← #33078046
Subgroups — #33078046
Order 18688.
554 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #22622820 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22622734 | C2 | 1 | 2 | yes | maximal |
| 3 | #22609525 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #22609487 | C2 | 1 | 2 | yes | maximal |
| 5 | #22609325 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #22609298 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #22609208 | C2 | 1 | 2 | yes | maximal |
| 8 | #22609206 | C2 | 1 | 2 | yes | maximal |
| 9 | #22608828 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | C8×#11924018 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | C73×#3395 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #17989316 | C22 | 1 | 2 | yes | — |
| 13 | #17988992 | C22 | 1 | 1 | yes | characteristic |
| 14 | #17988988 | — | 2 | 1 | no | — |
| 15 | #17988983 | C22 | 1 | 2 | yes | — |
| 16 | #17988957 | — | 2 | 2 | no | — |
| 17 | #17988939 | C22 | 1 | 2 | yes | — |
| 18 | #17988896 | — | 2 | 2 | no | — |
| 19 | #17988891 | — | 2 | 2 | no | — |
| 20 | #17988872 | C22 | 1 | 2 | yes | — |
| 21 | #17988869 | C22 | 1 | 2 | yes | — |
| 22 | #17988797 | — | 2 | 2 | no | — |
| 23 | #17988797 | C22 | 1 | 2 | yes | — |
| 24 | #17988718 | C22 | 1 | 2 | yes | — |
| 25 | C8×Dic146 | C22 | 1 | 1 | yes | characteristic |
| 26 | #17988692 | — | 2 | 2 | no | — |
| 27 | Q16×Dic73 | — | 2 | 1 | no | — |
| 28 | C4×#11924018 | C22 | 1 | 1 | yes | characteristic |
| 29 | #17988340 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17988339 | C22 | 1 | 1 | yes | characteristic |
| 31 | #17988333 | C22 | 1 | 2 | yes | — |
| 32 | #17988332 | C22 | 1 | 2 | yes | — |
| 33 | Q8⋊#10596831 | C22 | 1 | 2 | yes | — |
| 34 | Q8⋊#10596831 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17988317 | C22 | 1 | 1 | yes | characteristic |
| 36 | C8×#10596831 | C22 | 1 | 1 | yes | characteristic |
| 37 | #557×C73 | C22 | 1 | 2 | yes | — |
| 38 | #494×C73 | — | 2 | 1 | no | — |
| 39 | #494×C73 | C22 | 1 | 1 | yes | characteristic |
| 40 | #462×C73 | — | 2 | 2 | no | — |
| 41 | #462×C73 | C22 | 1 | 2 | yes | — |
| 42 | C8×Q8×C73 | C22 | 1 | 1 | yes | characteristic |
| 43 | C4×Q16×C73 | — | 2 | 1 | no | — |
| 44 | C4×Q16×C73 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#11924018 | — | 2 | 2 | no | — |
| 46 | C2×#11924018 | D4 | 1 | 1 | yes | characteristic |
| 47 | #14556591 | — | 2 | 2 | no | — |
| 48 | #14556591 | C23 | 1 | 2 | yes | — |
| 49 | #14556582 | — | 2 | 2 | no | — |
| 50 | #14556582 | — | 4 | 2 | no | — |
| 51 | Q8×Dic73 | — | 2 | 2 | no | — |
| 52 | C4×Dic146 | — | 2 | 2 | no | — |
| 53 | C4×Dic146 | C23 | 1 | 1 | yes | characteristic |
| 54 | #14556525 | — | 2 | 1 | no | — |
| 55 | #14556525 | — | 2 | 1 | no | — |
| 56 | #14556524 | D4 | 1 | 1 | yes | characteristic |
| 57 | #14556522 | — | 2 | 2 | no | — |
| 58 | #14556522 | — | 2 | 2 | no | — |
| 59 | #14556522 | — | 4 | 2 | no | — |
| 60 | C4⋊#10596831 | — | 2 | 2 | no | — |
| 61 | C4⋊#10596831 | C23 | 1 | 2 | yes | — |
| 62 | C4⋊#10596831 | C23 | 1 | 1 | yes | characteristic |
| 63 | #14556520 | — | 2 | 1 | no | — |
| 64 | #14556515 | — | 2 | 2 | no | — |
| 65 | #14556515 | D4 | 1 | 1 | yes | characteristic |
| 66 | #14556514 | — | 2 | 2 | no | — |
| 67 | #14556514 | — | 2 | 2 | no | — |
| 68 | #14556514 | — | 2 | 2 | no | — |
| 69 | #14556514 | — | 2 | 2 | no | — |
| 70 | #14556514 | D4 | 1 | 1 | yes | characteristic |
| 71 | #14556502 | — | 2 | 2 | no | — |
| 72 | C4×#10596831 | C23 | 1 | 1 | yes | characteristic |
| 73 | C4×#10596831 | C23 | 1 | 1 | yes | characteristic |
| 74 | C8×Dic73 | — | 2 | 1 | no | — |
| 75 | C2×Q16×C73 | — | 2 | 2 | no | — |
| 76 | C2×Q16×C73 | — | 2 | 1 | no | — |
| 77 | C2×Q16×C73 | — | 2 | 1 | no | — |
| 78 | C2×Q16×C73 | D4 | 1 | 1 | yes | characteristic |
| 79 | C4⋊Q8×C73 | — | 2 | 2 | no | — |
| 80 | C4⋊Q8×C73 | C23 | 1 | 2 | yes | — |
| 81 | #125×C73 | — | 2 | 2 | no | — |
| 82 | #125×C73 | — | 4 | 2 | no | — |
| 83 | C4×Q8×C73 | — | 2 | 2 | no | — |
| 84 | C4×Q8×C73 | — | 2 | 2 | no | — |
| 85 | C4×Q8×C73 | C23 | 1 | 2 | yes | — |
| 86 | C4×Q8×C73 | C23 | 1 | 1 | yes | characteristic |
| 87 | #107×C73 | D4 | 1 | 1 | yes | characteristic |
| 88 | C4⋊C8×C73 | — | 2 | 1 | no | — |
| 89 | C4⋊C8×C73 | C23 | 1 | 1 | yes | characteristic |
| 90 | #103×C73 | — | 2 | 2 | no | — |
| 91 | #103×C73 | D4 | 1 | 2 | yes | — |
| 92 | C4×C8×C73 | — | 2 | 1 | no | — |
| 93 | C4×C8×C73 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×Dic146 | — | 2 | 2 | no | — |
| 95 | C2×Dic146 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | #11924018 | — | 2 | 2 | no | — |
| 97 | #11924018 | — | 4 | 4 | no | — |
| 98 | C2×#10596831 | — | 2 | 1 | no | — |
| 99 | C2×#10596831 | — | 2 | 1 | no | — |
| 100 | C2×#10596831 | — | 2 | 2 | no | — |
| 101 | C2×#10596831 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | C2×#10596831 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 104 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 105 | C4⋊Dic73 | — | 4 | 2 | no | — |
| 106 | C4⋊Dic73 | — | 4 | 2 | no | — |
| 107 | C4⋊Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | #11924007 | — | 2 | 1 | no | — |
| 109 | #11924007 | — | 4 | 2 | no | — |
| 110 | C4×Dic73 | — | 2 | 1 | no | — |
| 111 | C4×Dic73 | — | 4 | 2 | no | — |
| 112 | C2×Q8×C73 | — | 2 | 2 | no | — |
| 113 | C2×Q8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C2×Q8×C73 | C2×D4 | 1 | 2 | yes | — |
| 115 | Q16×C73 | — | 2 | 2 | no | — |
| 116 | Q16×C73 | — | 4 | 2 | no | — |
| 117 | Q16×C73 | — | 8 | 1 | no | — |
| 118 | Q16×C73 | — | 8 | 2 | no | — |
| 119 | C2×C8×C73 | — | 2 | 1 | no | — |
| 120 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C4⋊C4×C73 | — | 2 | 1 | no | — |
| 123 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 124 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 125 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 126 | C4⋊C4×C73 | — | 4 | 2 | no | — |
| 127 | C4⋊C4×C73 | — | 4 | 2 | no | — |
| 128 | C4⋊C4×C73 | — | 4 | 2 | no | — |
| 129 | C4⋊C4×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C4⋊C4×C73 | C2×D4 | 1 | 2 | yes | — |
| 131 | C42×C73 | — | 2 | 1 | no | — |
| 132 | C42×C73 | — | 2 | 2 | no | — |
| 133 | C42×C73 | — | 4 | 2 | no | — |
| 134 | C42×C73 | C24 | 1 | 1 | yes | characteristic |
| 135 | Q8×C73 | — | 2 | 1 | no | — |
| 136 | Q8×C73 | — | 2 | 2 | no | — |
| 137 | Q8×C73 | — | 2 | 2 | no | — |
| 138 | Q8×C73 | — | 4 | 2 | no | — |
| 139 | Q8×C73 | — | 4 | 2 | no | — |
| 140 | Q8×C73 | #135 | 1 | 2 | yes | — |
| 141 | C2×C4×C73 | — | 2 | 1 | no | — |
| 142 | C2×C4×C73 | — | 2 | 2 | no | — |
| 143 | C2×C4×C73 | — | 2 | 1 | no | — |
| 144 | C2×C4×C73 | — | 2 | 2 | no | — |
| 145 | C2×C4×C73 | — | 4 | 2 | no | — |
| 146 | C2×C4×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 147 | C2×C4×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×C4×C73 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 149 | C2×Dic73 | — | 2 | 1 | no | — |
| 150 | C2×Dic73 | — | 2 | 1 | no | — |
| 151 | C2×Dic73 | — | 4 | 2 | no | — |
| 152 | Dic146 | — | 2 | 1 | no | — |
| 153 | Dic146 | — | 2 | 1 | no | — |
| 154 | Dic146 | — | 4 | 2 | no | — |
| 155 | Dic146 | — | 4 | 2 | no | — |
| 156 | C8×C73 | — | 2 | 1 | no | — |
| 157 | C8×C73 | — | 4 | 1 | no | — |
| 158 | C8×C73 | #137 | 1 | 2 | yes | — |
| 159 | #10596831 | — | 2 | 2 | no | — |
| 160 | #10596831 | — | 2 | 1 | no | — |
| 161 | #10596831 | — | 2 | 1 | no | — |
| 162 | #10596831 | — | 4 | 2 | no | — |
| 163 | #10596831 | — | 4 | 1 | no | — |
| 164 | C22×C73 | D42 | 1 | 1 | yes | characteristic |
| 165 | C4×C73 | — | 2 | 2 | no | — |
| 166 | C4×C73 | — | 2 | 1 | no | — |
| 167 | C4×C73 | — | 4 | 2 | no | — |
| 168 | C4×C73 | — | 4 | 2 | no | — |
| 169 | C4×C73 | — | 4 | 1 | no | — |
| 170 | C4×C73 | — | 8 | 2 | no | — |
| 171 | C4×C73 | C2×#135 | 1 | 1 | yes | characteristic |
| 172 | C4×C73 | C2×#137 | 1 | 1 | yes | characteristic |
| 173 | C4×C73 | #577 | 1 | 1 | yes | characteristic |
| 174 | C4×C73 | #578 | 1 | 1 | yes | characteristic |
| 175 | Dic73 | — | 4 | 1 | no | — |
| 176 | Dic73 | — | 4 | 1 | no | — |
| 177 | Dic73 | — | 8 | 2 | no | — |
| 178 | #19944 | — | 73 | 1 | no | maximal, Sylow |
| 179 | C2×C73 | #3278 | 1 | 1 | yes | characteristic |
| 180 | C2×C73 | #3285 | 1 | 1 | yes | characteristic |
| 181 | C2×C73 | #3293 | 1 | 1 | yes | characteristic |
| 182 | #3395 | D73 | 1 | 1 | yes | characteristic |
| 183 | #3383 | — | 73 | 1 | no | — |
| 184 | #3374 | — | 73 | 2 | no | — |
| 185 | #1707 | — | 73 | 1 | no | — |
| 186 | #1700 | — | 73 | 2 | no | — |
| 187 | #1674 | — | 73 | 1 | no | — |
| 188 | #1670 | — | 73 | 1 | no | — |
| 189 | #1653 | — | 73 | 2 | no | — |
| 190 | #1653 | — | 73 | 2 | no | — |
| 191 | #1591 | — | 73 | 1 | no | — |
| 192 | C8×Q16 | — | 73 | 1 | no | — |
| 193 | C73 | #19944 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 194 | #557 | — | 73 | 2 | no | — |
| 195 | #557 | C2×D73 | 1 | 2 | yes | — |
| 196 | #500 | — | 73 | 1 | no | — |
| 197 | #499 | — | 146 | 1 | no | — |
| 198 | #498 | — | 73 | 2 | no | — |
| 199 | #494 | — | 2 | 1 | no | — |
| 200 | #494 | C2×D73 | 1 | 1 | yes | characteristic |
| 201 | #491 | — | 146 | 2 | no | — |
| 202 | #487 | — | 73 | 2 | no | — |
| 203 | #479 | — | 146 | 2 | no | — |
| 204 | #479 | — | 146 | 2 | no | — |
| 205 | #475 | — | 73 | 2 | no | — |
| 206 | #475 | — | 73 | 2 | no | — |
| 207 | #462 | — | 2 | 2 | no | — |
| 208 | #462 | — | 73 | 2 | no | — |
| 209 | #462 | — | 146 | 2 | no | — |
| 210 | #462 | C2×D73 | 1 | 2 | yes | — |
| 211 | #446 | — | 73 | 2 | no | — |
| 212 | C8×Q8 | — | 73 | 1 | no | — |
| 213 | C8×Q8 | C2×D73 | 1 | 1 | yes | characteristic |
| 214 | #441 | — | 146 | 2 | no | — |
| 215 | C4×Q16 | — | 2 | 1 | no | — |
| 216 | C4×Q16 | — | 73 | 1 | no | — |
| 217 | C4×Q16 | — | 146 | 1 | no | — |
| 218 | C4×Q16 | C2×D73 | 1 | 1 | yes | characteristic |
| 219 | #335 | — | 73 | 1 | no | — |
| 220 | #335 | — | 73 | 1 | no | — |
| 221 | #332 | — | 73 | 2 | no | — |
| 222 | #332 | — | 73 | 2 | no | — |
| 223 | Q8⋊C8 | — | 73 | 1 | no | — |
| 224 | Q8⋊C8 | — | 73 | 2 | no | — |
| 225 | Q8⋊C8 | — | 73 | 1 | no | — |
| 226 | C82 | — | 73 | 1 | no | — |
| 227 | C2×Q16 | — | 2 | 2 | no | — |
| 228 | C2×Q16 | — | 2 | 1 | no | — |
| 229 | C2×Q16 | — | 2 | 1 | no | — |
| 230 | C2×Q16 | — | 73 | 1 | no | — |
| 231 | C2×Q16 | — | 146 | 2 | no | — |
| 232 | C2×Q16 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 233 | C4⋊Q8 | — | 2 | 2 | no | — |
| 234 | C4⋊Q8 | — | 73 | 2 | no | — |
| 235 | C4⋊Q8 | — | 146 | 2 | no | — |
| 236 | C4⋊Q8 | C22×D73 | 1 | 2 | yes | — |
| 237 | #125 | — | 2 | 2 | no | — |
| 238 | #125 | — | 4 | 2 | no | — |
| 239 | #125 | — | 292 | 2 | no | — |
| 240 | #125 | — | 146 | 2 | no | — |
| 241 | C4×Q8 | — | 2 | 2 | no | — |
| 242 | C4×Q8 | — | 2 | 2 | no | — |
| 243 | C4×Q8 | — | 73 | 1 | no | — |
| 244 | C4×Q8 | — | 146 | 2 | no | — |
| 245 | C4×Q8 | — | 146 | 2 | no | — |
| 246 | C4×Q8 | C22×D73 | 1 | 1 | yes | characteristic |
| 247 | C4×Q8 | C22×D73 | 1 | 2 | yes | — |
| 248 | #107 | — | 73 | 1 | no | — |
| 249 | #107 | — | 146 | 1 | no | — |
| 250 | #107 | — | 146 | 1 | no | — |
| 251 | #107 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 252 | #106 | — | 292 | 2 | no | — |
| 253 | #106 | — | 146 | 2 | no | — |
| 254 | #106 | — | 146 | 2 | no | — |
| 255 | C4⋊C8 | — | 2 | 1 | no | — |
| 256 | C4⋊C8 | — | 73 | 1 | no | — |
| 257 | C4⋊C8 | — | 73 | 2 | no | — |
| 258 | C4⋊C8 | — | 146 | 2 | no | — |
| 259 | C4⋊C8 | — | 146 | 1 | no | — |
| 260 | C4⋊C8 | C22×D73 | 1 | 1 | yes | characteristic |
| 261 | #103 | — | 2 | 2 | no | — |
| 262 | #103 | — | 73 | 1 | no | — |
| 263 | #103 | — | 73 | 1 | no | — |
| 264 | #103 | — | 146 | 2 | no | — |
| 265 | #103 | — | 146 | 2 | no | — |
| 266 | #103 | — | 146 | 2 | no | — |
| 267 | #103 | — | 146 | 2 | no | — |
| 268 | #103 | — | 146 | 2 | no | — |
| 269 | #103 | C22⋊D73 | 1 | 2 | yes | — |
| 270 | #97 | — | 146 | 2 | no | — |
| 271 | C4×C8 | — | 2 | 1 | no | — |
| 272 | C4×C8 | — | 73 | 1 | no | — |
| 273 | C4×C8 | — | 73 | 1 | no | — |
| 274 | C4×C8 | — | 146 | 1 | no | — |
| 275 | C4×C8 | C22×D73 | 1 | 1 | yes | characteristic |
| 276 | C2×Q8 | — | 2 | 2 | no | — |
| 277 | C2×Q8 | — | 73 | 1 | no | — |
| 278 | C2×Q8 | — | 146 | 2 | no | — |
| 279 | C2×Q8 | D4×D73 | 1 | 1 | yes | characteristic |
| 280 | C2×Q8 | C2×C22⋊D73 | 1 | 2 | yes | — |
| 281 | Q16 | — | 2 | 2 | no | — |
| 282 | Q16 | — | 4 | 2 | no | — |
| 283 | Q16 | — | 8 | 1 | no | — |
| 284 | Q16 | — | 8 | 2 | no | — |
| 285 | Q16 | — | 292 | 4 | no | — |
| 286 | Q16 | — | 146 | 2 | no | — |
| 287 | C2×C8 | — | 2 | 1 | no | — |
| 288 | C2×C8 | — | 73 | 1 | no | — |
| 289 | C2×C8 | — | 73 | 1 | no | — |
| 290 | C2×C8 | — | 146 | 2 | no | — |
| 291 | C2×C8 | — | 146 | 1 | no | — |
| 292 | C2×C8 | — | 146 | 1 | no | — |
| 293 | C2×C8 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 294 | C2×C8 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 295 | C4⋊C4 | — | 2 | 1 | no | — |
| 296 | C4⋊C4 | — | 2 | 2 | no | — |
| 297 | C4⋊C4 | — | 2 | 2 | no | — |
| 298 | C4⋊C4 | — | 2 | 2 | no | — |
| 299 | C4⋊C4 | — | 4 | 2 | no | — |
| 300 | C4⋊C4 | — | 4 | 2 | no | — |
| 301 | C4⋊C4 | — | 4 | 2 | no | — |
| 302 | C4⋊C4 | — | 292 | 2 | no | — |
| 303 | C4⋊C4 | — | 292 | 2 | no | — |
| 304 | C4⋊C4 | — | 292 | 2 | no | — |
| 305 | C4⋊C4 | — | 73 | 1 | no | — |
| 306 | C4⋊C4 | — | 146 | 2 | no | — |
| 307 | C4⋊C4 | — | 146 | 2 | no | — |
| 308 | C4⋊C4 | — | 146 | 1 | no | — |
| 309 | C4⋊C4 | D4×D73 | 1 | 1 | yes | characteristic |
| 310 | C4⋊C4 | C2×C22⋊D73 | 1 | 2 | yes | — |
| 311 | C42 | — | 2 | 2 | no | — |
| 312 | C42 | — | 2 | 1 | no | — |
| 313 | C42 | — | 4 | 2 | no | — |
| 314 | C42 | — | 292 | 2 | no | — |
| 315 | C42 | — | 146 | 1 | no | — |
| 316 | C42 | C23×D73 | 1 | 1 | yes | characteristic |
| 317 | Q8 | — | 2 | 1 | no | — |
| 318 | Q8 | — | 2 | 2 | no | — |
| 319 | Q8 | — | 2 | 2 | no | — |
| 320 | Q8 | — | 4 | 2 | no | — |
| 321 | Q8 | — | 4 | 2 | no | — |
| 322 | Q8 | — | 292 | 2 | no | — |
| 323 | Q8 | — | 292 | 2 | no | — |
| 324 | Q8 | — | 146 | 1 | no | — |
| 325 | Q8 | — | 146 | 1 | no | — |
| 326 | Q8 | #14556614 | 1 | 2 | yes | — |
| 327 | C2×C4 | — | 2 | 1 | no | — |
| 328 | C2×C4 | — | 2 | 2 | no | — |
| 329 | C2×C4 | — | 2 | 2 | no | — |
| 330 | C2×C4 | — | 2 | 1 | no | — |
| 331 | C2×C4 | — | 4 | 2 | no | — |
| 332 | C2×C4 | — | 292 | 2 | no | — |
| 333 | C2×C4 | — | 146 | 1 | no | — |
| 334 | C2×C4 | — | 146 | 1 | no | — |
| 335 | C2×C4 | C2×D4×D73 | 1 | 1 | yes | characteristic |
| 336 | C2×C4 | C22×C22⋊D73 | 1 | 1 | yes | characteristic |
| 337 | C2×C4 | #14556636 | 1 | 1 | yes | characteristic |
| 338 | C8 | — | 2 | 1 | no | — |
| 339 | C8 | — | 4 | 1 | no | — |
| 340 | C8 | — | 292 | 1 | no | — |
| 341 | C8 | — | 292 | 2 | no | — |
| 342 | C8 | — | 146 | 2 | no | — |
| 343 | C8 | — | 146 | 1 | no | — |
| 344 | C8 | — | 146 | 1 | no | — |
| 345 | C8 | #14556621 | 1 | 2 | yes | — |
| 346 | C22 | D4×C22⋊D73 | 1 | 1 | yes | characteristic |
| 347 | C4 | — | 2 | 1 | no | — |
| 348 | C4 | — | 2 | 2 | no | — |
| 349 | C4 | — | 4 | 2 | no | — |
| 350 | C4 | — | 4 | 1 | no | — |
| 351 | C4 | — | 4 | 2 | no | — |
| 352 | C4 | — | 8 | 2 | no | — |
| 353 | C4 | — | 292 | 1 | no | — |
| 354 | C4 | — | 292 | 1 | no | — |
| 355 | C4 | — | 584 | 2 | no | — |
| 356 | C4 | C2×#14556614 | 1 | 1 | yes | characteristic |
| 357 | C4 | C2×#14556621 | 1 | 1 | yes | characteristic |
| 358 | C4 | #17989398 | 1 | 1 | yes | characteristic |
| 359 | C4 | #17989400 | 1 | 1 | yes | characteristic |
| 360 | C2 | #22621597 | 1 | 1 | yes | characteristic |
| 361 | C2 | #22621672 | 1 | 1 | yes | characteristic |
| 362 | C2 | #22621733 | 1 | 1 | yes | characteristic |
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