Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
2809 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 2809 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 | #11715827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#87522 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11715739 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11715738 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11710873 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #6629051 | — | 3 | 1 | no | maximal, Sylow |
| 7 | C2×#5950 | C22 | 1 | 1 | yes | characteristic |
| 8 | #87522 | — | 2 | 1 | no | — |
| 9 | #87522 | C22 | 1 | 2 | yes | — |
| 10 | #87522 | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | #87520 | — | 2 | 1 | no | — |
| 12 | #87518 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | #87516 | — | 2 | 1 | no | — |
| 14 | C2×#5935 | — | 2 | 1 | no | — |
| 15 | #85666 | C22 | 1 | 2 | yes | complemented |
| 16 | #85454 | — | 4 | 2 | no | maximal |
| 17 | #85443 | — | 4 | 1 | no | maximal |
| 18 | #63076 | D3 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#3068 | — | 3 | 2 | no | — |
| 20 | #60454 | — | 3 | 1 | no | — |
| 21 | #60387 | — | 3 | 1 | no | — |
| 22 | C2×#3021 | — | 3 | 1 | no | — |
| 23 | #32951 | — | 3 | 2 | no | — |
| 24 | #32951 | — | 3 | 4 | no | — |
| 25 | #32951 | — | 3 | 2 | no | — |
| 26 | #32950 | — | 3 | 2 | no | — |
| 27 | #32950 | — | 3 | 4 | no | — |
| 28 | #32950 | — | 3 | 2 | no | — |
| 29 | #21017 | — | 3 | 1 | no | — |
| 30 | C2×#1914 | — | 3 | 1 | no | — |
| 31 | #20995 | — | 3 | 2 | no | — |
| 32 | C2×#1903 | — | 3 | 2 | no | — |
| 33 | #20675 | — | 3 | 2 | no | — |
| 34 | #20673 | — | 3 | 1 | no | — |
| 35 | #5950 | D4 | 1 | 1 | yes | characteristic |
| 36 | #5950 | C23 | 1 | 1 | yes | characteristic |
| 37 | C2×#997 | D4 | 1 | 1 | yes | characteristic |
| 38 | #5935 | — | 2 | 2 | no | — |
| 39 | #5935 | — | 2 | 1 | no | — |
| 40 | #5933 | — | 2 | 1 | no | — |
| 41 | #5923 | — | 4 | 2 | no | — |
| 42 | C2×#986 | — | 4 | 2 | no | — |
| 43 | #5912 | — | 4 | 1 | no | — |
| 44 | C2×C4⋊S4 | — | 4 | 1 | no | — |
| 45 | #568⋊C3 | — | 4 | 2 | no | — |
| 46 | A4×M16 | — | 4 | 1 | no | — |
| 47 | A4×M16 | — | 8 | 1 | no | — |
| 48 | #5407 | — | 4 | 4 | no | — |
| 49 | #5406 | — | 4 | 4 | no | — |
| 50 | #5402 | — | 4 | 2 | no | — |
| 51 | #5401 | — | 4 | 2 | no | — |
| 52 | C2×#585 | C2×D3 | 1 | 1 | yes | characteristic |
| 53 | C2×#575 | — | 3 | 2 | no | — |
| 54 | C22×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 55 | C22×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 56 | #3573 | — | 3 | 2 | no | — |
| 57 | #3573 | — | 3 | 4 | no | — |
| 58 | #3573 | — | 6 | 2 | no | — |
| 59 | #3573 | C2×D3 | 1 | 2 | yes | complemented |
| 60 | C2×#568 | — | 3 | 1 | no | — |
| 61 | C2×#568 | — | 3 | 1 | no | — |
| 62 | C2×#568 | — | 3 | 2 | no | — |
| 63 | C2×#568 | — | 3 | 2 | no | — |
| 64 | C2×#568 | — | 6 | 1 | no | — |
| 65 | C2×#568 | — | 6 | 1 | no | — |
| 66 | #3449 | — | 3 | 1 | no | — |
| 67 | C2×#535 | — | 3 | 1 | no | — |
| 68 | #3068 | — | 6 | 2 | no | — |
| 69 | #3068 | — | 6 | 2 | no | — |
| 70 | #3068 | — | 6 | 4 | no | — |
| 71 | #3068 | — | 6 | 2 | no | — |
| 72 | #3068 | — | 6 | 4 | no | — |
| 73 | #3068 | — | 6 | 2 | no | — |
| 74 | C2×#472 | — | 3 | 4 | no | — |
| 75 | C2×#472 | — | 3 | 4 | no | — |
| 76 | C2×#471 | — | 3 | 4 | no | — |
| 77 | C2×#471 | — | 3 | 4 | no | — |
| 78 | #3062 | — | 6 | 2 | no | — |
| 79 | #3062 | — | 6 | 2 | no | — |
| 80 | #3058 | — | 3 | 2 | no | — |
| 81 | #3058 | — | 3 | 2 | no | — |
| 82 | #3057 | — | 3 | 2 | no | — |
| 83 | #3057 | — | 3 | 2 | no | — |
| 84 | #3055 | — | 6 | 1 | no | — |
| 85 | #3055 | — | 6 | 1 | no | — |
| 86 | #3055 | — | 6 | 1 | no | — |
| 87 | #3055 | — | 6 | 1 | no | — |
| 88 | #3022 | — | 3 | 2 | no | — |
| 89 | #3022 | — | 3 | 1 | no | — |
| 90 | #3022 | — | 3 | 1 | no | — |
| 91 | #3021 | — | 3 | 4 | no | — |
| 92 | #3021 | — | 3 | 2 | no | — |
| 93 | #3021 | — | 3 | 2 | no | — |
| 94 | #3021 | — | 3 | 1 | no | — |
| 95 | #3021 | — | 3 | 2 | no | — |
| 96 | #3021 | — | 3 | 1 | no | — |
| 97 | #3021 | — | 6 | 2 | no | — |
| 98 | #3021 | — | 6 | 1 | no | — |
| 99 | #3021 | — | 6 | 1 | no | — |
| 100 | #3020 | — | 6 | 2 | no | — |
| 101 | #3019 | — | 6 | 1 | no | — |
| 102 | #3019 | — | 6 | 1 | no | — |
| 103 | #3018 | — | 6 | 2 | no | — |
| 104 | #3018 | — | 6 | 1 | no | — |
| 105 | #3018 | — | 6 | 1 | no | — |
| 106 | C2×#454 | — | 6 | 2 | no | — |
| 107 | C2×#453 | — | 6 | 1 | no | — |
| 108 | C2×#453 | — | 6 | 1 | no | — |
| 109 | C2×#430 | — | 3 | 2 | no | — |
| 110 | #2911 | — | 3 | 1 | no | — |
| 111 | C2×#421 | — | 3 | 2 | no | — |
| 112 | C2×#421 | — | 3 | 2 | no | — |
| 113 | #2896 | — | 3 | 1 | no | — |
| 114 | C2×#418 | — | 3 | 1 | no | — |
| 115 | C2×#413 | — | 3 | 2 | no | — |
| 116 | C2×#413 | — | 3 | 1 | no | — |
| 117 | C2×#413 | — | 3 | 1 | no | — |
| 118 | C22×#100 | — | 3 | 2 | no | — |
| 119 | #1915 | — | 3 | 2 | no | — |
| 120 | #1915 | — | 3 | 2 | no | — |
| 121 | #1914 | — | 3 | 2 | no | — |
| 122 | #1914 | — | 3 | 2 | no | — |
| 123 | #1914 | — | 3 | 4 | no | — |
| 124 | #1914 | — | 3 | 2 | no | — |
| 125 | #1914 | — | 3 | 2 | no | — |
| 126 | #1903 | — | 3 | 4 | no | — |
| 127 | #1903 | — | 3 | 4 | no | — |
| 128 | #1903 | — | 3 | 4 | no | — |
| 129 | #1903 | — | 3 | 4 | no | — |
| 130 | #1903 | — | 3 | 4 | no | — |
| 131 | #1903 | — | 3 | 4 | no | — |
| 132 | #1902 | — | 3 | 4 | no | — |
| 133 | #1902 | — | 3 | 4 | no | — |
| 134 | #1814 | — | 3 | 4 | no | — |
| 135 | #1814 | — | 3 | 4 | no | — |
| 136 | #1814 | — | 3 | 4 | no | — |
| 137 | #1814 | — | 3 | 4 | no | — |
| 138 | #1813 | — | 3 | 4 | no | — |
| 139 | #1813 | — | 3 | 2 | no | — |
| 140 | #1813 | — | 3 | 2 | no | — |
| 141 | C2×#344 | — | 3 | 2 | no | — |
| 142 | C2×#344 | — | 3 | 2 | no | — |
| 143 | C2×#338 | — | 3 | 2 | no | — |
| 144 | C22×S4 | — | 8 | 1 | no | — |
| 145 | #997 | C2×D4 | 1 | 1 | yes | characteristic |
| 146 | C2×#41⋊C3 | — | 4 | 2 | no | — |
| 147 | C2×C4×A4 | — | 4 | 1 | no | — |
| 148 | C2×C4×A4 | — | 8 | 1 | no | — |
| 149 | GL(2,ℤ/4) | — | 8 | 1 | no | — |
| 150 | #986 | — | 4 | 4 | no | — |
| 151 | #986 | — | 4 | 2 | no | — |
| 152 | #986 | — | 8 | 2 | no | — |
| 153 | #985 | — | 8 | 2 | no | — |
| 154 | #984 | — | 4 | 2 | no | — |
| 155 | #983 | — | 8 | 2 | no | — |
| 156 | C2×GL(2,𝔽3) | — | 8 | 2 | no | — |
| 157 | C4⋊S4 | — | 4 | 2 | no | — |
| 158 | C4⋊S4 | — | 4 | 1 | no | — |
| 159 | C4⋊S4 | — | 8 | 1 | no | — |
| 160 | C4×S4 | — | 8 | 1 | no | — |
| 161 | A4⋊Q8 | — | 4 | 1 | no | — |
| 162 | #908 | — | 16 | 1 | no | — |
| 163 | #131⋊C3 | — | 4 | 4 | no | — |
| 164 | C8×A4 | — | 4 | 2 | no | — |
| 165 | C8×A4 | — | 8 | 2 | no | — |
| 166 | #585 | — | 3 | 2 | no | — |
| 167 | #585 | — | 3 | 1 | no | — |
| 168 | #585 | — | 3 | 2 | no | — |
| 169 | #585 | — | 3 | 1 | no | — |
| 170 | #585 | — | 6 | 1 | no | — |
| 171 | #585 | — | 6 | 1 | no | — |
| 172 | #585 | D12 | 1 | 1 | yes | characteristic |
| 173 | #585 | C22×D3 | 1 | 1 | yes | characteristic |
| 174 | C2×2−1+4 | — | 3 | 2 | no | — |
| 175 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 176 | C2×H(5,𝔽2) | — | 6 | 1 | no | — |
| 177 | C2×H(5,𝔽2) | D12 | 1 | 1 | yes | characteristic |
| 178 | C22×#41 | — | 3 | 1 | no | — |
| 179 | C22×#41 | — | 3 | 2 | no | — |
| 180 | C22×#41 | — | 3 | 1 | no | — |
| 181 | C22×#41 | — | 6 | 1 | no | — |
| 182 | C23×D4 | — | 3 | 1 | no | — |
| 183 | #575 | — | 6 | 2 | no | — |
| 184 | #575 | — | 6 | 2 | no | — |
| 185 | #575 | — | 6 | 2 | no | — |
| 186 | #575 | — | 6 | 2 | no | — |
| 187 | #575 | — | 6 | 2 | no | — |
| 188 | #575 | — | 6 | 2 | no | — |
| 189 | #575 | — | 6 | 2 | no | — |
| 190 | #575 | — | 6 | 2 | no | — |
| 191 | C2×#137 | — | 3 | 2 | no | — |
| 192 | C2×#137 | — | 3 | 2 | no | — |
| 193 | C2×#137 | — | 6 | 2 | no | — |
| 194 | C2×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 195 | C2×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 196 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 197 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 198 | C2×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 199 | C2×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 200 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 201 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 202 | C2×AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 203 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 204 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 205 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 206 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 207 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 208 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 209 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 210 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 211 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 212 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 213 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 214 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 215 | C2×#135 | — | 6 | 2 | no | — |
| 216 | C2×#135 | — | 6 | 2 | no | — |
| 217 | C22×SD16 | — | 3 | 2 | no | — |
| 218 | C22×SD16 | — | 6 | 2 | no | — |
| 219 | C22×D8 | — | 3 | 2 | no | — |
| 220 | C22×D8 | — | 6 | 2 | no | — |
| 221 | #568 | — | 3 | 2 | no | — |
| 222 | #568 | — | 3 | 2 | no | — |
| 223 | #568 | — | 3 | 2 | no | — |
| 224 | #568 | — | 3 | 4 | no | — |
| 225 | #568 | — | 3 | 2 | no | — |
| 226 | #568 | — | 3 | 4 | no | — |
| 227 | #568 | — | 3 | 4 | no | — |
| 228 | #568 | — | 3 | 4 | no | — |
| 229 | #568 | — | 3 | 2 | no | — |
| 230 | #568 | — | 6 | 1 | no | — |
| 231 | #568 | — | 6 | 2 | no | — |
| 232 | #568 | — | 6 | 2 | no | — |
| 233 | #568 | — | 6 | 2 | no | — |
| 234 | #568 | — | 6 | 2 | no | — |
| 235 | #568 | — | 6 | 4 | no | — |
| 236 | #568 | — | 6 | 4 | no | — |
| 237 | #568 | — | 6 | 4 | no | — |
| 238 | #568 | — | 6 | 4 | no | — |
| 239 | #568 | — | 6 | 2 | no | — |
| 240 | #568 | — | 6 | 2 | no | — |
| 241 | #568 | — | 6 | 2 | no | — |
| 242 | #568 | — | 6 | 4 | no | — |
| 243 | #568 | — | 6 | 2 | no | — |
| 244 | #568 | — | 6 | 1 | no | — |
| 245 | #568 | — | 6 | 2 | no | — |
| 246 | #568 | S4 | 1 | 2 | yes | complemented |
| 247 | C2×#131 | — | 3 | 2 | no | — |
| 248 | C2×#131 | — | 3 | 2 | no | — |
| 249 | C2×#131 | — | 3 | 2 | no | — |
| 250 | C2×#131 | — | 3 | 2 | no | — |
| 251 | C2×#131 | — | 3 | 4 | no | — |
| 252 | C2×#131 | — | 3 | 4 | no | — |
| 253 | C2×#131 | — | 6 | 2 | no | — |
| 254 | C2×#131 | — | 6 | 2 | no | — |
| 255 | C2×#131 | — | 6 | 4 | no | — |
| 256 | C2×#131 | — | 6 | 4 | no | — |
| 257 | C2×#131 | — | 6 | 4 | no | — |
| 258 | C2×#131 | — | 6 | 2 | no | — |
| 259 | C2×#131 | — | 6 | 4 | no | — |
| 260 | C2×#131 | — | 6 | 2 | no | — |
| 261 | C2×#131 | — | 6 | 2 | no | — |
| 262 | C2×#131 | — | 6 | 4 | no | — |
| 263 | C2×#131 | — | 6 | 2 | no | — |
| 264 | C22×M16 | — | 2 | 1 | no | — |
| 265 | C22×M16 | — | 3 | 1 | no | — |
| 266 | C22×M16 | — | 3 | 1 | no | — |
| 267 | C22×M16 | — | 3 | 1 | no | — |
| 268 | C22×M16 | — | 3 | 1 | no | — |
| 269 | C22×M16 | — | 3 | 1 | no | — |
| 270 | C22×M16 | — | 3 | 2 | no | — |
| 271 | C22×M16 | — | 3 | 2 | no | — |
| 272 | C22×M16 | — | 3 | 2 | no | — |
| 273 | C22×M16 | — | 6 | 1 | no | — |
| 274 | C22×M16 | — | 6 | 2 | no | — |
| 275 | C22×M16 | — | 6 | 1 | no | — |
| 276 | C22×M16 | — | 6 | 1 | no | — |
| 277 | C22×M16 | — | 6 | 1 | no | — |
| 278 | C22×M16 | S4 | 1 | 1 | yes | characteristic |
| 279 | #537 | — | 6 | 1 | no | — |
| 280 | #537 | — | 6 | 1 | no | — |
| 281 | #536 | — | 3 | 1 | no | — |
| 282 | #536 | — | 3 | 1 | no | — |
| 283 | #536 | — | 6 | 1 | no | — |
| 284 | #535 | — | 3 | 2 | no | — |
| 285 | #535 | — | 3 | 2 | no | — |
| 286 | #535 | — | 3 | 1 | no | — |
| 287 | #535 | — | 3 | 1 | no | — |
| 288 | #535 | — | 6 | 1 | no | — |
| 289 | #535 | — | 6 | 1 | no | — |
| 290 | #535 | — | 6 | 1 | no | — |
| 291 | #535 | — | 6 | 1 | no | — |
| 292 | #535 | — | 6 | 1 | no | — |
| 293 | #535 | — | 6 | 1 | no | — |
| 294 | #535 | — | 6 | 1 | no | — |
| 295 | #534 | — | 6 | 1 | no | — |
| 296 | #534 | — | 6 | 1 | no | — |
| 297 | #532 | — | 6 | 1 | no | — |
| 298 | #532 | — | 6 | 1 | no | — |
| 299 | C2×#127 | — | 6 | 1 | no | — |
| 300 | C2×#124 | — | 6 | 1 | no | — |
| 301 | #525 | — | 6 | 1 | no | — |
| 302 | #525 | — | 6 | 1 | no | — |
| 303 | #525 | — | 6 | 1 | no | — |
| 304 | #525 | — | 6 | 1 | no | — |
| 305 | C2×#121 | — | 6 | 1 | no | — |
| 306 | C2×#121 | — | 6 | 1 | no | — |
| 307 | C2×#120 | — | 6 | 1 | no | — |
| 308 | C2×#120 | — | 6 | 1 | no | — |
| 309 | C2×#117 | — | 3 | 1 | no | — |
| 310 | C2×#117 | — | 3 | 1 | no | — |
| 311 | #472 | — | 6 | 4 | no | — |
| 312 | #472 | — | 6 | 4 | no | — |
| 313 | #472 | — | 6 | 4 | no | — |
| 314 | #472 | — | 6 | 4 | no | — |
| 315 | #472 | — | 6 | 4 | no | — |
| 316 | #472 | — | 6 | 4 | no | — |
| 317 | #472 | — | 6 | 4 | no | — |
| 318 | #472 | — | 6 | 4 | no | — |
| 319 | #471 | — | 6 | 4 | no | — |
| 320 | #471 | — | 6 | 4 | no | — |
| 321 | #471 | — | 6 | 4 | no | — |
| 322 | #471 | — | 6 | 4 | no | — |
| 323 | #471 | — | 6 | 4 | no | — |
| 324 | #471 | — | 6 | 4 | no | — |
| 325 | #471 | — | 6 | 4 | no | — |
| 326 | #471 | — | 6 | 4 | no | — |
| 327 | #469 | — | 6 | 2 | no | — |
| 328 | #469 | — | 6 | 2 | no | — |
| 329 | #469 | — | 6 | 2 | no | — |
| 330 | #469 | — | 6 | 2 | no | — |
| 331 | #468 | — | 6 | 2 | no | — |
| 332 | #468 | — | 6 | 2 | no | — |
| 333 | #468 | — | 6 | 2 | no | — |
| 334 | #468 | — | 6 | 2 | no | — |
| 335 | #466 | — | 6 | 2 | no | — |
| 336 | #466 | — | 6 | 2 | no | — |
| 337 | #466 | — | 6 | 2 | no | — |
| 338 | #466 | — | 6 | 2 | no | — |
| 339 | #465 | — | 6 | 2 | no | — |
| 340 | #465 | — | 6 | 2 | no | — |
| 341 | #465 | — | 6 | 2 | no | — |
| 342 | #465 | — | 6 | 2 | no | — |
| 343 | #456 | — | 6 | 2 | no | — |
| 344 | #456 | — | 6 | 2 | no | — |
| 345 | #456 | — | 6 | 2 | no | — |
| 346 | #456 | — | 6 | 2 | no | — |
| 347 | #455 | — | 6 | 1 | no | — |
| 348 | #455 | — | 6 | 1 | no | — |
| 349 | #455 | — | 6 | 1 | no | — |
| 350 | #455 | — | 6 | 2 | no | — |
| 351 | #455 | — | 6 | 2 | no | — |
| 352 | #455 | — | 6 | 1 | no | — |
| 353 | #454 | — | 6 | 4 | no | — |
| 354 | #454 | — | 6 | 4 | no | — |
| 355 | #454 | — | 6 | 4 | no | — |
| 356 | #454 | — | 6 | 4 | no | — |
| 357 | #454 | — | 6 | 2 | no | — |
| 358 | #454 | — | 6 | 2 | no | — |
| 359 | #454 | — | 6 | 2 | no | — |
| 360 | #454 | — | 6 | 2 | no | — |
| 361 | #453 | — | 6 | 2 | no | — |
| 362 | #453 | — | 6 | 2 | no | — |
| 363 | #453 | — | 6 | 2 | no | — |
| 364 | #453 | — | 6 | 4 | no | — |
| 365 | #453 | — | 6 | 4 | no | — |
| 366 | #453 | — | 6 | 1 | no | — |
| 367 | #453 | — | 6 | 1 | no | — |
| 368 | #453 | — | 6 | 1 | no | — |
| 369 | #453 | — | 6 | 2 | no | — |
| 370 | #453 | — | 6 | 2 | no | — |
| 371 | #453 | — | 6 | 2 | no | — |
| 372 | #453 | — | 6 | 1 | no | — |
| 373 | #430 | — | 6 | 2 | no | — |
| 374 | #430 | — | 6 | 4 | no | — |
| 375 | #430 | — | 6 | 2 | no | — |
| 376 | C2×#108 | — | 3 | 4 | no | — |
| 377 | C2×#108 | — | 3 | 4 | no | — |
| 378 | #428 | — | 6 | 1 | no | — |
| 379 | #428 | — | 6 | 1 | no | — |
| 380 | #428 | — | 6 | 2 | no | — |
| 381 | #427 | — | 3 | 2 | no | — |
| 382 | #427 | — | 3 | 2 | no | — |
| 383 | #421 | — | 3 | 4 | no | — |
| 384 | #421 | — | 3 | 4 | no | — |
| 385 | #421 | — | 3 | 2 | no | — |
| 386 | #421 | — | 3 | 2 | no | — |
| 387 | #421 | — | 3 | 2 | no | — |
| 388 | #421 | — | 3 | 2 | no | — |
| 389 | #421 | — | 6 | 2 | no | — |
| 390 | #421 | — | 6 | 2 | no | — |
| 391 | #421 | — | 6 | 2 | no | — |
| 392 | #421 | — | 6 | 2 | no | — |
| 393 | C2×#104 | — | 6 | 2 | no | — |
| 394 | C2×#104 | — | 6 | 2 | no | — |
| 395 | C2×#104 | — | 6 | 2 | no | — |
| 396 | C2×#104 | — | 6 | 2 | no | — |
| 397 | #419 | — | 3 | 2 | no | — |
| 398 | #418 | — | 3 | 2 | no | — |
| 399 | #418 | — | 3 | 2 | no | — |
| 400 | #418 | — | 3 | 2 | no | — |
| 401 | #418 | — | 6 | 1 | no | — |
| 402 | #418 | — | 6 | 1 | no | — |
| 403 | #417 | — | 6 | 1 | no | — |
| 404 | #417 | — | 6 | 1 | no | — |
| 405 | #416 | — | 6 | 2 | no | — |
| 406 | C2×#102 | — | 6 | 2 | no | — |
| 407 | #413 | — | 3 | 2 | no | — |
| 408 | #413 | — | 3 | 1 | no | — |
| 409 | #413 | — | 3 | 1 | no | — |
| 410 | #413 | — | 3 | 2 | no | — |
| 411 | #413 | — | 3 | 2 | no | — |
| 412 | #413 | — | 6 | 2 | no | — |
| 413 | #413 | — | 6 | 2 | no | — |
| 414 | #413 | — | 6 | 4 | no | — |
| 415 | #413 | — | 6 | 1 | no | — |
| 416 | #413 | — | 6 | 1 | no | — |
| 417 | #413 | — | 6 | 1 | no | — |
| 418 | #413 | — | 6 | 1 | no | — |
| 419 | C2×#101 | — | 3 | 4 | no | — |
| 420 | C2×#101 | — | 6 | 1 | no | — |
| 421 | C2×#101 | — | 6 | 1 | no | — |
| 422 | C2×#100 | — | 3 | 4 | no | — |
| 423 | C2×#100 | — | 3 | 4 | no | — |
| 424 | C2×#100 | — | 3 | 4 | no | — |
| 425 | C2×#100 | — | 6 | 2 | no | — |
| 426 | C2×#100 | — | 6 | 2 | no | — |
| 427 | C2×#100 | — | 6 | 4 | no | — |
| 428 | C2×#100 | — | 6 | 1 | no | — |
| 429 | C2×#100 | — | 6 | 1 | no | — |
| 430 | #344 | — | 3 | 4 | no | — |
| 431 | #344 | — | 3 | 4 | no | — |
| 432 | #344 | — | 3 | 4 | no | — |
| 433 | #344 | — | 3 | 4 | no | — |
| 434 | #338 | — | 3 | 4 | no | — |
| 435 | #338 | — | 3 | 4 | no | — |
| 436 | C22×A4 | — | 4 | 1 | no | — |
| 437 | C22×A4 | — | 8 | 1 | no | — |
| 438 | C2×S4 | — | 8 | 1 | no | — |
| 439 | C2×S4 | — | 8 | 2 | no | — |
| 440 | C2×S4 | — | 16 | 2 | no | — |
| 441 | #235 | — | 16 | 1 | no | — |
| 442 | C2×D12 | — | 16 | 1 | no | — |
| 443 | #41⋊C3 | — | 4 | 2 | no | — |
| 444 | #41⋊C3 | — | 4 | 2 | no | — |
| 445 | C2×SL(2,𝔽3) | — | 4 | 2 | no | — |
| 446 | C4×A4 | — | 4 | 1 | no | — |
| 447 | C4×A4 | — | 4 | 1 | no | — |
| 448 | C4×A4 | — | 8 | 1 | no | — |
| 449 | C4×A4 | — | 8 | 1 | no | — |
| 450 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 451 | GL(2,𝔽3) | — | 8 | 4 | no | — |
| 452 | GL(2,𝔽3) | — | 8 | 2 | no | — |
| 453 | #226 | — | 8 | 2 | no | — |
| 454 | C3×M16 | — | 16 | 1 | no | — |
| 455 | D24 | — | 16 | 2 | no | — |
| 456 | #204 | — | 16 | 2 | no | — |
| 457 | C25 | — | 6 | 1 | no | — |
| 458 | 2−1+4 | — | 3 | 2 | no | — |
| 459 | 2−1+4 | — | 3 | 2 | no | — |
| 460 | 2−1+4 | — | 3 | 2 | no | — |
| 461 | 2−1+4 | — | 3 | 2 | no | — |
| 462 | 2−1+4 | — | 6 | 2 | no | — |
| 463 | 2−1+4 | — | 6 | 2 | no | — |
| 464 | 2−1+4 | — | 6 | 2 | no | — |
| 465 | 2−1+4 | — | 6 | 2 | no | — |
| 466 | 2−1+4 | — | 6 | 2 | no | — |
| 467 | 2−1+4 | — | 6 | 2 | no | — |
| 468 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 469 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 470 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 471 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 472 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 473 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 474 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 475 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 476 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 477 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 478 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 479 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 480 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 481 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 482 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 483 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 484 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 485 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 486 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 487 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 488 | H(5,𝔽2) | C2×D12 | 1 | 1 | yes | characteristic |
| 489 | C2×#41 | — | 3 | 1 | no | — |
| 490 | C2×#41 | — | 3 | 1 | no | — |
| 491 | C2×#41 | — | 3 | 1 | no | — |
| 492 | C2×#41 | — | 3 | 1 | no | — |
| 493 | C2×#41 | — | 3 | 1 | no | — |
| 494 | C2×#41 | — | 3 | 1 | no | — |
| 495 | C2×#41 | — | 3 | 1 | no | — |
| 496 | C2×#41 | — | 3 | 1 | no | — |
| 497 | C2×#41 | — | 3 | 2 | no | — |
| 498 | C2×#41 | — | 3 | 2 | no | — |
| 499 | C2×#41 | — | 3 | 2 | no | — |
| 500 | C2×#41 | — | 3 | 2 | no | — |
| 501 | C2×#41 | — | 3 | 2 | no | — |
| 502 | C2×#41 | — | 3 | 2 | no | — |
| 503 | C2×#41 | — | 3 | 2 | no | — |
| 504 | C2×#41 | — | 3 | 2 | no | — |
| 505 | C2×#41 | — | 3 | 2 | no | — |
| 506 | C2×#41 | — | 3 | 2 | no | — |
| 507 | C2×#41 | — | 3 | 2 | no | — |
| 508 | C2×#41 | — | 6 | 1 | no | — |
| 509 | C2×#41 | — | 6 | 1 | no | — |
| 510 | C2×#41 | — | 6 | 1 | no | — |
| 511 | C2×#41 | — | 6 | 1 | no | — |
| 512 | C2×#41 | — | 6 | 2 | no | — |
| 513 | C2×#41 | — | 6 | 2 | no | — |
| 514 | C2×#41 | — | 6 | 2 | no | — |
| 515 | C2×#41 | — | 6 | 2 | no | — |
| 516 | C2×#41 | — | 6 | 2 | no | — |
| 517 | C2×#41 | — | 6 | 2 | no | — |
| 518 | C2×#41 | — | 6 | 2 | no | — |
| 519 | C2×#41 | — | 6 | 2 | no | — |
| 520 | C2×#41 | — | 6 | 2 | no | — |
| 521 | C2×#41 | — | 6 | 2 | no | — |
| 522 | C2×#41 | — | 6 | 2 | no | — |
| 523 | C2×#41 | — | 6 | 2 | no | — |
| 524 | C2×#41 | — | 6 | 1 | no | — |
| 525 | C2×#41 | — | 6 | 1 | no | — |
| 526 | C2×#41 | — | 6 | 1 | no | — |
| 527 | C2×#41 | — | 6 | 1 | no | — |
| 528 | C2×#41 | — | 6 | 1 | no | — |
| 529 | C2×#41 | — | 6 | 1 | no | — |
| 530 | C2×#41 | — | 6 | 2 | no | — |
| 531 | C2×#41 | — | 6 | 2 | no | — |
| 532 | C2×#41 | — | 6 | 2 | no | — |
| 533 | C2×#41 | — | 6 | 2 | no | — |
| 534 | C2×#41 | — | 6 | 2 | no | — |
| 535 | C2×#41 | — | 6 | 1 | no | — |
| 536 | C2×#41 | — | 6 | 1 | no | — |
| 537 | C2×#41 | — | 6 | 2 | no | — |
| 538 | C2×#41 | — | 6 | 2 | no | — |
| 539 | C2×#41 | C2×S4 | 1 | 2 | yes | — |
| 540 | C22×Q8 | — | 3 | 1 | no | — |
| 541 | C22×Q8 | — | 3 | 2 | no | — |
| 542 | C22×Q8 | — | 3 | 1 | no | — |
| 543 | C22×Q8 | — | 6 | 1 | no | — |
| 544 | C22×D4 | — | 3 | 2 | no | — |
| 545 | C22×D4 | — | 3 | 1 | no | — |
| 546 | C22×D4 | — | 3 | 1 | no | — |
| 547 | C22×D4 | — | 3 | 1 | no | — |
| 548 | C22×D4 | — | 3 | 1 | no | — |
| 549 | C22×D4 | — | 3 | 2 | no | — |
| 550 | C22×D4 | — | 6 | 1 | no | — |
| 551 | C22×D4 | — | 6 | 1 | no | — |
| 552 | C22×D4 | — | 6 | 1 | no | — |
| 553 | C22×D4 | — | 6 | 1 | no | — |
| 554 | C22×D4 | — | 6 | 2 | no | — |
| 555 | C22×D4 | — | 6 | 2 | no | — |
| 556 | C22×D4 | — | 6 | 2 | no | — |
| 557 | C22×D4 | — | 6 | 2 | no | — |
| 558 | C22×D4 | — | 6 | 1 | no | — |
| 559 | C22×D4 | — | 6 | 1 | no | — |
| 560 | C22×D4 | — | 6 | 2 | no | — |
| 561 | C22×D4 | — | 6 | 1 | no | — |
| 562 | C22×D4 | — | 6 | 1 | no | — |
| 563 | C22×D4 | — | 6 | 1 | no | — |
| 564 | C22×D4 | — | 12 | 1 | no | — |
| 565 | C22×D4 | — | 12 | 1 | no | — |
| 566 | C23×C4 | — | 2 | 1 | no | — |
| 567 | C23×C4 | — | 3 | 1 | no | — |
| 568 | C23×C4 | — | 3 | 1 | no | — |
| 569 | C23×C4 | — | 6 | 1 | no | — |
| 570 | C23×C4 | — | 6 | 1 | no | — |
| 571 | C23×C4 | C2×S4 | 1 | 1 | yes | characteristic |
| 572 | #137 | — | 6 | 2 | no | — |
| 573 | #137 | — | 6 | 2 | no | — |
| 574 | #137 | — | 6 | 2 | no | — |
| 575 | #137 | — | 6 | 2 | no | — |
| 576 | #137 | — | 6 | 2 | no | — |
| 577 | #137 | — | 6 | 2 | no | — |
| 578 | #137 | — | 6 | 2 | no | — |
| 579 | #137 | — | 6 | 2 | no | — |
| 580 | #137 | — | 12 | 2 | no | — |
| 581 | #137 | — | 12 | 2 | no | — |
| 582 | #137 | — | 12 | 2 | no | — |
| 583 | #137 | — | 12 | 2 | no | — |
| 584 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 585 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 586 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 587 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 588 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 589 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 590 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 591 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 592 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 593 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 594 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 595 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 596 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 597 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 598 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 599 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 600 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 601 | AGL(1,ℤ/8) | — | 12 | 4 | no | — |
| 602 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 603 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 604 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 605 | AGL(1,ℤ/8) | — | 12 | 4 | no | — |
| 606 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 607 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 608 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 609 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 610 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 611 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 612 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 613 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 614 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 615 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 616 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 617 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 618 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 619 | #135 | — | 12 | 2 | no | — |
| 620 | #135 | — | 12 | 2 | no | — |
| 621 | #135 | — | 12 | 2 | no | — |
| 622 | #135 | — | 12 | 2 | no | — |
| 623 | #135 | — | 12 | 2 | no | — |
| 624 | #135 | — | 12 | 2 | no | — |
| 625 | #135 | — | 12 | 2 | no | — |
| 626 | #135 | — | 12 | 2 | no | — |
| 627 | C2×Q16 | — | 6 | 2 | no | — |
| 628 | C2×Q16 | — | 6 | 2 | no | — |
| 629 | C2×SD16 | — | 6 | 2 | no | — |
| 630 | C2×SD16 | — | 6 | 2 | no | — |
| 631 | C2×SD16 | — | 6 | 4 | no | — |
| 632 | C2×SD16 | — | 6 | 4 | no | — |
| 633 | C2×SD16 | — | 6 | 2 | no | — |
| 634 | C2×SD16 | — | 6 | 2 | no | — |
| 635 | C2×SD16 | — | 6 | 4 | no | — |
| 636 | C2×SD16 | — | 6 | 4 | no | — |
| 637 | C2×SD16 | — | 6 | 2 | no | — |
| 638 | C2×SD16 | — | 6 | 2 | no | — |
| 639 | C2×SD16 | — | 12 | 2 | no | — |
| 640 | C2×SD16 | — | 12 | 2 | no | — |
| 641 | C2×SD16 | — | 12 | 2 | no | — |
| 642 | C2×SD16 | — | 12 | 2 | no | — |
| 643 | C2×D8 | — | 6 | 2 | no | — |
| 644 | C2×D8 | — | 6 | 2 | no | — |
| 645 | C2×D8 | — | 6 | 4 | no | — |
| 646 | C2×D8 | — | 6 | 4 | no | — |
| 647 | C2×D8 | — | 6 | 4 | no | — |
| 648 | C2×D8 | — | 6 | 4 | no | — |
| 649 | C2×D8 | — | 6 | 2 | no | — |
| 650 | C2×D8 | — | 6 | 2 | no | — |
| 651 | C2×D8 | — | 12 | 2 | no | — |
| 652 | C2×D8 | — | 12 | 2 | no | — |
| 653 | C2×D8 | — | 12 | 2 | no | — |
| 654 | C2×D8 | — | 12 | 2 | no | — |
| 655 | #131 | — | 3 | 4 | no | — |
| 656 | #131 | — | 3 | 4 | no | — |
| 657 | #131 | — | 3 | 4 | no | — |
| 658 | #131 | — | 3 | 4 | no | — |
| 659 | #131 | — | 3 | 4 | no | — |
| 660 | #131 | — | 3 | 4 | no | — |
| 661 | #131 | — | 3 | 4 | no | — |
| 662 | #131 | — | 6 | 4 | no | — |
| 663 | #131 | — | 6 | 4 | no | — |
| 664 | #131 | — | 6 | 4 | no | — |
| 665 | #131 | — | 6 | 4 | no | — |
| 666 | #131 | — | 6 | 4 | no | — |
| 667 | #131 | — | 6 | 4 | no | — |
| 668 | #131 | — | 6 | 4 | no | — |
| 669 | #131 | — | 6 | 4 | no | — |
| 670 | #131 | — | 6 | 4 | no | — |
| 671 | #131 | — | 6 | 4 | no | — |
| 672 | #131 | — | 6 | 4 | no | — |
| 673 | #131 | — | 6 | 4 | no | — |
| 674 | #131 | — | 6 | 4 | no | — |
| 675 | #131 | — | 6 | 4 | no | — |
| 676 | #131 | — | 6 | 4 | no | — |
| 677 | #131 | — | 6 | 4 | no | — |
| 678 | #131 | — | 6 | 4 | no | — |
| 679 | #131 | — | 6 | 4 | no | — |
| 680 | #131 | — | 6 | 4 | no | — |
| 681 | #131 | — | 6 | 4 | no | — |
| 682 | #131 | — | 6 | 4 | no | — |
| 683 | #131 | — | 6 | 4 | no | — |
| 684 | #131 | — | 6 | 4 | no | — |
| 685 | #131 | C2×S4 | 1 | 4 | yes | complemented |
| 686 | C2×M16 | — | 3 | 1 | no | — |
| 687 | C2×M16 | — | 3 | 2 | no | — |
| 688 | C2×M16 | — | 3 | 2 | no | — |
| 689 | C2×M16 | — | 3 | 4 | no | — |
| 690 | C2×M16 | — | 3 | 1 | no | — |
| 691 | C2×M16 | — | 3 | 2 | no | — |
| 692 | C2×M16 | — | 3 | 1 | no | — |
| 693 | C2×M16 | — | 3 | 2 | no | — |
| 694 | C2×M16 | — | 3 | 1 | no | — |
| 695 | C2×M16 | — | 3 | 2 | no | — |
| 696 | C2×M16 | — | 3 | 2 | no | — |
| 697 | C2×M16 | — | 3 | 2 | no | — |
| 698 | C2×M16 | — | 3 | 2 | no | — |
| 699 | C2×M16 | — | 3 | 2 | no | — |
| 700 | C2×M16 | — | 3 | 2 | no | — |
| 701 | C2×M16 | — | 3 | 4 | no | — |
| 702 | C2×M16 | — | 3 | 4 | no | — |
| 703 | C2×M16 | — | 3 | 4 | no | — |
| 704 | C2×M16 | — | 3 | 2 | no | — |
| 705 | C2×M16 | — | 3 | 2 | no | — |
| 706 | C2×M16 | — | 6 | 4 | no | — |
| 707 | C2×M16 | — | 6 | 4 | no | — |
| 708 | C2×M16 | — | 6 | 2 | no | — |
| 709 | C2×M16 | — | 6 | 1 | no | — |
| 710 | C2×M16 | — | 6 | 4 | no | — |
| 711 | C2×M16 | — | 6 | 2 | no | — |
| 712 | C2×M16 | — | 6 | 2 | no | — |
| 713 | C2×M16 | — | 6 | 2 | no | — |
| 714 | C2×M16 | — | 6 | 2 | no | — |
| 715 | C2×M16 | — | 6 | 2 | no | — |
| 716 | C2×M16 | — | 6 | 2 | no | — |
| 717 | C2×M16 | — | 6 | 1 | no | — |
| 718 | C2×M16 | — | 6 | 2 | no | — |
| 719 | C2×M16 | — | 6 | 2 | no | — |
| 720 | C2×M16 | — | 6 | 2 | no | — |
| 721 | C2×M16 | — | 6 | 4 | no | — |
| 722 | C2×M16 | — | 6 | 4 | no | — |
| 723 | C2×M16 | — | 6 | 2 | no | — |
| 724 | C2×M16 | — | 6 | 2 | no | — |
| 725 | C2×M16 | — | 6 | 2 | no | — |
| 726 | C2×M16 | — | 6 | 2 | no | — |
| 727 | C2×M16 | — | 6 | 2 | no | — |
| 728 | C2×M16 | — | 6 | 4 | no | — |
| 729 | C2×M16 | — | 6 | 2 | no | — |
| 730 | C2×M16 | — | 6 | 1 | no | — |
| 731 | C2×M16 | — | 6 | 1 | no | — |
| 732 | C2×M16 | — | 6 | 2 | no | — |
| 733 | C2×M16 | — | 6 | 2 | no | — |
| 734 | C2×M16 | — | 6 | 2 | no | — |
| 735 | C2×M16 | — | 6 | 2 | no | — |
| 736 | C2×M16 | — | 6 | 2 | no | — |
| 737 | C2×M16 | — | 6 | 2 | no | — |
| 738 | C2×M16 | — | 6 | 2 | no | — |
| 739 | C2×M16 | — | 6 | 2 | no | — |
| 740 | C2×M16 | — | 6 | 2 | no | — |
| 741 | C2×M16 | — | 6 | 2 | no | — |
| 742 | C2×M16 | — | 6 | 2 | no | — |
| 743 | C22×C8 | — | 2 | 2 | no | — |
| 744 | C22×C8 | — | 3 | 2 | no | — |
| 745 | C22×C8 | — | 3 | 2 | no | — |
| 746 | C22×C8 | — | 3 | 2 | no | — |
| 747 | C22×C8 | — | 3 | 2 | no | — |
| 748 | C22×C8 | — | 3 | 2 | no | — |
| 749 | C22×C8 | — | 6 | 2 | no | — |
| 750 | C22×C8 | — | 6 | 4 | no | — |
| 751 | C22×C8 | — | 6 | 2 | no | — |
| 752 | C22×C8 | — | 6 | 2 | no | — |
| 753 | C22×C8 | — | 6 | 2 | no | — |
| 754 | C22×C8 | — | 6 | 2 | no | — |
| 755 | C22×C8 | — | 6 | 2 | no | — |
| 756 | C22×C8 | — | 6 | 2 | no | — |
| 757 | C22×C8 | C2×S4 | 1 | 2 | yes | — |
| 758 | C4⋊Q8 | — | 6 | 1 | no | — |
| 759 | C4⋊Q8 | — | 6 | 1 | no | — |
| 760 | #127 | — | 6 | 2 | no | — |
| 761 | #127 | — | 6 | 2 | no | — |
| 762 | #127 | — | 6 | 1 | no | — |
| 763 | #127 | — | 6 | 1 | no | — |
| 764 | #127 | — | 12 | 1 | no | — |
| 765 | #127 | — | 12 | 1 | no | — |
| 766 | #124 | — | 6 | 1 | no | — |
| 767 | #124 | — | 6 | 1 | no | — |
| 768 | #124 | — | 6 | 2 | no | — |
| 769 | #124 | — | 6 | 2 | no | — |
| 770 | #124 | — | 6 | 1 | no | — |
| 771 | #124 | — | 6 | 1 | no | — |
| 772 | #124 | — | 12 | 1 | no | — |
| 773 | #124 | — | 12 | 1 | no | — |
| 774 | #123 | — | 6 | 1 | no | — |
| 775 | #123 | — | 6 | 1 | no | — |
| 776 | #123 | — | 6 | 1 | no | — |
| 777 | #123 | — | 6 | 1 | no | — |
| 778 | #123 | — | 12 | 1 | no | — |
| 779 | #123 | — | 12 | 1 | no | — |
| 780 | C22⋊Q8 | — | 6 | 1 | no | — |
| 781 | C22⋊Q8 | — | 6 | 1 | no | — |
| 782 | C22⋊Q8 | — | 6 | 1 | no | — |
| 783 | C22⋊Q8 | — | 6 | 1 | no | — |
| 784 | C22⋊Q8 | — | 12 | 1 | no | — |
| 785 | C22⋊Q8 | — | 12 | 1 | no | — |
| 786 | #121 | — | 6 | 2 | no | — |
| 787 | #121 | — | 6 | 2 | no | — |
| 788 | #121 | — | 6 | 2 | no | — |
| 789 | #121 | — | 6 | 1 | no | — |
| 790 | #121 | — | 6 | 1 | no | — |
| 791 | #121 | — | 6 | 1 | no | — |
| 792 | #121 | — | 6 | 2 | no | — |
| 793 | #121 | — | 6 | 1 | no | — |
| 794 | #121 | — | 12 | 1 | no | — |
| 795 | #121 | — | 12 | 1 | no | — |
| 796 | #121 | — | 12 | 1 | no | — |
| 797 | #121 | — | 12 | 1 | no | — |
| 798 | #121 | — | 12 | 1 | no | — |
| 799 | #121 | — | 12 | 1 | no | — |
| 800 | #121 | — | 12 | 1 | no | — |
| 801 | #121 | — | 12 | 1 | no | — |
| 802 | #121 | — | 12 | 1 | no | — |
| 803 | #121 | — | 12 | 1 | no | — |
| 804 | #120 | — | 6 | 2 | no | — |
| 805 | #120 | — | 6 | 2 | no | — |
| 806 | #120 | — | 6 | 2 | no | — |
| 807 | #120 | — | 6 | 2 | no | — |
| 808 | #120 | — | 6 | 1 | no | — |
| 809 | #120 | — | 6 | 1 | no | — |
| 810 | #120 | — | 6 | 1 | no | — |
| 811 | #120 | — | 6 | 1 | no | — |
| 812 | #120 | — | 12 | 1 | no | — |
| 813 | #120 | — | 12 | 1 | no | — |
| 814 | #120 | — | 12 | 1 | no | — |
| 815 | #120 | — | 12 | 1 | no | — |
| 816 | #120 | — | 12 | 1 | no | — |
| 817 | #120 | — | 12 | 1 | no | — |
| 818 | C4×D4 | — | 12 | 1 | no | — |
| 819 | C4×D4 | — | 12 | 1 | no | — |
| 820 | C4×D4 | — | 12 | 1 | no | — |
| 821 | C4×D4 | — | 12 | 1 | no | — |
| 822 | #117 | — | 3 | 2 | no | — |
| 823 | #117 | — | 3 | 1 | no | — |
| 824 | #117 | — | 3 | 1 | no | — |
| 825 | #117 | — | 6 | 1 | no | — |
| 826 | #117 | — | 6 | 1 | no | — |
| 827 | #117 | — | 6 | 1 | no | — |
| 828 | #117 | — | 6 | 1 | no | — |
| 829 | #117 | — | 6 | 1 | no | — |
| 830 | #117 | — | 6 | 1 | no | — |
| 831 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 832 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 833 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 834 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 835 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 836 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 837 | C2×C42 | — | 6 | 1 | no | — |
| 838 | C2×C42 | — | 6 | 1 | no | — |
| 839 | #108 | — | 6 | 4 | no | — |
| 840 | #108 | — | 6 | 4 | no | — |
| 841 | #108 | — | 6 | 4 | no | — |
| 842 | #108 | — | 6 | 4 | no | — |
| 843 | #107 | — | 6 | 2 | no | — |
| 844 | #107 | — | 6 | 2 | no | — |
| 845 | #106 | — | 6 | 2 | no | — |
| 846 | #106 | — | 6 | 2 | no | — |
| 847 | #104 | — | 6 | 4 | no | — |
| 848 | #104 | — | 6 | 4 | no | — |
| 849 | #104 | — | 6 | 4 | no | — |
| 850 | #104 | — | 6 | 4 | no | — |
| 851 | #104 | — | 6 | 2 | no | — |
| 852 | #104 | — | 6 | 2 | no | — |
| 853 | #104 | — | 6 | 2 | no | — |
| 854 | #104 | — | 6 | 2 | no | — |
| 855 | #104 | — | 6 | 2 | no | — |
| 856 | #104 | — | 6 | 2 | no | — |
| 857 | #104 | — | 6 | 2 | no | — |
| 858 | #104 | — | 6 | 2 | no | — |
| 859 | #103 | — | 6 | 2 | no | — |
| 860 | #103 | — | 6 | 2 | no | — |
| 861 | #102 | — | 6 | 2 | no | — |
| 862 | #102 | — | 6 | 2 | no | — |
| 863 | #102 | — | 6 | 2 | no | — |
| 864 | #102 | — | 6 | 2 | no | — |
| 865 | #102 | — | 6 | 2 | no | — |
| 866 | #102 | — | 6 | 2 | no | — |
| 867 | #101 | — | 6 | 4 | no | — |
| 868 | #101 | — | 6 | 4 | no | — |
| 869 | #101 | — | 6 | 2 | no | — |
| 870 | #101 | — | 6 | 2 | no | — |
| 871 | #101 | — | 6 | 2 | no | — |
| 872 | #101 | — | 6 | 1 | no | — |
| 873 | #101 | — | 6 | 1 | no | — |
| 874 | #100 | — | 6 | 4 | no | — |
| 875 | #100 | — | 6 | 4 | no | — |
| 876 | #100 | — | 6 | 4 | no | — |
| 877 | #100 | — | 6 | 4 | no | — |
| 878 | #100 | — | 6 | 4 | no | — |
| 879 | #100 | — | 6 | 4 | no | — |
| 880 | #100 | — | 6 | 2 | no | — |
| 881 | #100 | — | 6 | 2 | no | — |
| 882 | #100 | — | 6 | 2 | no | — |
| 883 | #100 | — | 6 | 1 | no | — |
| 884 | #100 | — | 6 | 1 | no | — |
| 885 | C22×D3 | — | 32 | 1 | no | — |
| 886 | C2×A4 | — | 4 | 1 | no | — |
| 887 | C2×A4 | — | 8 | 1 | no | — |
| 888 | C2×A4 | — | 8 | 1 | no | — |
| 889 | C2×A4 | — | 16 | 1 | no | — |
| 890 | S4 | — | 16 | 1 | no | — |
| 891 | S4 | — | 16 | 2 | no | — |
| 892 | C2×C3×C4 | — | 16 | 1 | no | — |
| 893 | #67 | — | 32 | 1 | no | — |
| 894 | D12 | — | 16 | 2 | no | — |
| 895 | D12 | — | 16 | 1 | no | — |
| 896 | D12 | — | 32 | 1 | no | — |
| 897 | C4×D3 | — | 32 | 1 | no | — |
| 898 | Dic6 | — | 16 | 1 | no | — |
| 899 | SL(2,𝔽3) | — | 4 | 2 | no | — |
| 900 | C3×C8 | — | 16 | 2 | no | — |
| 901 | C24 | — | 2 | 1 | no | — |
| 902 | C24 | — | 3 | 1 | no | — |
| 903 | C24 | — | 3 | 1 | no | — |
| 904 | C24 | — | 6 | 1 | no | — |
| 905 | C24 | — | 6 | 1 | no | — |
| 906 | C24 | — | 6 | 2 | no | — |
| 907 | C24 | — | 12 | 1 | no | — |
| 908 | C24 | — | 12 | 1 | no | — |
| 909 | C24 | — | 12 | 2 | no | — |
| 910 | C24 | — | 12 | 2 | no | — |
| 911 | C24 | — | 48 | 2 | no | — |
| 912 | C24 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 913 | #41 | — | 3 | 2 | no | — |
| 914 | #41 | — | 3 | 2 | no | — |
| 915 | #41 | — | 3 | 2 | no | — |
| 916 | #41 | — | 3 | 2 | no | — |
| 917 | #41 | — | 3 | 2 | no | — |
| 918 | #41 | — | 3 | 2 | no | — |
| 919 | #41 | — | 3 | 2 | no | — |
| 920 | #41 | — | 3 | 2 | no | — |
| 921 | #41 | — | 3 | 2 | no | — |
| 922 | #41 | — | 3 | 2 | no | — |
| 923 | #41 | — | 3 | 2 | no | — |
| 924 | #41 | — | 3 | 2 | no | — |
| 925 | #41 | — | 3 | 2 | no | — |
| 926 | #41 | — | 3 | 2 | no | — |
| 927 | #41 | — | 6 | 2 | no | — |
| 928 | #41 | — | 6 | 2 | no | — |
| 929 | #41 | — | 6 | 2 | no | — |
| 930 | #41 | — | 6 | 2 | no | — |
| 931 | #41 | — | 6 | 2 | no | — |
| 932 | #41 | — | 6 | 2 | no | — |
| 933 | #41 | — | 6 | 2 | no | — |
| 934 | #41 | — | 6 | 2 | no | — |
| 935 | #41 | — | 6 | 2 | no | — |
| 936 | #41 | — | 6 | 2 | no | — |
| 937 | #41 | — | 6 | 2 | no | — |
| 938 | #41 | — | 6 | 2 | no | — |
| 939 | #41 | — | 6 | 2 | no | — |
| 940 | #41 | — | 6 | 2 | no | — |
| 941 | #41 | — | 6 | 2 | no | — |
| 942 | #41 | — | 6 | 2 | no | — |
| 943 | #41 | — | 6 | 2 | no | — |
| 944 | #41 | — | 6 | 2 | no | — |
| 945 | #41 | — | 6 | 2 | no | — |
| 946 | #41 | — | 6 | 2 | no | — |
| 947 | #41 | — | 6 | 2 | no | — |
| 948 | #41 | — | 6 | 2 | no | — |
| 949 | #41 | — | 6 | 2 | no | — |
| 950 | #41 | — | 6 | 2 | no | — |
| 951 | #41 | — | 6 | 2 | no | — |
| 952 | #41 | — | 6 | 2 | no | — |
| 953 | #41 | — | 6 | 2 | no | — |
| 954 | #41 | — | 6 | 2 | no | — |
| 955 | #41 | — | 6 | 2 | no | — |
| 956 | #41 | — | 6 | 2 | no | — |
| 957 | #41 | — | 6 | 2 | no | — |
| 958 | #41 | — | 6 | 2 | no | — |
| 959 | #41 | — | 6 | 2 | no | — |
| 960 | #41 | — | 6 | 2 | no | — |
| 961 | #41 | — | 6 | 2 | no | — |
| 962 | #41 | — | 6 | 2 | no | — |
| 963 | #41 | — | 6 | 2 | no | — |
| 964 | #41 | — | 6 | 2 | no | — |
| 965 | #41 | — | 6 | 2 | no | — |
| 966 | #41 | — | 6 | 2 | no | — |
| 967 | #41 | — | 6 | 2 | no | — |
| 968 | #41 | — | 6 | 2 | no | — |
| 969 | #41 | — | 6 | 2 | no | — |
| 970 | #41 | — | 6 | 2 | no | — |
| 971 | #41 | — | 6 | 2 | no | — |
| 972 | #41 | — | 6 | 2 | no | — |
| 973 | #41 | — | 12 | 2 | no | — |
| 974 | #41 | — | 12 | 2 | no | — |
| 975 | #41 | — | 12 | 1 | no | — |
| 976 | #41 | — | 12 | 2 | no | — |
| 977 | #41 | — | 12 | 2 | no | — |
| 978 | #41 | — | 12 | 2 | no | — |
| 979 | #41 | — | 12 | 2 | no | — |
| 980 | #41 | — | 12 | 1 | no | — |
| 981 | #41 | — | 12 | 1 | no | — |
| 982 | #41 | — | 12 | 1 | no | — |
| 983 | #41 | C4⋊S4 | 1 | 2 | yes | — |
| 984 | #41 | C22×S4 | 1 | 2 | yes | — |
| 985 | C2×Q8 | — | 3 | 1 | no | — |
| 986 | C2×Q8 | — | 3 | 1 | no | — |
| 987 | C2×Q8 | — | 3 | 1 | no | — |
| 988 | C2×Q8 | — | 3 | 1 | no | — |
| 989 | C2×Q8 | — | 3 | 2 | no | — |
| 990 | C2×Q8 | — | 3 | 2 | no | — |
| 991 | C2×Q8 | — | 3 | 2 | no | — |
| 992 | C2×Q8 | — | 3 | 2 | no | — |
| 993 | C2×Q8 | — | 3 | 2 | no | — |
| 994 | C2×Q8 | — | 6 | 2 | no | — |
| 995 | C2×Q8 | — | 6 | 2 | no | — |
| 996 | C2×Q8 | — | 6 | 2 | no | — |
| 997 | C2×Q8 | — | 6 | 2 | no | — |
| 998 | C2×Q8 | — | 6 | 2 | no | — |
| 999 | C2×Q8 | — | 6 | 1 | no | — |
| 1000 | C2×Q8 | — | 6 | 1 | no | — |
| 1001 | C2×Q8 | — | 6 | 2 | no | — |
| 1002 | C2×Q8 | — | 6 | 1 | no | — |
| 1003 | C2×Q8 | — | 6 | 1 | no | — |
| 1004 | C2×Q8 | — | 6 | 2 | no | — |
| 1005 | C2×Q8 | — | 6 | 2 | no | — |
| 1006 | C2×Q8 | — | 6 | 1 | no | — |
| 1007 | C2×Q8 | — | 6 | 1 | no | — |
| 1008 | C2×Q8 | C4⋊S4 | 1 | 2 | yes | — |
| 1009 | C2×D4 | — | 3 | 2 | no | — |
| 1010 | C2×D4 | — | 3 | 2 | no | — |
| 1011 | C2×D4 | — | 3 | 2 | no | — |
| 1012 | C2×D4 | — | 3 | 2 | no | — |
| 1013 | C2×D4 | — | 3 | 2 | no | — |
| 1014 | C2×D4 | — | 3 | 2 | no | — |
| 1015 | C2×D4 | — | 3 | 1 | no | — |
| 1016 | C2×D4 | — | 3 | 1 | no | — |
| 1017 | C2×D4 | — | 3 | 1 | no | — |
| 1018 | C2×D4 | — | 3 | 1 | no | — |
| 1019 | C2×D4 | — | 3 | 1 | no | — |
| 1020 | C2×D4 | — | 3 | 1 | no | — |
| 1021 | C2×D4 | — | 3 | 1 | no | — |
| 1022 | C2×D4 | — | 3 | 1 | no | — |
| 1023 | C2×D4 | — | 3 | 1 | no | — |
| 1024 | C2×D4 | — | 3 | 1 | no | — |
| 1025 | C2×D4 | — | 3 | 1 | no | — |
| 1026 | C2×D4 | — | 3 | 1 | no | — |
| 1027 | C2×D4 | — | 6 | 2 | no | — |
| 1028 | C2×D4 | — | 6 | 2 | no | — |
| 1029 | C2×D4 | — | 6 | 2 | no | — |
| 1030 | C2×D4 | — | 6 | 2 | no | — |
| 1031 | C2×D4 | — | 6 | 2 | no | — |
| 1032 | C2×D4 | — | 6 | 2 | no | — |
| 1033 | C2×D4 | — | 6 | 4 | no | — |
| 1034 | C2×D4 | — | 6 | 1 | no | — |
| 1035 | C2×D4 | — | 6 | 2 | no | — |
| 1036 | C2×D4 | — | 6 | 2 | no | — |
| 1037 | C2×D4 | — | 6 | 1 | no | — |
| 1038 | C2×D4 | — | 6 | 4 | no | — |
| 1039 | C2×D4 | — | 6 | 2 | no | — |
| 1040 | C2×D4 | — | 6 | 1 | no | — |
| 1041 | C2×D4 | — | 6 | 1 | no | — |
| 1042 | C2×D4 | — | 6 | 2 | no | — |
| 1043 | C2×D4 | — | 6 | 2 | no | — |
| 1044 | C2×D4 | — | 6 | 2 | no | — |
| 1045 | C2×D4 | — | 6 | 2 | no | — |
| 1046 | C2×D4 | — | 6 | 2 | no | — |
| 1047 | C2×D4 | — | 6 | 2 | no | — |
| 1048 | C2×D4 | — | 6 | 1 | no | — |
| 1049 | C2×D4 | — | 6 | 1 | no | — |
| 1050 | C2×D4 | — | 6 | 1 | no | — |
| 1051 | C2×D4 | — | 6 | 2 | no | — |
| 1052 | C2×D4 | — | 6 | 2 | no | — |
| 1053 | C2×D4 | — | 6 | 2 | no | — |
| 1054 | C2×D4 | — | 6 | 2 | no | — |
| 1055 | C2×D4 | — | 6 | 2 | no | — |
| 1056 | C2×D4 | — | 6 | 2 | no | — |
| 1057 | C2×D4 | — | 6 | 2 | no | — |
| 1058 | C2×D4 | — | 6 | 2 | no | — |
| 1059 | C2×D4 | — | 6 | 1 | no | — |
| 1060 | C2×D4 | — | 6 | 2 | no | — |
| 1061 | C2×D4 | — | 6 | 1 | no | — |
| 1062 | C2×D4 | — | 6 | 1 | no | — |
| 1063 | C2×D4 | — | 6 | 2 | no | — |
| 1064 | C2×D4 | — | 6 | 2 | no | — |
| 1065 | C2×D4 | — | 6 | 1 | no | — |
| 1066 | C2×D4 | — | 6 | 1 | no | — |
| 1067 | C2×D4 | — | 6 | 2 | no | — |
| 1068 | C2×D4 | — | 6 | 1 | no | — |
| 1069 | C2×D4 | — | 6 | 1 | no | — |
| 1070 | C2×D4 | — | 12 | 2 | no | — |
| 1071 | C2×D4 | — | 12 | 2 | no | — |
| 1072 | C2×D4 | — | 12 | 2 | no | — |
| 1073 | C2×D4 | — | 12 | 1 | no | — |
| 1074 | C2×D4 | — | 12 | 2 | no | — |
| 1075 | C2×D4 | — | 12 | 2 | no | — |
| 1076 | C2×D4 | — | 12 | 2 | no | — |
| 1077 | C2×D4 | — | 12 | 1 | no | — |
| 1078 | C2×D4 | — | 12 | 1 | no | — |
| 1079 | C2×D4 | — | 12 | 1 | no | — |
| 1080 | C2×D4 | — | 12 | 1 | no | — |
| 1081 | C2×D4 | — | 12 | 2 | no | — |
| 1082 | C2×D4 | — | 12 | 2 | no | — |
| 1083 | C2×D4 | — | 12 | 1 | no | — |
| 1084 | C2×D4 | — | 12 | 1 | no | — |
| 1085 | C2×D4 | — | 12 | 2 | no | — |
| 1086 | C2×D4 | — | 12 | 2 | no | — |
| 1087 | C2×D4 | — | 12 | 1 | no | — |
| 1088 | C2×D4 | — | 12 | 1 | no | — |
| 1089 | C2×D4 | — | 12 | 1 | no | — |
| 1090 | C2×D4 | — | 12 | 2 | no | — |
| 1091 | C2×D4 | — | 12 | 2 | no | — |
| 1092 | C2×D4 | — | 12 | 2 | no | — |
| 1093 | C2×D4 | — | 12 | 1 | no | — |
| 1094 | C2×D4 | — | 12 | 2 | no | — |
| 1095 | C2×D4 | — | 12 | 1 | no | — |
| 1096 | C2×D4 | — | 48 | 2 | no | — |
| 1097 | C2×D4 | — | 48 | 2 | no | — |
| 1098 | C22×C4 | — | 2 | 1 | no | — |
| 1099 | C22×C4 | — | 2 | 1 | no | — |
| 1100 | C22×C4 | — | 3 | 1 | no | — |
| 1101 | C22×C4 | — | 3 | 1 | no | — |
| 1102 | C22×C4 | — | 3 | 1 | no | — |
| 1103 | C22×C4 | — | 3 | 1 | no | — |
| 1104 | C22×C4 | — | 3 | 1 | no | — |
| 1105 | C22×C4 | — | 3 | 2 | no | — |
| 1106 | C22×C4 | — | 3 | 2 | no | — |
| 1107 | C22×C4 | — | 3 | 2 | no | — |
| 1108 | C22×C4 | — | 3 | 1 | no | — |
| 1109 | C22×C4 | — | 3 | 2 | no | — |
| 1110 | C22×C4 | — | 3 | 1 | no | — |
| 1111 | C22×C4 | — | 3 | 1 | no | — |
| 1112 | C22×C4 | — | 3 | 1 | no | — |
| 1113 | C22×C4 | — | 3 | 1 | no | — |
| 1114 | C22×C4 | — | 3 | 1 | no | — |
| 1115 | C22×C4 | — | 3 | 1 | no | — |
| 1116 | C22×C4 | — | 3 | 1 | no | — |
| 1117 | C22×C4 | — | 3 | 1 | no | — |
| 1118 | C22×C4 | — | 6 | 1 | no | — |
| 1119 | C22×C4 | — | 6 | 2 | no | — |
| 1120 | C22×C4 | — | 6 | 1 | no | — |
| 1121 | C22×C4 | — | 6 | 1 | no | — |
| 1122 | C22×C4 | — | 6 | 1 | no | — |
| 1123 | C22×C4 | — | 6 | 2 | no | — |
| 1124 | C22×C4 | — | 6 | 1 | no | — |
| 1125 | C22×C4 | — | 6 | 2 | no | — |
| 1126 | C22×C4 | — | 6 | 1 | no | — |
| 1127 | C22×C4 | — | 6 | 1 | no | — |
| 1128 | C22×C4 | — | 6 | 1 | no | — |
| 1129 | C22×C4 | — | 6 | 1 | no | — |
| 1130 | C22×C4 | — | 6 | 1 | no | — |
| 1131 | C22×C4 | — | 6 | 1 | no | — |
| 1132 | C22×C4 | — | 6 | 1 | no | — |
| 1133 | C22×C4 | — | 6 | 1 | no | — |
| 1134 | C22×C4 | — | 12 | 1 | no | — |
| 1135 | C22×C4 | — | 12 | 1 | no | — |
| 1136 | C22×C4 | — | 12 | 2 | no | — |
| 1137 | C22×C4 | — | 12 | 2 | no | — |
| 1138 | C22×C4 | — | 12 | 1 | no | — |
| 1139 | C22×C4 | — | 12 | 1 | no | — |
| 1140 | C22×C4 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 1141 | C22×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 1142 | Q16 | — | 12 | 2 | no | — |
| 1143 | Q16 | — | 12 | 2 | no | — |
| 1144 | Q16 | — | 12 | 2 | no | — |
| 1145 | Q16 | — | 12 | 2 | no | — |
| 1146 | SD16 | — | 12 | 2 | no | — |
| 1147 | SD16 | — | 12 | 4 | no | — |
| 1148 | SD16 | — | 12 | 2 | no | — |
| 1149 | SD16 | — | 12 | 2 | no | — |
| 1150 | SD16 | — | 12 | 2 | no | — |
| 1151 | SD16 | — | 12 | 2 | no | — |
| 1152 | SD16 | — | 12 | 4 | no | — |
| 1153 | SD16 | — | 12 | 4 | no | — |
| 1154 | SD16 | — | 12 | 4 | no | — |
| 1155 | SD16 | — | 12 | 2 | no | — |
| 1156 | SD16 | — | 12 | 2 | no | — |
| 1157 | SD16 | — | 12 | 2 | no | — |
| 1158 | SD16 | — | 12 | 4 | no | — |
| 1159 | SD16 | — | 12 | 2 | no | — |
| 1160 | SD16 | — | 12 | 2 | no | — |
| 1161 | D8 | — | 12 | 2 | no | — |
| 1162 | D8 | — | 12 | 4 | no | — |
| 1163 | D8 | — | 12 | 4 | no | — |
| 1164 | D8 | — | 12 | 4 | no | — |
| 1165 | D8 | — | 12 | 4 | no | — |
| 1166 | D8 | — | 12 | 4 | no | — |
| 1167 | D8 | — | 12 | 2 | no | — |
| 1168 | D8 | — | 12 | 2 | no | — |
| 1169 | D8 | — | 12 | 2 | no | — |
| 1170 | D8 | — | 12 | 2 | no | — |
| 1171 | D8 | — | 12 | 2 | no | — |
| 1172 | M16 | — | 3 | 4 | no | — |
| 1173 | M16 | — | 3 | 2 | no | — |
| 1174 | M16 | — | 3 | 1 | no | — |
| 1175 | M16 | — | 3 | 2 | no | — |
| 1176 | M16 | — | 3 | 2 | no | — |
| 1177 | M16 | — | 3 | 4 | no | — |
| 1178 | M16 | — | 3 | 4 | no | — |
| 1179 | M16 | — | 3 | 4 | no | — |
| 1180 | M16 | — | 6 | 1 | no | — |
| 1181 | M16 | — | 6 | 4 | no | — |
| 1182 | M16 | — | 6 | 2 | no | — |
| 1183 | M16 | — | 6 | 4 | no | — |
| 1184 | M16 | — | 6 | 4 | no | — |
| 1185 | M16 | — | 6 | 4 | no | — |
| 1186 | M16 | — | 6 | 2 | no | — |
| 1187 | M16 | — | 6 | 4 | no | — |
| 1188 | M16 | — | 6 | 1 | no | — |
| 1189 | M16 | — | 6 | 2 | no | — |
| 1190 | M16 | — | 6 | 1 | no | — |
| 1191 | M16 | — | 6 | 2 | no | — |
| 1192 | M16 | — | 6 | 2 | no | — |
| 1193 | M16 | — | 6 | 2 | no | — |
| 1194 | M16 | — | 6 | 4 | no | — |
| 1195 | M16 | — | 6 | 2 | no | — |
| 1196 | M16 | — | 6 | 2 | no | — |
| 1197 | M16 | — | 6 | 4 | no | — |
| 1198 | M16 | — | 12 | 2 | no | — |
| 1199 | M16 | — | 12 | 2 | no | — |
| 1200 | M16 | — | 12 | 2 | no | — |
| 1201 | M16 | — | 12 | 2 | no | — |
| 1202 | M16 | #1020 | 1 | 1 | yes | characteristic |
| 1203 | C2×C8 | — | 3 | 2 | no | — |
| 1204 | C2×C8 | — | 3 | 4 | no | — |
| 1205 | C2×C8 | — | 3 | 2 | no | — |
| 1206 | C2×C8 | — | 3 | 4 | no | — |
| 1207 | C2×C8 | — | 3 | 2 | no | — |
| 1208 | C2×C8 | — | 3 | 2 | no | — |
| 1209 | C2×C8 | — | 6 | 2 | no | — |
| 1210 | C2×C8 | — | 6 | 4 | no | — |
| 1211 | C2×C8 | — | 6 | 2 | no | — |
| 1212 | C2×C8 | — | 6 | 4 | no | — |
| 1213 | C2×C8 | — | 6 | 4 | no | — |
| 1214 | C2×C8 | — | 6 | 4 | no | — |
| 1215 | C2×C8 | — | 6 | 2 | no | — |
| 1216 | C2×C8 | — | 6 | 4 | no | — |
| 1217 | C2×C8 | — | 6 | 2 | no | — |
| 1218 | C2×C8 | — | 6 | 2 | no | — |
| 1219 | C2×C8 | — | 6 | 2 | no | — |
| 1220 | C2×C8 | — | 6 | 4 | no | — |
| 1221 | C2×C8 | — | 6 | 2 | no | — |
| 1222 | C2×C8 | — | 6 | 2 | no | — |
| 1223 | C2×C8 | — | 12 | 2 | no | — |
| 1224 | C2×C8 | — | 12 | 2 | no | — |
| 1225 | C2×C8 | — | 12 | 2 | no | — |
| 1226 | C2×C8 | — | 12 | 2 | no | — |
| 1227 | C4⋊C4 | — | 6 | 1 | no | — |
| 1228 | C4⋊C4 | — | 6 | 1 | no | — |
| 1229 | C4⋊C4 | — | 6 | 2 | no | — |
| 1230 | C4⋊C4 | — | 12 | 1 | no | — |
| 1231 | C4⋊C4 | — | 12 | 1 | no | — |
| 1232 | C4⋊C4 | — | 12 | 1 | no | — |
| 1233 | C4⋊C4 | — | 12 | 1 | no | — |
| 1234 | C4⋊C4 | — | 12 | 1 | no | — |
| 1235 | C4⋊C4 | — | 12 | 1 | no | — |
| 1236 | C22⋊C4 | — | 6 | 2 | no | — |
| 1237 | C22⋊C4 | — | 6 | 1 | no | — |
| 1238 | C22⋊C4 | — | 6 | 1 | no | — |
| 1239 | C22⋊C4 | — | 12 | 2 | no | — |
| 1240 | C22⋊C4 | — | 12 | 2 | no | — |
| 1241 | C22⋊C4 | — | 12 | 2 | no | — |
| 1242 | C22⋊C4 | — | 12 | 2 | no | — |
| 1243 | C22⋊C4 | — | 12 | 1 | no | — |
| 1244 | C22⋊C4 | — | 12 | 1 | no | — |
| 1245 | C22⋊C4 | — | 12 | 1 | no | — |
| 1246 | C22⋊C4 | — | 12 | 1 | no | — |
| 1247 | C22⋊C4 | — | 12 | 1 | no | — |
| 1248 | C22⋊C4 | — | 12 | 1 | no | — |
| 1249 | C22⋊C4 | — | 12 | 1 | no | — |
| 1250 | C22⋊C4 | — | 12 | 1 | no | — |
| 1251 | C22⋊C4 | — | 12 | 1 | no | — |
| 1252 | C22⋊C4 | — | 12 | 1 | no | — |
| 1253 | C42 | — | 6 | 2 | no | — |
| 1254 | C42 | — | 6 | 1 | no | — |
| 1255 | C42 | — | 6 | 1 | no | — |
| 1256 | C42 | — | 12 | 1 | no | — |
| 1257 | C42 | — | 12 | 1 | no | — |
| 1258 | C22×C3 | — | 16 | 1 | no | — |
| 1259 | C2×D3 | — | 32 | 1 | no | — |
| 1260 | C2×D3 | — | 32 | 2 | no | — |
| 1261 | C2×D3 | — | 64 | 2 | no | — |
| 1262 | A4 | — | 4 | 1 | no | — |
| 1263 | A4 | — | 8 | 1 | no | — |
| 1264 | C3×C4 | — | 16 | 1 | no | — |
| 1265 | C3×C4 | — | 16 | 1 | no | — |
| 1266 | Dic3 | — | 32 | 1 | no | — |
| 1267 | C23 | — | 2 | 1 | no | — |
| 1268 | C23 | — | 3 | 1 | no | — |
| 1269 | C23 | — | 3 | 1 | no | — |
| 1270 | C23 | — | 3 | 2 | no | — |
| 1271 | C23 | — | 3 | 1 | no | — |
| 1272 | C23 | — | 3 | 1 | no | — |
| 1273 | C23 | — | 3 | 2 | no | — |
| 1274 | C23 | — | 3 | 1 | no | — |
| 1275 | C23 | — | 3 | 1 | no | — |
| 1276 | C23 | — | 6 | 1 | no | — |
| 1277 | C23 | — | 6 | 2 | no | — |
| 1278 | C23 | — | 6 | 1 | no | — |
| 1279 | C23 | — | 6 | 1 | no | — |
| 1280 | C23 | — | 6 | 1 | no | — |
| 1281 | C23 | — | 6 | 1 | no | — |
| 1282 | C23 | — | 8 | 1 | no | — |
| 1283 | C23 | — | 12 | 1 | no | — |
| 1284 | C23 | — | 12 | 2 | no | — |
| 1285 | C23 | — | 12 | 2 | no | — |
| 1286 | C23 | — | 12 | 4 | no | — |
| 1287 | C23 | — | 16 | 1 | no | — |
| 1288 | C23 | — | 24 | 2 | no | — |
| 1289 | C23 | — | 24 | 1 | no | — |
| 1290 | C23 | — | 24 | 1 | no | — |
| 1291 | C23 | — | 24 | 1 | no | — |
| 1292 | C23 | — | 24 | 2 | no | — |
| 1293 | C23 | — | 24 | 2 | no | — |
| 1294 | C23 | — | 24 | 1 | no | — |
| 1295 | C23 | — | 48 | 1 | no | — |
| 1296 | C23 | — | 48 | 1 | no | — |
| 1297 | C23 | — | 48 | 2 | no | — |
| 1298 | C23 | — | 48 | 2 | no | — |
| 1299 | C23 | — | 48 | 4 | no | — |
| 1300 | C23 | — | 48 | 4 | no | — |
| 1301 | C23 | C2×C4⋊S4 | 1 | 1 | yes | characteristic |
| 1302 | Q8 | — | 3 | 2 | no | — |
| 1303 | Q8 | — | 3 | 2 | no | — |
| 1304 | Q8 | — | 3 | 2 | no | — |
| 1305 | Q8 | — | 6 | 2 | no | — |
| 1306 | Q8 | — | 6 | 2 | no | — |
| 1307 | Q8 | — | 6 | 2 | no | — |
| 1308 | Q8 | — | 6 | 2 | no | — |
| 1309 | Q8 | — | 6 | 2 | no | — |
| 1310 | Q8 | — | 12 | 2 | no | — |
| 1311 | Q8 | — | 12 | 1 | no | — |
| 1312 | Q8 | — | 12 | 1 | no | — |
| 1313 | Q8 | C2×C4⋊S4 | 1 | 2 | yes | — |
| 1314 | D4 | — | 3 | 2 | no | — |
| 1315 | D4 | — | 3 | 2 | no | — |
| 1316 | D4 | — | 3 | 2 | no | — |
| 1317 | D4 | — | 3 | 2 | no | — |
| 1318 | D4 | — | 6 | 2 | no | — |
| 1319 | D4 | — | 6 | 2 | no | — |
| 1320 | D4 | — | 6 | 2 | no | — |
| 1321 | D4 | — | 6 | 2 | no | — |
| 1322 | D4 | — | 6 | 2 | no | — |
| 1323 | D4 | — | 6 | 2 | no | — |
| 1324 | D4 | — | 6 | 2 | no | — |
| 1325 | D4 | — | 6 | 2 | no | — |
| 1326 | D4 | — | 6 | 2 | no | — |
| 1327 | D4 | — | 6 | 2 | no | — |
| 1328 | D4 | — | 6 | 2 | no | — |
| 1329 | D4 | — | 6 | 2 | no | — |
| 1330 | D4 | — | 6 | 2 | no | — |
| 1331 | D4 | — | 6 | 2 | no | — |
| 1332 | D4 | — | 6 | 2 | no | — |
| 1333 | D4 | — | 6 | 2 | no | — |
| 1334 | D4 | — | 6 | 2 | no | — |
| 1335 | D4 | — | 6 | 2 | no | — |
| 1336 | D4 | — | 12 | 4 | no | — |
| 1337 | D4 | — | 12 | 2 | no | — |
| 1338 | D4 | — | 12 | 2 | no | — |
| 1339 | D4 | — | 12 | 1 | no | — |
| 1340 | D4 | — | 12 | 1 | no | — |
| 1341 | D4 | — | 12 | 2 | no | — |
| 1342 | D4 | — | 24 | 1 | no | — |
| 1343 | D4 | — | 24 | 2 | no | — |
| 1344 | D4 | — | 24 | 2 | no | — |
| 1345 | D4 | — | 24 | 1 | no | — |
| 1346 | D4 | — | 24 | 1 | no | — |
| 1347 | D4 | — | 24 | 1 | no | — |
| 1348 | D4 | — | 48 | 2 | no | — |
| 1349 | D4 | — | 48 | 1 | no | — |
| 1350 | D4 | — | 48 | 1 | no | — |
| 1351 | D4 | — | 48 | 1 | no | — |
| 1352 | D4 | — | 48 | 1 | no | — |
| 1353 | D4 | — | 48 | 2 | no | — |
| 1354 | D4 | — | 48 | 2 | no | — |
| 1355 | D4 | — | 48 | 2 | no | — |
| 1356 | C2×C4 | — | 3 | 1 | no | — |
| 1357 | C2×C4 | — | 3 | 1 | no | — |
| 1358 | C2×C4 | — | 3 | 2 | no | — |
| 1359 | C2×C4 | — | 3 | 2 | no | — |
| 1360 | C2×C4 | — | 3 | 2 | no | — |
| 1361 | C2×C4 | — | 3 | 2 | no | — |
| 1362 | C2×C4 | — | 3 | 2 | no | — |
| 1363 | C2×C4 | — | 3 | 2 | no | — |
| 1364 | C2×C4 | — | 3 | 1 | no | — |
| 1365 | C2×C4 | — | 3 | 1 | no | — |
| 1366 | C2×C4 | — | 3 | 2 | no | — |
| 1367 | C2×C4 | — | 3 | 1 | no | — |
| 1368 | C2×C4 | — | 3 | 2 | no | — |
| 1369 | C2×C4 | — | 3 | 1 | no | — |
| 1370 | C2×C4 | — | 3 | 2 | no | — |
| 1371 | C2×C4 | — | 3 | 1 | no | — |
| 1372 | C2×C4 | — | 3 | 2 | no | — |
| 1373 | C2×C4 | — | 3 | 1 | no | — |
| 1374 | C2×C4 | — | 3 | 1 | no | — |
| 1375 | C2×C4 | — | 3 | 1 | no | — |
| 1376 | C2×C4 | — | 3 | 1 | no | — |
| 1377 | C2×C4 | — | 6 | 1 | no | — |
| 1378 | C2×C4 | — | 6 | 1 | no | — |
| 1379 | C2×C4 | — | 6 | 2 | no | — |
| 1380 | C2×C4 | — | 6 | 1 | no | — |
| 1381 | C2×C4 | — | 6 | 2 | no | — |
| 1382 | C2×C4 | — | 6 | 2 | no | — |
| 1383 | C2×C4 | — | 6 | 2 | no | — |
| 1384 | C2×C4 | — | 6 | 2 | no | — |
| 1385 | C2×C4 | — | 6 | 1 | no | — |
| 1386 | C2×C4 | — | 6 | 1 | no | — |
| 1387 | C2×C4 | — | 6 | 1 | no | — |
| 1388 | C2×C4 | — | 6 | 1 | no | — |
| 1389 | C2×C4 | — | 6 | 1 | no | — |
| 1390 | C2×C4 | — | 6 | 2 | no | — |
| 1391 | C2×C4 | — | 6 | 1 | no | — |
| 1392 | C2×C4 | — | 6 | 1 | no | — |
| 1393 | C2×C4 | — | 6 | 1 | no | — |
| 1394 | C2×C4 | — | 6 | 1 | no | — |
| 1395 | C2×C4 | — | 6 | 1 | no | — |
| 1396 | C2×C4 | — | 6 | 1 | no | — |
| 1397 | C2×C4 | — | 6 | 1 | no | — |
| 1398 | C2×C4 | — | 12 | 1 | no | — |
| 1399 | C2×C4 | — | 12 | 1 | no | — |
| 1400 | C2×C4 | — | 12 | 2 | no | — |
| 1401 | C2×C4 | — | 12 | 1 | no | — |
| 1402 | C2×C4 | — | 12 | 2 | no | — |
| 1403 | C2×C4 | — | 24 | 1 | no | — |
| 1404 | C2×C4 | — | 24 | 2 | no | — |
| 1405 | C2×C4 | — | 24 | 2 | no | — |
| 1406 | C2×C4 | — | 24 | 1 | no | — |
| 1407 | C2×C4 | — | 48 | 1 | no | — |
| 1408 | C2×C4 | C2×#1020 | 1 | 1 | yes | characteristic |
| 1409 | C8 | — | 3 | 2 | no | — |
| 1410 | C8 | — | 3 | 4 | no | — |
| 1411 | C8 | — | 6 | 2 | no | — |
| 1412 | C8 | — | 12 | 4 | no | — |
| 1413 | C8 | — | 12 | 2 | no | — |
| 1414 | C8 | — | 12 | 2 | no | — |
| 1415 | C8 | C2×#1020 | 1 | 2 | yes | — |
| 1416 | C2×C3 | — | 16 | 1 | no | — |
| 1417 | C2×C3 | — | 32 | 1 | no | — |
| 1418 | D3 | — | 64 | 2 | no | — |
| 1419 | D3 | — | 64 | 1 | no | — |
| 1420 | C22 | — | 3 | 1 | no | — |
| 1421 | C22 | — | 3 | 2 | no | — |
| 1422 | C22 | — | 3 | 2 | no | — |
| 1423 | C22 | — | 3 | 1 | no | — |
| 1424 | C22 | — | 4 | 1 | no | — |
| 1425 | C22 | — | 6 | 1 | no | — |
| 1426 | C22 | — | 6 | 1 | no | — |
| 1427 | C22 | — | 8 | 1 | no | — |
| 1428 | C22 | — | 12 | 1 | no | — |
| 1429 | C22 | — | 12 | 2 | no | — |
| 1430 | C22 | — | 12 | 1 | no | — |
| 1431 | C22 | — | 12 | 1 | no | — |
| 1432 | C22 | — | 12 | 2 | no | — |
| 1433 | C22 | — | 12 | 1 | no | — |
| 1434 | C22 | — | 12 | 1 | no | — |
| 1435 | C22 | — | 12 | 1 | no | — |
| 1436 | C22 | — | 24 | 1 | no | — |
| 1437 | C22 | — | 24 | 1 | no | — |
| 1438 | C22 | — | 24 | 2 | no | — |
| 1439 | C22 | — | 24 | 1 | no | — |
| 1440 | C22 | — | 24 | 1 | no | — |
| 1441 | C22 | — | 24 | 2 | no | — |
| 1442 | C22 | — | 24 | 2 | no | — |
| 1443 | C22 | — | 24 | 1 | no | — |
| 1444 | C22 | — | 24 | 1 | no | — |
| 1445 | C22 | — | 24 | 1 | no | — |
| 1446 | C22 | — | 24 | 1 | no | — |
| 1447 | C22 | — | 24 | 2 | no | — |
| 1448 | C22 | — | 48 | 2 | no | — |
| 1449 | C22 | — | 48 | 2 | no | — |
| 1450 | C22 | — | 48 | 4 | no | — |
| 1451 | C22 | — | 48 | 2 | no | — |
| 1452 | C22 | — | 48 | 4 | no | — |
| 1453 | C22 | C4⋊#1020 | 1 | 1 | yes | characteristic |
| 1454 | C4 | — | 3 | 2 | no | — |
| 1455 | C4 | — | 3 | 1 | no | — |
| 1456 | C4 | — | 3 | 1 | no | — |
| 1457 | C4 | — | 3 | 2 | no | — |
| 1458 | C4 | — | 6 | 1 | no | — |
| 1459 | C4 | — | 6 | 1 | no | — |
| 1460 | C4 | — | 24 | 2 | no | — |
| 1461 | C4 | — | 24 | 1 | no | — |
| 1462 | C4 | — | 24 | 1 | no | — |
| 1463 | C4 | — | 24 | 1 | no | — |
| 1464 | C4 | C4⋊#1020 | 1 | 1 | yes | characteristic |
| 1465 | C4 | C22×#1020 | 1 | 1 | yes | characteristic |
| 1466 | C3 | — | 16 | 1 | no | Sylow |
| 1467 | C2 | — | 2 | 1 | no | — |
| 1468 | C2 | — | 6 | 1 | no | — |
| 1469 | C2 | — | 6 | 1 | no | — |
| 1470 | C2 | — | 6 | 2 | no | — |
| 1471 | C2 | — | 6 | 2 | no | — |
| 1472 | C2 | — | 12 | 1 | no | — |
| 1473 | C2 | — | 12 | 1 | no | — |
| 1474 | C2 | — | 48 | 2 | no | — |
| 1475 | C2 | — | 48 | 1 | no | — |
| 1476 | C2 | C2×C4⋊#1020 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | C2×C4⋊#1020 |
| commutator, cosocle | #5950 | C23 |
| Frattini | C4 | C22×#1020 |
| Fitting | #63076 | D3 |
| hypercenter | M16 | #1020 |
| hypocenter | #997 | C2×D4 |
| LCS | G ▷ #5950 ▷ #997 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ M16 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11715827 | C2 | semidirect |
| 2. C2×#87522 | C2 | semidirect |
| 3. #11715739 | C2 | semidirect |
| 4. #11715738 | C2 | semidirect |
| 5. #11710873 | C2 | semidirect |
| 10. #87522 | C22 | semidirect |
| 12. #87518 | C22 | semidirect |
| 15. #85666 | C22 | semidirect |
| 18. #63076 | D3 | semidirect |
| 59. #3573 | C2×D3 | semidirect |
| 246. #568 | S4 | semidirect |
| 685. #131 | C2×S4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11715827 | 2 |
| C2×#87522 | 2 |
| #11715739 | 2 |
| #11715738 | 2 |
| #11710873 | 2 |
| #6629051 | 3 |
| #85454 | 4 |
| #85443 | 4 |