← #33955532
Subgroups — #33955532
Order 18688.
3114 conjugacy classes of subgroups.
The subgroup lattice has 462 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#17989404 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#17989402 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22623712 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #22620426 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #22620424 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #22620420 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #22620386 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #22620355 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | C2×#17988965 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #131×Dic73 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C2×#578×C73 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#14556638 | C22 | 1 | 2 | yes | — |
| 13 | #17989404 | — | 2 | 8 | no | — |
| 14 | #17989402 | — | 2 | 16 | no | — |
| 15 | C2×#14556624 | C22 | 1 | 6 | yes | — |
| 16 | C2×#14556622 | C22 | 1 | 6 | yes | — |
| 17 | C2×#14556621 | C22 | 1 | 6 | yes | — |
| 18 | C2×#14556613 | C22 | 1 | 3 | yes | — |
| 19 | C2×#14556611 | C22 | 1 | 6 | yes | — |
| 20 | C22×Dic292 | C22 | 1 | 3 | yes | — |
| 21 | C22×#11924018 | C22 | 1 | 6 | yes | — |
| 22 | C2×#14556598 | C22 | 1 | 1 | yes | characteristic |
| 23 | Q8×C22⋊D73 | — | 2 | 4 | no | — |
| 24 | #17989236 | — | 2 | 12 | no | — |
| 25 | #17989161 | C22 | 1 | 6 | yes | — |
| 26 | #17989158 | C22 | 1 | 6 | yes | — |
| 27 | #17989133 | C22 | 1 | 6 | yes | — |
| 28 | C2×#14556589 | C22 | 1 | 6 | yes | — |
| 29 | #41×Dic73 | C22 | 1 | 1 | yes | characteristic |
| 30 | #17988980 | C22 | 1 | 12 | yes | — |
| 31 | #17988978 | C22 | 1 | 12 | yes | — |
| 32 | #17988972 | C22 | 1 | 3 | yes | — |
| 33 | #17988970 | C22 | 1 | 3 | yes | — |
| 34 | #17988968 | C22 | 1 | 6 | yes | — |
| 35 | #17988965 | C22 | 1 | 6 | yes | — |
| 36 | #17988965 | C22 | 1 | 6 | yes | — |
| 37 | #17988965 | C22 | 1 | 3 | yes | — |
| 38 | #17988965 | C22 | 1 | 6 | yes | — |
| 39 | #17988962 | C22 | 1 | 1 | yes | characteristic |
| 40 | #17988958 | C22 | 1 | 6 | yes | — |
| 41 | #17988545 | C22 | 1 | 3 | yes | — |
| 42 | #17988542 | C22 | 1 | 3 | yes | — |
| 43 | M16×Dic73 | C22 | 1 | 3 | yes | — |
| 44 | C2×C8×Dic73 | C22 | 1 | 3 | yes | — |
| 45 | C2×2−1+4×C73 | C22 | 1 | 2 | yes | — |
| 46 | #578×C73 | — | 2 | 8 | no | — |
| 47 | C2×#137×C73 | C22 | 1 | 6 | yes | — |
| 48 | C2×#135×C73 | C22 | 1 | 3 | yes | — |
| 49 | C22×Q16×C73 | C22 | 1 | 3 | yes | — |
| 50 | C2×#131×C73 | C22 | 1 | 1 | yes | characteristic |
| 51 | #14556638 | — | 2 | 8 | no | — |
| 52 | #14556638 | — | 2 | 8 | no | — |
| 53 | C2×#11924028 | C23 | 1 | 6 | yes | — |
| 54 | C2×#11924027 | — | 2 | 6 | no | — |
| 55 | C22×Dic146 | C23 | 1 | 6 | yes | — |
| 56 | C2×Q8×D73 | — | 2 | 2 | no | — |
| 57 | #14556624 | — | 2 | 24 | no | — |
| 58 | #14556622 | — | 2 | 24 | no | — |
| 59 | #14556621 | — | 2 | 24 | no | — |
| 60 | #14556613 | — | 2 | 12 | no | — |
| 61 | #14556611 | — | 2 | 24 | no | — |
| 62 | C2×Dic292 | — | 2 | 12 | no | — |
| 63 | C2×Dic292 | C23 | 1 | 6 | yes | — |
| 64 | C2×Dic292 | C23 | 1 | 3 | yes | — |
| 65 | C2×#11924018 | — | 2 | 24 | no | — |
| 66 | C2×#11924018 | C23 | 1 | 12 | yes | — |
| 67 | C2×#11924018 | C23 | 1 | 6 | yes | — |
| 68 | C2×#11924017 | C23 | 1 | 6 | yes | — |
| 69 | C2×#11924016 | C23 | 1 | 6 | yes | — |
| 70 | C2×#11924015 | C23 | 1 | 6 | yes | — |
| 71 | C2×D584 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#11924013 | C23 | 1 | 2 | yes | — |
| 73 | #14556598 | D4 | 1 | 8 | yes | complemented |
| 74 | C2×#11924012 | C23 | 1 | 3 | yes | — |
| 75 | C22×#10596831 | C23 | 1 | 3 | yes | — |
| 76 | #14556589 | — | 2 | 12 | no | — |
| 77 | #14556589 | C23 | 1 | 6 | yes | — |
| 78 | #14556589 | C23 | 1 | 12 | yes | — |
| 79 | #14556587 | C23 | 1 | 2 | yes | — |
| 80 | #14556580 | C23 | 1 | 6 | yes | — |
| 81 | #14556578 | C23 | 1 | 6 | yes | — |
| 82 | #14556574 | — | 2 | 12 | no | — |
| 83 | #14556572 | — | 2 | 12 | no | — |
| 84 | #14556570 | — | 2 | 12 | no | — |
| 85 | #14556567 | — | 2 | 12 | no | — |
| 86 | #14556563 | — | 2 | 12 | no | — |
| 87 | Q8×Dic73 | D4 | 1 | 2 | yes | — |
| 88 | D4×Dic73 | D4 | 1 | 6 | yes | — |
| 89 | C4×C22⋊D73 | — | 2 | 12 | no | — |
| 90 | #14556550 | C23 | 1 | 3 | yes | — |
| 91 | C2×#11924007 | — | 2 | 12 | no | — |
| 92 | C2×C4×Dic73 | C23 | 1 | 3 | yes | — |
| 93 | #14556501 | C23 | 1 | 6 | yes | — |
| 94 | C8×Dic73 | C23 | 1 | 3 | yes | — |
| 95 | C8×Dic73 | C23 | 1 | 1 | yes | characteristic |
| 96 | C8×Dic73 | C23 | 1 | 3 | yes | — |
| 97 | C8×Dic73 | C23 | 1 | 3 | yes | — |
| 98 | 2−1+4×C73 | — | 2 | 8 | no | — |
| 99 | 2−1+4×C73 | — | 2 | 8 | no | — |
| 100 | C2×#41×C73 | — | 2 | 6 | no | — |
| 101 | C2×#41×C73 | C23 | 1 | 6 | yes | — |
| 102 | C2×#41×C73 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×Q8×C73 | — | 2 | 2 | no | — |
| 104 | C22×Q8×C73 | C23 | 1 | 6 | yes | — |
| 105 | #137×C73 | — | 2 | 24 | no | — |
| 106 | #135×C73 | — | 2 | 12 | no | — |
| 107 | C2×Q16×C73 | — | 2 | 12 | no | — |
| 108 | C2×Q16×C73 | C23 | 1 | 3 | yes | — |
| 109 | C2×Q16×C73 | C23 | 1 | 6 | yes | — |
| 110 | C2×SD16×C73 | C23 | 1 | 6 | yes | — |
| 111 | C2×D8×C73 | C23 | 1 | 1 | yes | characteristic |
| 112 | #131×C73 | D4 | 1 | 8 | yes | complemented |
| 113 | C2×M16×C73 | C23 | 1 | 3 | yes | — |
| 114 | C22×C8×C73 | C23 | 1 | 3 | yes | — |
| 115 | #11924028 | — | 2 | 12 | no | — |
| 116 | #11924028 | — | 2 | 12 | no | — |
| 117 | #11924027 | — | 4 | 24 | no | — |
| 118 | C2×Dic146 | — | 2 | 12 | no | — |
| 119 | C2×Dic146 | — | 2 | 12 | no | — |
| 120 | C2×Dic146 | — | 2 | 6 | no | — |
| 121 | C2×Dic146 | C24 | 1 | 6 | yes | — |
| 122 | Q8×D73 | — | 4 | 8 | no | — |
| 123 | C2×D292 | C24 | 1 | 2 | yes | — |
| 124 | C2×C22⋊D73 | — | 2 | 6 | no | — |
| 125 | C2×C22⋊D73 | — | 2 | 4 | no | — |
| 126 | C22×Dic73 | — | 2 | 6 | no | — |
| 127 | C22×Dic73 | C2×D4 | 1 | 6 | yes | — |
| 128 | C2×C4×D73 | — | 2 | 6 | no | — |
| 129 | Dic292 | — | 2 | 6 | no | — |
| 130 | Dic292 | — | 2 | 12 | no | — |
| 131 | #11924018 | — | 2 | 12 | no | — |
| 132 | #11924018 | — | 2 | 24 | no | — |
| 133 | #11924017 | — | 2 | 12 | no | — |
| 134 | #11924016 | — | 2 | 12 | no | — |
| 135 | #11924015 | — | 2 | 12 | no | — |
| 136 | D584 | — | 2 | 2 | no | — |
| 137 | #11924013 | — | 2 | 4 | no | — |
| 138 | #11924012 | C2×D4 | 1 | 12 | yes | — |
| 139 | C2×#10596831 | C2×D4 | 1 | 12 | yes | — |
| 140 | C2×#10596831 | C24 | 1 | 1 | yes | characteristic |
| 141 | C2×#10596831 | C24 | 1 | 3 | yes | — |
| 142 | C4⋊Dic73 | C2×D4 | 1 | 6 | yes | — |
| 143 | #11924007 | — | 2 | 12 | no | — |
| 144 | #11924007 | — | 2 | 24 | no | — |
| 145 | C22⋊Dic73 | — | 2 | 12 | no | — |
| 146 | C22⋊Dic73 | C2×D4 | 1 | 6 | yes | — |
| 147 | #11924005 | — | 2 | 12 | no | — |
| 148 | C4×Dic73 | C2×D4 | 1 | 6 | yes | — |
| 149 | C4×Dic73 | C24 | 1 | 1 | yes | characteristic |
| 150 | C4×Dic73 | C24 | 1 | 3 | yes | — |
| 151 | #41×C73 | — | 2 | 12 | no | — |
| 152 | #41×C73 | — | 2 | 12 | no | — |
| 153 | #41×C73 | — | 4 | 24 | no | — |
| 154 | #41×C73 | C2×D4 | 1 | 4 | yes | — |
| 155 | #41×C73 | C2×D4 | 1 | 4 | yes | — |
| 156 | C2×Q8×C73 | — | 2 | 6 | no | — |
| 157 | C2×Q8×C73 | — | 2 | 12 | no | — |
| 158 | C2×Q8×C73 | — | 2 | 12 | no | — |
| 159 | C2×Q8×C73 | — | 4 | 8 | no | — |
| 160 | C2×Q8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 161 | C2×Q8×C73 | C24 | 1 | 6 | yes | — |
| 162 | C2×D4×C73 | — | 2 | 6 | no | — |
| 163 | C2×D4×C73 | C2×D4 | 1 | 3 | yes | — |
| 164 | C2×D4×C73 | C24 | 1 | 2 | yes | — |
| 165 | C22×C4×C73 | — | 2 | 6 | no | — |
| 166 | C22×C4×C73 | — | 2 | 6 | no | — |
| 167 | C22×C4×C73 | C24 | 1 | 3 | yes | — |
| 168 | Q16×C73 | — | 2 | 6 | no | — |
| 169 | Q16×C73 | — | 2 | 12 | no | — |
| 170 | SD16×C73 | — | 2 | 12 | no | — |
| 171 | D8×C73 | — | 2 | 2 | no | — |
| 172 | M16×C73 | C2×D4 | 1 | 12 | yes | — |
| 173 | C2×C8×C73 | C2×D4 | 1 | 12 | yes | — |
| 174 | C2×C8×C73 | C24 | 1 | 1 | yes | characteristic |
| 175 | C2×C8×C73 | C24 | 1 | 3 | yes | — |
| 176 | C23×C73 | — | 2 | 2 | no | — |
| 177 | C23×C73 | C22×D4 | 1 | 3 | yes | — |
| 178 | C22×D73 | — | 2 | 2 | no | — |
| 179 | Q8×C73 | — | 2 | 6 | no | — |
| 180 | Q8×C73 | — | 2 | 6 | no | — |
| 181 | Q8×C73 | — | 4 | 12 | no | — |
| 182 | Q8×C73 | #127 | 1 | 4 | yes | — |
| 183 | D4×C73 | — | 2 | 2 | no | — |
| 184 | D4×C73 | — | 2 | 2 | no | — |
| 185 | D4×C73 | — | 4 | 12 | no | — |
| 186 | D4×C73 | #127 | 1 | 12 | yes | — |
| 187 | C2×C4×C73 | — | 2 | 6 | no | — |
| 188 | C2×C4×C73 | — | 4 | 12 | no | — |
| 189 | C2×C4×C73 | — | 4 | 12 | no | — |
| 190 | C2×C4×C73 | C22×D4 | 1 | 3 | yes | — |
| 191 | C2×C4×C73 | C22×D4 | 1 | 6 | yes | — |
| 192 | C2×C4×C73 | C22×D4 | 1 | 6 | yes | — |
| 193 | C2×C4×C73 | C25 | 1 | 1 | yes | characteristic |
| 194 | C22⋊D73 | — | 4 | 12 | no | — |
| 195 | C22⋊D73 | — | 4 | 8 | no | — |
| 196 | C2×Dic73 | — | 2 | 12 | no | — |
| 197 | C2×Dic73 | — | 2 | 6 | no | — |
| 198 | C2×Dic73 | — | 4 | 12 | no | — |
| 199 | C2×Dic73 | C22×D4 | 1 | 6 | yes | — |
| 200 | C2×Dic73 | C22×D4 | 1 | 2 | yes | — |
| 201 | D292 | — | 2 | 2 | no | — |
| 202 | D292 | — | 2 | 2 | no | — |
| 203 | C4×D73 | — | 4 | 12 | no | — |
| 204 | Dic146 | — | 2 | 6 | no | — |
| 205 | Dic146 | — | 2 | 6 | no | — |
| 206 | Dic146 | — | 4 | 12 | no | — |
| 207 | C8×C73 | C22×D4 | 1 | 2 | yes | — |
| 208 | C8×C73 | C22×D4 | 1 | 6 | yes | — |
| 209 | #10596831 | C22×D4 | 1 | 2 | yes | — |
| 210 | #10596831 | C22×D4 | 1 | 6 | yes | — |
| 211 | C22×C73 | — | 2 | 6 | no | — |
| 212 | C22×C73 | — | 4 | 2 | no | — |
| 213 | C22×C73 | — | 4 | 4 | no | — |
| 214 | C22×C73 | C2×#127 | 1 | 6 | yes | — |
| 215 | C22×C73 | C23×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×D73 | — | 4 | 2 | no | — |
| 217 | C2×D73 | — | 4 | 4 | no | — |
| 218 | C4×C73 | — | 4 | 6 | no | — |
| 219 | C4×C73 | C2×#127 | 1 | 6 | yes | — |
| 220 | C4×C73 | C23×D4 | 1 | 1 | yes | characteristic |
| 221 | C4×C73 | C23×D4 | 1 | 1 | yes | characteristic |
| 222 | Dic73 | — | 2 | 6 | no | — |
| 223 | Dic73 | — | 4 | 6 | no | — |
| 224 | Dic73 | #578 | 1 | 4 | yes | complemented |
| 225 | #60648 | — | 73 | 1 | no | maximal, Sylow |
| 226 | C2×C73 | — | 2 | 6 | no | — |
| 227 | C2×C73 | — | 8 | 2 | no | — |
| 228 | C2×C73 | C22×#127 | 1 | 1 | yes | characteristic |
| 229 | C2×C73 | C2×#578 | 1 | 2 | yes | — |
| 230 | D73 | — | 8 | 2 | no | — |
| 231 | C2×#578 | — | 73 | 2 | no | — |
| 232 | C2×#578 | — | 73 | 1 | no | — |
| 233 | C2×#578 | D73 | 1 | 1 | yes | characteristic, complemented |
| 234 | #3499 | — | 73 | 2 | no | — |
| 235 | #3156 | — | 73 | 6 | no | — |
| 236 | #3156 | — | 73 | 3 | no | — |
| 237 | #3156 | — | 73 | 3 | no | — |
| 238 | #3152 | — | 73 | 6 | no | — |
| 239 | #3147 | — | 73 | 3 | no | — |
| 240 | C2×#494 | — | 73 | 3 | no | — |
| 241 | C4×#131 | — | 73 | 1 | no | — |
| 242 | C73 | #60648 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 243 | C2×2−1+4 | — | 73 | 2 | no | — |
| 244 | C2×2−1+4 | C2×D73 | 1 | 2 | yes | — |
| 245 | #578 | — | 2 | 8 | no | — |
| 246 | #578 | — | 146 | 16 | no | — |
| 247 | #578 | — | 146 | 8 | no | — |
| 248 | C2×#137 | — | 73 | 6 | no | — |
| 249 | C2×#137 | — | 73 | 6 | no | — |
| 250 | C2×#137 | — | 73 | 6 | no | — |
| 251 | C2×#137 | C2×D73 | 1 | 6 | yes | — |
| 252 | C2×#135 | — | 73 | 6 | no | — |
| 253 | C2×#135 | — | 73 | 3 | no | — |
| 254 | C2×#135 | C2×D73 | 1 | 3 | yes | — |
| 255 | C22×Q16 | — | 73 | 6 | no | — |
| 256 | C22×Q16 | — | 73 | 3 | no | — |
| 257 | C22×Q16 | C2×D73 | 1 | 3 | yes | — |
| 258 | C2×#131 | — | 73 | 1 | no | — |
| 259 | C2×#131 | C2×D73 | 1 | 1 | yes | characteristic |
| 260 | D4×Q8 | — | 146 | 4 | no | — |
| 261 | #547 | — | 146 | 12 | no | — |
| 262 | #536 | — | 73 | 6 | no | — |
| 263 | #536 | — | 73 | 6 | no | — |
| 264 | #532 | — | 73 | 6 | no | — |
| 265 | C2×C4⋊Q8 | — | 73 | 6 | no | — |
| 266 | C4×#41 | — | 73 | 1 | no | — |
| 267 | #497 | — | 73 | 12 | no | — |
| 268 | #497 | — | 73 | 12 | no | — |
| 269 | #495 | — | 73 | 3 | no | — |
| 270 | #495 | — | 73 | 6 | no | — |
| 271 | #495 | — | 73 | 3 | no | — |
| 272 | #494 | — | 73 | 3 | no | — |
| 273 | #494 | — | 73 | 6 | no | — |
| 274 | #494 | — | 73 | 6 | no | — |
| 275 | #494 | — | 73 | 6 | no | — |
| 276 | #493 | — | 73 | 1 | no | — |
| 277 | #492 | — | 73 | 6 | no | — |
| 278 | #405 | — | 73 | 3 | no | — |
| 279 | #405 | — | 73 | 3 | no | — |
| 280 | C4×M16 | — | 73 | 3 | no | — |
| 281 | C2×C4×C8 | — | 73 | 3 | no | — |
| 282 | 2−1+4 | — | 2 | 8 | no | — |
| 283 | 2−1+4 | — | 2 | 8 | no | — |
| 284 | 2−1+4 | — | 146 | 8 | no | — |
| 285 | 2−1+4 | — | 146 | 8 | no | — |
| 286 | C2×#41 | — | 2 | 6 | no | — |
| 287 | C2×#41 | — | 73 | 6 | no | — |
| 288 | C2×#41 | — | 146 | 6 | no | — |
| 289 | C2×#41 | C22×D73 | 1 | 6 | yes | — |
| 290 | C2×#41 | C22×D73 | 1 | 1 | yes | characteristic |
| 291 | C22×Q8 | — | 2 | 2 | no | — |
| 292 | C22×Q8 | — | 73 | 6 | no | — |
| 293 | C22×Q8 | — | 146 | 2 | no | — |
| 294 | C22×Q8 | C22×D73 | 1 | 6 | yes | — |
| 295 | #137 | — | 2 | 24 | no | — |
| 296 | #137 | — | 146 | 24 | no | — |
| 297 | #137 | — | 146 | 24 | no | — |
| 298 | #137 | — | 146 | 24 | no | — |
| 299 | #135 | — | 2 | 12 | no | — |
| 300 | #135 | — | 146 | 24 | no | — |
| 301 | #135 | — | 146 | 12 | no | — |
| 302 | C2×Q16 | — | 2 | 12 | no | — |
| 303 | C2×Q16 | — | 73 | 6 | no | — |
| 304 | C2×Q16 | — | 73 | 12 | no | — |
| 305 | C2×Q16 | — | 73 | 3 | no | — |
| 306 | C2×Q16 | — | 73 | 6 | no | — |
| 307 | C2×Q16 | — | 146 | 24 | no | — |
| 308 | C2×Q16 | — | 146 | 12 | no | — |
| 309 | C2×Q16 | C22×D73 | 1 | 3 | yes | — |
| 310 | C2×Q16 | C22×D73 | 1 | 6 | yes | — |
| 311 | C2×SD16 | — | 73 | 6 | no | — |
| 312 | C2×SD16 | — | 73 | 6 | no | — |
| 313 | C2×SD16 | — | 73 | 6 | no | — |
| 314 | C2×SD16 | C22×D73 | 1 | 6 | yes | — |
| 315 | C2×D8 | — | 73 | 2 | no | — |
| 316 | C2×D8 | — | 73 | 1 | no | — |
| 317 | C2×D8 | C22×D73 | 1 | 1 | yes | characteristic |
| 318 | #131 | — | 73 | 8 | no | — |
| 319 | #131 | C22⋊D73 | 1 | 8 | yes | complemented |
| 320 | C2×M16 | — | 73 | 3 | no | — |
| 321 | C2×M16 | C22×D73 | 1 | 3 | yes | — |
| 322 | C22×C8 | — | 73 | 3 | no | — |
| 323 | C22×C8 | C22×D73 | 1 | 3 | yes | — |
| 324 | C4⋊Q8 | — | 73 | 6 | no | — |
| 325 | C4⋊Q8 | — | 73 | 12 | no | — |
| 326 | C4⋊Q8 | — | 146 | 12 | no | — |
| 327 | #127 | — | 73 | 2 | no | — |
| 328 | #124 | — | 73 | 6 | no | — |
| 329 | #124 | — | 73 | 6 | no | — |
| 330 | #123 | — | 146 | 12 | no | — |
| 331 | #123 | — | 146 | 12 | no | — |
| 332 | C22⋊Q8 | — | 146 | 12 | no | — |
| 333 | C22⋊Q8 | — | 146 | 12 | no | — |
| 334 | #121 | — | 146 | 12 | no | — |
| 335 | C4×Q8 | — | 73 | 2 | no | — |
| 336 | C4×D4 | — | 73 | 6 | no | — |
| 337 | C4×D4 | — | 146 | 12 | no | — |
| 338 | #117 | — | 73 | 3 | no | — |
| 339 | C2×C4⋊C4 | — | 146 | 12 | no | — |
| 340 | C2×C42 | — | 73 | 3 | no | — |
| 341 | #97 | — | 73 | 6 | no | — |
| 342 | C4×C8 | — | 73 | 1 | no | — |
| 343 | C4×C8 | — | 73 | 3 | no | — |
| 344 | C4×C8 | — | 73 | 3 | no | — |
| 345 | C4×C8 | — | 73 | 3 | no | — |
| 346 | #41 | — | 2 | 12 | no | — |
| 347 | #41 | — | 2 | 12 | no | — |
| 348 | #41 | — | 4 | 24 | no | — |
| 349 | #41 | — | 292 | 24 | no | — |
| 350 | #41 | — | 146 | 12 | no | — |
| 351 | #41 | — | 146 | 12 | no | — |
| 352 | #41 | D4×D73 | 1 | 4 | yes | — |
| 353 | #41 | C2×C22⋊D73 | 1 | 4 | yes | — |
| 354 | C2×Q8 | — | 2 | 6 | no | — |
| 355 | C2×Q8 | — | 2 | 12 | no | — |
| 356 | C2×Q8 | — | 2 | 12 | no | — |
| 357 | C2×Q8 | — | 4 | 8 | no | — |
| 358 | C2×Q8 | — | 292 | 8 | no | — |
| 359 | C2×Q8 | — | 73 | 6 | no | — |
| 360 | C2×Q8 | — | 146 | 12 | no | — |
| 361 | C2×Q8 | — | 146 | 12 | no | — |
| 362 | C2×Q8 | — | 146 | 6 | no | — |
| 363 | C2×Q8 | D4×D73 | 1 | 1 | yes | characteristic |
| 364 | C2×Q8 | C23×D73 | 1 | 6 | yes | — |
| 365 | C2×D4 | — | 2 | 6 | no | — |
| 366 | C2×D4 | — | 73 | 2 | no | — |
| 367 | C2×D4 | — | 146 | 4 | no | — |
| 368 | C2×D4 | — | 146 | 6 | no | — |
| 369 | C2×D4 | D4×D73 | 1 | 3 | yes | — |
| 370 | C2×D4 | C23×D73 | 1 | 2 | yes | — |
| 371 | C22×C4 | — | 2 | 6 | no | — |
| 372 | C22×C4 | — | 2 | 6 | no | — |
| 373 | C22×C4 | — | 73 | 6 | no | — |
| 374 | C22×C4 | — | 146 | 6 | no | — |
| 375 | C22×C4 | — | 146 | 6 | no | — |
| 376 | C22×C4 | C23×D73 | 1 | 3 | yes | — |
| 377 | Q16 | — | 2 | 6 | no | — |
| 378 | Q16 | — | 2 | 12 | no | — |
| 379 | Q16 | — | 146 | 12 | no | — |
| 380 | Q16 | — | 146 | 24 | no | — |
| 381 | Q16 | — | 146 | 6 | no | — |
| 382 | Q16 | — | 146 | 12 | no | — |
| 383 | SD16 | — | 2 | 12 | no | — |
| 384 | SD16 | — | 146 | 12 | no | — |
| 385 | SD16 | — | 146 | 12 | no | — |
| 386 | SD16 | — | 146 | 12 | no | — |
| 387 | D8 | — | 2 | 2 | no | — |
| 388 | D8 | — | 146 | 4 | no | — |
| 389 | D8 | — | 146 | 2 | no | — |
| 390 | M16 | — | 73 | 12 | no | — |
| 391 | M16 | C2×C22⋊D73 | 1 | 12 | yes | — |
| 392 | C2×C8 | — | 73 | 12 | no | — |
| 393 | C2×C8 | — | 73 | 1 | no | — |
| 394 | C2×C8 | — | 73 | 3 | no | — |
| 395 | C2×C8 | C2×C22⋊D73 | 1 | 12 | yes | — |
| 396 | C2×C8 | C23×D73 | 1 | 1 | yes | characteristic |
| 397 | C2×C8 | C23×D73 | 1 | 3 | yes | — |
| 398 | C4⋊C4 | — | 73 | 6 | no | — |
| 399 | C4⋊C4 | — | 146 | 12 | no | — |
| 400 | C4⋊C4 | — | 146 | 24 | no | — |
| 401 | C22⋊C4 | — | 73 | 6 | no | — |
| 402 | C22⋊C4 | — | 146 | 12 | no | — |
| 403 | C22⋊C4 | — | 146 | 12 | no | — |
| 404 | C42 | — | 73 | 6 | no | — |
| 405 | C42 | — | 73 | 1 | no | — |
| 406 | C42 | — | 73 | 3 | no | — |
| 407 | C23 | — | 2 | 2 | no | — |
| 408 | C23 | — | 146 | 2 | no | — |
| 409 | C23 | C2×D4×D73 | 1 | 3 | yes | — |
| 410 | Q8 | — | 2 | 6 | no | — |
| 411 | Q8 | — | 2 | 6 | no | — |
| 412 | Q8 | — | 4 | 12 | no | — |
| 413 | Q8 | — | 292 | 12 | no | — |
| 414 | Q8 | — | 146 | 6 | no | — |
| 415 | Q8 | — | 146 | 6 | no | — |
| 416 | Q8 | #14556587 | 1 | 4 | yes | — |
| 417 | D4 | — | 2 | 2 | no | — |
| 418 | D4 | — | 2 | 2 | no | — |
| 419 | D4 | — | 4 | 12 | no | — |
| 420 | D4 | — | 292 | 12 | no | — |
| 421 | D4 | — | 292 | 8 | no | — |
| 422 | D4 | — | 146 | 2 | no | — |
| 423 | D4 | — | 146 | 2 | no | — |
| 424 | D4 | #14556587 | 1 | 12 | yes | — |
| 425 | C2×C4 | — | 2 | 6 | no | — |
| 426 | C2×C4 | — | 4 | 12 | no | — |
| 427 | C2×C4 | — | 4 | 12 | no | — |
| 428 | C2×C4 | — | 292 | 12 | no | — |
| 429 | C2×C4 | — | 292 | 12 | no | — |
| 430 | C2×C4 | — | 73 | 2 | no | — |
| 431 | C2×C4 | — | 73 | 6 | no | — |
| 432 | C2×C4 | — | 146 | 6 | no | — |
| 433 | C2×C4 | — | 146 | 12 | no | — |
| 434 | C2×C4 | C2×D4×D73 | 1 | 3 | yes | — |
| 435 | C2×C4 | C2×D4×D73 | 1 | 6 | yes | — |
| 436 | C2×C4 | C22×C22⋊D73 | 1 | 6 | yes | — |
| 437 | C2×C4 | C24×D73 | 1 | 1 | yes | characteristic |
| 438 | C8 | — | 73 | 2 | no | — |
| 439 | C8 | — | 73 | 6 | no | — |
| 440 | C8 | C22×C22⋊D73 | 1 | 2 | yes | — |
| 441 | C8 | C22×C22⋊D73 | 1 | 6 | yes | — |
| 442 | C22 | — | 2 | 6 | no | — |
| 443 | C22 | — | 4 | 4 | no | — |
| 444 | C22 | — | 4 | 2 | no | — |
| 445 | C22 | — | 292 | 4 | no | — |
| 446 | C22 | — | 292 | 2 | no | — |
| 447 | C22 | C2×#14556587 | 1 | 6 | yes | — |
| 448 | C22 | C22×D4×D73 | 1 | 1 | yes | characteristic |
| 449 | C4 | — | 4 | 6 | no | — |
| 450 | C4 | — | 292 | 6 | no | — |
| 451 | C4 | — | 73 | 4 | no | — |
| 452 | C4 | — | 146 | 6 | no | — |
| 453 | C4 | C2×#14556587 | 1 | 6 | yes | — |
| 454 | C4 | C22×D4×D73 | 1 | 1 | yes | characteristic |
| 455 | C4 | C23×C22⋊D73 | 1 | 1 | yes | characteristic |
| 456 | C2 | — | 2 | 6 | no | — |
| 457 | C2 | — | 8 | 2 | no | — |
| 458 | C2 | — | 584 | 2 | no | — |
| 459 | C2 | C22×#14556587 | 1 | 1 | yes | characteristic |
| 460 | C2 | #578×D73 | 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