← #25976086
Subgroups — #25976086
Order 11008.
1774 conjugacy classes of subgroups.
The subgroup lattice has 448 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #19148519 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #19147199 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #19147168 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #19146973 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #19144578 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #19144413 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #19144258 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C4×#13063347 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #19143308 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #19143186 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C2×C43×#499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#13063347 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#13063331 | C22 | 1 | 2 | yes | — |
| 14 | #14583602 | C22 | 1 | 8 | yes | — |
| 15 | #14583597 | — | 2 | 8 | no | — |
| 16 | #14583587 | C22 | 1 | 8 | yes | — |
| 17 | #14583512 | — | 2 | 2 | no | — |
| 18 | #14583505 | — | 2 | 2 | no | — |
| 19 | #14583480 | C22 | 1 | 4 | yes | — |
| 20 | #14583449 | C22 | 1 | 1 | yes | characteristic |
| 21 | #14583434 | — | 2 | 4 | no | — |
| 22 | #14583380 | C22 | 1 | 4 | yes | — |
| 23 | C4×#10621898 | C22 | 1 | 2 | yes | — |
| 24 | #14583242 | C22 | 1 | 8 | yes | — |
| 25 | #14583236 | C22 | 1 | 8 | yes | — |
| 26 | #14583226 | C22 | 1 | 8 | yes | — |
| 27 | #14583214 | C22 | 1 | 8 | yes | — |
| 28 | #14583203 | C22 | 1 | 8 | yes | — |
| 29 | #14583196 | C22 | 1 | 8 | yes | — |
| 30 | #14583158 | C22 | 1 | 4 | yes | — |
| 31 | #14583153 | C22 | 1 | 4 | yes | — |
| 32 | #14583129 | C22 | 1 | 8 | yes | — |
| 33 | C4×Dic172 | C22 | 1 | 2 | yes | — |
| 34 | C4×#10621873 | C22 | 1 | 4 | yes | — |
| 35 | C4×D344 | C22 | 1 | 2 | yes | — |
| 36 | #14582978 | C22 | 1 | 4 | yes | — |
| 37 | C8×D172 | C22 | 1 | 4 | yes | — |
| 38 | #14582939 | C22 | 1 | 4 | yes | — |
| 39 | #14582938 | C22 | 1 | 8 | yes | — |
| 40 | #14582937 | C22 | 1 | 1 | yes | characteristic |
| 41 | #14582934 | C22 | 1 | 4 | yes | — |
| 42 | #106×D43 | C22 | 1 | 4 | yes | — |
| 43 | #14582923 | C22 | 1 | 1 | yes | characteristic |
| 44 | #14582898 | C22 | 1 | 4 | yes | — |
| 45 | #14582896 | C22 | 1 | 2 | yes | — |
| 46 | #14582865 | C22 | 1 | 2 | yes | — |
| 47 | C2×#125×C43 | C22 | 1 | 2 | yes | — |
| 48 | C43×#499 | C22 | 1 | 4 | yes | — |
| 49 | C43×#499 | C22 | 1 | 4 | yes | — |
| 50 | C2×#107×C43 | C22 | 1 | 2 | yes | — |
| 51 | C2×#106×C43 | C22 | 1 | 2 | yes | — |
| 52 | C2×C4×C8×C43 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#10621898 | C23 | 1 | 2 | yes | — |
| 54 | C2×#10621898 | C23 | 1 | 2 | yes | — |
| 55 | #13063347 | — | 2 | 4 | no | — |
| 56 | C2×Dic172 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×#10621873 | C23 | 1 | 2 | yes | — |
| 58 | C2×D344 | C23 | 1 | 1 | yes | characteristic |
| 59 | #13063331 | — | 2 | 8 | no | — |
| 60 | C2×#10621877 | C23 | 1 | 2 | yes | — |
| 61 | C2×#10621872 | C23 | 1 | 4 | yes | — |
| 62 | C2×C8×D43 | C23 | 1 | 4 | yes | — |
| 63 | #13063325 | D4 | 1 | 1 | yes | characteristic |
| 64 | #13063322 | D4 | 1 | 1 | yes | characteristic |
| 65 | #13063320 | — | 2 | 8 | no | — |
| 66 | #13063320 | — | 2 | 8 | no | — |
| 67 | #13063316 | — | 2 | 8 | no | — |
| 68 | #13063313 | D4 | 1 | 2 | yes | — |
| 69 | #13063310 | — | 2 | 8 | no | — |
| 70 | #13063310 | — | 2 | 8 | no | — |
| 71 | #13063305 | — | 2 | 4 | no | — |
| 72 | #13063305 | C23 | 1 | 8 | yes | — |
| 73 | #13063300 | — | 2 | 8 | no | — |
| 74 | #13063300 | — | 2 | 4 | no | — |
| 75 | #13063300 | C23 | 1 | 8 | yes | — |
| 76 | #13063299 | — | 2 | 8 | no | — |
| 77 | #13063299 | D4 | 1 | 4 | yes | — |
| 78 | C4×Dic86 | C23 | 1 | 4 | yes | — |
| 79 | #13063290 | — | 2 | 4 | no | — |
| 80 | C4×D172 | C23 | 1 | 4 | yes | — |
| 81 | C4×D172 | C23 | 1 | 4 | yes | — |
| 82 | #13063287 | — | 2 | 4 | no | — |
| 83 | #13063287 | — | 2 | 8 | no | — |
| 84 | C4×C22⋊D43 | — | 2 | 4 | no | — |
| 85 | C4×C22⋊D43 | — | 2 | 8 | no | — |
| 86 | #13063284 | C23 | 1 | 2 | yes | — |
| 87 | #13063283 | — | 2 | 8 | no | — |
| 88 | #13063283 | C23 | 1 | 8 | yes | — |
| 89 | #13063282 | — | 2 | 2 | no | — |
| 90 | C4⋊C4×D43 | C23 | 1 | 8 | yes | — |
| 91 | C42×D43 | — | 2 | 2 | no | — |
| 92 | #13063259 | C23 | 1 | 2 | yes | — |
| 93 | #13063258 | C23 | 1 | 8 | yes | — |
| 94 | #13063257 | C23 | 1 | 2 | yes | — |
| 95 | #13063256 | C23 | 1 | 8 | yes | — |
| 96 | C4⋊(C43⋊C8) | C23 | 1 | 4 | yes | — |
| 97 | #13063250 | C23 | 1 | 4 | yes | — |
| 98 | #13063248 | C23 | 1 | 8 | yes | — |
| 99 | #13063247 | C23 | 1 | 4 | yes | — |
| 100 | #13063245 | C23 | 1 | 8 | yes | — |
| 101 | (C2×D43)⋊C8 | C23 | 1 | 8 | yes | — |
| 102 | C22×C8×C43 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×C8×C43 | C23 | 1 | 1 | yes | characteristic |
| 104 | #125×C43 | — | 2 | 2 | no | — |
| 105 | #125×C43 | — | 2 | 2 | no | — |
| 106 | #125×C43 | C23 | 1 | 8 | yes | — |
| 107 | C2×C4⋊C4×C43 | — | 2 | 4 | no | — |
| 108 | C2×C4⋊C4×C43 | C23 | 1 | 4 | yes | — |
| 109 | C2×C42×C43 | C23 | 1 | 1 | yes | characteristic |
| 110 | #107×C43 | C23 | 1 | 4 | yes | — |
| 111 | #107×C43 | C23 | 1 | 4 | yes | — |
| 112 | #106×C43 | C23 | 1 | 4 | yes | — |
| 113 | #106×C43 | C23 | 1 | 4 | yes | — |
| 114 | C4×C8×C43 | C23 | 1 | 2 | yes | — |
| 115 | C4×C8×C43 | C23 | 1 | 2 | yes | — |
| 116 | C22×C4×C43 | — | 2 | 4 | no | — |
| 117 | C22×C4×C43 | C2×D4 | 1 | 2 | yes | — |
| 118 | C22×C4×C43 | C24 | 1 | 1 | yes | characteristic |
| 119 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 120 | C2×C22⋊D43 | C2×D4 | 1 | 4 | yes | — |
| 121 | #10621898 | — | 2 | 4 | no | — |
| 122 | #10621898 | — | 2 | 4 | no | — |
| 123 | #10621898 | — | 2 | 4 | no | — |
| 124 | #10621898 | — | 2 | 4 | no | — |
| 125 | C2×D172 | — | 2 | 8 | no | — |
| 126 | C2×D172 | C2×D4 | 1 | 2 | yes | — |
| 127 | C2×D172 | C2×D4 | 1 | 4 | yes | — |
| 128 | C2×D172 | C24 | 1 | 2 | yes | — |
| 129 | C2×C4×D43 | — | 2 | 2 | no | — |
| 130 | C2×C4×D43 | — | 2 | 4 | no | — |
| 131 | C2×C4×D43 | — | 2 | 8 | no | — |
| 132 | C2×C4×D43 | C24 | 1 | 4 | yes | — |
| 133 | C2×Dic86 | C2×D4 | 1 | 2 | yes | — |
| 134 | C2×Dic86 | C24 | 1 | 2 | yes | — |
| 135 | C2×C8×C43 | — | 2 | 2 | no | — |
| 136 | C2×C8×C43 | #41 | 1 | 4 | yes | — |
| 137 | C2×C8×C43 | C24 | 1 | 2 | yes | — |
| 138 | C2×C8×C43 | C24 | 1 | 1 | yes | characteristic |
| 139 | C2×C8×C43 | C24 | 1 | 1 | yes | characteristic |
| 140 | C4⋊C4×C43 | — | 2 | 8 | no | — |
| 141 | C4⋊C4×C43 | — | 2 | 8 | no | — |
| 142 | C4⋊C4×C43 | — | 2 | 4 | no | — |
| 143 | C4⋊C4×C43 | C24 | 1 | 8 | yes | — |
| 144 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 146 | C42×C43 | C24 | 1 | 2 | yes | — |
| 147 | C22⋊Dic43 | — | 2 | 2 | no | — |
| 148 | (C2×D43)⋊C4 | — | 2 | 4 | no | — |
| 149 | (C2×D43)⋊C4 | — | 2 | 8 | no | — |
| 150 | (C2×D43)⋊C4 | — | 2 | 8 | no | — |
| 151 | (C2×D43)⋊C4 | — | 2 | 8 | no | — |
| 152 | (C2×D43)⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 153 | C4⋊Dic43 | — | 2 | 8 | no | — |
| 154 | C4⋊Dic43 | C2×D4 | 1 | 4 | yes | — |
| 155 | C4⋊Dic43 | C24 | 1 | 4 | yes | — |
| 156 | Dic43⋊C4 | — | 2 | 4 | no | — |
| 157 | Dic43⋊C4 | — | 2 | 8 | no | — |
| 158 | C4×Dic43 | — | 2 | 2 | no | — |
| 159 | C4×Dic43 | — | 2 | 4 | no | — |
| 160 | C4×Dic43 | — | 2 | 8 | no | — |
| 161 | #10621877 | — | 2 | 4 | no | — |
| 162 | C2×C43⋊C8 | C24 | 1 | 4 | yes | — |
| 163 | Dic172 | — | 2 | 2 | no | — |
| 164 | D344 | — | 2 | 2 | no | — |
| 165 | #10621873 | — | 2 | 4 | no | — |
| 166 | #10621872 | — | 2 | 8 | no | — |
| 167 | C8×D43 | — | 2 | 8 | no | — |
| 168 | C23×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 169 | C22×D43 | — | 2 | 2 | no | — |
| 170 | C22×D43 | C22×D4 | 1 | 4 | yes | — |
| 171 | C2×C4×C43 | — | 2 | 8 | no | — |
| 172 | C2×C4×C43 | — | 4 | 2 | no | — |
| 173 | C2×C4×C43 | — | 8 | 4 | no | — |
| 174 | C2×C4×C43 | C22×D4 | 1 | 2 | yes | — |
| 175 | C2×C4×C43 | C22×D4 | 1 | 2 | yes | — |
| 176 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 177 | C2×C4×C43 | C2×#41 | 1 | 2 | yes | — |
| 178 | C2×C4×C43 | 2−1+4 | 1 | 2 | yes | — |
| 179 | C2×C4×C43 | C25 | 1 | 1 | yes | characteristic |
| 180 | C22⋊D43 | — | 2 | 8 | no | — |
| 181 | C22⋊D43 | — | 4 | 4 | no | — |
| 182 | C2×Dic43 | — | 2 | 4 | no | — |
| 183 | C2×Dic43 | — | 2 | 2 | no | — |
| 184 | C2×Dic43 | C22×D4 | 1 | 4 | yes | — |
| 185 | D172 | — | 2 | 4 | no | — |
| 186 | D172 | — | 2 | 2 | no | — |
| 187 | D172 | — | 2 | 2 | no | — |
| 188 | D172 | — | 4 | 4 | no | — |
| 189 | D172 | — | 8 | 8 | no | — |
| 190 | C4×D43 | — | 2 | 4 | no | — |
| 191 | C4×D43 | — | 2 | 4 | no | — |
| 192 | C4×D43 | — | 4 | 4 | no | — |
| 193 | C4×D43 | — | 8 | 4 | no | — |
| 194 | C4×D43 | — | 8 | 8 | no | — |
| 195 | Dic86 | — | 2 | 4 | no | — |
| 196 | Dic86 | — | 2 | 2 | no | — |
| 197 | Dic86 | — | 2 | 2 | no | — |
| 198 | C8×C43 | — | 2 | 2 | no | — |
| 199 | C8×C43 | C2×#41 | 1 | 2 | yes | — |
| 200 | C8×C43 | C2×#41 | 1 | 2 | yes | — |
| 201 | C43⋊C8 | — | 2 | 4 | no | — |
| 202 | #61290 | — | 43 | 1 | no | maximal, Sylow |
| 203 | C22×C43 | — | 2 | 2 | no | — |
| 204 | C22×C43 | #547 | 1 | 2 | yes | — |
| 205 | C22×C43 | C23×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×D43 | — | 2 | 8 | no | — |
| 207 | C2×D43 | — | 2 | 4 | no | — |
| 208 | C2×D43 | — | 4 | 4 | no | — |
| 209 | C2×D43 | — | 4 | 2 | no | — |
| 210 | C4×C43 | — | 2 | 2 | no | — |
| 211 | C4×C43 | — | 2 | 2 | no | — |
| 212 | C4×C43 | — | 4 | 8 | no | — |
| 213 | C4×C43 | #547 | 1 | 2 | yes | — |
| 214 | C4×C43 | C22×#41 | 1 | 1 | yes | characteristic |
| 215 | C4×C43 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 216 | Dic43 | — | 2 | 4 | no | — |
| 217 | Dic43 | — | 4 | 4 | no | — |
| 218 | Dic43 | — | 4 | 2 | no | — |
| 219 | #3512 | — | 43 | 2 | no | — |
| 220 | #3355 | — | 43 | 4 | no | — |
| 221 | #3352 | — | 43 | 4 | no | — |
| 222 | #3337 | — | 43 | 8 | no | — |
| 223 | C2×#499 | D43 | 1 | 1 | yes | characteristic, complemented |
| 224 | #3098 | — | 43 | 4 | no | — |
| 225 | #3080 | — | 43 | 2 | no | — |
| 226 | #3060 | — | 43 | 2 | no | — |
| 227 | C4×#135 | — | 43 | 1 | no | — |
| 228 | #2931 | — | 43 | 1 | no | — |
| 229 | #2912 | — | 43 | 2 | no | — |
| 230 | C2×C43 | — | 2 | 2 | no | — |
| 231 | C2×C43 | C2×#547 | 1 | 1 | yes | characteristic |
| 232 | C2×C43 | #3584 | 1 | 2 | yes | — |
| 233 | D43 | — | 4 | 4 | no | — |
| 234 | D43 | — | 8 | 2 | no | — |
| 235 | C2×#135 | — | 43 | 1 | no | — |
| 236 | C2×#131 | — | 43 | 2 | no | — |
| 237 | #553 | — | 43 | 8 | no | — |
| 238 | #553 | — | 86 | 8 | no | — |
| 239 | #552 | — | 43 | 8 | no | — |
| 240 | #541 | — | 86 | 2 | no | — |
| 241 | #540 | — | 86 | 2 | no | — |
| 242 | #537 | — | 43 | 4 | no | — |
| 243 | #532 | — | 43 | 1 | no | — |
| 244 | #529 | — | 86 | 4 | no | — |
| 245 | C2×#125 | C2×D43 | 1 | 2 | yes | — |
| 246 | #520 | — | 43 | 4 | no | — |
| 247 | C4×#41 | — | 43 | 2 | no | — |
| 248 | #499 | C2×D43 | 1 | 4 | yes | — |
| 249 | #499 | C2×D43 | 1 | 4 | yes | — |
| 250 | #485 | — | 43 | 8 | no | — |
| 251 | #484 | — | 43 | 8 | no | — |
| 252 | #482 | — | 43 | 8 | no | — |
| 253 | #480 | — | 43 | 8 | no | — |
| 254 | #479 | — | 43 | 8 | no | — |
| 255 | #478 | — | 43 | 8 | no | — |
| 256 | #470 | — | 43 | 4 | no | — |
| 257 | #469 | — | 43 | 4 | no | — |
| 258 | #465 | — | 43 | 8 | no | — |
| 259 | C4×Q16 | — | 43 | 2 | no | — |
| 260 | C4×SD16 | — | 43 | 4 | no | — |
| 261 | C4×D8 | — | 43 | 2 | no | — |
| 262 | #436 | — | 43 | 4 | no | — |
| 263 | C8×D4 | — | 43 | 4 | no | — |
| 264 | #428 | — | 43 | 4 | no | — |
| 265 | #428 | — | 43 | 8 | no | — |
| 266 | #427 | — | 43 | 1 | no | — |
| 267 | #427 | — | 43 | 4 | no | — |
| 268 | C2×#107 | C2×D43 | 1 | 2 | yes | — |
| 269 | C2×#106 | — | 43 | 4 | no | — |
| 270 | C2×#106 | C2×D43 | 1 | 2 | yes | — |
| 271 | #423 | — | 43 | 1 | no | — |
| 272 | #417 | — | 43 | 4 | no | — |
| 273 | #416 | — | 43 | 2 | no | — |
| 274 | #408 | — | 43 | 2 | no | — |
| 275 | C2×C4×C8 | C2×D43 | 1 | 1 | yes | characteristic |
| 276 | C43 | #61290 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 277 | C2×#41 | — | 43 | 2 | no | — |
| 278 | C2×#41 | — | 43 | 2 | no | — |
| 279 | #135 | — | 86 | 4 | no | — |
| 280 | C2×Q16 | — | 43 | 1 | no | — |
| 281 | C2×SD16 | — | 43 | 2 | no | — |
| 282 | C2×D8 | — | 43 | 1 | no | — |
| 283 | #131 | — | 86 | 8 | no | — |
| 284 | C2×M16 | — | 43 | 2 | no | — |
| 285 | C2×M16 | — | 43 | 4 | no | — |
| 286 | C22×C8 | — | 43 | 4 | no | — |
| 287 | C22×C8 | C22×D43 | 1 | 1 | yes | characteristic |
| 288 | C22×C8 | C22×D43 | 1 | 1 | yes | characteristic |
| 289 | C4⋊Q8 | — | 43 | 1 | no | — |
| 290 | #127 | — | 43 | 1 | no | — |
| 291 | #126 | — | 86 | 8 | no | — |
| 292 | #126 | — | 86 | 8 | no | — |
| 293 | #125 | — | 2 | 2 | no | — |
| 294 | #125 | — | 2 | 2 | no | — |
| 295 | #125 | — | 86 | 8 | no | — |
| 296 | #125 | C22×D43 | 1 | 8 | yes | — |
| 297 | #124 | — | 43 | 2 | no | — |
| 298 | #123 | — | 86 | 8 | no | — |
| 299 | #123 | — | 86 | 8 | no | — |
| 300 | C22⋊Q8 | — | 43 | 8 | no | — |
| 301 | C22⋊Q8 | — | 86 | 4 | no | — |
| 302 | #121 | — | 43 | 4 | no | — |
| 303 | #121 | — | 43 | 8 | no | — |
| 304 | #121 | — | 86 | 4 | no | — |
| 305 | #121 | — | 86 | 8 | no | — |
| 306 | #121 | — | 86 | 8 | no | — |
| 307 | C4×Q8 | — | 43 | 4 | no | — |
| 308 | C4×Q8 | — | 86 | 4 | no | — |
| 309 | C4×D4 | — | 43 | 4 | no | — |
| 310 | C4×D4 | — | 43 | 4 | no | — |
| 311 | C4×D4 | — | 86 | 8 | no | — |
| 312 | C4×D4 | — | 86 | 4 | no | — |
| 313 | C4×D4 | — | 86 | 8 | no | — |
| 314 | C4×D4 | — | 86 | 4 | no | — |
| 315 | #117 | — | 43 | 2 | no | — |
| 316 | #117 | — | 43 | 8 | no | — |
| 317 | #117 | — | 86 | 8 | no | — |
| 318 | #117 | — | 86 | 2 | no | — |
| 319 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 320 | C2×C4⋊C4 | — | 43 | 8 | no | — |
| 321 | C2×C4⋊C4 | C22×D43 | 1 | 4 | yes | — |
| 322 | C2×C42 | — | 86 | 2 | no | — |
| 323 | C2×C42 | C22×D43 | 1 | 1 | yes | characteristic |
| 324 | #107 | — | 43 | 2 | no | — |
| 325 | #107 | — | 43 | 8 | no | — |
| 326 | #107 | C22×D43 | 1 | 4 | yes | — |
| 327 | #107 | C22×D43 | 1 | 4 | yes | — |
| 328 | #106 | — | 43 | 2 | no | — |
| 329 | #106 | — | 43 | 8 | no | — |
| 330 | #106 | C22×D43 | 1 | 4 | yes | — |
| 331 | #106 | C22×D43 | 1 | 4 | yes | — |
| 332 | C4⋊C8 | — | 43 | 4 | no | — |
| 333 | #103 | — | 43 | 4 | no | — |
| 334 | #103 | — | 43 | 8 | no | — |
| 335 | #102 | — | 43 | 4 | no | — |
| 336 | #102 | — | 43 | 8 | no | — |
| 337 | C22⋊C8 | — | 43 | 8 | no | — |
| 338 | C4×C8 | C22×D43 | 1 | 2 | yes | — |
| 339 | C4×C8 | C22×D43 | 1 | 2 | yes | — |
| 340 | #41 | — | 86 | 4 | no | — |
| 341 | #41 | — | 86 | 4 | no | — |
| 342 | #41 | — | 86 | 4 | no | — |
| 343 | #41 | — | 86 | 4 | no | — |
| 344 | C2×Q8 | — | 43 | 2 | no | — |
| 345 | C2×Q8 | — | 43 | 2 | no | — |
| 346 | C2×D4 | — | 43 | 4 | no | — |
| 347 | C2×D4 | — | 43 | 2 | no | — |
| 348 | C2×D4 | — | 43 | 4 | no | — |
| 349 | C2×D4 | — | 43 | 2 | no | — |
| 350 | C2×D4 | — | 86 | 8 | no | — |
| 351 | C2×D4 | — | 86 | 2 | no | — |
| 352 | C22×C4 | — | 2 | 4 | no | — |
| 353 | C22×C4 | — | 43 | 4 | no | — |
| 354 | C22×C4 | — | 86 | 8 | no | — |
| 355 | C22×C4 | — | 86 | 4 | no | — |
| 356 | C22×C4 | — | 86 | 2 | no | — |
| 357 | C22×C4 | D4×D43 | 1 | 2 | yes | — |
| 358 | C22×C4 | C23×D43 | 1 | 1 | yes | characteristic |
| 359 | Q16 | — | 86 | 2 | no | — |
| 360 | SD16 | — | 86 | 4 | no | — |
| 361 | D8 | — | 86 | 2 | no | — |
| 362 | M16 | — | 86 | 4 | no | — |
| 363 | M16 | — | 86 | 8 | no | — |
| 364 | C2×C8 | — | 2 | 2 | no | — |
| 365 | C2×C8 | — | 43 | 4 | no | — |
| 366 | C2×C8 | — | 86 | 8 | no | — |
| 367 | C2×C8 | #10621902 | 1 | 4 | yes | — |
| 368 | C2×C8 | C23×D43 | 1 | 2 | yes | — |
| 369 | C2×C8 | C23×D43 | 1 | 1 | yes | characteristic |
| 370 | C2×C8 | C23×D43 | 1 | 1 | yes | characteristic |
| 371 | C4⋊C4 | — | 2 | 8 | no | — |
| 372 | C4⋊C4 | — | 2 | 8 | no | — |
| 373 | C4⋊C4 | — | 2 | 4 | no | — |
| 374 | C4⋊C4 | — | 43 | 4 | no | — |
| 375 | C4⋊C4 | — | 43 | 4 | no | — |
| 376 | C4⋊C4 | — | 86 | 8 | no | — |
| 377 | C4⋊C4 | — | 86 | 8 | no | — |
| 378 | C4⋊C4 | — | 86 | 4 | no | — |
| 379 | C4⋊C4 | C23×D43 | 1 | 8 | yes | — |
| 380 | C22⋊C4 | — | 43 | 8 | no | — |
| 381 | C22⋊C4 | — | 86 | 8 | no | — |
| 382 | C22⋊C4 | — | 86 | 8 | no | — |
| 383 | C22⋊C4 | — | 86 | 8 | no | — |
| 384 | C22⋊C4 | — | 86 | 2 | no | — |
| 385 | C22⋊C4 | — | 86 | 4 | no | — |
| 386 | C42 | — | 86 | 8 | no | — |
| 387 | C42 | — | 86 | 2 | no | — |
| 388 | C42 | — | 86 | 4 | no | — |
| 389 | C42 | D4×D43 | 1 | 1 | yes | characteristic |
| 390 | C42 | D4×D43 | 1 | 1 | yes | characteristic |
| 391 | C42 | C23×D43 | 1 | 2 | yes | — |
| 392 | C23 | — | 43 | 4 | no | — |
| 393 | C23 | — | 86 | 2 | no | — |
| 394 | C23 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 395 | Q8 | — | 86 | 4 | no | — |
| 396 | Q8 | — | 86 | 2 | no | — |
| 397 | Q8 | — | 86 | 2 | no | — |
| 398 | D4 | — | 86 | 8 | no | — |
| 399 | D4 | — | 86 | 4 | no | — |
| 400 | D4 | — | 86 | 2 | no | — |
| 401 | D4 | — | 86 | 2 | no | — |
| 402 | D4 | — | 344 | 8 | no | — |
| 403 | D4 | — | 172 | 4 | no | — |
| 404 | D4 | — | 172 | 4 | no | — |
| 405 | C2×C4 | — | 2 | 8 | no | — |
| 406 | C2×C4 | — | 4 | 2 | no | — |
| 407 | C2×C4 | — | 8 | 4 | no | — |
| 408 | C2×C4 | — | 43 | 4 | no | — |
| 409 | C2×C4 | — | 86 | 4 | no | — |
| 410 | C2×C4 | — | 86 | 4 | no | — |
| 411 | C2×C4 | — | 86 | 4 | no | — |
| 412 | C2×C4 | — | 86 | 2 | no | — |
| 413 | C2×C4 | — | 344 | 4 | no | — |
| 414 | C2×C4 | — | 344 | 8 | no | — |
| 415 | C2×C4 | — | 172 | 4 | no | — |
| 416 | C2×C4 | C2×D4×D43 | 1 | 2 | yes | — |
| 417 | C2×C4 | C2×D4×D43 | 1 | 2 | yes | — |
| 418 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 419 | C2×C4 | C2×#10621902 | 1 | 2 | yes | — |
| 420 | C2×C4 | #13063373 | 1 | 2 | yes | — |
| 421 | C2×C4 | C24×D43 | 1 | 1 | yes | characteristic |
| 422 | C8 | — | 2 | 2 | no | — |
| 423 | C8 | — | 86 | 4 | no | — |
| 424 | C8 | C2×#10621902 | 1 | 2 | yes | — |
| 425 | C8 | C2×#10621902 | 1 | 2 | yes | — |
| 426 | C22 | — | 2 | 2 | no | — |
| 427 | C22 | — | 86 | 4 | no | — |
| 428 | C22 | — | 86 | 8 | no | — |
| 429 | C22 | — | 172 | 2 | no | — |
| 430 | C22 | — | 172 | 4 | no | — |
| 431 | C22 | #14583552 | 1 | 2 | yes | — |
| 432 | C22 | C22×D4×D43 | 1 | 1 | yes | characteristic |
| 433 | C4 | — | 2 | 2 | no | — |
| 434 | C4 | — | 2 | 2 | no | — |
| 435 | C4 | — | 4 | 8 | no | — |
| 436 | C4 | — | 86 | 4 | no | — |
| 437 | C4 | — | 172 | 2 | no | — |
| 438 | C4 | — | 172 | 4 | no | — |
| 439 | C4 | #14583552 | 1 | 2 | yes | — |
| 440 | C4 | C22×#10621902 | 1 | 1 | yes | characteristic |
| 441 | C4 | C2×#13063373 | 1 | 1 | yes | characteristic |
| 442 | C2 | — | 2 | 2 | no | — |
| 443 | C2 | — | 344 | 2 | no | — |
| 444 | C2 | — | 172 | 4 | no | — |
| 445 | C2 | C2×#14583552 | 1 | 1 | yes | characteristic |
| 446 | C2 | #19149364 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta