← #34013127
Subgroups — #34013127
Order 18688.
446 conjugacy classes of subgroups.
The subgroup lattice has 358 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #22626261 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#17989500 | C2 | 1 | 2 | yes | maximal |
| 3 | #22625867 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #22624988 | C2 | 1 | 2 | yes | maximal |
| 5 | C4×Q16×D73 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×#14556664 | C22 | 1 | 2 | yes | — |
| 7 | C2×#14556660 | — | 2 | 1 | no | — |
| 8 | C2×#14556660 | C22 | 1 | 2 | yes | — |
| 9 | #17989533 | — | 2 | 1 | no | — |
| 10 | #17989508 | — | 2 | 1 | no | — |
| 11 | C4⋊#11924031 | — | 2 | 1 | no | — |
| 12 | #17989500 | — | 2 | 4 | no | — |
| 13 | C2×Q16×D73 | C22 | 1 | 1 | yes | characteristic |
| 14 | C4×Q8×D73 | — | 2 | 1 | no | — |
| 15 | C4×Dic292 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | Q16×Dic73 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #17988681 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | C4×#11924018 | — | 2 | 1 | no | — |
| 19 | #17988679 | — | 2 | 1 | no | — |
| 20 | #107×D73 | C22 | 1 | 1 | yes | characteristic |
| 21 | #103×D73 | — | 2 | 1 | no | — |
| 22 | C4×C8×D73 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×Q16×C73 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×C4⋊#64408 | — | 2 | 2 | no | — |
| 25 | C2×C4⋊#64408 | — | 4 | 1 | no | — |
| 26 | C2×C4⋊#64408 | — | 4 | 1 | no | — |
| 27 | #14556664 | — | 2 | 2 | no | — |
| 28 | #14556664 | — | 2 | 2 | no | — |
| 29 | C2×#11924031 | — | 2 | 2 | no | — |
| 30 | #14556660 | — | 2 | 2 | no | — |
| 31 | #14556660 | — | 2 | 2 | no | — |
| 32 | #14556660 | — | 4 | 2 | no | — |
| 33 | C2×Q8×D73 | — | 2 | 1 | no | — |
| 34 | C2×Dic292 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C2×#11924018 | — | 2 | 1 | no | — |
| 36 | Q16×D73 | — | 2 | 1 | no | — |
| 37 | Q16×D73 | — | 2 | 1 | no | — |
| 38 | Q16×D73 | D4 | 1 | 2 | yes | — |
| 39 | Q16×D73 | Q8 | 1 | 2 | yes | — |
| 40 | C2×C8×D73 | D4 | 1 | 1 | yes | characteristic |
| 41 | C2×C8×D73 | C23 | 1 | 1 | yes | characteristic |
| 42 | Q8×Dic73 | — | 2 | 1 | no | — |
| 43 | C4×Dic146 | — | 2 | 1 | no | — |
| 44 | C4×Dic146 | — | 4 | 1 | no | — |
| 45 | #14556556 | — | 2 | 1 | no | — |
| 46 | #14556556 | — | 4 | 1 | no | — |
| 47 | C4⋊C4×D73 | — | 2 | 1 | no | — |
| 48 | C4⋊C4×D73 | — | 4 | 1 | no | — |
| 49 | C42×D73 | — | 4 | 1 | no | — |
| 50 | C42×D73 | D4 | 1 | 1 | yes | characteristic |
| 51 | #14556525 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | #14556524 | — | 2 | 1 | no | — |
| 53 | #14556516 | — | 2 | 1 | no | — |
| 54 | #14556515 | — | 2 | 1 | no | — |
| 55 | #14556514 | — | 2 | 1 | no | — |
| 56 | C4×#10596831 | D4 | 1 | 1 | yes | characteristic |
| 57 | C8×Dic73 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C8×Dic73 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×Q16×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | C4×Q8×C73 | — | 2 | 1 | no | — |
| 61 | #107×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | #103×C73 | — | 2 | 1 | no | — |
| 63 | C4×C8×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | C22×#64408 | — | 4 | 2 | no | — |
| 65 | C4⋊#64408 | — | 4 | 2 | no | — |
| 66 | C4⋊#64408 | — | 4 | 2 | no | — |
| 67 | C4⋊#64408 | — | 8 | 2 | no | — |
| 68 | C4⋊#64408 | — | 8 | 2 | no | — |
| 69 | #11924031 | — | 4 | 2 | no | — |
| 70 | C2×Dic146 | — | 2 | 1 | no | — |
| 71 | C2×Dic146 | — | 4 | 1 | no | — |
| 72 | Q8×D73 | — | 2 | 2 | no | — |
| 73 | Q8×D73 | — | 2 | 2 | no | — |
| 74 | Q8×D73 | — | 4 | 1 | no | — |
| 75 | Q8×D73 | — | 4 | 1 | no | — |
| 76 | C2×C4×D73 | — | 4 | 1 | no | — |
| 77 | C2×C4×D73 | — | 4 | 1 | no | — |
| 78 | C2×C4×D73 | D8 | 1 | 1 | yes | characteristic |
| 79 | C2×C4×D73 | D8 | 1 | 1 | yes | characteristic |
| 80 | C2×C4×D73 | C2×D4 | 1 | 1 | yes | characteristic |
| 81 | Dic292 | — | 2 | 1 | no | — |
| 82 | Dic292 | C4⋊C4 | 1 | 2 | yes | complemented |
| 83 | #11924018 | — | 2 | 2 | no | — |
| 84 | #11924018 | — | 2 | 2 | no | — |
| 85 | C2×#10596831 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 86 | C2×#10596831 | C2×D4 | 1 | 1 | yes | characteristic |
| 87 | C8×D73 | — | 2 | 1 | no | — |
| 88 | C8×D73 | — | 2 | 1 | no | — |
| 89 | C8×D73 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C8×D73 | C2×Q8 | 1 | 1 | yes | characteristic |
| 91 | C8×D73 | #41 | 1 | 1 | yes | characteristic |
| 92 | C8×D73 | #41 | 1 | 1 | yes | characteristic |
| 93 | C4⋊Dic73 | — | 2 | 1 | no | — |
| 94 | C4⋊Dic73 | — | 4 | 1 | no | — |
| 95 | #11924007 | — | 4 | 1 | no | — |
| 96 | #11924007 | — | 4 | 1 | no | — |
| 97 | #11924007 | — | 4 | 1 | no | — |
| 98 | C4×Dic73 | — | 4 | 1 | no | — |
| 99 | C4×Dic73 | — | 4 | 1 | no | — |
| 100 | C4×Dic73 | — | 4 | 1 | no | — |
| 101 | C4×Dic73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 102 | C4×Dic73 | SD16 | 1 | 1 | yes | characteristic |
| 103 | C4×Dic73 | SD16 | 1 | 1 | yes | characteristic |
| 104 | C2×Q8×C73 | — | 2 | 1 | no | — |
| 105 | Q16×C73 | — | 2 | 1 | no | — |
| 106 | Q16×C73 | C4⋊C4 | 1 | 2 | yes | complemented |
| 107 | C2×C8×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 108 | C2×C8×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 109 | C4⋊C4×C73 | — | 2 | 1 | no | — |
| 110 | C4⋊C4×C73 | — | 4 | 1 | no | — |
| 111 | C42×C73 | — | 4 | 1 | no | — |
| 112 | C42×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C22×D73 | C2×D8 | 1 | 1 | yes | characteristic |
| 114 | C2×#64408 | — | 8 | 2 | no | — |
| 115 | C2×#64408 | — | 8 | 2 | no | — |
| 116 | C2×#64408 | — | 8 | 2 | no | — |
| 117 | Q8×C73 | — | 2 | 2 | no | — |
| 118 | Q8×C73 | — | 4 | 1 | no | — |
| 119 | C2×C4×C73 | — | 4 | 1 | no | — |
| 120 | C2×C4×C73 | — | 4 | 1 | no | — |
| 121 | C2×C4×C73 | #102 | 1 | 1 | yes | characteristic |
| 122 | C2×C4×C73 | #102 | 1 | 1 | yes | characteristic |
| 123 | C2×C4×C73 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 124 | C2×Dic73 | — | 4 | 1 | no | — |
| 125 | C2×Dic73 | — | 4 | 1 | no | — |
| 126 | C2×Dic73 | #102 | 1 | 1 | yes | characteristic |
| 127 | C2×Dic73 | #102 | 1 | 1 | yes | characteristic |
| 128 | C2×Dic73 | C2×SD16 | 1 | 1 | yes | characteristic |
| 129 | C4×D73 | — | 2 | 1 | no | — |
| 130 | C4×D73 | — | 2 | 1 | no | — |
| 131 | C4×D73 | — | 4 | 2 | no | — |
| 132 | C4×D73 | — | 4 | 2 | no | — |
| 133 | C4×D73 | — | 8 | 1 | no | — |
| 134 | C4×D73 | — | 8 | 1 | no | — |
| 135 | C4×D73 | SD32 | 1 | 2 | yes | — |
| 136 | C4×D73 | Q32 | 1 | 2 | yes | — |
| 137 | C4×D73 | #121 | 1 | 1 | yes | characteristic |
| 138 | C4×D73 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 139 | C4×D73 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 140 | C4×D73 | #137 | 1 | 1 | yes | characteristic |
| 141 | Dic146 | — | 2 | 2 | no | — |
| 142 | Dic146 | — | 4 | 1 | no | — |
| 143 | Dic146 | — | 4 | 2 | no | — |
| 144 | Dic146 | — | 4 | 2 | no | — |
| 145 | C8×C73 | — | 2 | 1 | no | — |
| 146 | C8×C73 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 147 | C8×C73 | #117 | 1 | 1 | yes | characteristic |
| 148 | #10596831 | — | 2 | 1 | no | — |
| 149 | #10596831 | #121 | 1 | 1 | yes | characteristic |
| 150 | #10596831 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 151 | C22×C73 | C2×#102 | 1 | 1 | yes | characteristic |
| 152 | C2×D73 | #459 | 1 | 1 | yes | characteristic |
| 153 | C2×D73 | #474 | 1 | 1 | yes | characteristic |
| 154 | C2×D73 | C2×SD32 | 1 | 1 | yes | characteristic |
| 155 | C2×D73 | C2×Q32 | 1 | 1 | yes | characteristic |
| 156 | C2×D73 | #509 | 1 | 1 | yes | characteristic |
| 157 | C2×D73 | #510 | 1 | 1 | yes | characteristic |
| 158 | #64408 | — | 16 | 2 | no | — |
| 159 | C4×C73 | — | 2 | 1 | no | — |
| 160 | C4×C73 | — | 4 | 2 | no | — |
| 161 | C4×C73 | — | 8 | 1 | no | — |
| 162 | C4×C73 | #358 | 1 | 2 | yes | complemented |
| 163 | C4×C73 | #380 | 1 | 1 | yes | characteristic |
| 164 | C4×C73 | #417 | 1 | 1 | yes | characteristic |
| 165 | Dic73 | — | 2 | 1 | no | — |
| 166 | Dic73 | — | 4 | 2 | no | — |
| 167 | Dic73 | — | 8 | 1 | no | — |
| 168 | Dic73 | #358 | 1 | 2 | yes | complemented |
| 169 | Dic73 | #461 | 1 | 1 | yes | characteristic |
| 170 | Dic73 | #476 | 1 | 1 | yes | characteristic |
| 171 | #12812 | — | 73 | 1 | no | maximal, Sylow |
| 172 | C2×C73 | #1802 | 1 | 1 | yes | characteristic |
| 173 | C2×C73 | C2×#358 | 1 | 1 | yes | characteristic |
| 174 | C2×C73 | #2139 | 1 | 1 | yes | characteristic |
| 175 | D73 | #2207 | 1 | 1 | yes | characteristic |
| 176 | D73 | #2209 | 1 | 1 | yes | characteristic |
| 177 | D73 | #2225 | 1 | 1 | yes | characteristic |
| 178 | D73 | #2227 | 1 | 1 | yes | characteristic |
| 179 | C2×C4×Q16 | — | 73 | 1 | no | — |
| 180 | C2×C4⋊C16 | — | 73 | 1 | no | — |
| 181 | C2×#358 | — | 73 | 2 | no | — |
| 182 | #1845 | — | 73 | 1 | no | — |
| 183 | #1380 | — | 73 | 2 | no | — |
| 184 | C73 | #12812 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 185 | C22×Q16 | — | 73 | 1 | no | — |
| 186 | C2×C4×Q8 | — | 146 | 1 | no | — |
| 187 | C22×C16 | — | 73 | 2 | no | — |
| 188 | C4×Q16 | — | 73 | 1 | no | — |
| 189 | C4×Q16 | — | 73 | 1 | no | — |
| 190 | C4×Q16 | — | 73 | 1 | no | — |
| 191 | C4×Q16 | — | 146 | 1 | no | — |
| 192 | C4×Q16 | — | 146 | 1 | no | — |
| 193 | C4×Q16 | #64408 | 1 | 1 | yes | characteristic, complemented |
| 194 | C2×#107 | — | 73 | 1 | no | — |
| 195 | C2×#107 | — | 73 | 2 | no | — |
| 196 | C2×#107 | — | 146 | 1 | no | — |
| 197 | C2×#103 | — | 146 | 1 | no | — |
| 198 | C2×C4×C8 | — | 73 | 1 | no | — |
| 199 | #384 | — | 146 | 1 | no | — |
| 200 | C4⋊C16 | — | 146 | 1 | no | — |
| 201 | C4⋊C16 | — | 146 | 1 | no | — |
| 202 | #358 | — | 146 | 4 | no | — |
| 203 | C22×Q8 | — | 146 | 1 | no | — |
| 204 | C2×Q16 | — | 73 | 2 | no | — |
| 205 | C2×Q16 | — | 73 | 2 | no | — |
| 206 | C2×Q16 | — | 73 | 1 | no | — |
| 207 | C2×Q16 | — | 146 | 1 | no | — |
| 208 | C2×Q16 | — | 146 | 1 | no | — |
| 209 | C2×Q16 | — | 146 | 1 | no | — |
| 210 | C2×Q16 | C2×#64408 | 1 | 1 | yes | characteristic |
| 211 | C22×C8 | — | 73 | 1 | no | — |
| 212 | C22×C8 | — | 73 | 1 | no | — |
| 213 | C4×Q8 | — | 2 | 1 | no | — |
| 214 | C4×Q8 | — | 292 | 1 | no | — |
| 215 | C4×Q8 | — | 292 | 1 | no | — |
| 216 | C4×Q8 | — | 146 | 1 | no | — |
| 217 | C4×Q8 | — | 146 | 1 | no | — |
| 218 | C4×Q8 | — | 146 | 1 | no | — |
| 219 | C2×C4⋊C4 | — | 292 | 1 | no | — |
| 220 | C2×C4⋊C4 | — | 292 | 1 | no | — |
| 221 | C2×C4⋊C4 | — | 292 | 1 | no | — |
| 222 | C2×C4⋊C4 | — | 146 | 1 | no | — |
| 223 | C2×C4⋊C4 | — | 146 | 2 | no | — |
| 224 | C2×C42 | — | 292 | 1 | no | — |
| 225 | C2×C42 | — | 73 | 1 | no | — |
| 226 | C2×C16 | — | 146 | 2 | no | — |
| 227 | C2×C16 | — | 146 | 2 | no | — |
| 228 | C2×C16 | — | 146 | 2 | no | — |
| 229 | #107 | — | 292 | 2 | no | — |
| 230 | #107 | — | 73 | 1 | no | — |
| 231 | #107 | — | 146 | 1 | no | — |
| 232 | #107 | — | 146 | 2 | no | — |
| 233 | #107 | — | 146 | 2 | no | — |
| 234 | #107 | C2×#64408 | 1 | 1 | yes | characteristic |
| 235 | #103 | — | 2 | 1 | no | — |
| 236 | #103 | — | 146 | 1 | no | — |
| 237 | #103 | — | 146 | 1 | no | — |
| 238 | #103 | — | 146 | 1 | no | — |
| 239 | C4×C8 | — | 73 | 1 | no | — |
| 240 | C4×C8 | — | 73 | 1 | no | — |
| 241 | C4×C8 | — | 73 | 1 | no | — |
| 242 | C4×C8 | C2×#64408 | 1 | 1 | yes | characteristic |
| 243 | C2×Q8 | — | 2 | 1 | no | — |
| 244 | C2×Q8 | — | 292 | 1 | no | — |
| 245 | C2×Q8 | — | 292 | 1 | no | — |
| 246 | C2×Q8 | — | 292 | 1 | no | — |
| 247 | C2×Q8 | — | 146 | 2 | no | — |
| 248 | C2×Q8 | — | 146 | 2 | no | — |
| 249 | C2×Q8 | — | 146 | 1 | no | — |
| 250 | C22×C4 | — | 292 | 1 | no | — |
| 251 | C22×C4 | — | 292 | 1 | no | — |
| 252 | C22×C4 | — | 292 | 2 | no | — |
| 253 | C22×C4 | — | 73 | 1 | no | — |
| 254 | C22×C4 | — | 73 | 1 | no | — |
| 255 | C22×C4 | — | 73 | 1 | no | — |
| 256 | Q16 | — | 2 | 1 | no | — |
| 257 | Q16 | — | 73 | 2 | no | — |
| 258 | Q16 | — | 146 | 2 | no | — |
| 259 | Q16 | — | 146 | 2 | no | — |
| 260 | Q16 | — | 146 | 1 | no | — |
| 261 | Q16 | C4⋊#64408 | 1 | 2 | yes | complemented |
| 262 | C2×C8 | — | 73 | 1 | no | — |
| 263 | C2×C8 | — | 73 | 1 | no | — |
| 264 | C2×C8 | — | 73 | 1 | no | — |
| 265 | C2×C8 | — | 73 | 1 | no | — |
| 266 | C2×C8 | — | 73 | 1 | no | — |
| 267 | C2×C8 | — | 73 | 1 | no | — |
| 268 | C2×C8 | — | 146 | 1 | no | — |
| 269 | C2×C8 | — | 146 | 1 | no | — |
| 270 | C2×C8 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 271 | C2×C8 | C22×#64408 | 1 | 1 | yes | characteristic |
| 272 | C4⋊C4 | — | 2 | 1 | no | — |
| 273 | C4⋊C4 | — | 4 | 1 | no | — |
| 274 | C4⋊C4 | — | 292 | 1 | no | — |
| 275 | C4⋊C4 | — | 292 | 1 | no | — |
| 276 | C4⋊C4 | — | 292 | 1 | no | — |
| 277 | C4⋊C4 | — | 292 | 1 | no | — |
| 278 | C4⋊C4 | — | 292 | 2 | no | — |
| 279 | C4⋊C4 | — | 292 | 2 | no | — |
| 280 | C4⋊C4 | — | 584 | 2 | no | — |
| 281 | C4⋊C4 | — | 584 | 2 | no | — |
| 282 | C4⋊C4 | — | 146 | 1 | no | — |
| 283 | C42 | — | 4 | 1 | no | — |
| 284 | C42 | — | 292 | 1 | no | — |
| 285 | C42 | — | 292 | 1 | no | — |
| 286 | C42 | — | 292 | 1 | no | — |
| 287 | C42 | — | 73 | 1 | no | — |
| 288 | C42 | — | 73 | 1 | no | — |
| 289 | C42 | — | 73 | 1 | no | — |
| 290 | C42 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 291 | C16 | — | 292 | 2 | no | — |
| 292 | C23 | — | 73 | 1 | no | — |
| 293 | Q8 | — | 2 | 2 | no | — |
| 294 | Q8 | — | 4 | 1 | no | — |
| 295 | Q8 | — | 292 | 2 | no | — |
| 296 | Q8 | — | 292 | 2 | no | — |
| 297 | Q8 | — | 292 | 1 | no | — |
| 298 | Q8 | — | 146 | 2 | no | — |
| 299 | C2×C4 | — | 4 | 1 | no | — |
| 300 | C2×C4 | — | 4 | 1 | no | — |
| 301 | C2×C4 | — | 292 | 2 | no | — |
| 302 | C2×C4 | — | 292 | 2 | no | — |
| 303 | C2×C4 | — | 292 | 1 | no | — |
| 304 | C2×C4 | — | 292 | 1 | no | — |
| 305 | C2×C4 | — | 584 | 1 | no | — |
| 306 | C2×C4 | — | 584 | 1 | no | — |
| 307 | C2×C4 | — | 584 | 2 | no | — |
| 308 | C2×C4 | — | 584 | 2 | no | — |
| 309 | C2×C4 | — | 584 | 2 | no | — |
| 310 | C2×C4 | — | 73 | 1 | no | — |
| 311 | C2×C4 | — | 73 | 1 | no | — |
| 312 | C2×C4 | — | 73 | 2 | no | — |
| 313 | C2×C4 | — | 73 | 2 | no | — |
| 314 | C2×C4 | — | 73 | 1 | no | — |
| 315 | C2×C4 | — | 73 | 1 | no | — |
| 316 | C2×C4 | — | 73 | 1 | no | — |
| 317 | C2×C4 | — | 73 | 1 | no | — |
| 318 | C2×C4 | — | 73 | 1 | no | — |
| 319 | C2×C4 | — | 146 | 1 | no | — |
| 320 | C2×C4 | — | 146 | 1 | no | — |
| 321 | C2×C4 | #14556653 | 1 | 1 | yes | characteristic |
| 322 | C2×C4 | #14556653 | 1 | 1 | yes | characteristic |
| 323 | C2×C4 | C2×C22⋊#64408 | 1 | 1 | yes | characteristic |
| 324 | C8 | — | 2 | 1 | no | — |
| 325 | C8 | — | 73 | 1 | no | — |
| 326 | C8 | — | 73 | 1 | no | — |
| 327 | C8 | — | 146 | 1 | no | — |
| 328 | C8 | C2×C4⋊#64408 | 1 | 1 | yes | characteristic |
| 329 | C8 | #14556670 | 1 | 1 | yes | characteristic |
| 330 | C22 | — | 73 | 1 | no | — |
| 331 | C22 | — | 73 | 1 | no | — |
| 332 | C22 | — | 73 | 1 | no | — |
| 333 | C22 | — | 73 | 1 | no | — |
| 334 | C22 | — | 73 | 1 | no | — |
| 335 | C22 | — | 73 | 1 | no | — |
| 336 | C22 | C2×#14556653 | 1 | 1 | yes | characteristic |
| 337 | C4 | — | 2 | 1 | no | — |
| 338 | C4 | — | 4 | 2 | no | — |
| 339 | C4 | — | 8 | 1 | no | — |
| 340 | C4 | — | 292 | 2 | no | — |
| 341 | C4 | — | 584 | 1 | no | — |
| 342 | C4 | — | 73 | 1 | no | — |
| 343 | C4 | — | 73 | 1 | no | — |
| 344 | C4 | — | 73 | 2 | no | — |
| 345 | C4 | — | 1168 | 2 | no | — |
| 346 | C4 | — | 146 | 1 | no | — |
| 347 | C4 | #17989500 | 1 | 2 | yes | complemented |
| 348 | C4 | #17989529 | 1 | 1 | yes | characteristic |
| 349 | C4 | #17989578 | 1 | 1 | yes | characteristic |
| 350 | C2 | — | 73 | 1 | no | — |
| 351 | C2 | — | 73 | 1 | no | — |
| 352 | C2 | — | 73 | 1 | no | — |
| 353 | C2 | — | 73 | 1 | no | — |
| 354 | C2 | #22625799 | 1 | 1 | yes | characteristic |
| 355 | C2 | C2×#17989500 | 1 | 1 | yes | characteristic |
| 356 | C2 | #22626239 | 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