Finite Group DatabasebetaFinite Group DatabasebetaOrder 3072.
1156 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 1156 conjugacy classes of subgroups — too many to draw. Only its 127 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 | #72342874 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72342873 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72342703 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72342697 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | A4×#2179 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72319230 | — | 3 | 1 | no | maximal, Sylow |
| 7 | #11714124 | — | 2 | 2 | no | — |
| 8 | #11711530 | C22 | 1 | 2 | yes | — |
| 9 | #11711496 | — | 2 | 2 | no | — |
| 10 | #11711481 | C22 | 1 | 1 | yes | characteristic |
| 11 | #11710984 | C22 | 1 | 1 | yes | characteristic |
| 12 | A4×#508 | C4 | 1 | 1 | yes | characteristic |
| 13 | A4×#443 | C22 | 1 | 2 | yes | — |
| 14 | A4×#368 | C4 | 1 | 1 | yes | characteristic |
| 15 | A4×#359 | C4 | 1 | 2 | yes | — |
| 16 | A4×#346 | C22 | 1 | 1 | yes | characteristic |
| 17 | #10707077 | — | 4 | 1 | no | maximal |
| 18 | C22×#2179 | D3 | 1 | 1 | yes | characteristic |
| 19 | #497275 | — | 3 | 2 | no | — |
| 20 | C2×#12068 | — | 3 | 1 | no | — |
| 21 | C2×#12068 | — | 3 | 1 | no | — |
| 22 | #140753 | — | 3 | 1 | no | — |
| 23 | #140753 | — | 3 | 1 | no | — |
| 24 | #136684 | — | 3 | 2 | no | — |
| 25 | #136684 | — | 3 | 2 | no | — |
| 26 | #134662 | — | 3 | 1 | no | — |
| 27 | #129509 | — | 3 | 2 | no | — |
| 28 | #128255 | — | 3 | 1 | no | — |
| 29 | A4×#135 | C2×C4 | 1 | 2 | yes | — |
| 30 | A4×#131 | — | 2 | 2 | no | — |
| 31 | A4×Q32 | C8 | 1 | 1 | yes | characteristic, complemented |
| 32 | A4×SD32 | C8 | 1 | 2 | yes | complemented |
| 33 | A4×D16 | C8 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×A4×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C2×A4×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | A4×#108 | C2×C4 | 1 | 2 | yes | — |
| 37 | A4×#104 | — | 2 | 2 | no | — |
| 38 | C4×C8×A4 | C23 | 1 | 1 | yes | characteristic |
| 39 | #73104 | — | 2 | 2 | no | — |
| 40 | #73104 | — | 4 | 2 | no | — |
| 41 | C2×A4⋊C16 | — | 4 | 2 | no | — |
| 42 | C2×A4⋊C16 | D4 | 1 | 2 | yes | — |
| 43 | C4×A4⋊C8 | — | 2 | 1 | no | — |
| 44 | C3×#2179 | — | 4 | 1 | no | — |
| 45 | #70924 | — | 4 | 2 | no | — |
| 46 | #67767 | — | 4 | 2 | no | — |
| 47 | #67514 | — | 4 | 1 | no | — |
| 48 | #67511 | — | 4 | 1 | no | — |
| 49 | C22×#508 | Dic3 | 1 | 1 | yes | characteristic |
| 50 | C22×#443 | C2×D3 | 1 | 2 | yes | — |
| 51 | C2×#2179 | — | 3 | 1 | no | — |
| 52 | C2×#2179 | — | 3 | 1 | no | — |
| 53 | C2×#2179 | — | 3 | 1 | no | — |
| 54 | C2×#2179 | — | 3 | 2 | no | — |
| 55 | C2×#2179 | — | 3 | 1 | no | — |
| 56 | C2×#2179 | — | 3 | 2 | no | — |
| 57 | C2×#2171 | — | 3 | 2 | no | — |
| 58 | C2×#2171 | — | 3 | 2 | no | — |
| 59 | C22×#368 | Dic3 | 1 | 1 | yes | characteristic |
| 60 | C22×#359 | Dic3 | 1 | 2 | yes | — |
| 61 | #33334 | — | 6 | 2 | no | — |
| 62 | C22×#346 | C2×D3 | 1 | 1 | yes | characteristic |
| 63 | #13196 | — | 3 | 2 | no | — |
| 64 | #13196 | — | 3 | 2 | no | — |
| 65 | #12980 | — | 6 | 2 | no | — |
| 66 | #12980 | — | 6 | 2 | no | — |
| 67 | #12788 | — | 3 | 2 | no | — |
| 68 | #12683 | — | 6 | 2 | no | — |
| 69 | #12599 | — | 3 | 1 | no | — |
| 70 | #12068 | — | 6 | 1 | no | — |
| 71 | #12068 | — | 6 | 1 | no | — |
| 72 | #12068 | — | 6 | 2 | no | — |
| 73 | #12068 | — | 6 | 2 | no | — |
| 74 | #12068 | — | 6 | 1 | no | — |
| 75 | #12068 | — | 6 | 1 | no | — |
| 76 | C2×#1369 | — | 3 | 1 | no | — |
| 77 | C2×#1369 | — | 3 | 1 | no | — |
| 78 | C2×#1336 | — | 3 | 2 | no | — |
| 79 | C2×#1336 | — | 3 | 2 | no | — |
| 80 | C2×#1336 | — | 3 | 2 | no | — |
| 81 | C2×#1336 | — | 3 | 2 | no | — |
| 82 | C2×#1313 | — | 3 | 1 | no | — |
| 83 | C2×#1313 | — | 3 | 1 | no | — |
| 84 | #8144 | — | 3 | 1 | no | — |
| 85 | #7161 | — | 3 | 2 | no | — |
| 86 | #7137 | — | 3 | 1 | no | — |
| 87 | #7137 | — | 3 | 1 | no | — |
| 88 | A4×#41 | — | 2 | 2 | no | — |
| 89 | A4×Q16 | C2×C8 | 1 | 2 | yes | — |
| 90 | A4×SD16 | — | 2 | 2 | no | — |
| 91 | A4×D8 | C2×C8 | 1 | 2 | yes | — |
| 92 | A4×M16 | — | 2 | 2 | no | — |
| 93 | A4×M16 | — | 4 | 2 | no | — |
| 94 | C2×C8×A4 | — | 4 | 2 | no | — |
| 95 | C2×C8×A4 | C22×C4 | 1 | 1 | yes | characteristic |
| 96 | C2×C8×A4 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C42×A4 | #41 | 1 | 1 | yes | characteristic |
| 98 | C2×A4⋊C8 | — | 4 | 1 | no | — |
| 99 | C3×#508 | — | 4 | 1 | no | — |
| 100 | C3×#443 | — | 4 | 2 | no | — |
| 101 | #5140 | — | 8 | 2 | no | — |
| 102 | A4×C16 | — | 2 | 1 | no | — |
| 103 | A4×C16 | C2×C8 | 1 | 1 | yes | characteristic |
| 104 | A4×C16 | C2×C8 | 1 | 1 | yes | characteristic |
| 105 | A4⋊C16 | — | 2 | 2 | no | — |
| 106 | A4⋊C16 | — | 4 | 2 | no | — |
| 107 | C3×#368 | — | 4 | 1 | no | — |
| 108 | C3×#359 | — | 4 | 2 | no | — |
| 109 | C3×#346 | — | 4 | 1 | no | — |
| 110 | #4561 | — | 8 | 2 | no | — |
| 111 | #4463 | — | 4 | 2 | no | — |
| 112 | #4461 | — | 4 | 1 | no | — |
| 113 | #4455 | — | 4 | 1 | no | — |
| 114 | C22×#135 | C2×Dic3 | 1 | 2 | yes | — |
| 115 | C22×#131 | — | 2 | 2 | no | — |
| 116 | C2×#508 | — | 3 | 1 | no | — |
| 117 | C2×#508 | — | 3 | 1 | no | — |
| 118 | C2×#508 | — | 3 | 2 | no | — |
| 119 | C2×#508 | — | 3 | 1 | no | — |
| 120 | C2×#508 | — | 3 | 2 | no | — |
| 121 | C2×#508 | — | 3 | 1 | no | — |
| 122 | C22×Q32 | C3⋊C8 | 1 | 1 | yes | characteristic, complemented |
| 123 | C22×SD32 | C3⋊C8 | 1 | 2 | yes | complemented |
| 124 | C22×D16 | C3⋊C8 | 1 | 1 | yes | characteristic, complemented |
| 125 | C2×#504 | — | 6 | 2 | no | — |
| 126 | C2×#504 | — | 6 | 2 | no | — |
| 127 | C23×C16 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 128 | C23×C16 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 129 | C2×#443 | — | 3 | 2 | no | — |
| 130 | C2×#443 | — | 3 | 2 | no | — |
| 131 | C2×#443 | — | 3 | 2 | no | — |
| 132 | C2×#443 | — | 3 | 2 | no | — |
| 133 | C2×#443 | — | 6 | 2 | no | — |
| 134 | C2×#443 | — | 6 | 2 | no | — |
| 135 | C22×#108 | C2×Dic3 | 1 | 2 | yes | — |
| 136 | C22×#104 | — | 2 | 2 | no | — |
| 137 | C22×C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 138 | #2179 | — | 3 | 1 | no | — |
| 139 | #2179 | — | 3 | 2 | no | — |
| 140 | #2179 | — | 3 | 1 | no | — |
| 141 | #2179 | — | 3 | 2 | no | — |
| 142 | #2179 | — | 3 | 1 | no | — |
| 143 | #2179 | — | 6 | 1 | no | — |
| 144 | #2179 | — | 6 | 1 | no | — |
| 145 | #2179 | — | 6 | 1 | no | — |
| 146 | #2179 | — | 6 | 2 | no | — |
| 147 | #2179 | — | 6 | 2 | no | — |
| 148 | #2179 | S4 | 1 | 1 | yes | characteristic |
| 149 | #2171 | — | 6 | 2 | no | — |
| 150 | #2171 | — | 6 | 2 | no | — |
| 151 | #2171 | — | 6 | 2 | no | — |
| 152 | #2171 | — | 6 | 2 | no | — |
| 153 | #2171 | — | 12 | 2 | no | — |
| 154 | #2171 | — | 12 | 2 | no | — |
| 155 | C2×#368 | — | 3 | 1 | no | — |
| 156 | C2×#368 | — | 3 | 1 | no | — |
| 157 | C2×#368 | — | 3 | 2 | no | — |
| 158 | C2×#364 | — | 3 | 2 | no | — |
| 159 | C2×#364 | — | 3 | 2 | no | — |
| 160 | C2×#359 | — | 3 | 2 | no | — |
| 161 | C2×#359 | — | 3 | 2 | no | — |
| 162 | C2×#359 | — | 3 | 2 | no | — |
| 163 | C2×#359 | — | 3 | 2 | no | — |
| 164 | C2×#350 | — | 6 | 2 | no | — |
| 165 | C2×#350 | — | 6 | 2 | no | — |
| 166 | C2×#350 | — | 6 | 2 | no | — |
| 167 | C2×#350 | — | 6 | 2 | no | — |
| 168 | #2113 | — | 6 | 2 | no | — |
| 169 | #2113 | — | 6 | 2 | no | — |
| 170 | #2113 | — | 12 | 2 | no | — |
| 171 | #2113 | — | 12 | 2 | no | — |
| 172 | #2112 | — | 6 | 2 | no | — |
| 173 | #2112 | — | 12 | 2 | no | — |
| 174 | C2×C22⋊C16 | — | 3 | 2 | no | — |
| 175 | C2×C22⋊C16 | — | 12 | 2 | no | — |
| 176 | C2×#346 | — | 3 | 1 | no | — |
| 177 | C2×#346 | — | 3 | 1 | no | — |
| 178 | C2×#346 | — | 3 | 1 | no | — |
| 179 | C2×#346 | — | 3 | 1 | no | — |
| 180 | C2×#346 | — | 3 | 1 | no | — |
| 181 | C2×#346 | — | 3 | 1 | no | — |
| 182 | C4×C22⋊C8 | — | 6 | 1 | no | — |
| 183 | C2×#322 | — | 3 | 1 | no | — |
| 184 | C2×#322 | — | 3 | 1 | no | — |
| 185 | #1376 | — | 6 | 2 | no | — |
| 186 | #1374 | — | 3 | 2 | no | — |
| 187 | #1369 | — | 6 | 1 | no | — |
| 188 | #1369 | — | 6 | 1 | no | — |
| 189 | #1369 | — | 6 | 1 | no | — |
| 190 | #1369 | — | 6 | 1 | no | — |
| 191 | #1336 | — | 6 | 2 | no | — |
| 192 | #1336 | — | 6 | 2 | no | — |
| 193 | #1336 | — | 6 | 2 | no | — |
| 194 | #1336 | — | 6 | 2 | no | — |
| 195 | #1336 | — | 12 | 2 | no | — |
| 196 | #1336 | — | 12 | 2 | no | — |
| 197 | #1313 | — | 6 | 1 | no | — |
| 198 | #1313 | — | 6 | 1 | no | — |
| 199 | #1313 | — | 6 | 1 | no | — |
| 200 | #1313 | — | 6 | 1 | no | — |
| 201 | #1273 | — | 6 | 1 | no | — |
| 202 | Q8×A4 | — | 2 | 2 | no | — |
| 203 | D4×A4 | — | 2 | 2 | no | — |
| 204 | D4×A4 | — | 4 | 2 | no | — |
| 205 | C2×C4×A4 | — | 2 | 1 | no | — |
| 206 | C2×C4×A4 | — | 4 | 2 | no | — |
| 207 | C2×C4×A4 | C4×D4 | 1 | 1 | yes | characteristic |
| 208 | C3×#135 | — | 4 | 2 | no | — |
| 209 | C3×#131 | — | 8 | 2 | no | — |
| 210 | C8×A4 | — | 4 | 2 | no | — |
| 211 | C8×A4 | C22×C8 | 1 | 1 | yes | characteristic |
| 212 | C8×A4 | #131 | 1 | 1 | yes | characteristic |
| 213 | C8×A4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 214 | A4⋊C8 | — | 8 | 1 | no | — |
| 215 | C3×Q32 | — | 4 | 1 | no | — |
| 216 | C3×SD32 | — | 4 | 2 | no | — |
| 217 | C3×D16 | — | 4 | 1 | no | — |
| 218 | C2×C3×C16 | — | 4 | 1 | no | — |
| 219 | C2×C3×C16 | — | 4 | 1 | no | — |
| 220 | C3×#108 | — | 4 | 2 | no | — |
| 221 | C3×#104 | — | 8 | 2 | no | — |
| 222 | C3×C4×C8 | — | 4 | 1 | no | — |
| 223 | #812 | — | 8 | 2 | no | — |
| 224 | #812 | — | 16 | 2 | no | — |
| 225 | C2×C3⋊C16 | — | 4 | 2 | no | — |
| 226 | C2×C3⋊C16 | — | 16 | 2 | no | — |
| 227 | C4×C3⋊C8 | — | 8 | 1 | no | — |
| 228 | C22×#41 | — | 2 | 2 | no | — |
| 229 | C2×#135 | — | 3 | 2 | no | — |
| 230 | C2×#135 | — | 3 | 2 | no | — |
| 231 | C2×#135 | — | 3 | 2 | no | — |
| 232 | C2×#135 | — | 3 | 2 | no | — |
| 233 | C2×#135 | — | 6 | 2 | no | — |
| 234 | C2×#135 | — | 6 | 2 | no | — |
| 235 | C22×Q16 | C2×C3⋊C8 | 1 | 2 | yes | — |
| 236 | C22×SD16 | — | 2 | 2 | no | — |
| 237 | C22×D8 | C2×C3⋊C8 | 1 | 2 | yes | — |
| 238 | C2×#131 | — | 6 | 2 | no | — |
| 239 | C2×#131 | — | 6 | 2 | no | — |
| 240 | C2×#131 | — | 6 | 2 | no | — |
| 241 | C2×#131 | — | 6 | 2 | no | — |
| 242 | C2×#131 | — | 12 | 2 | no | — |
| 243 | C2×#131 | — | 12 | 2 | no | — |
| 244 | C22×M16 | — | 2 | 2 | no | — |
| 245 | C22×M16 | — | 4 | 2 | no | — |
| 246 | C23×C8 | — | 4 | 2 | no | — |
| 247 | C23×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 248 | C23×C8 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 249 | C22×C42 | #237 | 1 | 1 | yes | characteristic |
| 250 | #508 | — | 3 | 2 | no | — |
| 251 | #508 | — | 3 | 1 | no | — |
| 252 | #508 | — | 3 | 2 | no | — |
| 253 | #508 | — | 3 | 1 | no | — |
| 254 | #508 | — | 3 | 1 | no | — |
| 255 | #508 | — | 6 | 1 | no | — |
| 256 | #508 | — | 6 | 1 | no | — |
| 257 | #508 | — | 6 | 1 | no | — |
| 258 | #508 | — | 6 | 2 | no | — |
| 259 | #508 | — | 6 | 2 | no | — |
| 260 | #508 | SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 261 | C2×Q32 | — | 3 | 1 | no | — |
| 262 | C2×Q32 | — | 3 | 1 | no | — |
| 263 | C2×Q32 | — | 3 | 2 | no | — |
| 264 | C2×SD32 | — | 3 | 2 | no | — |
| 265 | C2×SD32 | — | 3 | 2 | no | — |
| 266 | C2×SD32 | — | 3 | 2 | no | — |
| 267 | C2×SD32 | — | 3 | 2 | no | — |
| 268 | C2×D16 | — | 3 | 1 | no | — |
| 269 | C2×D16 | — | 3 | 1 | no | — |
| 270 | C2×D16 | — | 3 | 2 | no | — |
| 271 | #504 | — | 12 | 2 | no | — |
| 272 | #504 | — | 12 | 2 | no | — |
| 273 | #504 | — | 12 | 2 | no | — |
| 274 | #504 | — | 12 | 2 | no | — |
| 275 | #504 | — | 24 | 2 | no | — |
| 276 | #504 | — | 24 | 2 | no | — |
| 277 | C2×M32 | — | 6 | 2 | no | — |
| 278 | C2×M32 | — | 6 | 2 | no | — |
| 279 | C2×M32 | — | 12 | 2 | no | — |
| 280 | C2×M32 | — | 12 | 2 | no | — |
| 281 | C22×C16 | — | 2 | 1 | no | — |
| 282 | C22×C16 | — | 3 | 1 | no | — |
| 283 | C22×C16 | — | 3 | 1 | no | — |
| 284 | C22×C16 | — | 3 | 1 | no | — |
| 285 | C22×C16 | — | 3 | 1 | no | — |
| 286 | C22×C16 | — | 3 | 1 | no | — |
| 287 | C22×C16 | — | 3 | 1 | no | — |
| 288 | C22×C16 | — | 3 | 2 | no | — |
| 289 | C22×C16 | — | 3 | 2 | no | — |
| 290 | C22×C16 | — | 6 | 1 | no | — |
| 291 | C22×C16 | — | 12 | 2 | no | — |
| 292 | C22×C16 | — | 12 | 2 | no | — |
| 293 | C22×C16 | C2×C3⋊C8 | 1 | 1 | yes | characteristic |
| 294 | C22×C16 | C2×C3⋊C8 | 1 | 1 | yes | characteristic |
| 295 | #443 | — | 3 | 2 | no | — |
| 296 | #443 | — | 3 | 2 | no | — |
| 297 | #443 | — | 3 | 2 | no | — |
| 298 | #443 | — | 6 | 2 | no | — |
| 299 | #443 | — | 6 | 2 | no | — |
| 300 | #443 | — | 6 | 2 | no | — |
| 301 | #443 | — | 6 | 2 | no | — |
| 302 | #443 | — | 6 | 2 | no | — |
| 303 | #443 | — | 12 | 2 | no | — |
| 304 | #443 | — | 12 | 2 | no | — |
| 305 | #443 | C2×S4 | 1 | 2 | yes | — |
| 306 | C2×#108 | — | 3 | 2 | no | — |
| 307 | C2×#108 | — | 3 | 2 | no | — |
| 308 | C2×#108 | — | 6 | 2 | no | — |
| 309 | C2×#104 | — | 6 | 2 | no | — |
| 310 | C2×#104 | — | 6 | 2 | no | — |
| 311 | C2×#104 | — | 6 | 2 | no | — |
| 312 | C2×#104 | — | 6 | 2 | no | — |
| 313 | C2×C22⋊C8 | — | 12 | 1 | no | — |
| 314 | C2×C4×C8 | — | 3 | 1 | no | — |
| 315 | C2×C4×C8 | — | 3 | 1 | no | — |
| 316 | C2×C4×C8 | — | 3 | 1 | no | — |
| 317 | C2×C4×C8 | — | 3 | 1 | no | — |
| 318 | C2×C4×C8 | — | 6 | 1 | no | — |
| 319 | C2×C4×C8 | — | 6 | 1 | no | — |
| 320 | #368 | — | 3 | 1 | no | — |
| 321 | #368 | — | 3 | 2 | no | — |
| 322 | #368 | — | 6 | 1 | no | — |
| 323 | #368 | SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 324 | #364 | — | 6 | 2 | no | — |
| 325 | #364 | — | 6 | 2 | no | — |
| 326 | #364 | — | 6 | 2 | no | — |
| 327 | #364 | — | 6 | 2 | no | — |
| 328 | #359 | — | 3 | 2 | no | — |
| 329 | #359 | — | 3 | 2 | no | — |
| 330 | #359 | — | 3 | 2 | no | — |
| 331 | #359 | — | 6 | 2 | no | — |
| 332 | #359 | SL(2,ℤ/4) | 1 | 2 | yes | — |
| 333 | #350 | — | 12 | 2 | no | — |
| 334 | #350 | — | 12 | 2 | no | — |
| 335 | #350 | — | 12 | 2 | no | — |
| 336 | #350 | — | 12 | 2 | no | — |
| 337 | #350 | — | 24 | 2 | no | — |
| 338 | #350 | — | 24 | 2 | no | — |
| 339 | C22⋊C16 | — | 6 | 2 | no | — |
| 340 | C22⋊C16 | — | 6 | 2 | no | — |
| 341 | C22⋊C16 | — | 12 | 2 | no | — |
| 342 | C22⋊C16 | — | 12 | 2 | no | — |
| 343 | C22⋊C16 | — | 12 | 2 | no | — |
| 344 | C22⋊C16 | — | 12 | 2 | no | — |
| 345 | C22⋊C16 | — | 12 | 2 | no | — |
| 346 | C22⋊C16 | — | 12 | 2 | no | — |
| 347 | #346 | — | 3 | 1 | no | — |
| 348 | #346 | — | 3 | 1 | no | — |
| 349 | #346 | — | 3 | 1 | no | — |
| 350 | #346 | — | 6 | 1 | no | — |
| 351 | #346 | — | 6 | 1 | no | — |
| 352 | #346 | — | 6 | 1 | no | — |
| 353 | #346 | — | 6 | 1 | no | — |
| 354 | #346 | — | 6 | 1 | no | — |
| 355 | #346 | C2×S4 | 1 | 1 | yes | characteristic |
| 356 | #336 | — | 12 | 1 | no | — |
| 357 | #322 | — | 6 | 1 | no | — |
| 358 | #322 | — | 6 | 1 | no | — |
| 359 | #322 | — | 6 | 1 | no | — |
| 360 | #322 | — | 6 | 1 | no | — |
| 361 | C22×A4 | — | 4 | 2 | no | — |
| 362 | C22×A4 | #444 | 1 | 1 | yes | characteristic |
| 363 | C3×#41 | — | 8 | 2 | no | — |
| 364 | C4×A4 | — | 4 | 1 | no | — |
| 365 | C4×A4 | — | 4 | 2 | no | — |
| 366 | C4×A4 | C8×D4 | 1 | 1 | yes | characteristic |
| 367 | C4×A4 | #442 | 1 | 1 | yes | characteristic |
| 368 | C3×Q16 | — | 4 | 2 | no | — |
| 369 | C3×SD16 | — | 8 | 2 | no | — |
| 370 | C3×D8 | — | 4 | 2 | no | — |
| 371 | C3×M16 | — | 8 | 2 | no | — |
| 372 | C3×M16 | — | 16 | 2 | no | — |
| 373 | C2×C3×C8 | — | 4 | 1 | no | — |
| 374 | C2×C3×C8 | — | 4 | 1 | no | — |
| 375 | C2×C3×C8 | — | 16 | 2 | no | — |
| 376 | C3×C42 | — | 4 | 1 | no | — |
| 377 | C2×C3⋊C8 | — | 16 | 1 | no | — |
| 378 | C3×C16 | — | 4 | 1 | no | — |
| 379 | C3×C16 | — | 4 | 1 | no | — |
| 380 | C3×C16 | — | 8 | 1 | no | — |
| 381 | C3⋊C16 | — | 8 | 2 | no | — |
| 382 | C3⋊C16 | — | 16 | 2 | no | — |
| 383 | C2×#41 | — | 6 | 2 | no | — |
| 384 | C2×#41 | — | 6 | 2 | no | — |
| 385 | C2×#41 | — | 6 | 2 | no | — |
| 386 | C2×#41 | — | 6 | 2 | no | — |
| 387 | C2×#41 | — | 12 | 2 | no | — |
| 388 | C2×#41 | — | 12 | 2 | no | — |
| 389 | C22×Q8 | — | 2 | 2 | no | — |
| 390 | C22×D4 | — | 2 | 2 | no | — |
| 391 | C22×D4 | — | 4 | 2 | no | — |
| 392 | C23×C4 | — | 2 | 1 | no | — |
| 393 | C23×C4 | — | 4 | 2 | no | — |
| 394 | C23×C4 | D4×Dic3 | 1 | 1 | yes | characteristic |
| 395 | #135 | — | 3 | 2 | no | — |
| 396 | #135 | — | 3 | 2 | no | — |
| 397 | #135 | — | 3 | 2 | no | — |
| 398 | #135 | — | 6 | 2 | no | — |
| 399 | #135 | — | 6 | 2 | no | — |
| 400 | #135 | — | 6 | 2 | no | — |
| 401 | #135 | — | 6 | 2 | no | — |
| 402 | #135 | — | 6 | 2 | no | — |
| 403 | #135 | — | 12 | 2 | no | — |
| 404 | #135 | — | 12 | 2 | no | — |
| 405 | #135 | C2×SL(2,ℤ/4) | 1 | 2 | yes | — |
| 406 | C2×Q16 | — | 3 | 2 | no | — |
| 407 | C2×Q16 | — | 3 | 2 | no | — |
| 408 | C2×Q16 | — | 6 | 2 | no | — |
| 409 | C2×SD16 | — | 6 | 2 | no | — |
| 410 | C2×SD16 | — | 6 | 2 | no | — |
| 411 | C2×SD16 | — | 6 | 2 | no | — |
| 412 | C2×SD16 | — | 6 | 2 | no | — |
| 413 | C2×D8 | — | 3 | 2 | no | — |
| 414 | C2×D8 | — | 3 | 2 | no | — |
| 415 | C2×D8 | — | 6 | 2 | no | — |
| 416 | #131 | — | 2 | 2 | no | — |
| 417 | #131 | — | 6 | 2 | no | — |
| 418 | #131 | — | 6 | 2 | no | — |
| 419 | #131 | — | 6 | 2 | no | — |
| 420 | #131 | — | 12 | 2 | no | — |
| 421 | #131 | — | 12 | 2 | no | — |
| 422 | #131 | — | 12 | 2 | no | — |
| 423 | #131 | — | 12 | 2 | no | — |
| 424 | #131 | — | 12 | 2 | no | — |
| 425 | #131 | — | 24 | 2 | no | — |
| 426 | #131 | — | 24 | 2 | no | — |
| 427 | C2×M16 | — | 6 | 2 | no | — |
| 428 | C2×M16 | — | 6 | 2 | no | — |
| 429 | C2×M16 | — | 12 | 2 | no | — |
| 430 | C2×M16 | — | 12 | 2 | no | — |
| 431 | C2×M16 | — | 12 | 2 | no | — |
| 432 | C2×M16 | — | 12 | 2 | no | — |
| 433 | C2×M16 | — | 12 | 2 | no | — |
| 434 | C22×C8 | — | 3 | 1 | no | — |
| 435 | C22×C8 | — | 3 | 1 | no | — |
| 436 | C22×C8 | — | 3 | 1 | no | — |
| 437 | C22×C8 | — | 3 | 2 | no | — |
| 438 | C22×C8 | — | 3 | 1 | no | — |
| 439 | C22×C8 | — | 3 | 1 | no | — |
| 440 | C22×C8 | — | 3 | 1 | no | — |
| 441 | C22×C8 | — | 4 | 2 | no | — |
| 442 | C22×C8 | — | 12 | 2 | no | — |
| 443 | C22×C8 | — | 12 | 2 | no | — |
| 444 | C22×C8 | — | 12 | 2 | no | — |
| 445 | C22×C8 | — | 12 | 2 | no | — |
| 446 | C22×C8 | — | 12 | 1 | no | — |
| 447 | C22×C8 | — | 12 | 1 | no | — |
| 448 | C22×C8 | #911 | 1 | 2 | yes | — |
| 449 | C22×C8 | C22×C3⋊C8 | 1 | 1 | yes | characteristic |
| 450 | C22×C8 | #948 | 1 | 1 | yes | characteristic |
| 451 | C2×C42 | — | 3 | 1 | no | — |
| 452 | C2×C42 | — | 3 | 1 | no | — |
| 453 | C2×C42 | — | 6 | 1 | no | — |
| 454 | Q32 | — | 3 | 2 | no | — |
| 455 | Q32 | — | 3 | 1 | no | — |
| 456 | Q32 | — | 6 | 1 | no | — |
| 457 | Q32 | A4⋊C8 | 1 | 1 | yes | characteristic, complemented |
| 458 | SD32 | — | 3 | 2 | no | — |
| 459 | SD32 | — | 3 | 2 | no | — |
| 460 | SD32 | — | 3 | 2 | no | — |
| 461 | SD32 | — | 6 | 2 | no | — |
| 462 | SD32 | A4⋊C8 | 1 | 2 | yes | complemented |
| 463 | D16 | — | 3 | 2 | no | — |
| 464 | D16 | — | 3 | 1 | no | — |
| 465 | D16 | — | 6 | 1 | no | — |
| 466 | D16 | A4⋊C8 | 1 | 1 | yes | characteristic, complemented |
| 467 | M32 | — | 12 | 2 | no | — |
| 468 | M32 | — | 12 | 2 | no | — |
| 469 | M32 | — | 12 | 2 | no | — |
| 470 | M32 | — | 12 | 2 | no | — |
| 471 | M32 | — | 24 | 2 | no | — |
| 472 | M32 | — | 24 | 2 | no | — |
| 473 | M32 | — | 24 | 2 | no | — |
| 474 | M32 | — | 24 | 2 | no | — |
| 475 | C2×C16 | — | 3 | 1 | no | — |
| 476 | C2×C16 | — | 3 | 1 | no | — |
| 477 | C2×C16 | — | 3 | 1 | no | — |
| 478 | C2×C16 | — | 3 | 1 | no | — |
| 479 | C2×C16 | — | 3 | 1 | no | — |
| 480 | C2×C16 | — | 3 | 1 | no | — |
| 481 | C2×C16 | — | 3 | 1 | no | — |
| 482 | C2×C16 | — | 3 | 1 | no | — |
| 483 | C2×C16 | — | 6 | 1 | no | — |
| 484 | C2×C16 | — | 6 | 1 | no | — |
| 485 | C2×C16 | — | 6 | 1 | no | — |
| 486 | C2×C16 | — | 6 | 1 | no | — |
| 487 | C2×C16 | — | 6 | 1 | no | — |
| 488 | C2×C16 | — | 6 | 2 | no | — |
| 489 | C2×C16 | — | 6 | 2 | no | — |
| 490 | C2×C16 | — | 6 | 2 | no | — |
| 491 | C2×C16 | — | 6 | 2 | no | — |
| 492 | C2×C16 | — | 6 | 2 | no | — |
| 493 | C2×C16 | — | 6 | 2 | no | — |
| 494 | C2×C16 | — | 12 | 2 | no | — |
| 495 | C2×C16 | — | 12 | 2 | no | — |
| 496 | C2×C16 | — | 24 | 2 | no | — |
| 497 | C2×C16 | — | 24 | 2 | no | — |
| 498 | C2×C16 | — | 24 | 2 | no | — |
| 499 | C2×C16 | — | 24 | 2 | no | — |
| 500 | C2×C16 | C2×SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 501 | C2×C16 | C2×SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 502 | #108 | — | 3 | 2 | no | — |
| 503 | #108 | — | 6 | 2 | no | — |
| 504 | #108 | — | 6 | 2 | no | — |
| 505 | #108 | C2×SL(2,ℤ/4) | 1 | 2 | yes | — |
| 506 | #104 | — | 2 | 2 | no | — |
| 507 | #104 | — | 6 | 2 | no | — |
| 508 | #104 | — | 6 | 2 | no | — |
| 509 | #104 | — | 6 | 2 | no | — |
| 510 | #104 | — | 12 | 2 | no | — |
| 511 | C22⋊C8 | — | 24 | 1 | no | — |
| 512 | C22⋊C8 | — | 24 | 1 | no | — |
| 513 | C4×C8 | — | 3 | 1 | no | — |
| 514 | C4×C8 | — | 3 | 1 | no | — |
| 515 | C4×C8 | — | 3 | 1 | no | — |
| 516 | C4×C8 | — | 6 | 1 | no | — |
| 517 | C4×C8 | — | 12 | 1 | no | — |
| 518 | C4×C8 | — | 12 | 1 | no | — |
| 519 | C4×C8 | — | 12 | 1 | no | — |
| 520 | C4×C8 | — | 12 | 1 | no | — |
| 521 | C4×C8 | C22×S4 | 1 | 1 | yes | characteristic |
| 522 | C2×A4 | — | 2 | 1 | no | — |
| 523 | C2×A4 | — | 8 | 2 | no | — |
| 524 | C2×A4 | #1580 | 1 | 1 | yes | characteristic |
| 525 | C3×Q8 | — | 8 | 2 | no | — |
| 526 | C3×D4 | — | 8 | 2 | no | — |
| 527 | C3×D4 | — | 16 | 2 | no | — |
| 528 | C2×C3×C4 | — | 4 | 1 | no | — |
| 529 | C2×C3×C4 | — | 8 | 1 | no | — |
| 530 | C2×C3×C4 | — | 16 | 2 | no | — |
| 531 | C3×C8 | — | 4 | 1 | no | — |
| 532 | C3×C8 | — | 4 | 2 | no | — |
| 533 | C3×C8 | — | 4 | 1 | no | — |
| 534 | C3×C8 | — | 16 | 2 | no | — |
| 535 | C3⋊C8 | — | 32 | 1 | no | — |
| 536 | C24 | — | 4 | 2 | no | — |
| 537 | C24 | #5197 | 1 | 1 | yes | characteristic |
| 538 | #41 | — | 2 | 2 | no | — |
| 539 | #41 | — | 6 | 2 | no | — |
| 540 | #41 | — | 6 | 2 | no | — |
| 541 | #41 | — | 6 | 2 | no | — |
| 542 | #41 | — | 12 | 2 | no | — |
| 543 | #41 | — | 12 | 2 | no | — |
| 544 | #41 | — | 12 | 2 | no | — |
| 545 | #41 | — | 12 | 2 | no | — |
| 546 | #41 | — | 12 | 2 | no | — |
| 547 | #41 | — | 24 | 2 | no | — |
| 548 | #41 | — | 24 | 2 | no | — |
| 549 | C2×Q8 | — | 6 | 2 | no | — |
| 550 | C2×Q8 | — | 6 | 2 | no | — |
| 551 | C2×Q8 | — | 12 | 2 | no | — |
| 552 | C2×D4 | — | 6 | 2 | no | — |
| 553 | C2×D4 | — | 6 | 2 | no | — |
| 554 | C2×D4 | — | 12 | 2 | no | — |
| 555 | C2×D4 | — | 12 | 2 | no | — |
| 556 | C2×D4 | — | 12 | 2 | no | — |
| 557 | C2×D4 | — | 12 | 2 | no | — |
| 558 | C2×D4 | — | 12 | 2 | no | — |
| 559 | C22×C4 | — | 3 | 1 | no | — |
| 560 | C22×C4 | — | 3 | 1 | no | — |
| 561 | C22×C4 | — | 3 | 1 | no | — |
| 562 | C22×C4 | — | 3 | 1 | no | — |
| 563 | C22×C4 | — | 4 | 1 | no | — |
| 564 | C22×C4 | — | 4 | 2 | no | — |
| 565 | C22×C4 | — | 6 | 1 | no | — |
| 566 | C22×C4 | — | 6 | 1 | no | — |
| 567 | C22×C4 | — | 12 | 2 | no | — |
| 568 | C22×C4 | — | 12 | 2 | no | — |
| 569 | C22×C4 | — | 12 | 2 | no | — |
| 570 | C22×C4 | — | 12 | 2 | no | — |
| 571 | C22×C4 | — | 12 | 1 | no | — |
| 572 | C22×C4 | D4×C3⋊C8 | 1 | 1 | yes | characteristic |
| 573 | C22×C4 | #5152 | 1 | 1 | yes | characteristic |
| 574 | Q16 | — | 3 | 2 | no | — |
| 575 | Q16 | — | 6 | 2 | no | — |
| 576 | Q16 | — | 6 | 2 | no | — |
| 577 | Q16 | C2×A4⋊C8 | 1 | 2 | yes | — |
| 578 | SD16 | — | 2 | 2 | no | — |
| 579 | SD16 | — | 6 | 2 | no | — |
| 580 | SD16 | — | 6 | 2 | no | — |
| 581 | SD16 | — | 6 | 2 | no | — |
| 582 | SD16 | — | 12 | 2 | no | — |
| 583 | D8 | — | 3 | 2 | no | — |
| 584 | D8 | — | 6 | 2 | no | — |
| 585 | D8 | — | 6 | 2 | no | — |
| 586 | D8 | C2×A4⋊C8 | 1 | 2 | yes | — |
| 587 | M16 | — | 2 | 2 | no | — |
| 588 | M16 | — | 4 | 2 | no | — |
| 589 | M16 | — | 6 | 2 | no | — |
| 590 | M16 | — | 12 | 2 | no | — |
| 591 | M16 | — | 12 | 2 | no | — |
| 592 | M16 | — | 12 | 2 | no | — |
| 593 | M16 | — | 12 | 2 | no | — |
| 594 | M16 | — | 12 | 2 | no | — |
| 595 | M16 | — | 24 | 2 | no | — |
| 596 | C2×C8 | — | 3 | 1 | no | — |
| 597 | C2×C8 | — | 3 | 1 | no | — |
| 598 | C2×C8 | — | 3 | 1 | no | — |
| 599 | C2×C8 | — | 3 | 1 | no | — |
| 600 | C2×C8 | — | 3 | 2 | no | — |
| 601 | C2×C8 | — | 3 | 2 | no | — |
| 602 | C2×C8 | — | 3 | 1 | no | — |
| 603 | C2×C8 | — | 3 | 1 | no | — |
| 604 | C2×C8 | — | 3 | 2 | no | — |
| 605 | C2×C8 | — | 3 | 1 | no | — |
| 606 | C2×C8 | — | 3 | 1 | no | — |
| 607 | C2×C8 | — | 4 | 2 | no | — |
| 608 | C2×C8 | — | 6 | 1 | no | — |
| 609 | C2×C8 | — | 6 | 1 | no | — |
| 610 | C2×C8 | — | 12 | 2 | no | — |
| 611 | C2×C8 | — | 12 | 2 | no | — |
| 612 | C2×C8 | — | 12 | 2 | no | — |
| 613 | C2×C8 | — | 12 | 2 | no | — |
| 614 | C2×C8 | — | 12 | 2 | no | — |
| 615 | C2×C8 | — | 24 | 2 | no | — |
| 616 | C2×C8 | — | 24 | 1 | no | — |
| 617 | C2×C8 | — | 24 | 1 | no | — |
| 618 | C2×C8 | — | 24 | 1 | no | — |
| 619 | C2×C8 | — | 24 | 1 | no | — |
| 620 | C2×C8 | — | 24 | 1 | no | — |
| 621 | C2×C8 | — | 24 | 1 | no | — |
| 622 | C2×C8 | D4×S4 | 1 | 1 | yes | characteristic |
| 623 | C2×C8 | C22×SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 624 | C42 | — | 3 | 1 | no | — |
| 625 | C42 | — | 6 | 1 | no | — |
| 626 | C42 | — | 6 | 1 | no | — |
| 627 | C42 | #5914 | 1 | 1 | yes | characteristic |
| 628 | C16 | — | 2 | 1 | no | — |
| 629 | C16 | — | 3 | 1 | no | — |
| 630 | C16 | — | 3 | 1 | no | — |
| 631 | C16 | — | 6 | 1 | no | — |
| 632 | C16 | — | 12 | 2 | no | — |
| 633 | C16 | — | 12 | 2 | no | — |
| 634 | C16 | — | 24 | 2 | no | — |
| 635 | C16 | — | 24 | 2 | no | — |
| 636 | C16 | C2×A4⋊C8 | 1 | 1 | yes | characteristic |
| 637 | C16 | C2×A4⋊C8 | 1 | 1 | yes | characteristic |
| 638 | C22×C3 | — | 4 | 1 | no | — |
| 639 | C22×C3 | — | 16 | 2 | no | — |
| 640 | A4 | #12068 | 1 | 1 | yes | characteristic, complemented |
| 641 | C3×C4 | — | 4 | 1 | no | — |
| 642 | C3×C4 | — | 4 | 1 | no | — |
| 643 | C3×C4 | — | 16 | 2 | no | — |
| 644 | C3×C4 | — | 16 | 1 | no | — |
| 645 | C23 | — | 2 | 1 | no | — |
| 646 | C23 | — | 3 | 1 | no | — |
| 647 | C23 | — | 3 | 1 | no | — |
| 648 | C23 | — | 6 | 1 | no | — |
| 649 | C23 | — | 8 | 2 | no | — |
| 650 | C23 | — | 12 | 2 | no | — |
| 651 | C23 | — | 12 | 2 | no | — |
| 652 | C23 | — | 24 | 2 | no | — |
| 653 | C23 | #70878 | 1 | 1 | yes | characteristic |
| 654 | Q8 | — | 2 | 2 | no | — |
| 655 | Q8 | — | 6 | 2 | no | — |
| 656 | Q8 | — | 12 | 2 | no | — |
| 657 | Q8 | — | 12 | 2 | no | — |
| 658 | D4 | — | 2 | 2 | no | — |
| 659 | D4 | — | 4 | 2 | no | — |
| 660 | D4 | — | 6 | 2 | no | — |
| 661 | D4 | — | 12 | 2 | no | — |
| 662 | D4 | — | 12 | 2 | no | — |
| 663 | D4 | — | 12 | 2 | no | — |
| 664 | D4 | — | 12 | 2 | no | — |
| 665 | D4 | — | 12 | 2 | no | — |
| 666 | D4 | — | 24 | 2 | no | — |
| 667 | C2×C4 | — | 2 | 1 | no | — |
| 668 | C2×C4 | — | 3 | 1 | no | — |
| 669 | C2×C4 | — | 3 | 1 | no | — |
| 670 | C2×C4 | — | 3 | 1 | no | — |
| 671 | C2×C4 | — | 3 | 1 | no | — |
| 672 | C2×C4 | — | 3 | 1 | no | — |
| 673 | C2×C4 | — | 3 | 1 | no | — |
| 674 | C2×C4 | — | 3 | 1 | no | — |
| 675 | C2×C4 | — | 4 | 2 | no | — |
| 676 | C2×C4 | — | 6 | 1 | no | — |
| 677 | C2×C4 | — | 6 | 1 | no | — |
| 678 | C2×C4 | — | 12 | 2 | no | — |
| 679 | C2×C4 | — | 12 | 2 | no | — |
| 680 | C2×C4 | — | 12 | 2 | no | — |
| 681 | C2×C4 | — | 12 | 1 | no | — |
| 682 | C2×C4 | — | 12 | 1 | no | — |
| 683 | C2×C4 | — | 12 | 2 | no | — |
| 684 | C2×C4 | — | 12 | 2 | no | — |
| 685 | C2×C4 | — | 12 | 1 | no | — |
| 686 | C2×C4 | — | 12 | 1 | no | — |
| 687 | C2×C4 | — | 24 | 2 | no | — |
| 688 | C2×C4 | D4×SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 689 | C8 | — | 3 | 1 | no | — |
| 690 | C8 | — | 3 | 1 | no | — |
| 691 | C8 | — | 3 | 2 | no | — |
| 692 | C8 | — | 4 | 2 | no | — |
| 693 | C8 | — | 12 | 2 | no | — |
| 694 | C8 | — | 48 | 1 | no | — |
| 695 | C8 | — | 48 | 1 | no | — |
| 696 | C8 | #85457 | 1 | 2 | yes | — |
| 697 | C8 | C22×A4⋊C8 | 1 | 1 | yes | characteristic |
| 698 | C8 | #85511 | 1 | 1 | yes | characteristic |
| 699 | C2×C3 | — | 4 | 1 | no | — |
| 700 | C2×C3 | — | 8 | 1 | no | — |
| 701 | C2×C3 | — | 32 | 2 | no | — |
| 702 | C22 | — | 3 | 1 | no | — |
| 703 | C22 | — | 3 | 1 | no | — |
| 704 | C22 | — | 3 | 1 | no | — |
| 705 | C22 | — | 4 | 2 | no | — |
| 706 | C22 | — | 6 | 1 | no | — |
| 707 | C22 | — | 6 | 1 | no | — |
| 708 | C22 | — | 6 | 1 | no | — |
| 709 | C22 | — | 6 | 1 | no | — |
| 710 | C22 | — | 12 | 2 | no | — |
| 711 | C22 | — | 24 | 2 | no | — |
| 712 | C22 | — | 24 | 2 | no | — |
| 713 | C22 | — | 24 | 2 | no | — |
| 714 | C22 | — | 24 | 2 | no | — |
| 715 | C22 | #10707077 | 1 | 1 | yes | characteristic, complemented |
| 716 | C22 | #11712942 | 1 | 1 | yes | characteristic |
| 717 | C4 | — | 3 | 1 | no | — |
| 718 | C4 | — | 3 | 1 | no | — |
| 719 | C4 | — | 4 | 1 | no | — |
| 720 | C4 | — | 4 | 2 | no | — |
| 721 | C4 | — | 12 | 1 | no | — |
| 722 | C4 | — | 12 | 2 | no | — |
| 723 | C4 | D4×A4⋊C8 | 1 | 1 | yes | characteristic |
| 724 | C4 | #11712923 | 1 | 1 | yes | characteristic |
| 725 | C3 | — | 4 | 1 | no | Sylow |
| 726 | C2 | — | 2 | 1 | no | — |
| 727 | C2 | — | 3 | 1 | no | — |
| 728 | C2 | — | 3 | 1 | no | — |
| 729 | C2 | — | 6 | 1 | no | — |
| 730 | C2 | — | 8 | 2 | no | — |
| 731 | C2 | — | 24 | 2 | no | — |
| 732 | C2 | #72342710 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72342874 | C2 | semidirect |
| 2. #72342873 | C2 | semidirect |
| 3. #72342703 | C2 | semidirect |
| 4. #72342697 | C2 | semidirect |
| 31. A4×Q32 | C8 | semidirect |
| 32. A4×SD32 | C8 | semidirect |
| 33. A4×D16 | C8 | semidirect |
| 122. C22×Q32 | C3⋊C8 | semidirect |
| 123. C22×SD32 | C3⋊C8 | semidirect |
| 124. C22×D16 | C3⋊C8 | semidirect |
| 457. Q32 | A4⋊C8 | semidirect |
| 462. SD32 | A4⋊C8 | semidirect |
| 466. D16 | A4⋊C8 | semidirect |
| 640. A4 | #12068 | semidirect |
| 715. C22 | #10707077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72342874 | 2 |
| #72342873 | 2 |
| #72342703 | 2 |
| #72342697 | 2 |
| A4×#2179 | 2 |
| #72319230 | 3 |
| #10707077 | 4 |