 | — | 3 | 3 | no | — |
| 190 | C2×#135 | — | 3 | 3 | no | — |
| 191 | C2×#135 | — | 6 | 3 | no | — |
| 192 | C22×Q16 | — | 3 | 1 | no | — |
| 193 | C22×Q16 | — | 3 | 1 | no | — |
| 194 | C22×SD16 | — | 3 | 1 | no | — |
| 195 | C22×SD16 | — | 3 | 3 | no | — |
| 196 | C22×SD16 | — | 3 | 1 | no | — |
| 197 | C22×SD16 | S4 | 1 | 3 | yes | complemented |
| 198 | #568 | — | 3 | 3 | no | — |
| 199 | #568 | — | 6 | 1 | no | — |
| 200 | C2×#131 | — | 3 | 3 | no | — |
| 201 | C2×#131 | — | 6 | 1 | no | — |
| 202 | C22×M16 | — | 3 | 1 | no | — |
| 203 | D4×Q8 | — | 6 | 3 | no | — |
| 204 | D4×Q8 | — | 6 | 3 | no | — |
| 205 | D4×Q8 | — | 12 | 3 | no | — |
| 206 | #548 | — | 6 | 3 | no | — |
| 207 | #548 | — | 6 | 3 | no | — |
| 208 | #548 | — | 12 | 3 | no | — |
| 209 | #547 | — | 6 | 3 | no | — |
| 210 | #547 | — | 6 | 3 | no | — |
| 211 | #547 | — | 12 | 3 | no | — |
| 212 | #546 | — | 6 | 3 | no | — |
| 213 | #546 | — | 6 | 3 | no | — |
| 214 | #546 | — | 12 | 3 | no | — |
| 215 | #536 | — | 3 | 3 | no | — |
| 216 | #536 | — | 3 | 3 | no | — |
| 217 | #536 | — | 3 | 3 | no | — |
| 218 | #536 | — | 3 | 3 | no | — |
| 219 | #536 | — | 6 | 3 | no | — |
| 220 | #536 | — | 6 | 3 | no | — |
| 221 | #534 | — | 6 | 3 | no | — |
| 222 | #534 | — | 6 | 3 | no | — |
| 223 | #525 | — | 3 | 3 | no | — |
| 224 | #525 | — | 3 | 3 | no | — |
| 225 | #525 | — | 3 | 3 | no | — |
| 226 | #525 | — | 6 | 3 | no | — |
| 227 | #525 | — | 6 | 3 | no | — |
| 228 | C2×#123 | — | 6 | 3 | no | — |
| 229 | C2×#123 | — | 6 | 3 | no | — |
| 230 | #519 | — | 3 | 3 | no | — |
| 231 | #518 | — | 3 | 3 | no | — |
| 232 | #497 | — | 6 | 3 | no | — |
| 233 | #497 | — | 6 | 3 | no | — |
| 234 | #495 | — | 6 | 3 | no | — |
| 235 | #494 | — | 6 | 3 | no | — |
| 236 | #470 | — | 6 | 3 | no | — |
| 237 | #470 | — | 6 | 3 | no | — |
| 238 | #470 | — | 6 | 3 | no | — |
| 239 | #469 | — | 6 | 3 | no | — |
| 240 | #468 | — | 6 | 3 | no | — |
| 241 | #468 | — | 6 | 3 | no | — |
| 242 | #467 | — | 6 | 3 | no | — |
| 243 | #467 | — | 6 | 3 | no | — |
| 244 | #464 | — | 6 | 3 | no | — |
| 245 | #464 | — | 6 | 3 | no | — |
| 246 | #463 | — | 6 | 3 | no | — |
| 247 | #463 | — | 6 | 3 | no | — |
| 248 | #462 | — | 6 | 3 | no | — |
| 249 | #462 | — | 6 | 3 | no | — |
| 250 | #461 | — | 6 | 3 | no | — |
| 251 | #461 | — | 6 | 3 | no | — |
| 252 | #458 | — | 3 | 3 | no | — |
| 253 | #458 | — | 3 | 1 | no | — |
| 254 | #458 | — | 6 | 3 | no | — |
| 255 | #458 | — | 6 | 3 | no | — |
| 256 | #458 | — | 6 | 6 | no | — |
| 257 | #458 | — | 6 | 3 | no | — |
| 258 | #458 | — | 6 | 3 | no | — |
| 259 | #458 | — | 6 | 6 | no | — |
| 260 | #458 | — | 6 | 3 | no | — |
| 261 | #458 | — | 6 | 3 | no | — |
| 262 | #458 | — | 6 | 3 | no | — |
| 263 | #458 | — | 6 | 3 | no | — |
| 264 | #458 | — | 6 | 3 | no | — |
| 265 | #458 | — | 6 | 3 | no | — |
| 266 | #458 | — | 6 | 1 | no | — |
| 267 | #458 | — | 6 | 1 | no | — |
| 268 | B(4,𝔽2) | — | 3 | 3 | no | — |
| 269 | B(4,𝔽2) | — | 3 | 1 | no | — |
| 270 | B(4,𝔽2) | — | 6 | 3 | no | — |
| 271 | B(4,𝔽2) | — | 6 | 3 | no | — |
| 272 | B(4,𝔽2) | — | 6 | 3 | no | — |
| 273 | B(4,𝔽2) | — | 6 | 3 | no | — |
| 274 | #456 | — | 12 | 3 | no | — |
| 275 | #456 | — | 12 | 3 | no | — |
| 276 | #455 | — | 12 | 3 | no | — |
| 277 | #455 | — | 12 | 3 | no | — |
| 278 | #452 | — | 6 | 3 | no | — |
| 279 | #452 | — | 6 | 3 | no | — |
| 280 | #452 | — | 6 | 3 | no | — |
| 281 | #452 | — | 6 | 3 | no | — |
| 282 | #452 | — | 6 | 3 | no | — |
| 283 | #452 | — | 6 | 3 | no | — |
| 284 | #451 | — | 6 | 3 | no | — |
| 285 | #451 | — | 6 | 3 | no | — |
| 286 | #451 | — | 6 | 3 | no | — |
| 287 | #451 | — | 6 | 3 | no | — |
| 288 | #450 | — | 6 | 3 | no | — |
| 289 | #450 | — | 6 | 3 | no | — |
| 290 | #449 | — | 6 | 3 | no | — |
| 291 | #449 | — | 6 | 3 | no | — |
| 292 | #448 | — | 6 | 3 | no | — |
| 293 | #448 | — | 6 | 3 | no | — |
| 294 | #440 | — | 6 | 3 | no | — |
| 295 | #440 | — | 6 | 3 | no | — |
| 296 | C4×SD16 | — | 6 | 3 | no | — |
| 297 | C4×SD16 | — | 6 | 3 | no | — |
| 298 | #436 | — | 6 | 3 | no | — |
| 299 | #436 | — | 6 | 3 | no | — |
| 300 | #435 | — | 6 | 3 | no | — |
| 301 | #435 | — | 6 | 3 | no | — |
| 302 | #427 | — | 3 | 3 | no | — |
| 303 | #424 | — | 3 | 3 | no | — |
| 304 | #421 | — | 3 | 6 | no | — |
| 305 | #421 | — | 3 | 6 | no | — |
| 306 | #419 | — | 3 | 3 | no | — |
| 307 | #419 | — | 3 | 3 | no | — |
| 308 | #419 | — | 3 | 3 | no | — |
| 309 | #418 | — | 3 | 3 | no | — |
| 310 | #416 | — | 3 | 3 | no | — |
| 311 | #416 | — | 3 | 3 | no | — |
| 312 | #413 | — | 3 | 3 | no | — |
| 313 | #410 | — | 3 | 3 | no | — |
| 314 | #410 | — | 3 | 3 | no | — |
| 315 | #410 | — | 3 | 3 | no | — |
| 316 | #410 | — | 3 | 6 | no | — |
| 317 | #410 | — | 3 | 6 | no | — |
| 318 | #410 | — | 6 | 3 | no | — |
| 319 | #410 | — | 6 | 3 | no | — |
| 320 | #410 | — | 6 | 6 | no | — |
| 321 | C2×#99 | — | 6 | 3 | no | — |
| 322 | C2×#99 | — | 6 | 3 | no | — |
| 323 | C2×#99 | — | 6 | 6 | no | — |
| 324 | #408 | — | 3 | 3 | no | — |
| 325 | #407 | — | 3 | 3 | no | — |
| 326 | #405 | — | 3 | 3 | no | — |
| 327 | #344 | — | 3 | 6 | no | — |
| 328 | H(3,ℤ/4) | — | 3 | 6 | no | — |
| 329 | C22×A4 | — | 8 | 3 | no | — |
| 330 | C2×S4 | — | 4 | 3 | no | — |
| 331 | D3×Q8 | — | 16 | 1 | no | — |
| 332 | #237 | — | 16 | 1 | no | — |
| 333 | #41⋊C3 | — | 8 | 1 | no | — |
| 334 | #41⋊C3 | — | 16 | 1 | no | — |
| 335 | C2×SL(2,𝔽3) | — | 16 | 1 | no | — |
| 336 | C4×A4 | — | 4 | 3 | no | — |
| 337 | C4×A4 | — | 8 | 3 | no | — |
| 338 | SL(2,ℤ/4) | — | 4 | 3 | no | — |
| 339 | SL(2,ℤ/4) | — | 8 | 3 | no | — |
| 340 | SL(2,ℤ/4) | — | 8 | 3 | no | — |
| 341 | C3×SD16 | — | 16 | 1 | no | — |
| 342 | #216 | — | 16 | 1 | no | — |
| 343 | #214 | — | 16 | 1 | no | — |
| 344 | Dic12 | — | 16 | 1 | no | — |
| 345 | ΓL(1,𝔽25) | — | 16 | 1 | no | — |
| 346 | 2−1+4 | — | 2 | 1 | no | — |
| 347 | 2−1+4 | — | 6 | 1 | no | — |
| 348 | 2−1+4 | — | 6 | 3 | no | — |
| 349 | 2−1+4 | — | 6 | 6 | no | — |
| 350 | 2−1+4 | — | 6 | 3 | no | — |
| 351 | 2−1+4 | — | 6 | 3 | no | — |
| 352 | 2−1+4 | — | 6 | 3 | no | — |
| 353 | 2−1+4 | — | 6 | 1 | no | — |
| 354 | 2−1+4 | — | 12 | 1 | no | — |
| 355 | 2−1+4 | — | 12 | 1 | no | — |
| 356 | 2−1+4 | — | 12 | 6 | no | — |
| 357 | 2−1+4 | — | 12 | 1 | no | — |
| 358 | 2−1+4 | — | 12 | 3 | no | — |
| 359 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 360 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 361 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 362 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 363 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 364 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 365 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 366 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 367 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 368 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 369 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 370 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 371 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 372 | H(5,𝔽2) | — | 12 | 3 | no | — |
| 373 | H(5,𝔽2) | — | 12 | 3 | no | — |
| 374 | H(5,𝔽2) | — | 12 | 6 | no | — |
| 375 | H(5,𝔽2) | — | 12 | 3 | no | — |
| 376 | H(5,𝔽2) | D3×D4 | 1 | 1 | yes | characteristic |
| 377 | C2×#41 | — | 3 | 3 | no | — |
| 378 | C2×#41 | — | 3 | 3 | no | — |
| 379 | C2×#41 | — | 3 | 3 | no | — |
| 380 | C2×#41 | — | 3 | 3 | no | — |
| 381 | C2×#41 | — | 3 | 3 | no | — |
| 382 | C2×#41 | — | 3 | 3 | no | — |
| 383 | C2×#41 | — | 3 | 3 | no | — |
| 384 | C2×#41 | — | 6 | 3 | no | — |
| 385 | C2×#41 | — | 6 | 3 | no | — |
| 386 | C2×#41 | — | 6 | 1 | no | — |
| 387 | C2×#41 | — | 6 | 3 | no | — |
| 388 | C2×#41 | — | 6 | 3 | no | — |
| 389 | C2×#41 | — | 6 | 3 | no | — |
| 390 | C2×#41 | — | 6 | 3 | no | — |
| 391 | C2×#41 | — | 6 | 3 | no | — |
| 392 | C2×#41 | — | 6 | 3 | no | — |
| 393 | C2×#41 | — | 12 | 1 | no | — |
| 394 | C2×#41 | — | 12 | 1 | no | — |
| 395 | C2×#41 | — | 12 | 3 | no | — |
| 396 | C2×#41 | — | 12 | 6 | no | — |
| 397 | C2×#41 | — | 12 | 6 | no | — |
| 398 | C2×#41 | — | 12 | 3 | no | — |
| 399 | C2×#41 | — | 12 | 3 | no | — |
| 400 | C2×#41 | — | 12 | 3 | no | — |
| 401 | C2×#41 | — | 12 | 1 | no | — |
| 402 | C22×Q8 | — | 3 | 1 | no | — |
| 403 | C22×Q8 | — | 3 | 3 | no | — |
| 404 | C22×Q8 | — | 3 | 1 | no | — |
| 405 | C22×Q8 | — | 3 | 1 | no | — |
| 406 | C22×Q8 | — | 6 | 1 | no | — |
| 407 | C22×Q8 | — | 6 | 3 | no | — |
| 408 | C22×Q8 | — | 6 | 3 | no | — |
| 409 | C22×Q8 | — | 6 | 3 | no | — |
| 410 | C22×Q8 | — | 12 | 3 | no | — |
| 411 | C22×Q8 | — | 12 | 1 | no | — |
| 412 | C22×Q8 | C2×S4 | 1 | 3 | yes | — |
| 413 | C22×D4 | — | 3 | 1 | no | — |
| 414 | C22×D4 | — | 3 | 3 | no | — |
| 415 | C22×D4 | — | 6 | 3 | no | — |
| 416 | C22×D4 | — | 6 | 3 | no | — |
| 417 | C22×D4 | — | 6 | 3 | no | — |
| 418 | C22×D4 | — | 6 | 1 | no | — |
| 419 | C22×D4 | — | 12 | 3 | no | — |
| 420 | C22×D4 | C2×S4 | 1 | 3 | yes | — |
| 421 | C23×C4 | — | 3 | 1 | no | — |
| 422 | C23×C4 | — | 6 | 1 | no | — |
| 423 | C23×C4 | — | 6 | 1 | no | — |
| 424 | #137 | — | 6 | 3 | no | — |
| 425 | #137 | — | 6 | 6 | no | — |
| 426 | #137 | — | 6 | 6 | no | — |
| 427 | #137 | — | 6 | 6 | no | — |
| 428 | #137 | — | 6 | 6 | no | — |
| 429 | #137 | — | 6 | 6 | no | — |
| 430 | #137 | — | 6 | 3 | no | — |
| 431 | #137 | — | 6 | 3 | no | — |
| 432 | #137 | — | 6 | 1 | no | — |
| 433 | #137 | — | 12 | 6 | no | — |
| 434 | #137 | — | 12 | 6 | no | — |
| 435 | #137 | — | 12 | 6 | no | — |
| 436 | #137 | — | 12 | 3 | no | — |
| 437 | #137 | — | 12 | 3 | no | — |
| 438 | #137 | — | 12 | 3 | no | — |
| 439 | #137 | — | 12 | 1 | no | — |
| 440 | AGL(1,ℤ/8) | — | 6 | 3 | no | — |
| 441 | AGL(1,ℤ/8) | — | 6 | 6 | no | — |
| 442 | AGL(1,ℤ/8) | — | 6 | 6 | no | — |
| 443 | AGL(1,ℤ/8) | — | 6 | 6 | no | — |
| 444 | AGL(1,ℤ/8) | — | 6 | 6 | no | — |
| 445 | AGL(1,ℤ/8) | — | 6 | 6 | no | — |
| 446 | AGL(1,ℤ/8) | — | 6 | 3 | no | — |
| 447 | AGL(1,ℤ/8) | — | 6 | 3 | no | — |
| 448 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 449 | #135 | — | 6 | 6 | no | — |
| 450 | #135 | — | 6 | 6 | no | — |
| 451 | #135 | — | 6 | 6 | no | — |
| 452 | #135 | — | 6 | 6 | no | — |
| 453 | #135 | — | 6 | 3 | no | — |
| 454 | #135 | — | 6 | 3 | no | — |
| 455 | #135 | — | 6 | 3 | no | — |
| 456 | #135 | — | 6 | 6 | no | — |
| 457 | #135 | — | 6 | 1 | no | — |
| 458 | C2×Q16 | — | 3 | 3 | no | — |
| 459 | C2×Q16 | — | 3 | 3 | no | — |
| 460 | C2×Q16 | — | 3 | 3 | no | — |
| 461 | C2×Q16 | — | 6 | 3 | no | — |
| 462 | C2×Q16 | — | 6 | 3 | no | — |
| 463 | C2×Q16 | — | 6 | 3 | no | — |
| 464 | C2×Q16 | — | 6 | 3 | no | — |
| 465 | C2×Q16 | — | 6 | 3 | no | — |
| 466 | C2×Q16 | — | 6 | 3 | no | — |
| 467 | C2×Q16 | — | 6 | 3 | no | — |
| 468 | C2×SD16 | — | 3 | 3 | no | — |
| 469 | C2×SD16 | — | 3 | 3 | no | — |
| 470 | C2×SD16 | — | 3 | 3 | no | — |
| 471 | C2×SD16 | — | 3 | 3 | no | — |
| 472 | C2×SD16 | — | 3 | 3 | no | — |
| 473 | C2×SD16 | — | 3 | 3 | no | — |
| 474 | C2×SD16 | — | 3 | 3 | no | — |
| 475 | C2×SD16 | — | 3 | 3 | no | — |
| 476 | C2×SD16 | — | 3 | 3 | no | — |
| 477 | C2×SD16 | — | 3 | 3 | no | — |
| 478 | C2×SD16 | — | 6 | 3 | no | — |
| 479 | C2×SD16 | — | 6 | 6 | no | — |
| 480 | C2×SD16 | — | 6 | 1 | no | — |
| 481 | C2×SD16 | — | 6 | 3 | no | — |
| 482 | C2×SD16 | — | 6 | 3 | no | — |
| 483 | C2×SD16 | — | 6 | 3 | no | — |
| 484 | C2×SD16 | — | 6 | 3 | no | — |
| 485 | C2×D8 | — | 3 | 3 | no | — |
| 486 | C2×D8 | — | 3 | 3 | no | — |
| 487 | C2×D8 | — | 3 | 3 | no | — |
| 488 | C2×D8 | — | 6 | 3 | no | — |
| 489 | #131 | — | 2 | 1 | no | — |
| 490 | #131 | — | 6 | 3 | no | — |
| 491 | #131 | — | 6 | 6 | no | — |
| 492 | #131 | — | 6 | 3 | no | — |
| 493 | #131 | — | 6 | 1 | no | — |
| 494 | C2×M16 | — | 3 | 3 | no | — |
| 495 | C2×M16 | — | 3 | 3 | no | — |
| 496 | C2×M16 | — | 3 | 3 | no | — |
| 497 | C2×M16 | — | 3 | 3 | no | — |
| 498 | C2×M16 | — | 6 | 3 | no | — |
| 499 | C2×M16 | — | 6 | 3 | no | — |
| 500 | C2×M16 | — | 6 | 3 | no | — |
| 501 | C22×C8 | — | 3 | 1 | no | — |
| 502 | C22×C8 | — | 3 | 3 | no | — |
| 503 | C22×C8 | — | 3 | 1 | no | — |
| 504 | C22×C8 | C2×S4 | 1 | 3 | yes | — |
| 505 | C4⋊Q8 | — | 6 | 3 | no | — |
| 506 | C4⋊Q8 | — | 6 | 3 | no | — |
| 507 | C4⋊Q8 | — | 6 | 3 | no | — |
| 508 | C4⋊Q8 | — | 6 | 3 | no | — |
| 509 | C4⋊Q8 | — | 12 | 3 | no | — |
| 510 | C4⋊Q8 | — | 12 | 3 | no | — |
| 511 | #124 | — | 6 | 3 | no | — |
| 512 | #124 | — | 6 | 3 | no | — |
| 513 | #124 | — | 6 | 3 | no | — |
| 514 | #124 | — | 6 | 3 | no | — |
| 515 | #124 | — | 12 | 3 | no | — |
| 516 | #124 | — | 12 | 3 | no | — |
| 517 | #123 | — | 3 | 3 | no | — |
| 518 | #123 | — | 3 | 3 | no | — |
| 519 | #123 | — | 6 | 3 | no | — |
| 520 | #123 | — | 6 | 3 | no | — |
| 521 | #123 | — | 6 | 3 | no | — |
| 522 | #123 | — | 6 | 3 | no | — |
| 523 | #123 | — | 6 | 3 | no | — |
| 524 | #123 | — | 6 | 3 | no | — |
| 525 | #123 | — | 6 | 3 | no | — |
| 526 | #123 | — | 6 | 3 | no | — |
| 527 | #123 | — | 6 | 3 | no | — |
| 528 | #123 | — | 6 | 3 | no | — |
| 529 | #123 | — | 12 | 3 | no | — |
| 530 | #123 | — | 12 | 3 | no | — |
| 531 | #123 | — | 12 | 3 | no | — |
| 532 | #123 | — | 12 | 3 | no | — |
| 533 | #123 | — | 12 | 3 | no | — |
| 534 | #123 | — | 12 | 3 | no | — |
| 535 | C22⋊Q8 | — | 6 | 3 | no | — |
| 536 | C22⋊Q8 | — | 6 | 3 | no | — |
| 537 | C22⋊Q8 | — | 6 | 3 | no | — |
| 538 | C22⋊Q8 | — | 6 | 3 | no | — |
| 539 | C22⋊Q8 | — | 6 | 3 | no | — |
| 540 | C22⋊Q8 | — | 6 | 3 | no | — |
| 541 | C22⋊Q8 | — | 6 | 3 | no | — |
| 542 | C22⋊Q8 | — | 12 | 3 | no | — |
| 543 | C22⋊Q8 | — | 12 | 3 | no | — |
| 544 | C22⋊Q8 | — | 12 | 3 | no | — |
| 545 | C22⋊Q8 | — | 12 | 3 | no | — |
| 546 | C22⋊Q8 | — | 12 | 3 | no | — |
| 547 | C22⋊Q8 | — | 12 | 3 | no | — |
| 548 | C22⋊Q8 | — | 12 | 3 | no | — |
| 549 | C22⋊Q8 | — | 12 | 3 | no | — |
| 550 | #121 | — | 6 | 3 | no | — |
| 551 | #121 | — | 6 | 3 | no | — |
| 552 | #121 | — | 6 | 3 | no | — |
| 553 | #121 | — | 12 | 3 | no | — |
| 554 | #121 | — | 12 | 3 | no | — |
| 555 | #121 | — | 12 | 3 | no | — |
| 556 | #121 | — | 12 | 3 | no | — |
| 557 | #121 | — | 12 | 3 | no | — |
| 558 | #121 | — | 12 | 3 | no | — |
| 559 | #120 | — | 3 | 3 | no | — |
| 560 | #120 | — | 3 | 3 | no | — |
| 561 | #120 | — | 6 | 3 | no | — |
| 562 | #120 | — | 6 | 3 | no | — |
| 563 | #120 | — | 12 | 3 | no | — |
| 564 | #120 | — | 12 | 3 | no | — |
| 565 | C4×Q8 | — | 6 | 3 | no | — |
| 566 | C4×Q8 | — | 6 | 3 | no | — |
| 567 | C4×Q8 | — | 12 | 3 | no | — |
| 568 | C4×D4 | — | 6 | 3 | no | — |
| 569 | C4×D4 | — | 6 | 3 | no | — |
| 570 | C4×D4 | — | 6 | 3 | no | — |
| 571 | C4×D4 | — | 6 | 3 | no | — |
| 572 | C4×D4 | — | 12 | 3 | no | — |
| 573 | C4×D4 | — | 12 | 3 | no | — |
| 574 | C4×D4 | — | 12 | 3 | no | — |
| 575 | C4×D4 | — | 12 | 3 | no | — |
| 576 | C4×D4 | — | 12 | 3 | no | — |
| 577 | C4×D4 | — | 12 | 3 | no | — |
| 578 | C4×D4 | — | 12 | 3 | no | — |
| 579 | #117 | — | 3 | 3 | no | — |
| 580 | #117 | — | 3 | 3 | no | — |
| 581 | #117 | — | 3 | 3 | no | — |
| 582 | #117 | — | 6 | 3 | no | — |
| 583 | #117 | — | 6 | 3 | no | — |
| 584 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 585 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 586 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 587 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 588 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 589 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 590 | #107 | — | 6 | 3 | no | — |
| 591 | #106 | — | 6 | 3 | no | — |
| 592 | C4⋊C8 | — | 6 | 3 | no | — |
| 593 | C4⋊C8 | — | 6 | 3 | no | — |
| 594 | #104 | — | 12 | 6 | no | — |
| 595 | #104 | — | 12 | 6 | no | — |
| 596 | #103 | — | 6 | 3 | no | — |
| 597 | #103 | — | 6 | 3 | no | — |
| 598 | #103 | — | 6 | 3 | no | — |
| 599 | #103 | — | 6 | 3 | no | — |
| 600 | #103 | — | 6 | 3 | no | — |
| 601 | #103 | — | 6 | 3 | no | — |
| 602 | #103 | — | 6 | 3 | no | — |
| 603 | #103 | — | 6 | 3 | no | — |
| 604 | #102 | — | 6 | 3 | no | — |
| 605 | #102 | — | 6 | 3 | no | — |
| 606 | #102 | — | 6 | 3 | no | — |
| 607 | #102 | — | 6 | 3 | no | — |
| 608 | #101 | — | 6 | 3 | no | — |
| 609 | #100 | — | 6 | 3 | no | — |
| 610 | #99 | — | 3 | 6 | no | — |
| 611 | #99 | — | 3 | 3 | no | — |
| 612 | #99 | — | 3 | 3 | no | — |
| 613 | #99 | — | 6 | 6 | no | — |
| 614 | #99 | — | 6 | 6 | no | — |
| 615 | #99 | — | 6 | 6 | no | — |
| 616 | #99 | — | 6 | 6 | no | — |
| 617 | #99 | — | 6 | 3 | no | — |
| 618 | #99 | — | 6 | 3 | no | — |
| 619 | #99 | — | 6 | 3 | no | — |
| 620 | #99 | — | 6 | 3 | no | — |
| 621 | C22⋊C8 | — | 6 | 3 | no | — |
| 622 | C22⋊C8 | — | 6 | 3 | no | — |
| 623 | C22⋊C8 | — | 6 | 3 | no | — |
| 624 | C22⋊C8 | — | 6 | 3 | no | — |
| 625 | #97 | — | 6 | 3 | no | — |
| 626 | C4×C8 | — | 6 | 3 | no | — |
| 627 | C2×A4 | — | 4 | 3 | no | — |
| 628 | C2×A4 | — | 16 | 3 | no | — |
| 629 | S4 | — | 8 | 3 | no | — |
| 630 | C3×Q8 | — | 16 | 1 | no | — |
| 631 | C3×D4 | — | 16 | 1 | no | — |
| 632 | #67 | — | 32 | 1 | no | — |
| 633 | C2×Dic3 | — | 32 | 1 | no | — |
| 634 | C4×D3 | — | 16 | 1 | no | — |
| 635 | C4×D3 | — | 32 | 1 | no | — |
| 636 | Dic6 | — | 16 | 1 | no | — |
| 637 | Dic6 | — | 16 | 1 | no | — |
| 638 | Dic6 | — | 32 | 1 | no | — |
| 639 | SL(2,𝔽3) | — | 8 | 1 | no | — |
| 640 | C3×C8 | — | 16 | 1 | no | — |
| 641 | C3⋊C8 | — | 16 | 1 | no | — |
| 642 | C24 | — | 2 | 3 | no | — |
| 643 | C24 | — | 3 | 1 | no | — |
| 644 | C24 | — | 6 | 1 | no | — |
| 645 | C24 | — | 6 | 3 | no | — |
| 646 | #41 | — | 2 | 1 | no | — |
| 647 | #41 | — | 4 | 1 | no | — |
| 648 | #41 | — | 6 | 1 | no | — |
| 649 | #41 | — | 6 | 3 | no | — |
| 650 | #41 | — | 6 | 6 | no | — |
| 651 | #41 | — | 6 | 3 | no | — |
| 652 | #41 | — | 6 | 6 | no | — |
| 653 | #41 | — | 6 | 6 | no | — |
| 654 | #41 | — | 6 | 6 | no | — |
| 655 | #41 | — | 6 | 6 | no | — |
| 656 | #41 | — | 6 | 3 | no | — |
| 657 | #41 | — | 6 | 3 | no | — |
| 658 | #41 | — | 6 | 1 | no | — |
| 659 | #41 | — | 6 | 1 | no | — |
| 660 | #41 | — | 12 | 3 | no | — |
| 661 | #41 | — | 12 | 3 | no | — |
| 662 | #41 | — | 12 | 3 | no | — |
| 663 | #41 | — | 12 | 3 | no | — |
| 664 | #41 | — | 12 | 3 | no | — |
| 665 | #41 | — | 12 | 6 | no | — |
| 666 | #41 | — | 12 | 3 | no | — |
| 667 | #41 | — | 12 | 3 | no | — |
| 668 | #41 | — | 12 | 3 | no | — |
| 669 | #41 | — | 12 | 6 | no | — |
| 670 | #41 | — | 12 | 6 | no | — |
| 671 | #41 | — | 12 | 6 | no | — |
| 672 | #41 | — | 12 | 6 | no | — |
| 673 | #41 | — | 12 | 3 | no | — |
| 674 | #41 | — | 12 | 3 | no | — |
| 675 | #41 | — | 12 | 3 | no | — |
| 676 | #41 | — | 12 | 6 | no | — |
| 677 | #41 | — | 12 | 3 | no | — |
| 678 | #41 | — | 12 | 3 | no | — |
| 679 | #41 | — | 12 | 1 | no | — |
| 680 | #41 | — | 12 | 1 | no | — |
| 681 | #41 | — | 12 | 3 | no | — |
| 682 | #41 | — | 12 | 1 | no | — |
| 683 | #41 | — | 24 | 3 | no | — |
| 684 | #41 | — | 24 | 3 | no | — |
| 685 | C2×Q8 | — | 3 | 3 | no | — |
| 686 | C2×Q8 | — | 3 | 3 | no | — |
| 687 | C2×Q8 | — | 3 | 3 | no | — |
| 688 | C2×Q8 | — | 3 | 3 | no | — |
| 689 | C2×Q8 | — | 3 | 3 | no | — |
| 690 | C2×Q8 | — | 4 | 1 | no | — |
| 691 | C2×Q8 | — | 6 | 3 | no | — |
| 692 | C2×Q8 | — | 6 | 3 | no | — |
| 693 | C2×Q8 | — | 6 | 3 | no | — |
| 694 | C2×Q8 | — | 6 | 3 | no | — |
| 695 | C2×Q8 | — | 6 | 3 | no | — |
| 696 | C2×Q8 | — | 6 | 3 | no | — |
| 697 | C2×Q8 | — | 6 | 3 | no | — |
| 698 | C2×Q8 | — | 6 | 1 | no | — |
| 699 | C2×Q8 | — | 6 | 3 | no | — |
| 700 | C2×Q8 | — | 6 | 1 | no | — |
| 701 | C2×Q8 | — | 12 | 3 | no | — |
| 702 | C2×Q8 | — | 12 | 3 | no | — |
| 703 | C2×Q8 | — | 12 | 3 | no | — |
| 704 | C2×Q8 | — | 12 | 1 | no | — |
| 705 | C2×Q8 | — | 12 | 3 | no | — |
| 706 | C2×Q8 | — | 12 | 6 | no | — |
| 707 | C2×Q8 | — | 12 | 3 | no | — |
| 708 | C2×Q8 | — | 12 | 3 | no | — |
| 709 | C2×Q8 | — | 12 | 1 | no | — |
| 710 | C2×Q8 | — | 24 | 3 | no | — |
| 711 | C2×Q8 | — | 24 | 3 | no | — |
| 712 | C2×D4 | — | 3 | 3 | no | — |
| 713 | C2×D4 | — | 3 | 3 | no | — |
| 714 | C2×D4 | — | 3 | 3 | no | — |
| 715 | C2×D4 | — | 3 | 3 | no | — |
| 716 | C2×D4 | — | 3 | 3 | no | — |
| 717 | C2×D4 | — | 3 | 3 | no | — |
| 718 | C2×D4 | — | 3 | 3 | no | — |
| 719 | C2×D4 | — | 6 | 3 | no | — |
| 720 | C2×D4 | — | 6 | 3 | no | — |
| 721 | C2×D4 | — | 6 | 3 | no | — |
| 722 | C2×D4 | — | 6 | 3 | no | — |
| 723 | C2×D4 | — | 6 | 3 | no | — |
| 724 | C2×D4 | — | 6 | 1 | no | — |
| 725 | C2×D4 | — | 6 | 3 | no | — |
| 726 | C2×D4 | — | 6 | 3 | no | — |
| 727 | C2×D4 | — | 6 | 3 | no | — |
| 728 | C2×D4 | — | 6 | 3 | no | — |
| 729 | C2×D4 | — | 6 | 3 | no | — |
| 730 | C2×D4 | — | 6 | 3 | no | — |
| 731 | C2×D4 | — | 6 | 3 | no | — |
| 732 | C2×D4 | — | 6 | 3 | no | — |
| 733 | C2×D4 | — | 12 | 3 | no | — |
| 734 | C2×D4 | — | 12 | 6 | no | — |
| 735 | C2×D4 | — | 12 | 6 | no | — |
| 736 | C2×D4 | — | 12 | 6 | no | — |
| 737 | C2×D4 | — | 12 | 6 | no | — |
| 738 | C2×D4 | — | 12 | 3 | no | — |
| 739 | C2×D4 | — | 12 | 6 | no | — |
| 740 | C2×D4 | — | 12 | 3 | no | — |
| 741 | C2×D4 | — | 12 | 3 | no | — |
| 742 | C2×D4 | — | 12 | 1 | no | — |
| 743 | C2×D4 | — | 12 | 3 | no | — |
| 744 | C2×D4 | — | 12 | 3 | no | — |
| 745 | C2×D4 | — | 12 | 3 | no | — |
| 746 | C2×D4 | — | 12 | 3 | no | — |
| 747 | C2×D4 | — | 12 | 3 | no | — |
| 748 | C2×D4 | — | 12 | 3 | no | — |
| 749 | C22×C4 | — | 2 | 3 | no | — |
| 750 | C22×C4 | — | 3 | 1 | no | — |
| 751 | C22×C4 | — | 3 | 3 | no | — |
| 752 | C22×C4 | — | 3 | 1 | no | — |
| 753 | C22×C4 | — | 6 | 3 | no | — |
| 754 | C22×C4 | — | 6 | 3 | no | — |
| 755 | C22×C4 | — | 6 | 3 | no | — |
| 756 | C22×C4 | — | 6 | 3 | no | — |
| 757 | C22×C4 | — | 6 | 3 | no | — |
| 758 | C22×C4 | — | 6 | 3 | no | — |
| 759 | C22×C4 | — | 6 | 3 | no | — |
| 760 | C22×C4 | — | 6 | 3 | no | — |
| 761 | C22×C4 | — | 6 | 1 | no | — |
| 762 | C22×C4 | — | 6 | 3 | no | — |
| 763 | C22×C4 | — | 6 | 1 | no | — |
| 764 | C22×C4 | — | 6 | 1 | no | — |
| 765 | C22×C4 | — | 12 | 3 | no | — |
| 766 | C22×C4 | — | 12 | 3 | no | — |
| 767 | C22×C4 | — | 12 | 3 | no | — |
| 768 | C22×C4 | — | 12 | 3 | no | — |
| 769 | C22×C4 | — | 12 | 3 | no | — |
| 770 | C22×C4 | — | 12 | 3 | no | — |
| 771 | C22×C4 | — | 12 | 3 | no | — |
| 772 | C22×C4 | — | 12 | 3 | no | — |
| 773 | C22×C4 | C22×S4 | 1 | 3 | yes | — |
| 774 | Q16 | — | 6 | 6 | no | — |
| 775 | Q16 | — | 6 | 3 | no | — |
| 776 | Q16 | — | 6 | 1 | no | — |
| 777 | Q16 | — | 12 | 3 | no | — |
| 778 | Q16 | — | 12 | 3 | no | — |
| 779 | Q16 | — | 12 | 1 | no | — |
| 780 | Q16 | — | 12 | 1 | no | — |
| 781 | Q16 | — | 24 | 3 | no | — |
| 782 | Q16 | — | 24 | 3 | no | — |
| 783 | SD16 | — | 3 | 6 | no | — |
| 784 | SD16 | — | 3 | 3 | no | — |
| 785 | SD16 | — | 3 | 3 | no | — |
| 786 | SD16 | — | 3 | 3 | no | — |
| 787 | SD16 | — | 6 | 3 | no | — |
| 788 | SD16 | — | 6 | 3 | no | — |
| 789 | SD16 | — | 6 | 6 | no | — |
| 790 | SD16 | — | 6 | 2 | no | — |
| 791 | SD16 | — | 6 | 1 | no | — |
| 792 | SD16 | — | 12 | 3 | no | — |
| 793 | SD16 | — | 12 | 1 | no | — |
| 794 | SD16 | — | 24 | 3 | no | — |
| 795 | SD16 | — | 24 | 3 | no | — |
| 796 | SD16 | #1020 | 1 | 1 | yes | characteristic |
| 797 | D8 | — | 6 | 6 | no | — |
| 798 | D8 | — | 6 | 3 | no | — |
| 799 | D8 | — | 6 | 1 | no | — |
| 800 | M16 | — | 6 | 3 | no | — |
| 801 | M16 | — | 6 | 6 | no | — |
| 802 | M16 | — | 6 | 1 | no | — |
| 803 | M16 | — | 6 | 6 | no | — |
| 804 | M16 | — | 12 | 3 | no | — |
| 805 | M16 | — | 12 | 1 | no | — |
| 806 | C2×C8 | — | 3 | 3 | no | — |
| 807 | C2×C8 | — | 3 | 3 | no | — |
| 808 | C2×C8 | — | 3 | 3 | no | — |
| 809 | C2×C8 | — | 3 | 3 | no | — |
| 810 | C2×C8 | — | 6 | 3 | no | — |
| 811 | C2×C8 | — | 6 | 1 | no | — |
| 812 | C2×C8 | — | 6 | 3 | no | — |
| 813 | C2×C8 | — | 6 | 3 | no | — |
| 814 | C4⋊C4 | — | 6 | 3 | no | — |
| 815 | C4⋊C4 | — | 6 | 3 | no | — |
| 816 | C4⋊C4 | — | 6 | 3 | no | — |
| 817 | C4⋊C4 | — | 6 | 3 | no | — |
| 818 | C4⋊C4 | — | 6 | 3 | no | — |
| 819 | C4⋊C4 | — | 12 | 3 | no | — |
| 820 | C4⋊C4 | — | 12 | 3 | no | — |
| 821 | C4⋊C4 | — | 12 | 3 | no | — |
| 822 | C4⋊C4 | — | 12 | 3 | no | — |
| 823 | C4⋊C4 | — | 12 | 3 | no | — |
| 824 | C4⋊C4 | — | 12 | 3 | no | — |
| 825 | C4⋊C4 | — | 12 | 3 | no | — |
| 826 | C4⋊C4 | — | 12 | 3 | no | — |
| 827 | C4⋊C4 | — | 12 | 3 | no | — |
| 828 | C4⋊C4 | — | 12 | 3 | no | — |
| 829 | C4⋊C4 | — | 12 | 3 | no | — |
| 830 | C4⋊C4 | — | 12 | 3 | no | — |
| 831 | C22⋊C4 | — | 3 | 3 | no | — |
| 832 | C22⋊C4 | — | 3 | 3 | no | — |
| 833 | C22⋊C4 | — | 6 | 3 | no | — |
| 834 | C22⋊C4 | — | 6 | 3 | no | — |
| 835 | C22⋊C4 | — | 6 | 3 | no | — |
| 836 | C22⋊C4 | — | 6 | 3 | no | — |
| 837 | C22⋊C4 | — | 6 | 3 | no | — |
| 838 | C22⋊C4 | — | 6 | 3 | no | — |
| 839 | C22⋊C4 | — | 12 | 3 | no | — |
| 840 | C22⋊C4 | — | 12 | 3 | no | — |
| 841 | C22⋊C4 | — | 12 | 3 | no | — |
| 842 | C22⋊C4 | — | 12 | 3 | no | — |
| 843 | C22⋊C4 | — | 12 | 3 | no | — |
| 844 | C22⋊C4 | — | 12 | 3 | no | — |
| 845 | C22⋊C4 | — | 12 | 3 | no | — |
| 846 | C22⋊C4 | — | 12 | 3 | no | — |
| 847 | C22⋊C4 | — | 12 | 3 | no | — |
| 848 | C22⋊C4 | — | 12 | 3 | no | — |
| 849 | C22⋊C4 | — | 12 | 3 | no | — |
| 850 | C22⋊C4 | — | 12 | 3 | no | — |
| 851 | C22⋊C4 | — | 12 | 3 | no | — |
| 852 | C22⋊C4 | — | 12 | 3 | no | — |
| 853 | C42 | — | 6 | 3 | no | — |
| 854 | C42 | — | 6 | 3 | no | — |
| 855 | C42 | — | 6 | 3 | no | — |
| 856 | C42 | — | 12 | 3 | no | — |
| 857 | C42 | — | 12 | 3 | no | — |
| 858 | C22×C3 | — | 32 | 1 | no | — |
| 859 | C2×D3 | — | 16 | 1 | no | — |
| 860 | A4 | — | 4 | 3 | no | — |
| 861 | C3×C4 | — | 16 | 1 | no | — |
| 862 | C3×C4 | — | 32 | 1 | no | — |
| 863 | Dic3 | — | 16 | 1 | no | — |
| 864 | Dic3 | — | 32 | 1 | no | — |
| 865 | Dic3 | — | 32 | 1 | no | — |
| 866 | C23 | — | 3 | 1 | no | — |
| 867 | C23 | — | 3 | 3 | no | — |
| 868 | C23 | — | 6 | 3 | no | — |
| 869 | C23 | — | 6 | 3 | no | — |
| 870 | C23 | — | 6 | 3 | no | — |
| 871 | C23 | — | 6 | 3 | no | — |
| 872 | C23 | — | 6 | 3 | no | — |
| 873 | C23 | — | 12 | 3 | no | — |
| 874 | C23 | — | 12 | 1 | no | — |
| 875 | C23 | — | 16 | 3 | no | — |
| 876 | C23 | — | 24 | 1 | no | — |
| 877 | C23 | — | 48 | 1 | no | — |
| 878 | C23 | — | 48 | 3 | no | — |
| 879 | C23 | D4×S4 | 1 | 3 | yes | — |
| 880 | Q8 | — | 2 | 1 | no | — |
| 881 | Q8 | — | 3 | 3 | no | — |
| 882 | Q8 | — | 6 | 3 | no | — |
| 883 | Q8 | — | 6 | 3 | no | — |
| 884 | Q8 | — | 6 | 3 | no | — |
| 885 | Q8 | — | 6 | 3 | no | — |
| 886 | Q8 | — | 6 | 3 | no | — |
| 887 | Q8 | — | 6 | 1 | no | — |
| 888 | Q8 | — | 12 | 3 | no | — |
| 889 | Q8 | — | 12 | 3 | no | — |
| 890 | Q8 | — | 12 | 3 | no | — |
| 891 | Q8 | — | 12 | 1 | no | — |
| 892 | Q8 | — | 12 | 1 | no | — |
| 893 | Q8 | — | 12 | 1 | no | — |
| 894 | Q8 | — | 24 | 1 | no | — |
| 895 | Q8 | — | 24 | 3 | no | — |
| 896 | Q8 | C2×#1020 | 1 | 1 | yes | characteristic |
| 897 | D4 | — | 3 | 3 | no | — |
| 898 | D4 | — | 6 | 3 | no | — |
| 899 | D4 | — | 6 | 6 | no | — |
| 900 | D4 | — | 6 | 3 | no | — |
| 901 | D4 | — | 6 | 3 | no | — |
| 902 | D4 | — | 6 | 3 | no | — |
| 903 | D4 | — | 6 | 3 | no | — |
| 904 | D4 | — | 6 | 1 | no | — |
| 905 | D4 | — | 6 | 1 | no | — |
| 906 | D4 | — | 12 | 1 | no | — |
| 907 | D4 | — | 12 | 6 | no | — |
| 908 | D4 | — | 12 | 3 | no | — |
| 909 | D4 | — | 12 | 3 | no | — |
| 910 | D4 | — | 12 | 1 | no | — |
| 911 | D4 | — | 12 | 1 | no | — |
| 912 | D4 | — | 12 | 6 | no | — |
| 913 | D4 | — | 12 | 3 | no | — |
| 914 | D4 | — | 24 | 3 | no | — |
| 915 | D4 | — | 24 | 3 | no | — |
| 916 | D4 | — | 24 | 1 | no | — |
| 917 | D4 | — | 24 | 3 | no | — |
| 918 | D4 | — | 24 | 6 | no | — |
| 919 | D4 | — | 48 | 3 | no | — |
| 920 | D4 | C2×#1020 | 1 | 1 | yes | characteristic |
| 921 | C2×C4 | — | 3 | 3 | no | — |
| 922 | C2×C4 | — | 3 | 3 | no | — |
| 923 | C2×C4 | — | 3 | 3 | no | — |
| 924 | C2×C4 | — | 3 | 3 | no | — |
| 925 | C2×C4 | — | 6 | 3 | no | — |
| 926 | C2×C4 | — | 6 | 3 | no | — |
| 927 | C2×C4 | — | 6 | 3 | no | — |
| 928 | C2×C4 | — | 6 | 1 | no | — |
| 929 | C2×C4 | — | 6 | 3 | no | — |
| 930 | C2×C4 | — | 6 | 3 | no | — |
| 931 | C2×C4 | — | 6 | 3 | no | — |
| 932 | C2×C4 | — | 6 | 3 | no | — |
| 933 | C2×C4 | — | 6 | 3 | no | — |
| 934 | C2×C4 | — | 12 | 1 | no | — |
| 935 | C2×C4 | — | 12 | 6 | no | — |
| 936 | C2×C4 | — | 12 | 6 | no | — |
| 937 | C2×C4 | — | 12 | 3 | no | — |
| 938 | C2×C4 | — | 12 | 3 | no | — |
| 939 | C2×C4 | — | 12 | 3 | no | — |
| 940 | C2×C4 | — | 12 | 1 | no | — |
| 941 | C2×C4 | — | 12 | 3 | no | — |
| 942 | C2×C4 | — | 12 | 1 | no | — |
| 943 | C2×C4 | — | 12 | 1 | no | — |
| 944 | C2×C4 | — | 12 | 3 | no | — |
| 945 | C2×C4 | — | 12 | 3 | no | — |
| 946 | C2×C4 | — | 12 | 3 | no | — |
| 947 | C2×C4 | — | 12 | 3 | no | — |
| 948 | C2×C4 | — | 24 | 1 | no | — |
| 949 | C2×C4 | — | 24 | 3 | no | — |
| 950 | C2×C4 | — | 24 | 1 | no | — |
| 951 | C2×C4 | — | 24 | 3 | no | — |
| 952 | C2×C4 | — | 48 | 3 | no | — |
| 953 | C2×C4 | — | 48 | 3 | no | — |
| 954 | C8 | — | 3 | 3 | no | — |
| 955 | C8 | — | 6 | 1 | no | — |
| 956 | C8 | — | 12 | 3 | no | — |
| 957 | C8 | — | 12 | 1 | no | — |
| 958 | C8 | C2×#1020 | 1 | 1 | yes | characteristic |
| 959 | C2×C3 | — | 16 | 1 | no | — |
| 960 | C2×C3 | — | 64 | 1 | no | — |
| 961 | D3 | — | 32 | 1 | no | — |
| 962 | C22 | — | 2 | 1 | no | — |
| 963 | C22 | — | 3 | 3 | no | — |
| 964 | C22 | — | 4 | 3 | no | — |
| 965 | C22 | — | 6 | 1 | no | — |
| 966 | C22 | — | 6 | 3 | no | — |
| 967 | C22 | — | 12 | 1 | no | — |
| 968 | C22 | — | 12 | 3 | no | — |
| 969 | C22 | — | 12 | 3 | no | — |
| 970 | C22 | — | 12 | 3 | no | — |
| 971 | C22 | — | 12 | 1 | no | — |
| 972 | C22 | — | 12 | 1 | no | — |
| 973 | C22 | — | 24 | 3 | no | — |
| 974 | C22 | — | 24 | 3 | no | — |
| 975 | C22 | — | 24 | 3 | no | — |
| 976 | C22 | — | 24 | 3 | no | — |
| 977 | C22 | — | 48 | 3 | no | — |
| 978 | C22 | — | 48 | 1 | no | — |
| 979 | C4 | — | 2 | 1 | no | — |
| 980 | C4 | — | 3 | 3 | no | — |
| 981 | C4 | — | 6 | 1 | no | — |
| 982 | C4 | — | 6 | 3 | no | — |
| 983 | C4 | — | 12 | 3 | no | — |
| 984 | C4 | — | 12 | 3 | no | — |
| 985 | C4 | — | 12 | 1 | no | — |
| 986 | C4 | — | 12 | 1 | no | — |
| 987 | C4 | — | 24 | 3 | no | — |
| 988 | C4 | — | 24 | 3 | no | — |
| 989 | C4 | — | 24 | 1 | no | — |
| 990 | C4 | — | 24 | 1 | no | — |
| 991 | C4 | C22×#1020 | 1 | 1 | yes | characteristic |
| 992 | C3 | — | 16 | 1 | no | Sylow |
| 993 | C2 | — | 4 | 1 | no | — |
| 994 | C2 | — | 6 | 3 | no | — |
| 995 | C2 | — | 12 | 1 | no | — |
| 996 | C2 | — | 12 | 3 | no | — |
| 997 | C2 | — | 24 | 1 | no | — |
| 998 | C2 | — | 24 | 1 | no | — |
| 999 | C2 | D4×#1020 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | D4×#1020 |
| commutator, cosocle | #5950 | C23 |
| Frattini | C4 | C22×#1020 |
| Fitting | #63092 | D3 |
| hypercenter | SD16 | #1020 |
| hypocenter | #997 | C2×D4 |
| LCS | G ▷ #5950 ▷ #997 | |
| UCS | C1 ◁ C2 ◁ C4 ◁ SD16 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11715841 | C2 | semidirect |
| 2. #11715840 | C2 | semidirect |
| 3. #11715737 | C2 | semidirect |
| 4. #11715715 | C2 | semidirect |
| 5. #11715713 | C2 | semidirect |
| 6. #11715688 | C2 | semidirect |
| 7. #11710899 | C2 | semidirect |
| 21. #63092 | D3 | semidirect |
| 197. C22×SD16 | S4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11715841 | 2 |
| #11715840 | 2 |
| #11715737 | 2 |
| #11715715 | 2 |
| #11715713 | 2 |
| #11715688 | 2 |
| #11710899 | 2 |
| #6573737 | 3 |
| #85461 | 4 |