Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
1924 conjugacy classes of subgroups.
The subgroup lattice has 760 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#3417 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×#510 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #61054 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #61053 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #33844 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #33843 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #33837 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #33836 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #33722 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #33609 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #33604 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #33588 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #33587 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #33525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #33524 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #33519 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #33518 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #33458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #33433 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | C2×#578 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#578 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×#135 | C22 | 1 | 1 | yes | characteristic |
| 23 | C23×Q16 | C22 | 1 | 1 | yes | characteristic |
| 24 | #3487 | — | 2 | 1 | no | — |
| 25 | #3486 | — | 2 | 1 | no | — |
| 26 | #3417 | — | 2 | 8 | no | — |
| 27 | C2×#510 | — | 2 | 8 | no | — |
| 28 | C2×#510 | C22 | 1 | 4 | yes | — |
| 29 | C2×#510 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#510 | C22 | 1 | 4 | yes | — |
| 31 | C2×#510 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#510 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#510 | C22 | 1 | 2 | yes | complemented |
| 34 | C2×#510 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#509 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#508 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#508 | C22 | 1 | 2 | yes | complemented |
| 38 | C22×Q32 | C22 | 1 | 1 | yes | characteristic |
| 39 | C22×Q32 | C22 | 1 | 1 | yes | characteristic |
| 40 | C22×Q32 | C22 | 1 | 2 | yes | complemented |
| 41 | C22×SD32 | C22 | 1 | 1 | yes | characteristic |
| 42 | C22×SD32 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#504 | C22 | 1 | 1 | yes | characteristic |
| 44 | C22×M32 | C22 | 1 | 1 | yes | characteristic |
| 45 | #3287 | C22 | 1 | 4 | yes | — |
| 46 | D4×Q16 | C22 | 1 | 4 | yes | complemented |
| 47 | #3285 | C22 | 1 | 4 | yes | — |
| 48 | #3285 | C22 | 1 | 4 | yes | complemented |
| 49 | #3271 | — | 2 | 4 | no | — |
| 50 | #3270 | — | 2 | 4 | no | — |
| 51 | #3156 | C22 | 1 | 1 | yes | characteristic |
| 52 | #3155 | C22 | 1 | 1 | yes | characteristic |
| 53 | #3059 | C22 | 1 | 1 | yes | characteristic |
| 54 | #3058 | C22 | 1 | 1 | yes | characteristic |
| 55 | #3050 | C22 | 1 | 1 | yes | characteristic |
| 56 | #3050 | C22 | 1 | 1 | yes | characteristic |
| 57 | #3044 | — | 2 | 1 | no | — |
| 58 | #3043 | — | 2 | 1 | no | — |
| 59 | #3011 | — | 2 | 1 | no | — |
| 60 | #3010 | — | 2 | 1 | no | — |
| 61 | #3005 | — | 2 | 1 | no | — |
| 62 | #3004 | — | 2 | 1 | no | — |
| 63 | #2950 | C22 | 1 | 1 | yes | characteristic |
| 64 | #2950 | C22 | 1 | 1 | yes | characteristic |
| 65 | #2929 | C22 | 1 | 1 | yes | characteristic |
| 66 | #2251 | C22 | 1 | 2 | yes | complemented |
| 67 | #2250 | C22 | 1 | 2 | yes | complemented |
| 68 | #2249 | C22 | 1 | 2 | yes | complemented |
| 69 | #2248 | C22 | 1 | 2 | yes | complemented |
| 70 | #2220 | C22 | 1 | 2 | yes | complemented |
| 71 | #2220 | C22 | 1 | 4 | yes | complemented |
| 72 | #2220 | C22 | 1 | 2 | yes | complemented |
| 73 | #2219 | C22 | 1 | 2 | yes | complemented |
| 74 | #2218 | C22 | 1 | 2 | yes | complemented |
| 75 | #2217 | C22 | 1 | 4 | yes | complemented |
| 76 | #2211 | C22 | 1 | 4 | yes | complemented |
| 77 | #2211 | C22 | 1 | 4 | yes | complemented |
| 78 | #2209 | C22 | 1 | 4 | yes | complemented |
| 79 | #2207 | C22 | 1 | 4 | yes | complemented |
| 80 | #2189 | C22 | 1 | 4 | yes | — |
| 81 | #2189 | C22 | 1 | 4 | yes | complemented |
| 82 | #2188 | C22 | 1 | 4 | yes | complemented |
| 83 | #2188 | C22 | 1 | 4 | yes | complemented |
| 84 | #2186 | C22 | 1 | 4 | yes | — |
| 85 | #2186 | C22 | 1 | 4 | yes | complemented |
| 86 | #2185 | C22 | 1 | 4 | yes | complemented |
| 87 | #2185 | C22 | 1 | 4 | yes | complemented |
| 88 | #2176 | C22 | 1 | 4 | yes | complemented |
| 89 | C4×Q32 | C22 | 1 | 4 | yes | complemented |
| 90 | #2169 | C22 | 1 | 4 | yes | complemented |
| 91 | #2168 | C22 | 1 | 4 | yes | complemented |
| 92 | #2158 | C22 | 1 | 1 | yes | characteristic |
| 93 | #2151 | C22 | 1 | 1 | yes | characteristic |
| 94 | #2141 | C22 | 1 | 1 | yes | characteristic |
| 95 | #2141 | C22 | 1 | 1 | yes | characteristic |
| 96 | #2141 | C22 | 1 | 1 | yes | characteristic |
| 97 | #2140 | C22 | 1 | 1 | yes | characteristic |
| 98 | #2138 | C22 | 1 | 1 | yes | characteristic |
| 99 | #2138 | C22 | 1 | 1 | yes | characteristic |
| 100 | #2113 | C22 | 1 | 1 | yes | characteristic |
| 101 | #2112 | C22 | 1 | 1 | yes | characteristic |
| 102 | #2108 | C22 | 1 | 1 | yes | characteristic |
| 103 | C2×2−1+4 | — | 2 | 1 | no | — |
| 104 | C2×2−1+4 | — | 2 | 1 | no | — |
| 105 | C22×#41 | — | 2 | 1 | no | — |
| 106 | C23×Q8 | — | 2 | 1 | no | — |
| 107 | #578 | — | 2 | 4 | no | — |
| 108 | #578 | — | 2 | 4 | no | — |
| 109 | #578 | — | 4 | 2 | no | — |
| 110 | #578 | — | 4 | 2 | no | — |
| 111 | C2×#137 | — | 2 | 1 | no | — |
| 112 | C2×#137 | — | 2 | 1 | no | — |
| 113 | C2×#137 | — | 2 | 2 | no | — |
| 114 | C2×#137 | — | 2 | 2 | no | — |
| 115 | C2×#137 | — | 2 | 1 | no | — |
| 116 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 117 | C2×#135 | — | 2 | 4 | no | — |
| 118 | C2×#135 | — | 2 | 2 | no | — |
| 119 | C2×#135 | — | 4 | 2 | no | — |
| 120 | C2×#135 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#135 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×#135 | C23 | 1 | 2 | yes | — |
| 123 | C2×#135 | C23 | 1 | 2 | yes | — |
| 124 | C2×#135 | C23 | 1 | 4 | yes | — |
| 125 | C22×Q16 | — | 2 | 4 | no | — |
| 126 | C22×Q16 | — | 2 | 1 | no | — |
| 127 | C22×Q16 | — | 2 | 2 | no | — |
| 128 | C22×Q16 | — | 4 | 2 | no | — |
| 129 | C22×Q16 | C23 | 1 | 1 | yes | characteristic |
| 130 | C22×Q16 | C23 | 1 | 2 | yes | — |
| 131 | C22×Q16 | C23 | 1 | 2 | yes | — |
| 132 | C22×Q16 | C23 | 1 | 4 | yes | — |
| 133 | C22×Q16 | C23 | 1 | 1 | yes | characteristic |
| 134 | C22×Q16 | C23 | 1 | 1 | yes | characteristic |
| 135 | C22×SD16 | — | 2 | 1 | no | — |
| 136 | C22×D8 | C23 | 1 | 1 | yes | characteristic |
| 137 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 138 | C23×C8 | C23 | 1 | 1 | yes | characteristic |
| 139 | #550 | — | 2 | 4 | no | — |
| 140 | #550 | — | 4 | 2 | no | — |
| 141 | D4×Q8 | — | 2 | 4 | no | — |
| 142 | D4×Q8 | — | 4 | 2 | no | — |
| 143 | #548 | — | 2 | 4 | no | — |
| 144 | #548 | — | 2 | 4 | no | — |
| 145 | #548 | — | 4 | 2 | no | — |
| 146 | #548 | — | 4 | 2 | no | — |
| 147 | #536 | — | 2 | 1 | no | — |
| 148 | #536 | — | 2 | 1 | no | — |
| 149 | #536 | — | 4 | 2 | no | — |
| 150 | #535 | — | 2 | 1 | no | — |
| 151 | #535 | — | 2 | 1 | no | — |
| 152 | #535 | — | 4 | 2 | no | — |
| 153 | #525 | — | 2 | 1 | no | — |
| 154 | #525 | — | 2 | 1 | no | — |
| 155 | #525 | — | 4 | 2 | no | — |
| 156 | #525 | — | 4 | 2 | no | — |
| 157 | #525 | D4 | 1 | 1 | yes | characteristic |
| 158 | #519 | — | 2 | 1 | no | — |
| 159 | #519 | — | 2 | 1 | no | — |
| 160 | #510 | — | 2 | 4 | no | — |
| 161 | #510 | — | 2 | 4 | no | — |
| 162 | #510 | — | 2 | 16 | no | — |
| 163 | #510 | — | 2 | 16 | no | — |
| 164 | #510 | — | 2 | 8 | no | — |
| 165 | #510 | — | 2 | 8 | no | — |
| 166 | #510 | — | 4 | 2 | no | — |
| 167 | #509 | — | 4 | 2 | no | — |
| 168 | #508 | — | 2 | 8 | no | — |
| 169 | #508 | — | 2 | 4 | no | — |
| 170 | C2×Q32 | — | 2 | 4 | no | — |
| 171 | C2×Q32 | — | 2 | 8 | no | — |
| 172 | C2×Q32 | D4 | 1 | 8 | yes | complemented |
| 173 | C2×Q32 | C23 | 1 | 4 | yes | — |
| 174 | C2×Q32 | C23 | 1 | 1 | yes | characteristic |
| 175 | C2×Q32 | C23 | 1 | 2 | yes | — |
| 176 | C2×Q32 | C23 | 1 | 2 | yes | — |
| 177 | C2×Q32 | C23 | 1 | 2 | yes | — |
| 178 | C2×Q32 | C23 | 1 | 2 | yes | — |
| 179 | C2×Q32 | C23 | 1 | 2 | yes | — |
| 180 | C2×SD32 | — | 2 | 4 | no | — |
| 181 | C2×SD32 | — | 2 | 4 | no | — |
| 182 | C2×SD32 | C23 | 1 | 4 | yes | — |
| 183 | C2×SD32 | C23 | 1 | 2 | yes | — |
| 184 | C2×SD32 | C23 | 1 | 2 | yes | — |
| 185 | C2×SD32 | C23 | 1 | 1 | yes | characteristic |
| 186 | C2×SD32 | C23 | 1 | 1 | yes | characteristic |
| 187 | C2×SD32 | C23 | 1 | 2 | yes | — |
| 188 | C2×SD32 | C23 | 1 | 2 | yes | — |
| 189 | C2×SD32 | C23 | 1 | 2 | yes | — |
| 190 | C2×SD32 | C23 | 1 | 2 | yes | — |
| 191 | C2×D16 | C23 | 1 | 1 | yes | characteristic |
| 192 | C2×D16 | C23 | 1 | 2 | yes | — |
| 193 | #504 | — | 2 | 4 | no | — |
| 194 | C2×M32 | — | 2 | 4 | no | — |
| 195 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 196 | C2×M32 | C23 | 1 | 1 | yes | characteristic |
| 197 | C2×M32 | C23 | 1 | 2 | yes | — |
| 198 | C2×M32 | C23 | 1 | 2 | yes | — |
| 199 | C2×M32 | C23 | 1 | 2 | yes | — |
| 200 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 201 | C22×C16 | C23 | 1 | 2 | yes | — |
| 202 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 203 | #497 | — | 2 | 2 | no | — |
| 204 | #496 | — | 2 | 2 | no | — |
| 205 | #495 | C23 | 1 | 2 | yes | — |
| 206 | #495 | C23 | 1 | 2 | yes | — |
| 207 | #494 | C23 | 1 | 2 | yes | — |
| 208 | #493 | C23 | 1 | 2 | yes | — |
| 209 | #470 | — | 2 | 2 | no | — |
| 210 | #469 | — | 2 | 2 | no | — |
| 211 | #467 | C23 | 1 | 2 | yes | — |
| 212 | #467 | C23 | 1 | 4 | yes | — |
| 213 | #467 | C23 | 1 | 2 | yes | — |
| 214 | #466 | C23 | 1 | 2 | yes | — |
| 215 | #466 | C23 | 1 | 4 | yes | — |
| 216 | #466 | C23 | 1 | 2 | yes | — |
| 217 | #465 | — | 2 | 2 | no | — |
| 218 | #465 | — | 2 | 2 | no | — |
| 219 | #464 | — | 2 | 4 | no | — |
| 220 | #464 | — | 2 | 4 | no | — |
| 221 | #462 | — | 2 | 4 | no | — |
| 222 | #460 | — | 2 | 4 | no | — |
| 223 | #452 | — | 2 | 4 | no | — |
| 224 | #452 | — | 2 | 4 | no | — |
| 225 | #451 | — | 2 | 4 | no | — |
| 226 | #451 | — | 2 | 4 | no | — |
| 227 | #449 | — | 2 | 4 | no | — |
| 228 | #449 | — | 2 | 4 | no | — |
| 229 | #448 | — | 2 | 4 | no | — |
| 230 | #448 | — | 2 | 4 | no | — |
| 231 | #441 | — | 2 | 2 | no | — |
| 232 | #441 | — | 2 | 2 | no | — |
| 233 | C4×Q16 | C23 | 1 | 4 | yes | — |
| 234 | C4×Q16 | C23 | 1 | 4 | yes | — |
| 235 | #435 | D4 | 1 | 4 | yes | — |
| 236 | C8×D4 | C23 | 1 | 4 | yes | — |
| 237 | #427 | C23 | 1 | 1 | yes | characteristic |
| 238 | #427 | C23 | 1 | 1 | yes | characteristic |
| 239 | #424 | D4 | 1 | 1 | yes | characteristic |
| 240 | #419 | — | 2 | 1 | no | — |
| 241 | #419 | — | 2 | 1 | no | — |
| 242 | #419 | — | 2 | 1 | no | — |
| 243 | #418 | — | 2 | 1 | no | — |
| 244 | #416 | — | 2 | 1 | no | — |
| 245 | #416 | — | 2 | 1 | no | — |
| 246 | #408 | D4 | 1 | 1 | yes | characteristic |
| 247 | #407 | D4 | 1 | 1 | yes | characteristic |
| 248 | #405 | C23 | 1 | 1 | yes | characteristic |
| 249 | #367 | C23 | 1 | 2 | yes | — |
| 250 | #366 | C23 | 1 | 2 | yes | — |
| 251 | C4⋊C16 | C23 | 1 | 4 | yes | — |
| 252 | #358 | C23 | 1 | 2 | yes | — |
| 253 | #358 | C23 | 1 | 2 | yes | — |
| 254 | #358 | C23 | 1 | 4 | yes | — |
| 255 | #358 | C23 | 1 | 4 | yes | — |
| 256 | #358 | C23 | 1 | 4 | yes | — |
| 257 | #357 | C23 | 1 | 2 | yes | — |
| 258 | #357 | C23 | 1 | 2 | yes | — |
| 259 | #357 | C23 | 1 | 4 | yes | — |
| 260 | C22⋊C16 | C23 | 1 | 4 | yes | — |
| 261 | C22⋊C16 | C23 | 1 | 4 | yes | — |
| 262 | #346 | C23 | 1 | 2 | yes | — |
| 263 | C4×C16 | C23 | 1 | 2 | yes | — |
| 264 | 2−1+4 | — | 4 | 4 | no | — |
| 265 | 2−1+4 | — | 4 | 4 | no | — |
| 266 | 2−1+4 | — | 8 | 2 | no | — |
| 267 | 2−1+4 | — | 8 | 2 | no | — |
| 268 | C2×#41 | — | 2 | 1 | no | — |
| 269 | C2×#41 | — | 2 | 1 | no | — |
| 270 | C2×#41 | — | 2 | 2 | no | — |
| 271 | C2×#41 | — | 2 | 4 | no | — |
| 272 | C2×#41 | — | 2 | 2 | no | — |
| 273 | C2×#41 | — | 4 | 4 | no | — |
| 274 | C2×#41 | — | 4 | 2 | no | — |
| 275 | C2×#41 | — | 4 | 2 | no | — |
| 276 | C2×#41 | — | 4 | 1 | no | — |
| 277 | C2×#41 | — | 4 | 1 | no | — |
| 278 | C2×#41 | — | 4 | 2 | no | — |
| 279 | C2×#41 | — | 8 | 2 | no | — |
| 280 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C22×Q8 | — | 2 | 1 | no | — |
| 282 | C22×Q8 | — | 2 | 1 | no | — |
| 283 | C22×Q8 | — | 2 | 1 | no | — |
| 284 | C22×Q8 | — | 2 | 2 | no | — |
| 285 | C22×Q8 | — | 2 | 4 | no | — |
| 286 | C22×Q8 | — | 2 | 2 | no | — |
| 287 | C22×Q8 | — | 4 | 4 | no | — |
| 288 | C22×Q8 | — | 4 | 1 | no | — |
| 289 | C22×Q8 | — | 4 | 1 | no | — |
| 290 | C22×Q8 | — | 4 | 1 | no | — |
| 291 | C22×Q8 | — | 4 | 2 | no | — |
| 292 | C22×Q8 | — | 8 | 2 | no | — |
| 293 | C22×D4 | — | 2 | 1 | no | — |
| 294 | C22×D4 | — | 4 | 1 | no | — |
| 295 | C23×C4 | — | 4 | 1 | no | — |
| 296 | C23×C4 | — | 4 | 1 | no | — |
| 297 | C23×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | #137 | — | 4 | 8 | no | — |
| 299 | #137 | — | 4 | 8 | no | — |
| 300 | #137 | — | 4 | 4 | no | — |
| 301 | #137 | — | 4 | 4 | no | — |
| 302 | #137 | — | 8 | 2 | no | — |
| 303 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 304 | #135 | — | 2 | 8 | no | — |
| 305 | #135 | — | 2 | 4 | no | — |
| 306 | #135 | — | 2 | 4 | no | — |
| 307 | #135 | — | 2 | 2 | no | — |
| 308 | #135 | — | 2 | 2 | no | — |
| 309 | #135 | — | 2 | 2 | no | — |
| 310 | #135 | — | 2 | 2 | no | — |
| 311 | #135 | — | 4 | 4 | no | — |
| 312 | #135 | — | 4 | 2 | no | — |
| 313 | #135 | — | 4 | 2 | no | — |
| 314 | #135 | — | 4 | 8 | no | — |
| 315 | C2×Q16 | — | 2 | 8 | no | — |
| 316 | C2×Q16 | — | 2 | 4 | no | — |
| 317 | C2×Q16 | — | 2 | 4 | no | — |
| 318 | C2×Q16 | — | 2 | 1 | no | — |
| 319 | C2×Q16 | — | 2 | 1 | no | — |
| 320 | C2×Q16 | — | 2 | 2 | no | — |
| 321 | C2×Q16 | — | 2 | 4 | no | — |
| 322 | C2×Q16 | — | 2 | 1 | no | — |
| 323 | C2×Q16 | — | 2 | 2 | no | — |
| 324 | C2×Q16 | — | 2 | 2 | no | — |
| 325 | C2×Q16 | — | 2 | 2 | no | — |
| 326 | C2×Q16 | — | 2 | 2 | no | — |
| 327 | C2×Q16 | — | 2 | 2 | no | — |
| 328 | C2×Q16 | — | 2 | 2 | no | — |
| 329 | C2×Q16 | — | 4 | 4 | no | — |
| 330 | C2×Q16 | — | 4 | 2 | no | — |
| 331 | C2×Q16 | — | 4 | 2 | no | — |
| 332 | C2×Q16 | — | 4 | 8 | no | — |
| 333 | C2×Q16 | — | 4 | 4 | no | — |
| 334 | C2×Q16 | C2×D4 | 1 | 4 | yes | — |
| 335 | C2×Q16 | C2×D4 | 1 | 4 | yes | — |
| 336 | C2×Q16 | C24 | 1 | 2 | yes | — |
| 337 | C2×Q16 | C24 | 1 | 1 | yes | characteristic |
| 338 | C2×Q16 | C24 | 1 | 1 | yes | characteristic |
| 339 | C2×Q16 | C24 | 1 | 2 | yes | — |
| 340 | C2×Q16 | C24 | 1 | 2 | yes | — |
| 341 | C2×SD16 | — | 2 | 4 | no | — |
| 342 | C2×SD16 | — | 2 | 2 | no | — |
| 343 | C2×SD16 | — | 2 | 2 | no | — |
| 344 | C2×SD16 | — | 2 | 1 | no | — |
| 345 | C2×SD16 | — | 2 | 1 | no | — |
| 346 | C2×SD16 | — | 2 | 2 | no | — |
| 347 | C2×SD16 | — | 2 | 2 | no | — |
| 348 | C2×SD16 | — | 4 | 4 | no | — |
| 349 | C2×D8 | — | 2 | 2 | no | — |
| 350 | C2×D8 | — | 2 | 1 | no | — |
| 351 | C2×D8 | — | 2 | 2 | no | — |
| 352 | C2×D8 | — | 2 | 2 | no | — |
| 353 | C2×D8 | C24 | 1 | 2 | yes | — |
| 354 | C2×D8 | C24 | 1 | 1 | yes | characteristic |
| 355 | C2×D8 | C24 | 1 | 1 | yes | characteristic |
| 356 | #131 | — | 2 | 2 | no | — |
| 357 | #131 | — | 2 | 2 | no | — |
| 358 | C2×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 359 | C2×M16 | C2×D4 | 1 | 2 | yes | — |
| 360 | C2×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 361 | C22×C8 | — | 2 | 2 | no | — |
| 362 | C22×C8 | — | 2 | 2 | no | — |
| 363 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 364 | C22×C8 | C2×D4 | 1 | 2 | yes | — |
| 365 | C22×C8 | C24 | 1 | 2 | yes | — |
| 366 | C22×C8 | C24 | 1 | 2 | yes | — |
| 367 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 368 | C4⋊Q8 | — | 2 | 2 | no | — |
| 369 | C4⋊Q8 | — | 4 | 1 | no | — |
| 370 | C4⋊Q8 | — | 4 | 4 | no | — |
| 371 | #127 | — | 2 | 2 | no | — |
| 372 | #127 | — | 4 | 1 | no | — |
| 373 | #127 | — | 4 | 4 | no | — |
| 374 | #124 | — | 2 | 2 | no | — |
| 375 | #124 | — | 2 | 2 | no | — |
| 376 | #124 | — | 4 | 1 | no | — |
| 377 | #124 | — | 4 | 1 | no | — |
| 378 | #124 | — | 4 | 4 | no | — |
| 379 | #124 | — | 4 | 4 | no | — |
| 380 | #123 | — | 4 | 2 | no | — |
| 381 | #123 | — | 4 | 1 | no | — |
| 382 | #123 | — | 4 | 1 | no | — |
| 383 | #123 | — | 4 | 2 | no | — |
| 384 | #123 | D8 | 1 | 2 | yes | — |
| 385 | C22⋊Q8 | — | 2 | 2 | no | — |
| 386 | C22⋊Q8 | — | 2 | 2 | no | — |
| 387 | C22⋊Q8 | — | 2 | 4 | no | — |
| 388 | C22⋊Q8 | — | 4 | 4 | no | — |
| 389 | C22⋊Q8 | — | 4 | 2 | no | — |
| 390 | C22⋊Q8 | — | 4 | 4 | no | — |
| 391 | C22⋊Q8 | — | 4 | 4 | no | — |
| 392 | C22⋊Q8 | — | 4 | 4 | no | — |
| 393 | C22⋊Q8 | D8 | 1 | 2 | yes | — |
| 394 | #121 | — | 2 | 2 | no | — |
| 395 | #121 | — | 2 | 2 | no | — |
| 396 | #121 | — | 2 | 4 | no | — |
| 397 | #121 | — | 4 | 4 | no | — |
| 398 | #121 | — | 4 | 4 | no | — |
| 399 | #121 | — | 4 | 2 | no | — |
| 400 | #121 | — | 4 | 4 | no | — |
| 401 | #121 | — | 4 | 4 | no | — |
| 402 | #121 | D8 | 1 | 2 | yes | — |
| 403 | #120 | — | 4 | 1 | no | — |
| 404 | #120 | — | 4 | 1 | no | — |
| 405 | #120 | — | 4 | 2 | no | — |
| 406 | #120 | — | 4 | 2 | no | — |
| 407 | #120 | D8 | 1 | 2 | yes | — |
| 408 | C4×Q8 | — | 2 | 4 | no | — |
| 409 | C4×Q8 | — | 2 | 4 | no | — |
| 410 | C4×Q8 | — | 4 | 2 | no | — |
| 411 | C4×Q8 | — | 4 | 2 | no | — |
| 412 | C4×D4 | — | 4 | 4 | no | — |
| 413 | C4×D4 | — | 4 | 2 | no | — |
| 414 | C4×D4 | — | 4 | 2 | no | — |
| 415 | C4×D4 | — | 4 | 4 | no | — |
| 416 | C4×D4 | — | 4 | 4 | no | — |
| 417 | C4×D4 | — | 4 | 4 | no | — |
| 418 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 419 | #117 | — | 2 | 1 | no | — |
| 420 | #117 | — | 2 | 1 | no | — |
| 421 | #117 | — | 4 | 2 | no | — |
| 422 | #117 | — | 4 | 2 | no | — |
| 423 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 424 | Q32 | — | 2 | 8 | no | — |
| 425 | Q32 | — | 2 | 4 | no | — |
| 426 | Q32 | — | 2 | 4 | no | — |
| 427 | Q32 | — | 2 | 2 | no | — |
| 428 | Q32 | — | 4 | 2 | no | — |
| 429 | Q32 | C2×D4 | 1 | 8 | yes | — |
| 430 | Q32 | C2×D4 | 1 | 8 | yes | — |
| 431 | SD32 | — | 2 | 8 | no | — |
| 432 | SD32 | — | 2 | 4 | no | — |
| 433 | SD32 | — | 2 | 4 | no | — |
| 434 | SD32 | — | 2 | 4 | no | — |
| 435 | SD32 | — | 2 | 4 | no | — |
| 436 | SD32 | — | 2 | 2 | no | — |
| 437 | SD32 | — | 2 | 2 | no | — |
| 438 | SD32 | — | 4 | 2 | no | — |
| 439 | SD32 | — | 4 | 2 | no | — |
| 440 | D16 | — | 2 | 2 | no | — |
| 441 | D16 | — | 4 | 2 | no | — |
| 442 | M32 | — | 2 | 2 | no | — |
| 443 | M32 | — | 2 | 2 | no | — |
| 444 | M32 | — | 2 | 4 | no | — |
| 445 | M32 | — | 2 | 4 | no | — |
| 446 | M32 | — | 2 | 4 | no | — |
| 447 | C2×C16 | — | 2 | 2 | no | — |
| 448 | C2×C16 | — | 2 | 4 | no | — |
| 449 | C2×C16 | C2×D4 | 1 | 4 | yes | — |
| 450 | C2×C16 | C24 | 1 | 2 | yes | — |
| 451 | C2×C16 | C24 | 1 | 2 | yes | — |
| 452 | C2×C16 | C24 | 1 | 2 | yes | — |
| 453 | C2×C16 | C24 | 1 | 1 | yes | characteristic |
| 454 | C2×C16 | C24 | 1 | 1 | yes | characteristic |
| 455 | #107 | C24 | 1 | 2 | yes | — |
| 456 | #107 | C24 | 1 | 2 | yes | — |
| 457 | #106 | — | 2 | 1 | no | — |
| 458 | #106 | — | 2 | 1 | no | — |
| 459 | C4⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 460 | #103 | — | 2 | 2 | no | — |
| 461 | #103 | — | 2 | 2 | no | — |
| 462 | #103 | — | 2 | 4 | no | — |
| 463 | #103 | — | 2 | 4 | no | — |
| 464 | #103 | — | 2 | 4 | no | — |
| 465 | #102 | — | 2 | 2 | no | — |
| 466 | #102 | — | 2 | 2 | no | — |
| 467 | #102 | — | 2 | 4 | no | — |
| 468 | C22⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 469 | C22⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 470 | #97 | C2×D4 | 1 | 2 | yes | — |
| 471 | C4×C8 | C24 | 1 | 2 | yes | — |
| 472 | C24 | — | 4 | 1 | no | — |
| 473 | C24 | C2×D8 | 1 | 1 | yes | characteristic |
| 474 | #41 | — | 2 | 2 | no | — |
| 475 | #41 | — | 2 | 2 | no | — |
| 476 | #41 | — | 4 | 8 | no | — |
| 477 | #41 | — | 4 | 4 | no | — |
| 478 | #41 | — | 4 | 4 | no | — |
| 479 | #41 | — | 4 | 2 | no | — |
| 480 | #41 | — | 4 | 2 | no | — |
| 481 | #41 | — | 4 | 2 | no | — |
| 482 | #41 | — | 4 | 2 | no | — |
| 483 | #41 | — | 8 | 4 | no | — |
| 484 | #41 | — | 8 | 2 | no | — |
| 485 | #41 | — | 8 | 2 | no | — |
| 486 | #41 | — | 8 | 8 | no | — |
| 487 | #41 | — | 8 | 8 | no | — |
| 488 | #41 | — | 8 | 8 | no | — |
| 489 | #41 | — | 8 | 4 | no | — |
| 490 | #41 | — | 8 | 4 | no | — |
| 491 | C2×Q8 | — | 2 | 4 | no | — |
| 492 | C2×Q8 | — | 2 | 4 | no | — |
| 493 | C2×Q8 | — | 2 | 2 | no | — |
| 494 | C2×Q8 | — | 2 | 2 | no | — |
| 495 | C2×Q8 | — | 2 | 1 | no | — |
| 496 | C2×Q8 | — | 2 | 2 | no | — |
| 497 | C2×Q8 | — | 2 | 1 | no | — |
| 498 | C2×Q8 | — | 4 | 8 | no | — |
| 499 | C2×Q8 | — | 4 | 4 | no | — |
| 500 | C2×Q8 | — | 4 | 4 | no | — |
| 501 | C2×Q8 | — | 4 | 1 | no | — |
| 502 | C2×Q8 | — | 4 | 1 | no | — |
| 503 | C2×Q8 | — | 4 | 2 | no | — |
| 504 | C2×Q8 | — | 4 | 4 | no | — |
| 505 | C2×Q8 | — | 4 | 1 | no | — |
| 506 | C2×Q8 | — | 4 | 2 | no | — |
| 507 | C2×Q8 | — | 4 | 2 | no | — |
| 508 | C2×Q8 | — | 4 | 2 | no | — |
| 509 | C2×Q8 | — | 4 | 2 | no | — |
| 510 | C2×Q8 | — | 4 | 2 | no | — |
| 511 | C2×Q8 | — | 8 | 4 | no | — |
| 512 | C2×Q8 | — | 8 | 4 | no | — |
| 513 | C2×Q8 | — | 8 | 2 | no | — |
| 514 | C2×Q8 | — | 8 | 2 | no | — |
| 515 | C2×Q8 | — | 8 | 8 | no | — |
| 516 | C2×Q8 | — | 8 | 4 | no | — |
| 517 | C2×Q8 | — | 8 | 4 | no | — |
| 518 | C2×Q8 | C2×D8 | 1 | 1 | yes | characteristic |
| 519 | C2×D4 | — | 2 | 1 | no | — |
| 520 | C2×D4 | — | 2 | 2 | no | — |
| 521 | C2×D4 | — | 2 | 1 | no | — |
| 522 | C2×D4 | — | 4 | 2 | no | — |
| 523 | C2×D4 | — | 4 | 1 | no | — |
| 524 | C2×D4 | — | 4 | 1 | no | — |
| 525 | C2×D4 | — | 4 | 2 | no | — |
| 526 | C2×D4 | — | 4 | 4 | no | — |
| 527 | C2×D4 | — | 4 | 2 | no | — |
| 528 | C2×D4 | — | 4 | 4 | no | — |
| 529 | C2×D4 | — | 4 | 2 | no | — |
| 530 | C2×D4 | — | 4 | 2 | no | — |
| 531 | C2×D4 | — | 4 | 1 | no | — |
| 532 | C2×D4 | — | 4 | 4 | no | — |
| 533 | C2×D4 | — | 4 | 2 | no | — |
| 534 | C2×D4 | — | 8 | 4 | no | — |
| 535 | C2×D4 | C2×D8 | 1 | 2 | yes | — |
| 536 | C2×D4 | C2×D8 | 1 | 1 | yes | characteristic |
| 537 | C2×D4 | C2×D8 | 1 | 4 | yes | — |
| 538 | C22×C4 | — | 2 | 2 | no | — |
| 539 | C22×C4 | — | 2 | 2 | no | — |
| 540 | C22×C4 | — | 4 | 1 | no | — |
| 541 | C22×C4 | — | 4 | 1 | no | — |
| 542 | C22×C4 | — | 4 | 2 | no | — |
| 543 | C22×C4 | — | 4 | 4 | no | — |
| 544 | C22×C4 | — | 4 | 2 | no | — |
| 545 | C22×C4 | — | 4 | 1 | no | — |
| 546 | C22×C4 | — | 4 | 2 | no | — |
| 547 | C22×C4 | — | 4 | 1 | no | — |
| 548 | C22×C4 | — | 4 | 4 | no | — |
| 549 | C22×C4 | — | 4 | 2 | no | — |
| 550 | C22×C4 | — | 4 | 1 | no | — |
| 551 | C22×C4 | — | 8 | 4 | no | — |
| 552 | C22×C4 | — | 8 | 4 | no | — |
| 553 | C22×C4 | C2×D8 | 1 | 2 | yes | — |
| 554 | C22×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 555 | C22×C4 | C22×D4 | 1 | 2 | yes | — |
| 556 | C22×C4 | C22×D4 | 1 | 2 | yes | — |
| 557 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 558 | Q16 | — | 2 | 4 | no | — |
| 559 | Q16 | — | 2 | 4 | no | — |
| 560 | Q16 | — | 2 | 2 | no | — |
| 561 | Q16 | — | 2 | 1 | no | — |
| 562 | Q16 | — | 2 | 1 | no | — |
| 563 | Q16 | — | 2 | 2 | no | — |
| 564 | Q16 | — | 2 | 2 | no | — |
| 565 | Q16 | — | 2 | 1 | no | — |
| 566 | Q16 | — | 2 | 2 | no | — |
| 567 | Q16 | — | 2 | 1 | no | — |
| 568 | Q16 | — | 4 | 8 | no | — |
| 569 | Q16 | — | 4 | 4 | no | — |
| 570 | Q16 | — | 4 | 4 | no | — |
| 571 | Q16 | — | 4 | 2 | no | — |
| 572 | Q16 | — | 8 | 2 | no | — |
| 573 | Q16 | C22×D4 | 1 | 4 | yes | — |
| 574 | Q16 | C22×D4 | 1 | 4 | yes | — |
| 575 | SD16 | — | 4 | 8 | no | — |
| 576 | SD16 | — | 4 | 4 | no | — |
| 577 | SD16 | — | 4 | 4 | no | — |
| 578 | SD16 | — | 4 | 2 | no | — |
| 579 | SD16 | — | 4 | 2 | no | — |
| 580 | SD16 | — | 8 | 2 | no | — |
| 581 | SD16 | — | 8 | 2 | no | — |
| 582 | D8 | — | 2 | 1 | no | — |
| 583 | D8 | — | 2 | 1 | no | — |
| 584 | D8 | — | 2 | 2 | no | — |
| 585 | D8 | — | 2 | 1 | no | — |
| 586 | D8 | — | 2 | 2 | no | — |
| 587 | D8 | — | 2 | 1 | no | — |
| 588 | D8 | — | 4 | 2 | no | — |
| 589 | D8 | — | 8 | 2 | no | — |
| 590 | M16 | — | 2 | 2 | no | — |
| 591 | M16 | — | 2 | 2 | no | — |
| 592 | M16 | — | 2 | 4 | no | — |
| 593 | C2×C8 | — | 2 | 2 | no | — |
| 594 | C2×C8 | — | 2 | 4 | no | — |
| 595 | C2×C8 | — | 2 | 2 | no | — |
| 596 | C2×C8 | — | 2 | 2 | no | — |
| 597 | C2×C8 | — | 2 | 2 | no | — |
| 598 | C2×C8 | — | 2 | 2 | no | — |
| 599 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 600 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 601 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 602 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 603 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 604 | C2×C8 | H(5,𝔽2) | 1 | 2 | yes | — |
| 605 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 606 | C4⋊C4 | — | 2 | 2 | no | — |
| 607 | C4⋊C4 | — | 2 | 2 | no | — |
| 608 | C4⋊C4 | — | 4 | 4 | no | — |
| 609 | C4⋊C4 | — | 4 | 4 | no | — |
| 610 | C4⋊C4 | — | 4 | 2 | no | — |
| 611 | C4⋊C4 | — | 4 | 4 | no | — |
| 612 | C4⋊C4 | — | 4 | 2 | no | — |
| 613 | C4⋊C4 | — | 4 | 4 | no | — |
| 614 | C4⋊C4 | C2×D8 | 1 | 2 | yes | — |
| 615 | C4⋊C4 | C2×D8 | 1 | 4 | yes | — |
| 616 | C22⋊C4 | — | 4 | 1 | no | — |
| 617 | C22⋊C4 | — | 4 | 1 | no | — |
| 618 | C22⋊C4 | — | 4 | 2 | no | — |
| 619 | C22⋊C4 | — | 4 | 2 | no | — |
| 620 | C22⋊C4 | — | 4 | 4 | no | — |
| 621 | C22⋊C4 | — | 4 | 2 | no | — |
| 622 | C22⋊C4 | — | 4 | 4 | no | — |
| 623 | C22⋊C4 | — | 4 | 4 | no | — |
| 624 | C22⋊C4 | — | 4 | 2 | no | — |
| 625 | C22⋊C4 | — | 4 | 4 | no | — |
| 626 | C22⋊C4 | C2×D8 | 1 | 2 | yes | — |
| 627 | C22⋊C4 | C2×D8 | 1 | 4 | yes | — |
| 628 | C22⋊C4 | C2×D8 | 1 | 4 | yes | — |
| 629 | C42 | — | 4 | 1 | no | — |
| 630 | C42 | — | 4 | 1 | no | — |
| 631 | C42 | — | 4 | 4 | no | — |
| 632 | C42 | — | 4 | 4 | no | — |
| 633 | C42 | C22×D4 | 1 | 2 | yes | — |
| 634 | C16 | — | 2 | 2 | no | — |
| 635 | C16 | — | 2 | 2 | no | — |
| 636 | C16 | — | 2 | 2 | no | — |
| 637 | C16 | C22×D4 | 1 | 2 | yes | — |
| 638 | C16 | C22×D4 | 1 | 2 | yes | — |
| 639 | C23 | — | 2 | 2 | no | — |
| 640 | C23 | — | 4 | 2 | no | — |
| 641 | C23 | — | 4 | 1 | no | — |
| 642 | C23 | — | 4 | 2 | no | — |
| 643 | C23 | — | 4 | 1 | no | — |
| 644 | C23 | — | 8 | 2 | no | — |
| 645 | C23 | — | 16 | 2 | no | — |
| 646 | C23 | C22×D8 | 1 | 2 | yes | — |
| 647 | C23 | C22×D8 | 1 | 2 | yes | — |
| 648 | C23 | C22×D8 | 1 | 1 | yes | characteristic |
| 649 | Q8 | — | 2 | 2 | no | — |
| 650 | Q8 | — | 2 | 4 | no | — |
| 651 | Q8 | — | 2 | 4 | no | — |
| 652 | Q8 | — | 4 | 4 | no | — |
| 653 | Q8 | — | 4 | 4 | no | — |
| 654 | Q8 | — | 4 | 2 | no | — |
| 655 | Q8 | — | 4 | 2 | no | — |
| 656 | Q8 | — | 4 | 1 | no | — |
| 657 | Q8 | — | 4 | 1 | no | — |
| 658 | Q8 | — | 4 | 2 | no | — |
| 659 | Q8 | — | 4 | 1 | no | — |
| 660 | Q8 | — | 4 | 2 | no | — |
| 661 | Q8 | — | 4 | 1 | no | — |
| 662 | Q8 | — | 8 | 8 | no | — |
| 663 | Q8 | — | 8 | 4 | no | — |
| 664 | Q8 | — | 8 | 4 | no | — |
| 665 | Q8 | — | 8 | 2 | no | — |
| 666 | D4 | — | 2 | 4 | no | — |
| 667 | D4 | — | 2 | 2 | no | — |
| 668 | D4 | — | 4 | 4 | no | — |
| 669 | D4 | — | 4 | 2 | no | — |
| 670 | D4 | — | 4 | 1 | no | — |
| 671 | D4 | — | 4 | 1 | no | — |
| 672 | D4 | — | 4 | 1 | no | — |
| 673 | D4 | — | 4 | 2 | no | — |
| 674 | D4 | — | 4 | 1 | no | — |
| 675 | D4 | — | 8 | 8 | no | — |
| 676 | D4 | — | 8 | 4 | no | — |
| 677 | D4 | — | 8 | 4 | no | — |
| 678 | D4 | — | 8 | 4 | no | — |
| 679 | D4 | — | 8 | 2 | no | — |
| 680 | D4 | — | 8 | 2 | no | — |
| 681 | D4 | — | 8 | 2 | no | — |
| 682 | D4 | — | 16 | 4 | no | — |
| 683 | D4 | — | 16 | 4 | no | — |
| 684 | D4 | — | 16 | 2 | no | — |
| 685 | C2×C4 | — | 2 | 2 | no | — |
| 686 | C2×C4 | — | 2 | 2 | no | — |
| 687 | C2×C4 | — | 2 | 2 | no | — |
| 688 | C2×C4 | — | 2 | 4 | no | — |
| 689 | C2×C4 | — | 2 | 2 | no | — |
| 690 | C2×C4 | — | 2 | 2 | no | — |
| 691 | C2×C4 | — | 4 | 4 | no | — |
| 692 | C2×C4 | — | 4 | 4 | no | — |
| 693 | C2×C4 | — | 4 | 2 | no | — |
| 694 | C2×C4 | — | 4 | 2 | no | — |
| 695 | C2×C4 | — | 4 | 2 | no | — |
| 696 | C2×C4 | — | 4 | 2 | no | — |
| 697 | C2×C4 | — | 4 | 1 | no | — |
| 698 | C2×C4 | — | 4 | 2 | no | — |
| 699 | C2×C4 | — | 4 | 1 | no | — |
| 700 | C2×C4 | — | 8 | 8 | no | — |
| 701 | C2×C4 | — | 8 | 4 | no | — |
| 702 | C2×C4 | — | 8 | 4 | no | — |
| 703 | C2×C4 | — | 8 | 8 | no | — |
| 704 | C2×C4 | — | 8 | 4 | no | — |
| 705 | C2×C4 | — | 8 | 4 | no | — |
| 706 | C2×C4 | — | 8 | 2 | no | — |
| 707 | C2×C4 | — | 8 | 2 | no | — |
| 708 | C2×C4 | — | 8 | 2 | no | — |
| 709 | C2×C4 | D42 | 1 | 2 | yes | — |
| 710 | C2×C4 | C22×D8 | 1 | 4 | yes | — |
| 711 | C2×C4 | C22×D8 | 1 | 2 | yes | — |
| 712 | C2×C4 | C22×D8 | 1 | 2 | yes | — |
| 713 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 714 | C2×C4 | #576 | 1 | 2 | yes | — |
| 715 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 716 | C8 | — | 2 | 2 | no | — |
| 717 | C8 | — | 2 | 2 | no | — |
| 718 | C8 | — | 2 | 2 | no | — |
| 719 | C8 | D42 | 1 | 2 | yes | — |
| 720 | C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 721 | C8 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 722 | C22 | — | 2 | 2 | no | — |
| 723 | C22 | — | 2 | 2 | no | — |
| 724 | C22 | — | 2 | 2 | no | — |
| 725 | C22 | — | 2 | 2 | no | — |
| 726 | C22 | — | 2 | 4 | no | — |
| 727 | C22 | — | 2 | 2 | no | — |
| 728 | C22 | — | 4 | 4 | no | — |
| 729 | C22 | — | 8 | 1 | no | — |
| 730 | C22 | — | 8 | 1 | no | — |
| 731 | C22 | — | 8 | 2 | no | — |
| 732 | C22 | — | 8 | 2 | no | — |
| 733 | C22 | — | 8 | 2 | no | — |
| 734 | C22 | — | 8 | 4 | no | — |
| 735 | C22 | — | 16 | 4 | no | — |
| 736 | C22 | D4×D8 | 1 | 2 | yes | — |
| 737 | C22 | C23×D8 | 1 | 1 | yes | characteristic |
| 738 | C4 | — | 2 | 2 | no | — |
| 739 | C4 | — | 2 | 2 | no | — |
| 740 | C4 | — | 2 | 4 | no | — |
| 741 | C4 | — | 4 | 4 | no | — |
| 742 | C4 | — | 4 | 4 | no | — |
| 743 | C4 | — | 8 | 1 | no | — |
| 744 | C4 | — | 8 | 1 | no | — |
| 745 | C4 | — | 8 | 2 | no | — |
| 746 | C4 | — | 8 | 2 | no | — |
| 747 | C4 | — | 8 | 2 | no | — |
| 748 | C4 | D4×D8 | 1 | 2 | yes | — |
| 749 | C4 | C2×D42 | 1 | 1 | yes | characteristic |
| 750 | C4 | C2×#576 | 1 | 1 | yes | characteristic |
| 751 | C2 | — | 2 | 2 | no | — |
| 752 | C2 | — | 4 | 2 | no | — |
| 753 | C2 | — | 4 | 2 | no | — |
| 754 | C2 | — | 16 | 1 | no | — |
| 755 | C2 | — | 16 | 1 | no | — |
| 756 | C2 | — | 16 | 2 | no | — |
| 757 | C2 | C2×D4×D8 | 1 | 1 | yes | characteristic |
| 758 | C2 | #62637 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C23×D8 |
| commutator, Frattini, cosocle | C2×C8 | C25 |
| LCS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ #525 ◁ #2929 ◁ G | |
| LECS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#3417 | C2 | semidirect |
| 2. C22×#510 | C2 | semidirect |
| 3. #61054 | C2 | semidirect |
| 4. #61053 | C2 | semidirect |
| 5. #33844 | C2 | semidirect |
| 6. #33843 | C2 | semidirect |
| 7. #33837 | C2 | semidirect |
| 8. #33836 | C2 | semidirect |
| 9. #33722 | C2 | semidirect |
| 10. #33609 | C2 | semidirect |
| 11. #33604 | C2 | semidirect |
| 12. #33588 | C2 | semidirect |
| 13. #33587 | C2 | semidirect |
| 14. #33525 | C2 | semidirect |
| 15. #33524 | C2 | semidirect |
| 16. #33519 | C2 | semidirect |
| 17. #33518 | C2 | semidirect |
| 18. #33458 | C2 | semidirect |
| 19. #33433 | C2 | semidirect |
| 33. C2×#510 | C22 | semidirect |
| 34. C2×#510 | C22 | semidirect |
| 37. C2×#508 | C22 | semidirect |
| 40. C22×Q32 | C22 | semidirect |
| 46. D4×Q16 | C22 | semidirect |
| 48. #3285 | C22 | semidirect |
| 66. #2251 | C22 | semidirect |
| 67. #2250 | C22 | semidirect |
| 68. #2249 | C22 | semidirect |
| 69. #2248 | C22 | semidirect |
| 70. #2220 | C22 | semidirect |
| 71. #2220 | C22 | semidirect |
| 72. #2220 | C22 | semidirect |
| 73. #2219 | C22 | semidirect |
| 74. #2218 | C22 | semidirect |
| 75. #2217 | C22 | semidirect |
| 76. #2211 | C22 | semidirect |
| 77. #2211 | C22 | semidirect |
| 78. #2209 | C22 | semidirect |
| 79. #2207 | C22 | semidirect |
| 81. #2189 | C22 | semidirect |
| 82. #2188 | C22 | semidirect |
| 83. #2188 | C22 | semidirect |
| 85. #2186 | C22 | semidirect |
| 86. #2185 | C22 | semidirect |
| 87. #2185 | C22 | semidirect |
| 88. #2176 | C22 | semidirect |
| 89. C4×Q32 | C22 | semidirect |
| 90. #2169 | C22 | semidirect |
| 91. #2168 | C22 | semidirect |
| 172. C2×Q32 | D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#3417 | 2 |
| C22×#510 | 2 |
| #61054 | 2 |
| #61053 | 2 |
| #33844 | 2 |
| #33843 | 2 |
| #33837 | 2 |
| #33836 | 2 |
| #33722 | 2 |
| #33609 | 2 |
| #33604 | 2 |
| #33588 | 2 |
| #33587 | 2 |
| #33525 | 2 |
| #33524 | 2 |
| #33519 | 2 |
| #33518 | 2 |
| #33458 | 2 |
| #33433 | 2 |