Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
7158 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 7158 conjugacy classes of subgroups — too many to draw. Only its 60 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 | #11715838 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11715713 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11715709 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11715661 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#87547 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #6628883 | — | 3 | 1 | no | maximal, Sylow |
| 7 | #87547 | — | 2 | 1 | no | — |
| 8 | #87547 | C22 | 1 | 2 | yes | — |
| 9 | C2×#5950 | C22 | 1 | 1 | yes | characteristic |
| 10 | C22×#997 | — | 2 | 1 | no | — |
| 11 | #87521 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | #87519 | — | 2 | 1 | no | — |
| 13 | #87517 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #87515 | — | 2 | 1 | no | — |
| 15 | #85566 | C22 | 1 | 2 | yes | complemented |
| 16 | #85489 | — | 4 | 3 | no | maximal |
| 17 | C2×H(7,𝔽2) | D3 | 1 | 1 | yes | characteristic, complemented |
| 18 | #60398 | — | 3 | 1 | no | — |
| 19 | #60387 | — | 3 | 3 | no | — |
| 20 | #60367 | — | 3 | 3 | no | — |
| 21 | #32896 | — | 3 | 6 | no | — |
| 22 | #32896 | — | 3 | 2 | no | — |
| 23 | #32894 | — | 3 | 6 | no | — |
| 24 | #32894 | — | 3 | 2 | no | — |
| 25 | C2×#1795 | — | 3 | 3 | no | — |
| 26 | #20620 | — | 3 | 3 | no | — |
| 27 | #20612 | — | 3 | 1 | no | — |
| 28 | #5950 | D4 | 1 | 1 | yes | characteristic |
| 29 | #5950 | C23 | 1 | 1 | yes | characteristic |
| 30 | C2×#997 | — | 2 | 2 | no | — |
| 31 | C2×#997 | D4 | 1 | 1 | yes | characteristic |
| 32 | C2×2−1+4⋊C3 | — | 8 | 1 | no | — |
| 33 | C2×D4×A4 | — | 4 | 3 | no | — |
| 34 | #5934 | — | 2 | 1 | no | — |
| 35 | #5932 | — | 2 | 1 | no | — |
| 36 | #5912 | — | 4 | 3 | no | — |
| 37 | #5415 | — | 4 | 6 | no | — |
| 38 | #5414 | — | 4 | 6 | no | — |
| 39 | #5409 | — | 4 | 3 | no | — |
| 40 | H(7,𝔽2) | — | 2 | 1 | no | — |
| 41 | H(7,𝔽2) | — | 3 | 6 | no | — |
| 42 | H(7,𝔽2) | — | 6 | 2 | no | — |
| 43 | H(7,𝔽2) | — | 6 | 2 | no | — |
| 44 | H(7,𝔽2) | — | 6 | 3 | no | — |
| 45 | H(7,𝔽2) | C2×D3 | 1 | 2 | yes | — |
| 46 | C2×#585 | — | 3 | 3 | no | — |
| 47 | C2×#585 | — | 6 | 1 | no | — |
| 48 | C2×#585 | — | 6 | 2 | no | — |
| 49 | C2×#585 | C2×D3 | 1 | 1 | yes | characteristic |
| 50 | C22×H(5,𝔽2) | — | 2 | 1 | no | — |
| 51 | C22×H(5,𝔽2) | — | 3 | 3 | no | — |
| 52 | C22×H(5,𝔽2) | — | 6 | 1 | no | — |
| 53 | C22×H(5,𝔽2) | — | 6 | 3 | no | — |
| 54 | C2×#575 | — | 3 | 3 | no | — |
| 55 | C22×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 56 | #3449 | — | 3 | 3 | no | — |
| 57 | #3028 | — | 3 | 3 | no | — |
| 58 | #3028 | — | 3 | 1 | no | — |
| 59 | #3027 | — | 3 | 3 | no | — |
| 60 | #3027 | — | 3 | 1 | no | — |
| 61 | #3026 | — | 6 | 3 | no | — |
| 62 | #3026 | — | 6 | 1 | no | — |
| 63 | #3025 | — | 6 | 3 | no | — |
| 64 | #3025 | — | 6 | 1 | no | — |
| 65 | #3022 | — | 3 | 6 | no | — |
| 66 | #3022 | — | 3 | 6 | no | — |
| 67 | #3021 | — | 3 | 6 | no | — |
| 68 | #3021 | — | 3 | 6 | no | — |
| 69 | #3020 | — | 6 | 6 | no | — |
| 70 | #3019 | — | 6 | 6 | no | — |
| 71 | #3018 | — | 6 | 6 | no | — |
| 72 | #3018 | — | 6 | 6 | no | — |
| 73 | #3012 | — | 6 | 6 | no | — |
| 74 | #3012 | — | 6 | 6 | no | — |
| 75 | #3009 | — | 3 | 6 | no | — |
| 76 | #3009 | — | 3 | 6 | no | — |
| 77 | #3008 | — | 3 | 6 | no | — |
| 78 | #3008 | — | 3 | 6 | no | — |
| 79 | #3005 | — | 6 | 3 | no | — |
| 80 | #3005 | — | 6 | 3 | no | — |
| 81 | #3003 | — | 6 | 3 | no | — |
| 82 | #3003 | — | 6 | 3 | no | — |
| 83 | C2×#421 | — | 3 | 6 | no | — |
| 84 | #2896 | — | 3 | 3 | no | — |
| 85 | C2×#418 | — | 3 | 3 | no | — |
| 86 | C2×#413 | — | 3 | 3 | no | — |
| 87 | C2×#410 | — | 3 | 3 | no | — |
| 88 | #2879 | — | 3 | 3 | no | — |
| 89 | #1795 | — | 3 | 12 | no | — |
| 90 | #1795 | — | 3 | 6 | no | — |
| 91 | #1795 | — | 3 | 6 | no | — |
| 92 | #1794 | — | 3 | 6 | no | — |
| 93 | #1794 | — | 3 | 6 | no | — |
| 94 | #1794 | — | 3 | 12 | no | — |
| 95 | #1791 | — | 3 | 6 | no | — |
| 96 | #1791 | — | 3 | 2 | no | — |
| 97 | C23×A4 | — | 8 | 3 | no | — |
| 98 | #997 | C2×D4 | 1 | 1 | yes | characteristic |
| 99 | 2−1+4⋊C3 | — | 8 | 2 | no | — |
| 100 | 2−1+4⋊C3 | — | 8 | 2 | no | — |
| 101 | C2×#41⋊C3 | — | 8 | 1 | no | — |
| 102 | C22×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 103 | D4×A4 | — | 4 | 6 | no | — |
| 104 | D4×A4 | — | 8 | 3 | no | — |
| 105 | C2×C4×A4 | — | 4 | 3 | no | — |
| 106 | GL(2,ℤ/4) | — | 8 | 3 | no | — |
| 107 | C4⋊S4 | — | 4 | 3 | no | — |
| 108 | C4×S4 | — | 8 | 3 | no | — |
| 109 | A4⋊Q8 | — | 4 | 3 | no | — |
| 110 | #932 | — | 16 | 1 | no | — |
| 111 | A4⋊C8 | — | 4 | 6 | no | — |
| 112 | #585 | — | 3 | 3 | no | — |
| 113 | #585 | — | 3 | 3 | no | — |
| 114 | #585 | — | 3 | 6 | no | — |
| 115 | #585 | — | 3 | 6 | no | — |
| 116 | #585 | — | 3 | 6 | no | — |
| 117 | #585 | — | 3 | 6 | no | — |
| 118 | #585 | — | 6 | 2 | no | — |
| 119 | #585 | — | 6 | 3 | no | — |
| 120 | #585 | — | 6 | 1 | no | — |
| 121 | #585 | — | 6 | 1 | no | — |
| 122 | #585 | — | 6 | 12 | no | — |
| 123 | #585 | — | 6 | 6 | no | — |
| 124 | #585 | — | 6 | 3 | no | — |
| 125 | #585 | — | 6 | 3 | no | — |
| 126 | #585 | — | 6 | 12 | no | — |
| 127 | #585 | — | 6 | 6 | no | — |
| 128 | #585 | — | 6 | 3 | no | — |
| 129 | #585 | — | 6 | 2 | no | — |
| 130 | #585 | — | 6 | 2 | no | — |
| 131 | #585 | — | 6 | 2 | no | — |
| 132 | #585 | — | 6 | 4 | no | — |
| 133 | #585 | — | 6 | 24 | no | — |
| 134 | #585 | — | 6 | 12 | no | — |
| 135 | #585 | — | 6 | 4 | no | — |
| 136 | #585 | — | 6 | 6 | no | — |
| 137 | #585 | — | 6 | 6 | no | — |
| 138 | #585 | — | 6 | 8 | no | — |
| 139 | #585 | — | 6 | 12 | no | — |
| 140 | #585 | #67 | 1 | 1 | yes | characteristic |
| 141 | #585 | C22×D3 | 1 | 1 | yes | characteristic |
| 142 | C2×2−1+4 | — | 2 | 1 | no | — |
| 143 | C2×2−1+4 | — | 3 | 6 | no | — |
| 144 | C2×2−1+4 | — | 6 | 2 | no | — |
| 145 | C2×2−1+4 | — | 6 | 1 | no | — |
| 146 | C2×2−1+4 | — | 6 | 3 | no | — |
| 147 | C2×H(5,𝔽2) | — | 2 | 2 | no | — |
| 148 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 149 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 150 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 151 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 152 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 153 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 154 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 155 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 156 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 157 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 158 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 159 | C2×H(5,𝔽2) | — | 6 | 12 | no | — |
| 160 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 161 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 162 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 163 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 164 | C2×H(5,𝔽2) | — | 6 | 1 | no | — |
| 165 | C2×H(5,𝔽2) | — | 6 | 12 | no | — |
| 166 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 167 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 168 | C2×H(5,𝔽2) | — | 6 | 12 | no | — |
| 169 | C2×H(5,𝔽2) | — | 6 | 12 | no | — |
| 170 | C2×H(5,𝔽2) | — | 6 | 12 | no | — |
| 171 | C2×H(5,𝔽2) | — | 6 | 24 | no | — |
| 172 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 173 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 174 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 175 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 176 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 177 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 178 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 179 | C2×H(5,𝔽2) | — | 6 | 24 | no | — |
| 180 | C2×H(5,𝔽2) | — | 6 | 12 | no | — |
| 181 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 182 | C2×H(5,𝔽2) | — | 6 | 4 | no | — |
| 183 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 184 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 185 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 186 | C2×H(5,𝔽2) | #67 | 1 | 1 | yes | characteristic |
| 187 | C22×#41 | — | 3 | 3 | no | — |
| 188 | C22×#41 | — | 3 | 3 | no | — |
| 189 | C22×#41 | — | 3 | 3 | no | — |
| 190 | C22×#41 | — | 3 | 1 | no | — |
| 191 | C22×#41 | — | 3 | 3 | no | — |
| 192 | C22×#41 | — | 6 | 1 | no | — |
| 193 | C22×#41 | — | 6 | 3 | no | — |
| 194 | C22×#41 | — | 6 | 2 | no | — |
| 195 | C22×#41 | — | 6 | 3 | no | — |
| 196 | C22×#41 | — | 6 | 12 | no | — |
| 197 | C22×#41 | — | 6 | 6 | no | — |
| 198 | C22×#41 | — | 6 | 2 | no | — |
| 199 | C23×D4 | — | 3 | 1 | no | — |
| 200 | C23×D4 | — | 3 | 3 | no | — |
| 201 | C23×D4 | — | 6 | 3 | no | — |
| 202 | C23×D4 | — | 6 | 3 | no | — |
| 203 | C23×D4 | — | 6 | 3 | no | — |
| 204 | C23×D4 | — | 6 | 6 | no | — |
| 205 | C23×D4 | S4 | 1 | 3 | yes | complemented |
| 206 | #575 | — | 6 | 12 | no | — |
| 207 | #575 | — | 6 | 12 | no | — |
| 208 | C2×#137 | — | 3 | 6 | no | — |
| 209 | C2×#137 | — | 6 | 3 | no | — |
| 210 | C2×AGL(1,ℤ/8) | — | 3 | 6 | no | — |
| 211 | C2×AGL(1,ℤ/8) | — | 6 | 3 | no | — |
| 212 | C2×AGL(1,ℤ/8) | — | 6 | 3 | no | — |
| 213 | C2×AGL(1,ℤ/8) | — | 6 | 3 | no | — |
| 214 | C2×AGL(1,ℤ/8) | — | 6 | 6 | no | — |
| 215 | C2×#135 | — | 6 | 6 | no | — |
| 216 | C22×SD16 | — | 3 | 2 | no | — |
| 217 | C22×D8 | — | 3 | 2 | no | — |
| 218 | C22×M16 | — | 3 | 1 | no | — |
| 219 | C22×M16 | — | 3 | 3 | no | — |
| 220 | #537 | — | 6 | 3 | no | — |
| 221 | #537 | — | 6 | 3 | no | — |
| 222 | #536 | — | 3 | 3 | no | — |
| 223 | #536 | — | 3 | 3 | no | — |
| 224 | #536 | — | 6 | 3 | no | — |
| 225 | #535 | — | 3 | 3 | no | — |
| 226 | #535 | — | 3 | 3 | no | — |
| 227 | #535 | — | 6 | 3 | no | — |
| 228 | #534 | — | 6 | 3 | no | — |
| 229 | #534 | — | 6 | 3 | no | — |
| 230 | #532 | — | 6 | 3 | no | — |
| 231 | #532 | — | 6 | 3 | no | — |
| 232 | #525 | — | 6 | 3 | no | — |
| 233 | #525 | — | 6 | 3 | no | — |
| 234 | #525 | — | 6 | 3 | no | — |
| 235 | #525 | — | 6 | 3 | no | — |
| 236 | C2×#117 | — | 3 | 3 | no | — |
| 237 | #458 | — | 6 | 3 | no | — |
| 238 | #458 | — | 6 | 3 | no | — |
| 239 | #458 | — | 6 | 3 | no | — |
| 240 | #458 | — | 6 | 6 | no | — |
| 241 | #458 | — | 6 | 1 | no | — |
| 242 | B(4,𝔽2) | — | 6 | 3 | no | — |
| 243 | B(4,𝔽2) | — | 6 | 3 | no | — |
| 244 | B(4,𝔽2) | — | 6 | 3 | no | — |
| 245 | B(4,𝔽2) | — | 6 | 6 | no | — |
| 246 | B(4,𝔽2) | — | 6 | 1 | no | — |
| 247 | #456 | — | 6 | 12 | no | — |
| 248 | #456 | — | 6 | 12 | no | — |
| 249 | #455 | — | 6 | 12 | no | — |
| 250 | #455 | — | 6 | 12 | no | — |
| 251 | #454 | — | 6 | 12 | no | — |
| 252 | #454 | — | 6 | 12 | no | — |
| 253 | #453 | — | 6 | 12 | no | — |
| 254 | #453 | — | 6 | 12 | no | — |
| 255 | #452 | — | 6 | 6 | no | — |
| 256 | #452 | — | 6 | 6 | no | — |
| 257 | #452 | — | 6 | 6 | no | — |
| 258 | #452 | — | 6 | 6 | no | — |
| 259 | #450 | — | 6 | 6 | no | — |
| 260 | #450 | — | 6 | 6 | no | — |
| 261 | #450 | — | 6 | 6 | no | — |
| 262 | #450 | — | 6 | 6 | no | — |
| 263 | #449 | — | 6 | 6 | no | — |
| 264 | #449 | — | 6 | 6 | no | — |
| 265 | #449 | — | 6 | 6 | no | — |
| 266 | #449 | — | 6 | 6 | no | — |
| 267 | #447 | — | 6 | 6 | no | — |
| 268 | #447 | — | 6 | 6 | no | — |
| 269 | #447 | — | 6 | 6 | no | — |
| 270 | #447 | — | 6 | 6 | no | — |
| 271 | #421 | — | 3 | 12 | no | — |
| 272 | #421 | — | 3 | 12 | no | — |
| 273 | #421 | — | 6 | 12 | no | — |
| 274 | C2×#104 | — | 6 | 12 | no | — |
| 275 | #419 | — | 6 | 3 | no | — |
| 276 | #418 | — | 3 | 6 | no | — |
| 277 | #418 | — | 3 | 6 | no | — |
| 278 | #418 | — | 6 | 3 | no | — |
| 279 | #418 | — | 6 | 3 | no | — |
| 280 | #418 | — | 6 | 3 | no | — |
| 281 | #417 | — | 6 | 6 | no | — |
| 282 | #416 | — | 3 | 6 | no | — |
| 283 | #416 | — | 3 | 6 | no | — |
| 284 | C2×#102 | — | 6 | 6 | no | — |
| 285 | #413 | — | 3 | 6 | no | — |
| 286 | #413 | — | 3 | 6 | no | — |
| 287 | #413 | — | 6 | 3 | no | — |
| 288 | #413 | — | 6 | 3 | no | — |
| 289 | C2×#101 | — | 6 | 3 | no | — |
| 290 | C2×#100 | — | 6 | 3 | no | — |
| 291 | #410 | — | 3 | 6 | no | — |
| 292 | #410 | — | 3 | 3 | no | — |
| 293 | #410 | — | 3 | 3 | no | — |
| 294 | #410 | — | 6 | 3 | no | — |
| 295 | #410 | — | 6 | 3 | no | — |
| 296 | C2×#99 | — | 6 | 3 | no | — |
| 297 | C2×#99 | — | 6 | 3 | no | — |
| 298 | #408 | — | 3 | 6 | no | — |
| 299 | #408 | — | 3 | 6 | no | — |
| 300 | #408 | — | 6 | 3 | no | — |
| 301 | #408 | — | 6 | 3 | no | — |
| 302 | #407 | — | 6 | 3 | no | — |
| 303 | #407 | — | 6 | 3 | no | — |
| 304 | C22×A4 | — | 4 | 3 | no | — |
| 305 | C22×A4 | — | 8 | 6 | no | — |
| 306 | C22×A4 | — | 16 | 6 | no | — |
| 307 | C2×S4 | — | 8 | 3 | no | — |
| 308 | C2×C3×D4 | — | 16 | 1 | no | — |
| 309 | #235 | — | 16 | 1 | no | — |
| 310 | #41⋊C3 | — | 8 | 1 | no | — |
| 311 | #41⋊C3 | — | 8 | 1 | no | — |
| 312 | C2×SL(2,𝔽3) | — | 8 | 1 | no | — |
| 313 | C2×SL(2,𝔽3) | — | 8 | 4 | no | — |
| 314 | C4×A4 | — | 4 | 3 | no | — |
| 315 | C4×A4 | — | 4 | 3 | no | — |
| 316 | SL(2,ℤ/4) | — | 8 | 3 | no | — |
| 317 | #214 | — | 16 | 2 | no | — |
| 318 | #213 | — | 16 | 2 | no | — |
| 319 | #208 | — | 16 | 1 | no | — |
| 320 | C25 | — | 2 | 3 | no | — |
| 321 | C25 | — | 6 | 1 | no | — |
| 322 | C25 | — | 6 | 3 | no | — |
| 323 | 2−1+4 | — | 2 | 2 | no | — |
| 324 | 2−1+4 | — | 2 | 2 | no | — |
| 325 | 2−1+4 | — | 3 | 12 | no | — |
| 326 | 2−1+4 | — | 3 | 12 | no | — |
| 327 | 2−1+4 | — | 6 | 4 | no | — |
| 328 | 2−1+4 | — | 6 | 4 | no | — |
| 329 | 2−1+4 | — | 6 | 1 | no | — |
| 330 | 2−1+4 | — | 6 | 1 | no | — |
| 331 | 2−1+4 | — | 6 | 6 | no | — |
| 332 | 2−1+4 | — | 6 | 6 | no | — |
| 333 | 2−1+4 | — | 6 | 6 | no | — |
| 334 | 2−1+4 | — | 6 | 6 | no | — |
| 335 | 2−1+4 | — | 6 | 6 | no | — |
| 336 | 2−1+4 | — | 6 | 3 | no | — |
| 337 | 2−1+4 | — | 6 | 3 | no | — |
| 338 | 2−1+4 | — | 6 | 12 | no | — |
| 339 | 2−1+4 | — | 6 | 12 | no | — |
| 340 | 2−1+4 | — | 6 | 24 | no | — |
| 341 | 2−1+4 | — | 6 | 2 | no | — |
| 342 | 2−1+4 | — | 6 | 2 | no | — |
| 343 | 2−1+4 | — | 6 | 2 | no | — |
| 344 | 2−1+4 | — | 6 | 6 | no | — |
| 345 | 2−1+4 | — | 6 | 6 | no | — |
| 346 | 2−1+4 | — | 6 | 12 | no | — |
| 347 | 2−1+4 | — | 6 | 12 | no | — |
| 348 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 349 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 350 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 351 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 352 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 353 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 354 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 355 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 356 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 357 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 358 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 359 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 360 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 361 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 362 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 363 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 364 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 365 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 366 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 367 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 368 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 369 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 370 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 371 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 372 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 373 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 374 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 375 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 376 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 377 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 378 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 379 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 380 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 381 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 382 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 383 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 384 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 385 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 386 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 387 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 388 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 389 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 390 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 391 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 392 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 393 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 394 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 395 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 396 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 397 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 398 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 399 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 400 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 401 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 402 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 403 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 404 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 405 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 406 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 407 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 408 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 409 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 410 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 411 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 412 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 413 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 414 | H(5,𝔽2) | C2×#67 | 1 | 1 | yes | characteristic |
| 415 | C2×#41 | — | 2 | 1 | no | — |
| 416 | C2×#41 | — | 3 | 3 | no | — |
| 417 | C2×#41 | — | 3 | 3 | no | — |
| 418 | C2×#41 | — | 3 | 3 | no | — |
| 419 | C2×#41 | — | 3 | 3 | no | — |
| 420 | C2×#41 | — | 3 | 3 | no | — |
| 421 | C2×#41 | — | 3 | 3 | no | — |
| 422 | C2×#41 | — | 3 | 3 | no | — |
| 423 | C2×#41 | — | 3 | 3 | no | — |
| 424 | C2×#41 | — | 3 | 6 | no | — |
| 425 | C2×#41 | — | 3 | 6 | no | — |
| 426 | C2×#41 | — | 3 | 12 | no | — |
| 427 | C2×#41 | — | 3 | 12 | no | — |
| 428 | C2×#41 | — | 3 | 6 | no | — |
| 429 | C2×#41 | — | 3 | 6 | no | — |
| 430 | C2×#41 | — | 3 | 6 | no | — |
| 431 | C2×#41 | — | 3 | 6 | no | — |
| 432 | C2×#41 | — | 6 | 1 | no | — |
| 433 | C2×#41 | — | 6 | 1 | no | — |
| 434 | C2×#41 | — | 6 | 1 | no | — |
| 435 | C2×#41 | — | 6 | 3 | no | — |
| 436 | C2×#41 | — | 6 | 6 | no | — |
| 437 | C2×#41 | — | 6 | 6 | no | — |
| 438 | C2×#41 | — | 6 | 6 | no | — |
| 439 | C2×#41 | — | 6 | 3 | no | — |
| 440 | C2×#41 | — | 6 | 3 | no | — |
| 441 | C2×#41 | — | 6 | 6 | no | — |
| 442 | C2×#41 | — | 6 | 6 | no | — |
| 443 | C2×#41 | — | 6 | 6 | no | — |
| 444 | C2×#41 | — | 6 | 6 | no | — |
| 445 | C2×#41 | — | 6 | 3 | no | — |
| 446 | C2×#41 | — | 6 | 6 | no | — |
| 447 | C2×#41 | — | 6 | 3 | no | — |
| 448 | C2×#41 | — | 6 | 3 | no | — |
| 449 | C2×#41 | — | 6 | 3 | no | — |
| 450 | C2×#41 | — | 6 | 3 | no | — |
| 451 | C2×#41 | — | 6 | 3 | no | — |
| 452 | C2×#41 | — | 6 | 6 | no | — |
| 453 | C2×#41 | — | 6 | 3 | no | — |
| 454 | C2×#41 | — | 6 | 6 | no | — |
| 455 | C2×#41 | — | 6 | 6 | no | — |
| 456 | C2×#41 | — | 6 | 3 | no | — |
| 457 | C2×#41 | — | 6 | 6 | no | — |
| 458 | C2×#41 | — | 6 | 6 | no | — |
| 459 | C2×#41 | — | 6 | 3 | no | — |
| 460 | C2×#41 | — | 6 | 3 | no | — |
| 461 | C2×#41 | — | 6 | 3 | no | — |
| 462 | C2×#41 | — | 6 | 3 | no | — |
| 463 | C2×#41 | — | 6 | 3 | no | — |
| 464 | C2×#41 | — | 6 | 6 | no | — |
| 465 | C2×#41 | — | 6 | 12 | no | — |
| 466 | C2×#41 | — | 6 | 2 | no | — |
| 467 | C2×#41 | — | 6 | 4 | no | — |
| 468 | C2×#41 | — | 6 | 4 | no | — |
| 469 | C2×#41 | — | 6 | 6 | no | — |
| 470 | C2×#41 | — | 6 | 6 | no | — |
| 471 | C2×#41 | — | 6 | 12 | no | — |
| 472 | C2×#41 | — | 6 | 6 | no | — |
| 473 | C2×#41 | — | 6 | 6 | no | — |
| 474 | C2×#41 | — | 6 | 6 | no | — |
| 475 | C2×#41 | — | 6 | 6 | no | — |
| 476 | C2×#41 | — | 6 | 1 | no | — |
| 477 | C2×#41 | — | 6 | 1 | no | — |
| 478 | C2×#41 | — | 6 | 24 | no | — |
| 479 | C2×#41 | — | 6 | 24 | no | — |
| 480 | C2×#41 | — | 6 | 24 | no | — |
| 481 | C2×#41 | — | 6 | 24 | no | — |
| 482 | C2×#41 | — | 6 | 6 | no | — |
| 483 | C2×#41 | — | 6 | 6 | no | — |
| 484 | C2×#41 | — | 6 | 6 | no | — |
| 485 | C2×#41 | — | 6 | 6 | no | — |
| 486 | C2×#41 | — | 6 | 6 | no | — |
| 487 | C2×#41 | — | 6 | 6 | no | — |
| 488 | C2×#41 | — | 6 | 6 | no | — |
| 489 | C2×#41 | — | 6 | 24 | no | — |
| 490 | C2×#41 | — | 6 | 24 | no | — |
| 491 | C2×#41 | — | 6 | 12 | no | — |
| 492 | C2×#41 | — | 6 | 24 | no | — |
| 493 | C2×#41 | — | 6 | 12 | no | — |
| 494 | C2×#41 | — | 6 | 24 | no | — |
| 495 | C2×#41 | — | 6 | 24 | no | — |
| 496 | C2×#41 | — | 6 | 24 | no | — |
| 497 | C2×#41 | — | 6 | 12 | no | — |
| 498 | C2×#41 | — | 6 | 12 | no | — |
| 499 | C2×#41 | — | 6 | 4 | no | — |
| 500 | C2×#41 | — | 6 | 12 | no | — |
| 501 | C2×#41 | — | 6 | 12 | no | — |
| 502 | C2×#41 | — | 6 | 4 | no | — |
| 503 | C2×#41 | — | 6 | 12 | no | — |
| 504 | C2×#41 | — | 6 | 24 | no | — |
| 505 | C2×#41 | — | 6 | 12 | no | — |
| 506 | C2×#41 | — | 6 | 1 | no | — |
| 507 | C2×#41 | — | 6 | 2 | no | — |
| 508 | C2×#41 | — | 6 | 3 | no | — |
| 509 | C22×Q8 | — | 2 | 2 | no | — |
| 510 | C22×Q8 | — | 3 | 3 | no | — |
| 511 | C22×Q8 | — | 3 | 3 | no | — |
| 512 | C22×Q8 | — | 3 | 1 | no | — |
| 513 | C22×Q8 | — | 6 | 1 | no | — |
| 514 | C22×Q8 | — | 6 | 6 | no | — |
| 515 | C22×Q8 | — | 6 | 1 | no | — |
| 516 | C22×D4 | — | 2 | 3 | no | — |
| 517 | C22×D4 | — | 3 | 3 | no | — |
| 518 | C22×D4 | — | 3 | 2 | no | — |
| 519 | C22×D4 | — | 3 | 3 | no | — |
| 520 | C22×D4 | — | 3 | 6 | no | — |
| 521 | C22×D4 | — | 3 | 3 | no | — |
| 522 | C22×D4 | — | 3 | 3 | no | — |
| 523 | C22×D4 | — | 3 | 3 | no | — |
| 524 | C22×D4 | — | 3 | 3 | no | — |
| 525 | C22×D4 | — | 3 | 6 | no | — |
| 526 | C22×D4 | — | 3 | 6 | no | — |
| 527 | C22×D4 | — | 3 | 6 | no | — |
| 528 | C22×D4 | — | 3 | 1 | no | — |
| 529 | C22×D4 | — | 6 | 3 | no | — |
| 530 | C22×D4 | — | 6 | 3 | no | — |
| 531 | C22×D4 | — | 6 | 3 | no | — |
| 532 | C22×D4 | — | 6 | 3 | no | — |
| 533 | C22×D4 | — | 6 | 3 | no | — |
| 534 | C22×D4 | — | 6 | 1 | no | — |
| 535 | C22×D4 | — | 6 | 3 | no | — |
| 536 | C22×D4 | — | 6 | 3 | no | — |
| 537 | C22×D4 | — | 6 | 3 | no | — |
| 538 | C22×D4 | — | 6 | 6 | no | — |
| 539 | C22×D4 | — | 6 | 6 | no | — |
| 540 | C22×D4 | — | 6 | 6 | no | — |
| 541 | C22×D4 | — | 6 | 6 | no | — |
| 542 | C22×D4 | — | 6 | 6 | no | — |
| 543 | C22×D4 | — | 6 | 6 | no | — |
| 544 | C22×D4 | — | 6 | 6 | no | — |
| 545 | C22×D4 | — | 6 | 12 | no | — |
| 546 | C22×D4 | — | 6 | 6 | no | — |
| 547 | C22×D4 | — | 6 | 6 | no | — |
| 548 | C22×D4 | — | 6 | 6 | no | — |
| 549 | C22×D4 | — | 6 | 6 | no | — |
| 550 | C22×D4 | — | 6 | 6 | no | — |
| 551 | C22×D4 | — | 6 | 6 | no | — |
| 552 | C22×D4 | — | 6 | 6 | no | — |
| 553 | C22×D4 | — | 6 | 6 | no | — |
| 554 | C22×D4 | — | 6 | 3 | no | — |
| 555 | C22×D4 | — | 6 | 3 | no | — |
| 556 | C22×D4 | — | 6 | 3 | no | — |
| 557 | C22×D4 | — | 6 | 6 | no | — |
| 558 | C22×D4 | — | 6 | 12 | no | — |
| 559 | C22×D4 | — | 6 | 12 | no | — |
| 560 | C22×D4 | — | 6 | 6 | no | — |
| 561 | C22×D4 | — | 6 | 12 | no | — |
| 562 | C22×D4 | — | 6 | 6 | no | — |
| 563 | C22×D4 | — | 6 | 24 | no | — |
| 564 | C22×D4 | — | 6 | 12 | no | — |
| 565 | C22×D4 | — | 6 | 24 | no | — |
| 566 | C22×D4 | — | 6 | 24 | no | — |
| 567 | C22×D4 | — | 6 | 12 | no | — |
| 568 | C22×D4 | — | 6 | 24 | no | — |
| 569 | C22×D4 | — | 6 | 12 | no | — |
| 570 | C22×D4 | — | 6 | 24 | no | — |
| 571 | C22×D4 | — | 6 | 12 | no | — |
| 572 | C22×D4 | — | 6 | 3 | no | — |
| 573 | C22×D4 | — | 6 | 1 | no | — |
| 574 | C22×D4 | C2×S4 | 1 | 6 | yes | — |
| 575 | C23×C4 | — | 3 | 1 | no | — |
| 576 | C23×C4 | — | 3 | 3 | no | — |
| 577 | C23×C4 | — | 6 | 3 | no | — |
| 578 | C23×C4 | — | 6 | 3 | no | — |
| 579 | C23×C4 | — | 6 | 3 | no | — |
| 580 | C23×C4 | — | 6 | 1 | no | — |
| 581 | C23×C4 | — | 6 | 6 | no | — |
| 582 | C23×C4 | C2×S4 | 1 | 3 | yes | — |
| 583 | #137 | — | 6 | 24 | no | — |
| 584 | #137 | — | 12 | 6 | no | — |
| 585 | #137 | — | 12 | 6 | no | — |
| 586 | AGL(1,ℤ/8) | — | 6 | 24 | no | — |
| 587 | AGL(1,ℤ/8) | — | 12 | 6 | no | — |
| 588 | AGL(1,ℤ/8) | — | 12 | 6 | no | — |
| 589 | AGL(1,ℤ/8) | — | 12 | 3 | no | — |
| 590 | AGL(1,ℤ/8) | — | 12 | 6 | no | — |
| 591 | AGL(1,ℤ/8) | — | 12 | 6 | no | — |
| 592 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 593 | #135 | — | 12 | 24 | no | — |
| 594 | C2×Q16 | — | 6 | 6 | no | — |
| 595 | C2×SD16 | — | 6 | 6 | no | — |
| 596 | C2×SD16 | — | 6 | 6 | no | — |
| 597 | C2×SD16 | — | 6 | 6 | no | — |
| 598 | C2×SD16 | — | 6 | 6 | no | — |
| 599 | C2×D8 | — | 6 | 6 | no | — |
| 600 | C2×D8 | — | 6 | 6 | no | — |
| 601 | C2×D8 | — | 6 | 6 | no | — |
| 602 | C2×M16 | — | 3 | 6 | no | — |
| 603 | C2×M16 | — | 6 | 3 | no | — |
| 604 | C2×M16 | — | 6 | 3 | no | — |
| 605 | C2×M16 | — | 6 | 3 | no | — |
| 606 | C2×M16 | — | 6 | 6 | no | — |
| 607 | C2×M16 | — | 6 | 6 | no | — |
| 608 | C22×C8 | — | 3 | 2 | no | — |
| 609 | C22×C8 | — | 6 | 3 | no | — |
| 610 | C4⋊Q8 | — | 6 | 3 | no | — |
| 611 | C4⋊Q8 | — | 6 | 3 | no | — |
| 612 | #127 | — | 6 | 3 | no | — |
| 613 | #127 | — | 6 | 3 | no | — |
| 614 | #124 | — | 6 | 3 | no | — |
| 615 | #124 | — | 6 | 3 | no | — |
| 616 | #124 | — | 6 | 3 | no | — |
| 617 | #124 | — | 6 | 3 | no | — |
| 618 | #123 | — | 6 | 3 | no | — |
| 619 | #123 | — | 6 | 3 | no | — |
| 620 | #123 | — | 6 | 3 | no | — |
| 621 | #123 | — | 6 | 3 | no | — |
| 622 | #123 | — | 12 | 3 | no | — |
| 623 | #123 | — | 12 | 3 | no | — |
| 624 | C22⋊Q8 | — | 6 | 3 | no | — |
| 625 | C22⋊Q8 | — | 6 | 3 | no | — |
| 626 | C22⋊Q8 | — | 6 | 3 | no | — |
| 627 | C22⋊Q8 | — | 6 | 3 | no | — |
| 628 | C22⋊Q8 | — | 12 | 3 | no | — |
| 629 | C22⋊Q8 | — | 12 | 3 | no | — |
| 630 | #121 | — | 6 | 3 | no | — |
| 631 | #121 | — | 6 | 3 | no | — |
| 632 | #121 | — | 6 | 3 | no | — |
| 633 | #121 | — | 6 | 3 | no | — |
| 634 | #121 | — | 12 | 3 | no | — |
| 635 | #121 | — | 12 | 3 | no | — |
| 636 | #121 | — | 12 | 3 | no | — |
| 637 | #121 | — | 12 | 3 | no | — |
| 638 | #121 | — | 12 | 3 | no | — |
| 639 | #121 | — | 12 | 3 | no | — |
| 640 | #120 | — | 6 | 3 | no | — |
| 641 | #120 | — | 6 | 3 | no | — |
| 642 | #120 | — | 6 | 3 | no | — |
| 643 | #120 | — | 6 | 3 | no | — |
| 644 | #120 | — | 12 | 3 | no | — |
| 645 | #120 | — | 12 | 3 | no | — |
| 646 | C4×D4 | — | 12 | 3 | no | — |
| 647 | C4×D4 | — | 12 | 3 | no | — |
| 648 | C4×D4 | — | 12 | 3 | no | — |
| 649 | C4×D4 | — | 12 | 3 | no | — |
| 650 | #117 | — | 3 | 3 | no | — |
| 651 | #117 | — | 3 | 3 | no | — |
| 652 | #117 | — | 6 | 3 | no | — |
| 653 | #117 | — | 6 | 3 | no | — |
| 654 | #117 | — | 6 | 3 | no | — |
| 655 | C2×C4⋊C4 | — | 6 | 3 | no | — |
| 656 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 657 | C2×C42 | — | 6 | 3 | no | — |
| 658 | #104 | — | 6 | 24 | no | — |
| 659 | #104 | — | 6 | 24 | no | — |
| 660 | #103 | — | 6 | 6 | no | — |
| 661 | #103 | — | 6 | 6 | no | — |
| 662 | #102 | — | 6 | 6 | no | — |
| 663 | #102 | — | 6 | 6 | no | — |
| 664 | #102 | — | 6 | 6 | no | — |
| 665 | #102 | — | 6 | 6 | no | — |
| 666 | #102 | — | 6 | 6 | no | — |
| 667 | #102 | — | 6 | 6 | no | — |
| 668 | #101 | — | 6 | 6 | no | — |
| 669 | #101 | — | 6 | 6 | no | — |
| 670 | #100 | — | 6 | 6 | no | — |
| 671 | #100 | — | 6 | 6 | no | — |
| 672 | #99 | — | 6 | 6 | no | — |
| 673 | #99 | — | 6 | 3 | no | — |
| 674 | #99 | — | 6 | 3 | no | — |
| 675 | #99 | — | 6 | 6 | no | — |
| 676 | #99 | — | 6 | 3 | no | — |
| 677 | #99 | — | 6 | 3 | no | — |
| 678 | C22⋊C8 | — | 6 | 6 | no | — |
| 679 | C22⋊C8 | — | 6 | 6 | no | — |
| 680 | C22⋊C8 | — | 6 | 6 | no | — |
| 681 | C22⋊C8 | — | 6 | 6 | no | — |
| 682 | C23×C3 | — | 32 | 1 | no | — |
| 683 | C2×A4 | — | 4 | 3 | no | — |
| 684 | C2×A4 | — | 8 | 3 | no | — |
| 685 | C2×A4 | — | 16 | 6 | no | — |
| 686 | S4 | — | 16 | 3 | no | — |
| 687 | C3×D4 | — | 16 | 2 | no | — |
| 688 | C3×D4 | — | 32 | 1 | no | — |
| 689 | C2×C3×C4 | — | 16 | 1 | no | — |
| 690 | #67 | — | 32 | 1 | no | — |
| 691 | D12 | — | 16 | 1 | no | — |
| 692 | C4×D3 | — | 32 | 1 | no | — |
| 693 | Dic6 | — | 16 | 1 | no | — |
| 694 | SL(2,𝔽3) | — | 8 | 1 | no | — |
| 695 | C3⋊C8 | — | 16 | 2 | no | — |
| 696 | C24 | — | 2 | 6 | no | — |
| 697 | C24 | — | 3 | 1 | no | — |
| 698 | C24 | — | 3 | 3 | no | — |
| 699 | C24 | — | 6 | 3 | no | — |
| 700 | C24 | — | 6 | 3 | no | — |
| 701 | C24 | — | 6 | 2 | no | — |
| 702 | C24 | — | 6 | 6 | no | — |
| 703 | C24 | — | 6 | 6 | no | — |
| 704 | C24 | — | 6 | 6 | no | — |
| 705 | C24 | — | 6 | 3 | no | — |
| 706 | C24 | — | 6 | 6 | no | — |
| 707 | C24 | — | 6 | 1 | no | — |
| 708 | C24 | — | 6 | 6 | no | — |
| 709 | C24 | — | 6 | 12 | no | — |
| 710 | C24 | — | 16 | 6 | no | — |
| 711 | C24 | — | 48 | 2 | no | — |
| 712 | C24 | — | 48 | 6 | no | — |
| 713 | C24 | GL(2,ℤ/4) | 1 | 3 | yes | — |
| 714 | #41 | — | 2 | 1 | no | — |
| 715 | #41 | — | 2 | 1 | no | — |
| 716 | #41 | — | 3 | 24 | no | — |
| 717 | #41 | — | 3 | 24 | no | — |
| 718 | #41 | — | 6 | 1 | no | — |
| 719 | #41 | — | 6 | 3 | no | — |
| 720 | #41 | — | 6 | 6 | no | — |
| 721 | #41 | — | 6 | 3 | no | — |
| 722 | #41 | — | 6 | 3 | no | — |
| 723 | #41 | — | 6 | 6 | no | — |
| 724 | #41 | — | 6 | 3 | no | — |
| 725 | #41 | — | 6 | 6 | no | — |
| 726 | #41 | — | 6 | 6 | no | — |
| 727 | #41 | — | 6 | 6 | no | — |
| 728 | #41 | — | 6 | 6 | no | — |
| 729 | #41 | — | 6 | 3 | no | — |
| 730 | #41 | — | 6 | 12 | no | — |
| 731 | #41 | — | 6 | 12 | no | — |
| 732 | #41 | — | 6 | 12 | no | — |
| 733 | #41 | — | 6 | 6 | no | — |
| 734 | #41 | — | 6 | 6 | no | — |
| 735 | #41 | — | 6 | 12 | no | — |
| 736 | #41 | — | 6 | 6 | no | — |
| 737 | #41 | — | 6 | 6 | no | — |
| 738 | #41 | — | 6 | 12 | no | — |
| 739 | #41 | — | 6 | 12 | no | — |
| 740 | #41 | — | 6 | 12 | no | — |
| 741 | #41 | — | 6 | 3 | no | — |
| 742 | #41 | — | 6 | 3 | no | — |
| 743 | #41 | — | 6 | 6 | no | — |
| 744 | #41 | — | 6 | 3 | no | — |
| 745 | #41 | — | 6 | 12 | no | — |
| 746 | #41 | — | 6 | 12 | no | — |
| 747 | #41 | — | 6 | 12 | no | — |
| 748 | #41 | — | 6 | 2 | no | — |
| 749 | #41 | — | 6 | 2 | no | — |
| 750 | #41 | — | 6 | 6 | no | — |
| 751 | #41 | — | 6 | 6 | no | — |
| 752 | #41 | — | 6 | 24 | no | — |
| 753 | #41 | — | 6 | 24 | no | — |
| 754 | #41 | — | 6 | 1 | no | — |
| 755 | #41 | — | 6 | 4 | no | — |
| 756 | #41 | — | 6 | 12 | no | — |
| 757 | #41 | — | 6 | 12 | no | — |
| 758 | #41 | — | 6 | 12 | no | — |
| 759 | #41 | — | 6 | 24 | no | — |
| 760 | #41 | — | 6 | 24 | no | — |
| 761 | #41 | — | 6 | 12 | no | — |
| 762 | #41 | — | 6 | 3 | no | — |
| 763 | #41 | — | 6 | 3 | no | — |
| 764 | #41 | — | 6 | 6 | no | — |
| 765 | #41 | — | 6 | 12 | no | — |
| 766 | #41 | — | 6 | 12 | no | — |
| 767 | #41 | — | 6 | 12 | no | — |
| 768 | #41 | — | 6 | 12 | no | — |
| 769 | #41 | — | 6 | 12 | no | — |
| 770 | #41 | — | 6 | 12 | no | — |
| 771 | #41 | — | 6 | 12 | no | — |
| 772 | #41 | — | 6 | 12 | no | — |
| 773 | #41 | — | 6 | 24 | no | — |
| 774 | #41 | — | 6 | 24 | no | — |
| 775 | #41 | — | 6 | 24 | no | — |
| 776 | #41 | — | 6 | 24 | no | — |
| 777 | #41 | — | 6 | 24 | no | — |
| 778 | #41 | — | 6 | 8 | no | — |
| 779 | #41 | — | 6 | 12 | no | — |
| 780 | #41 | — | 6 | 12 | no | — |
| 781 | #41 | — | 6 | 12 | no | — |
| 782 | #41 | — | 6 | 12 | no | — |
| 783 | #41 | — | 6 | 24 | no | — |
| 784 | #41 | — | 6 | 12 | no | — |
| 785 | #41 | — | 6 | 6 | no | — |
| 786 | #41 | — | 6 | 6 | no | — |
| 787 | #41 | — | 6 | 2 | no | — |
| 788 | #41 | — | 6 | 2 | no | — |
| 789 | #41 | — | 6 | 4 | no | — |
| 790 | #41 | — | 6 | 4 | no | — |
| 791 | #41 | — | 6 | 1 | no | — |
| 792 | #41 | — | 6 | 1 | no | — |
| 793 | #41 | — | 12 | 6 | no | — |
| 794 | #41 | — | 12 | 3 | no | — |
| 795 | #41 | — | 12 | 3 | no | — |
| 796 | #41 | — | 12 | 3 | no | — |
| 797 | #41 | — | 12 | 1 | no | — |
| 798 | C2×Q8 | — | 2 | 1 | no | — |
| 799 | C2×Q8 | — | 2 | 4 | no | — |
| 800 | C2×Q8 | — | 3 | 3 | no | — |
| 801 | C2×Q8 | — | 3 | 3 | no | — |
| 802 | C2×Q8 | — | 3 | 3 | no | — |
| 803 | C2×Q8 | — | 3 | 3 | no | — |
| 804 | C2×Q8 | — | 3 | 6 | no | — |
| 805 | C2×Q8 | — | 3 | 6 | no | — |
| 806 | C2×Q8 | — | 3 | 6 | no | — |
| 807 | C2×Q8 | — | 6 | 3 | no | — |
| 808 | C2×Q8 | — | 6 | 6 | no | — |
| 809 | C2×Q8 | — | 6 | 3 | no | — |
| 810 | C2×Q8 | — | 6 | 3 | no | — |
| 811 | C2×Q8 | — | 6 | 3 | no | — |
| 812 | C2×Q8 | — | 6 | 3 | no | — |
| 813 | C2×Q8 | — | 6 | 1 | no | — |
| 814 | C2×Q8 | — | 6 | 1 | no | — |
| 815 | C2×Q8 | — | 6 | 12 | no | — |
| 816 | C2×Q8 | — | 6 | 24 | no | — |
| 817 | C2×Q8 | — | 6 | 2 | no | — |
| 818 | C2×Q8 | — | 6 | 2 | no | — |
| 819 | C2×Q8 | — | 6 | 3 | no | — |
| 820 | C2×Q8 | — | 6 | 3 | no | — |
| 821 | C2×Q8 | — | 6 | 12 | no | — |
| 822 | C2×Q8 | — | 6 | 2 | no | — |
| 823 | C2×Q8 | — | 6 | 2 | no | — |
| 824 | C2×Q8 | — | 6 | 1 | no | — |
| 825 | C2×Q8 | — | 6 | 2 | no | — |
| 826 | C2×Q8 | — | 6 | 4 | no | — |
| 827 | C2×D4 | — | 3 | 6 | no | — |
| 828 | C2×D4 | — | 3 | 6 | no | — |
| 829 | C2×D4 | — | 3 | 6 | no | — |
| 830 | C2×D4 | — | 3 | 6 | no | — |
| 831 | C2×D4 | — | 3 | 6 | no | — |
| 832 | C2×D4 | — | 3 | 6 | no | — |
| 833 | C2×D4 | — | 3 | 6 | no | — |
| 834 | C2×D4 | — | 3 | 3 | no | — |
| 835 | C2×D4 | — | 3 | 3 | no | — |
| 836 | C2×D4 | — | 3 | 3 | no | — |
| 837 | C2×D4 | — | 3 | 3 | no | — |
| 838 | C2×D4 | — | 3 | 3 | no | — |
| 839 | C2×D4 | — | 3 | 3 | no | — |
| 840 | C2×D4 | — | 3 | 3 | no | — |
| 841 | C2×D4 | — | 3 | 3 | no | — |
| 842 | C2×D4 | — | 3 | 3 | no | — |
| 843 | C2×D4 | — | 3 | 3 | no | — |
| 844 | C2×D4 | — | 3 | 3 | no | — |
| 845 | C2×D4 | — | 3 | 3 | no | — |
| 846 | C2×D4 | — | 3 | 3 | no | — |
| 847 | C2×D4 | — | 6 | 3 | no | — |
| 848 | C2×D4 | — | 6 | 3 | no | — |
| 849 | C2×D4 | — | 6 | 3 | no | — |
| 850 | C2×D4 | — | 6 | 6 | no | — |
| 851 | C2×D4 | — | 6 | 3 | no | — |
| 852 | C2×D4 | — | 6 | 6 | no | — |
| 853 | C2×D4 | — | 6 | 6 | no | — |
| 854 | C2×D4 | — | 6 | 3 | no | — |
| 855 | C2×D4 | — | 6 | 6 | no | — |
| 856 | C2×D4 | — | 6 | 6 | no | — |
| 857 | C2×D4 | — | 6 | 12 | no | — |
| 858 | C2×D4 | — | 6 | 3 | no | — |
| 859 | C2×D4 | — | 6 | 3 | no | — |
| 860 | C2×D4 | — | 6 | 6 | no | — |
| 861 | C2×D4 | — | 6 | 6 | no | — |
| 862 | C2×D4 | — | 6 | 3 | no | — |
| 863 | C2×D4 | — | 6 | 6 | no | — |
| 864 | C2×D4 | — | 6 | 3 | no | — |
| 865 | C2×D4 | — | 6 | 3 | no | — |
| 866 | C2×D4 | — | 6 | 6 | no | — |
| 867 | C2×D4 | — | 6 | 6 | no | — |
| 868 | C2×D4 | — | 6 | 12 | no | — |
| 869 | C2×D4 | — | 6 | 12 | no | — |
| 870 | C2×D4 | — | 6 | 12 | no | — |
| 871 | C2×D4 | — | 6 | 24 | no | — |
| 872 | C2×D4 | — | 6 | 24 | no | — |
| 873 | C2×D4 | — | 6 | 2 | no | — |
| 874 | C2×D4 | — | 6 | 3 | no | — |
| 875 | C2×D4 | — | 6 | 6 | no | — |
| 876 | C2×D4 | — | 6 | 3 | no | — |
| 877 | C2×D4 | — | 6 | 3 | no | — |
| 878 | C2×D4 | — | 6 | 6 | no | — |
| 879 | C2×D4 | — | 6 | 12 | no | — |
| 880 | C2×D4 | — | 6 | 6 | no | — |
| 881 | C2×D4 | — | 6 | 6 | no | — |
| 882 | C2×D4 | — | 6 | 6 | no | — |
| 883 | C2×D4 | — | 6 | 12 | no | — |
| 884 | C2×D4 | — | 6 | 6 | no | — |
| 885 | C2×D4 | — | 6 | 6 | no | — |
| 886 | C2×D4 | — | 6 | 6 | no | — |
| 887 | C2×D4 | — | 6 | 6 | no | — |
| 888 | C2×D4 | — | 6 | 12 | no | — |
| 889 | C2×D4 | — | 6 | 12 | no | — |
| 890 | C2×D4 | — | 6 | 12 | no | — |
| 891 | C2×D4 | — | 6 | 1 | no | — |
| 892 | C2×D4 | — | 6 | 6 | no | — |
| 893 | C2×D4 | — | 6 | 6 | no | — |
| 894 | C2×D4 | — | 6 | 3 | no | — |
| 895 | C2×D4 | — | 6 | 3 | no | — |
| 896 | C2×D4 | — | 6 | 12 | no | — |
| 897 | C2×D4 | — | 6 | 12 | no | — |
| 898 | C2×D4 | — | 6 | 24 | no | — |
| 899 | C2×D4 | — | 6 | 24 | no | — |
| 900 | C2×D4 | — | 6 | 24 | no | — |
| 901 | C2×D4 | — | 6 | 24 | no | — |
| 902 | C2×D4 | — | 6 | 24 | no | — |
| 903 | C2×D4 | — | 6 | 24 | no | — |
| 904 | C2×D4 | — | 6 | 24 | no | — |
| 905 | C2×D4 | — | 6 | 24 | no | — |
| 906 | C2×D4 | — | 6 | 24 | no | — |
| 907 | C2×D4 | — | 6 | 24 | no | — |
| 908 | C2×D4 | — | 6 | 12 | no | — |
| 909 | C2×D4 | — | 6 | 12 | no | — |
| 910 | C2×D4 | — | 6 | 24 | no | — |
| 911 | C2×D4 | — | 6 | 12 | no | — |
| 912 | C2×D4 | — | 6 | 12 | no | — |
| 913 | C2×D4 | — | 6 | 24 | no | — |
| 914 | C2×D4 | — | 6 | 24 | no | — |
| 915 | C2×D4 | — | 6 | 24 | no | — |
| 916 | C2×D4 | — | 6 | 24 | no | — |
| 917 | C2×D4 | — | 6 | 12 | no | — |
| 918 | C2×D4 | — | 6 | 12 | no | — |
| 919 | C2×D4 | — | 6 | 12 | no | — |
| 920 | C2×D4 | — | 6 | 12 | no | — |
| 921 | C2×D4 | — | 6 | 24 | no | — |
| 922 | C2×D4 | — | 6 | 6 | no | — |
| 923 | C2×D4 | — | 6 | 6 | no | — |
| 924 | C2×D4 | — | 6 | 6 | no | — |
| 925 | C2×D4 | — | 12 | 3 | no | — |
| 926 | C2×D4 | — | 12 | 3 | no | — |
| 927 | C2×D4 | — | 12 | 3 | no | — |
| 928 | C2×D4 | — | 12 | 3 | no | — |
| 929 | C2×D4 | — | 12 | 3 | no | — |
| 930 | C2×D4 | — | 12 | 3 | no | — |
| 931 | C2×D4 | #1020 | 1 | 1 | yes | characteristic |
| 932 | C22×C4 | — | 3 | 3 | no | — |
| 933 | C22×C4 | — | 3 | 3 | no | — |
| 934 | C22×C4 | — | 3 | 1 | no | — |
| 935 | C22×C4 | — | 3 | 1 | no | — |
| 936 | C22×C4 | — | 3 | 3 | no | — |
| 937 | C22×C4 | — | 3 | 3 | no | — |
| 938 | C22×C4 | — | 3 | 3 | no | — |
| 939 | C22×C4 | — | 3 | 3 | no | — |
| 940 | C22×C4 | — | 3 | 3 | no | — |
| 941 | C22×C4 | — | 3 | 3 | no | — |
| 942 | C22×C4 | — | 3 | 3 | no | — |
| 943 | C22×C4 | — | 3 | 3 | no | — |
| 944 | C22×C4 | — | 3 | 3 | no | — |
| 945 | C22×C4 | — | 3 | 3 | no | — |
| 946 | C22×C4 | — | 6 | 3 | no | — |
| 947 | C22×C4 | — | 6 | 3 | no | — |
| 948 | C22×C4 | — | 6 | 3 | no | — |
| 949 | C22×C4 | — | 6 | 12 | no | — |
| 950 | C22×C4 | — | 6 | 6 | no | — |
| 951 | C22×C4 | — | 6 | 6 | no | — |
| 952 | C22×C4 | — | 6 | 12 | no | — |
| 953 | C22×C4 | — | 6 | 6 | no | — |
| 954 | C22×C4 | — | 6 | 6 | no | — |
| 955 | C22×C4 | — | 6 | 6 | no | — |
| 956 | C22×C4 | — | 6 | 6 | no | — |
| 957 | C22×C4 | — | 6 | 2 | no | — |
| 958 | C22×C4 | — | 6 | 3 | no | — |
| 959 | C22×C4 | — | 6 | 6 | no | — |
| 960 | C22×C4 | — | 6 | 2 | no | — |
| 961 | C22×C4 | — | 6 | 12 | no | — |
| 962 | C22×C4 | — | 6 | 12 | no | — |
| 963 | C22×C4 | — | 6 | 12 | no | — |
| 964 | C22×C4 | — | 6 | 12 | no | — |
| 965 | C22×C4 | — | 6 | 12 | no | — |
| 966 | C22×C4 | — | 6 | 12 | no | — |
| 967 | C22×C4 | — | 6 | 1 | no | — |
| 968 | C22×C4 | — | 6 | 1 | no | — |
| 969 | C22×C4 | — | 12 | 3 | no | — |
| 970 | C22×C4 | — | 12 | 3 | no | — |
| 971 | C22×C4 | — | 12 | 3 | no | — |
| 972 | C22×C4 | GL(2,ℤ/4) | 1 | 3 | yes | — |
| 973 | C22×C4 | C22×S4 | 1 | 3 | yes | — |
| 974 | Q16 | — | 12 | 12 | no | — |
| 975 | SD16 | — | 12 | 6 | no | — |
| 976 | SD16 | — | 12 | 12 | no | — |
| 977 | SD16 | — | 12 | 12 | no | — |
| 978 | SD16 | — | 12 | 2 | no | — |
| 979 | D8 | — | 12 | 6 | no | — |
| 980 | D8 | — | 12 | 12 | no | — |
| 981 | D8 | — | 12 | 2 | no | — |
| 982 | M16 | — | 6 | 12 | no | — |
| 983 | M16 | — | 12 | 3 | no | — |
| 984 | M16 | — | 12 | 3 | no | — |
| 985 | M16 | — | 12 | 3 | no | — |
| 986 | M16 | — | 12 | 1 | no | — |
| 987 | C2×C8 | — | 6 | 6 | no | — |
| 988 | C2×C8 | — | 6 | 6 | no | — |
| 989 | C2×C8 | — | 12 | 6 | no | — |
| 990 | C4⋊C4 | — | 6 | 3 | no | — |
| 991 | C4⋊C4 | — | 6 | 3 | no | — |
| 992 | C4⋊C4 | — | 12 | 3 | no | — |
| 993 | C4⋊C4 | — | 12 | 3 | no | — |
| 994 | C4⋊C4 | — | 12 | 3 | no | — |
| 995 | C4⋊C4 | — | 12 | 3 | no | — |
| 996 | C4⋊C4 | — | 12 | 3 | no | — |
| 997 | C22⋊C4 | — | 6 | 3 | no | — |
| 998 | C22⋊C4 | — | 6 | 3 | no | — |
| 999 | C22⋊C4 | — | 12 | 3 | no | — |
| 1000 | C22⋊C4 | — | 12 | 3 | no | — |
| 1001 | C22⋊C4 | — | 12 | 3 | no | — |
| 1002 | C22⋊C4 | — | 12 | 3 | no | — |
| 1003 | C22⋊C4 | — | 12 | 3 | no | — |
| 1004 | C22⋊C4 | — | 12 | 3 | no | — |
| 1005 | C22⋊C4 | — | 12 | 3 | no | — |
| 1006 | C22⋊C4 | — | 12 | 3 | no | — |
| 1007 | C22⋊C4 | — | 12 | 3 | no | — |
| 1008 | C42 | — | 6 | 3 | no | — |
| 1009 | C42 | — | 6 | 3 | no | — |
| 1010 | C42 | — | 12 | 3 | no | — |
| 1011 | C22×C3 | — | 16 | 1 | no | — |
| 1012 | C22×C3 | — | 32 | 2 | no | — |
| 1013 | C22×C3 | — | 64 | 2 | no | — |
| 1014 | C2×D3 | — | 32 | 1 | no | — |
| 1015 | A4 | — | 4 | 3 | no | — |
| 1016 | C3×C4 | — | 16 | 1 | no | — |
| 1017 | C3×C4 | — | 16 | 1 | no | — |
| 1018 | Dic3 | — | 32 | 1 | no | — |
| 1019 | C23 | — | 2 | 1 | no | — |
| 1020 | C23 | — | 3 | 1 | no | — |
| 1021 | C23 | — | 3 | 3 | no | — |
| 1022 | C23 | — | 3 | 3 | no | — |
| 1023 | C23 | — | 3 | 3 | no | — |
| 1024 | C23 | — | 3 | 3 | no | — |
| 1025 | C23 | — | 3 | 3 | no | — |
| 1026 | C23 | — | 6 | 6 | no | — |
| 1027 | C23 | — | 6 | 6 | no | — |
| 1028 | C23 | — | 6 | 6 | no | — |
| 1029 | C23 | — | 6 | 6 | no | — |
| 1030 | C23 | — | 6 | 6 | no | — |
| 1031 | C23 | — | 6 | 3 | no | — |
| 1032 | C23 | — | 6 | 6 | no | — |
| 1033 | C23 | — | 6 | 12 | no | — |
| 1034 | C23 | — | 6 | 12 | no | — |
| 1035 | C23 | — | 6 | 3 | no | — |
| 1036 | C23 | — | 6 | 1 | no | — |
| 1037 | C23 | — | 8 | 3 | no | — |
| 1038 | C23 | — | 12 | 3 | no | — |
| 1039 | C23 | — | 16 | 6 | no | — |
| 1040 | C23 | — | 24 | 6 | no | — |
| 1041 | C23 | — | 24 | 1 | no | — |
| 1042 | C23 | — | 24 | 3 | no | — |
| 1043 | C23 | — | 24 | 6 | no | — |
| 1044 | C23 | — | 24 | 12 | no | — |
| 1045 | C23 | — | 24 | 6 | no | — |
| 1046 | C23 | — | 48 | 6 | no | — |
| 1047 | C23 | — | 48 | 1 | no | — |
| 1048 | C23 | — | 48 | 6 | no | — |
| 1049 | C23 | — | 48 | 2 | no | — |
| 1050 | C23 | — | 48 | 6 | no | — |
| 1051 | C23 | — | 48 | 6 | no | — |
| 1052 | C23 | — | 48 | 12 | no | — |
| 1053 | C23 | C2×GL(2,ℤ/4) | 1 | 3 | yes | — |
| 1054 | Q8 | — | 2 | 1 | no | — |
| 1055 | Q8 | — | 3 | 12 | no | — |
| 1056 | Q8 | — | 6 | 3 | no | — |
| 1057 | Q8 | — | 6 | 6 | no | — |
| 1058 | Q8 | — | 6 | 3 | no | — |
| 1059 | Q8 | — | 6 | 6 | no | — |
| 1060 | Q8 | — | 6 | 1 | no | — |
| 1061 | Q8 | — | 6 | 4 | no | — |
| 1062 | Q8 | — | 6 | 4 | no | — |
| 1063 | Q8 | — | 6 | 2 | no | — |
| 1064 | Q8 | — | 6 | 2 | no | — |
| 1065 | Q8 | — | 12 | 3 | no | — |
| 1066 | Q8 | — | 12 | 1 | no | — |
| 1067 | D4 | — | 2 | 1 | no | — |
| 1068 | D4 | — | 3 | 12 | no | — |
| 1069 | D4 | — | 3 | 6 | no | — |
| 1070 | D4 | — | 6 | 6 | no | — |
| 1071 | D4 | — | 6 | 6 | no | — |
| 1072 | D4 | — | 6 | 6 | no | — |
| 1073 | D4 | — | 6 | 6 | no | — |
| 1074 | D4 | — | 6 | 6 | no | — |
| 1075 | D4 | — | 6 | 6 | no | — |
| 1076 | D4 | — | 6 | 6 | no | — |
| 1077 | D4 | — | 6 | 6 | no | — |
| 1078 | D4 | — | 6 | 6 | no | — |
| 1079 | D4 | — | 6 | 4 | no | — |
| 1080 | D4 | — | 6 | 4 | no | — |
| 1081 | D4 | — | 6 | 3 | no | — |
| 1082 | D4 | — | 6 | 3 | no | — |
| 1083 | D4 | — | 6 | 6 | no | — |
| 1084 | D4 | — | 6 | 24 | no | — |
| 1085 | D4 | — | 6 | 24 | no | — |
| 1086 | D4 | — | 6 | 1 | no | — |
| 1087 | D4 | — | 6 | 1 | no | — |
| 1088 | D4 | — | 6 | 12 | no | — |
| 1089 | D4 | — | 6 | 12 | no | — |
| 1090 | D4 | — | 6 | 2 | no | — |
| 1091 | D4 | — | 6 | 12 | no | — |
| 1092 | D4 | — | 6 | 12 | no | — |
| 1093 | D4 | — | 6 | 3 | no | — |
| 1094 | D4 | — | 12 | 3 | no | — |
| 1095 | D4 | — | 12 | 1 | no | — |
| 1096 | D4 | — | 24 | 3 | no | — |
| 1097 | D4 | — | 24 | 1 | no | — |
| 1098 | D4 | — | 48 | 3 | no | — |
| 1099 | D4 | — | 48 | 3 | no | — |
| 1100 | D4 | — | 48 | 3 | no | — |
| 1101 | D4 | — | 48 | 3 | no | — |
| 1102 | D4 | C2×#1020 | 1 | 2 | yes | — |
| 1103 | C2×C4 | — | 3 | 3 | no | — |
| 1104 | C2×C4 | — | 3 | 3 | no | — |
| 1105 | C2×C4 | — | 3 | 6 | no | — |
| 1106 | C2×C4 | — | 3 | 3 | no | — |
| 1107 | C2×C4 | — | 3 | 3 | no | — |
| 1108 | C2×C4 | — | 3 | 3 | no | — |
| 1109 | C2×C4 | — | 3 | 3 | no | — |
| 1110 | C2×C4 | — | 3 | 3 | no | — |
| 1111 | C2×C4 | — | 3 | 3 | no | — |
| 1112 | C2×C4 | — | 3 | 3 | no | — |
| 1113 | C2×C4 | — | 3 | 3 | no | — |
| 1114 | C2×C4 | — | 3 | 3 | no | — |
| 1115 | C2×C4 | — | 6 | 3 | no | — |
| 1116 | C2×C4 | — | 6 | 3 | no | — |
| 1117 | C2×C4 | — | 6 | 3 | no | — |
| 1118 | C2×C4 | — | 6 | 3 | no | — |
| 1119 | C2×C4 | — | 6 | 3 | no | — |
| 1120 | C2×C4 | — | 6 | 24 | no | — |
| 1121 | C2×C4 | — | 6 | 24 | no | — |
| 1122 | C2×C4 | — | 6 | 4 | no | — |
| 1123 | C2×C4 | — | 6 | 4 | no | — |
| 1124 | C2×C4 | — | 6 | 3 | no | — |
| 1125 | C2×C4 | — | 6 | 6 | no | — |
| 1126 | C2×C4 | — | 6 | 6 | no | — |
| 1127 | C2×C4 | — | 6 | 12 | no | — |
| 1128 | C2×C4 | — | 6 | 12 | no | — |
| 1129 | C2×C4 | — | 6 | 4 | no | — |
| 1130 | C2×C4 | — | 6 | 4 | no | — |
| 1131 | C2×C4 | — | 6 | 1 | no | — |
| 1132 | C2×C4 | — | 6 | 2 | no | — |
| 1133 | C2×C4 | — | 6 | 1 | no | — |
| 1134 | C2×C4 | — | 6 | 1 | no | — |
| 1135 | C2×C4 | — | 6 | 1 | no | — |
| 1136 | C2×C4 | — | 6 | 1 | no | — |
| 1137 | C2×C4 | — | 12 | 3 | no | — |
| 1138 | C2×C4 | — | 12 | 3 | no | — |
| 1139 | C2×C4 | — | 12 | 3 | no | — |
| 1140 | C2×C4 | — | 24 | 3 | no | — |
| 1141 | C2×C4 | — | 24 | 1 | no | — |
| 1142 | C2×C4 | — | 48 | 3 | no | — |
| 1143 | C2×C4 | C2×#1020 | 1 | 1 | yes | characteristic |
| 1144 | C8 | — | 12 | 6 | no | — |
| 1145 | C8 | — | 12 | 2 | no | — |
| 1146 | C2×C3 | — | 16 | 1 | no | — |
| 1147 | C2×C3 | — | 32 | 1 | no | — |
| 1148 | C2×C3 | — | 64 | 2 | no | — |
| 1149 | D3 | — | 64 | 1 | no | — |
| 1150 | C22 | — | 2 | 2 | no | — |
| 1151 | C22 | — | 3 | 3 | no | — |
| 1152 | C22 | — | 3 | 3 | no | — |
| 1153 | C22 | — | 4 | 2 | no | — |
| 1154 | C22 | — | 4 | 3 | no | — |
| 1155 | C22 | — | 6 | 6 | no | — |
| 1156 | C22 | — | 6 | 1 | no | — |
| 1157 | C22 | — | 6 | 1 | no | — |
| 1158 | C22 | — | 12 | 3 | no | — |
| 1159 | C22 | — | 12 | 6 | no | — |
| 1160 | C22 | — | 12 | 2 | no | — |
| 1161 | C22 | — | 12 | 3 | no | — |
| 1162 | C22 | — | 12 | 3 | no | — |
| 1163 | C22 | — | 12 | 1 | no | — |
| 1164 | C22 | — | 12 | 3 | no | — |
| 1165 | C22 | — | 12 | 3 | no | — |
| 1166 | C22 | — | 24 | 6 | no | — |
| 1167 | C22 | — | 24 | 6 | no | — |
| 1168 | C22 | — | 24 | 6 | no | — |
| 1169 | C22 | — | 24 | 6 | no | — |
| 1170 | C22 | — | 24 | 6 | no | — |
| 1171 | C22 | — | 24 | 6 | no | — |
| 1172 | C22 | — | 24 | 3 | no | — |
| 1173 | C22 | — | 24 | 3 | no | — |
| 1174 | C22 | — | 24 | 3 | no | — |
| 1175 | C22 | — | 24 | 12 | no | — |
| 1176 | C22 | — | 24 | 12 | no | — |
| 1177 | C22 | — | 24 | 1 | no | — |
| 1178 | C22 | #87524 | 1 | 1 | yes | characteristic |
| 1179 | C4 | — | 3 | 3 | no | — |
| 1180 | C4 | — | 3 | 3 | no | — |
| 1181 | C4 | — | 6 | 1 | no | — |
| 1182 | C4 | — | 6 | 1 | no | — |
| 1183 | C4 | — | 6 | 4 | no | — |
| 1184 | C4 | — | 24 | 3 | no | — |
| 1185 | C4 | — | 24 | 3 | no | — |
| 1186 | C4 | — | 24 | 1 | no | — |
| 1187 | C4 | #87524 | 1 | 1 | yes | characteristic |
| 1188 | C4 | C22×#1020 | 1 | 1 | yes | characteristic |
| 1189 | C3 | — | 16 | 1 | no | Sylow |
| 1190 | C2 | — | 2 | 1 | no | — |
| 1191 | C2 | — | 4 | 2 | no | — |
| 1192 | C2 | — | 6 | 3 | no | — |
| 1193 | C2 | — | 6 | 3 | no | — |
| 1194 | C2 | — | 12 | 1 | no | — |
| 1195 | C2 | — | 12 | 1 | no | — |
| 1196 | C2 | — | 12 | 6 | no | — |
| 1197 | C2 | — | 48 | 1 | no | — |
| 1198 | C2 | C2×#87524 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | C2×#87524 |
| commutator, cosocle | #5950 | C23 |
| Frattini | C4 | C22×#1020 |
| Fitting | C2×H(7,𝔽2) | D3 |
| hypercenter | C2×D4 | #1020 |
| hypocenter | #997 | C2×D4 |
| LCS | G ▷ #5950 ▷ #997 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ C2×D4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11715838 | C2 | semidirect |
| 2. #11715713 | C2 | semidirect |
| 3. #11715709 | C2 | semidirect |
| 4. #11715661 | C2 | semidirect |
| 5. C2×#87547 | C2 | semidirect |
| 11. #87521 | C22 | semidirect |
| 13. #87517 | C22 | semidirect |
| 15. #85566 | C22 | semidirect |
| 17. C2×H(7,𝔽2) | D3 | semidirect |
| 205. C23×D4 | S4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11715838 | 2 |
| #11715713 | 2 |
| #11715709 | 2 |
| #11715661 | 2 |
| C2×#87547 | 2 |
| #6628883 | 3 |
| #85489 | 4 |