Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
808 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 808 conjugacy classes of subgroups — too many to draw. Only its 141 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 | #564×D73 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22621116 | C2 | 1 | 2 | yes | maximal |
| 3 | #22620330 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #22609261 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22609260 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22609259 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22609232 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #22609232 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22608556 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22608531 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C73×#1658 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C73⋊#564 | — | 2 | 2 | no | — |
| 13 | C73⋊#564 | — | 2 | 2 | no | — |
| 14 | C73⋊#564 | — | 2 | 2 | no | — |
| 15 | C73⋊#564 | C22 | 1 | 1 | yes | characteristic |
| 16 | C73⋊#564 | C22 | 1 | 2 | yes | — |
| 17 | #17989135 | C22 | 1 | 1 | yes | characteristic |
| 18 | #125×D73 | — | 2 | 2 | no | — |
| 19 | #125×D73 | — | 2 | 2 | no | — |
| 20 | #125×D73 | — | 2 | 2 | no | — |
| 21 | #125×D73 | C22 | 1 | 2 | yes | — |
| 22 | #125×D73 | C22 | 1 | 1 | yes | characteristic |
| 23 | #17988997 | C22 | 1 | 2 | yes | — |
| 24 | #17988996 | C22 | 1 | 2 | yes | — |
| 25 | #17988957 | C22 | 1 | 1 | yes | characteristic |
| 26 | #17988956 | C22 | 1 | 1 | yes | characteristic |
| 27 | #17988951 | C22 | 1 | 1 | yes | characteristic |
| 28 | #17988951 | C22 | 1 | 2 | yes | — |
| 29 | #17988940 | — | 2 | 2 | no | — |
| 30 | #17988904 | — | 2 | 2 | no | — |
| 31 | #17988899 | — | 2 | 2 | no | — |
| 32 | #17988889 | — | 2 | 2 | no | — |
| 33 | #17988885 | — | 2 | 2 | no | — |
| 34 | #17988642 | C22 | 1 | 2 | yes | — |
| 35 | #17988585 | — | 2 | 2 | no | — |
| 36 | #17988539 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17988329 | C22 | 1 | 2 | yes | — |
| 38 | #17988329 | C22 | 1 | 1 | yes | characteristic |
| 39 | #17988328 | C22 | 1 | 2 | yes | — |
| 40 | #17988328 | C22 | 1 | 2 | yes | — |
| 41 | #17988328 | C22 | 1 | 2 | yes | — |
| 42 | #564×C73 | C22 | 1 | 1 | yes | characteristic |
| 43 | #490×C73 | C22 | 1 | 1 | yes | characteristic |
| 44 | #490×C73 | C22 | 1 | 2 | yes | — |
| 45 | #330×C73 | C22 | 1 | 1 | yes | characteristic |
| 46 | #330×C73 | C22 | 1 | 2 | yes | — |
| 47 | C2×#11924027 | — | 2 | 1 | no | — |
| 48 | C2×#11924011 | — | 2 | 1 | no | — |
| 49 | #14556591 | C23 | 1 | 1 | yes | characteristic |
| 50 | #14556583 | — | 2 | 2 | no | — |
| 51 | #14556583 | — | 2 | 2 | no | — |
| 52 | #14556583 | — | 2 | 2 | no | — |
| 53 | #14556583 | C23 | 1 | 1 | yes | characteristic |
| 54 | #14556583 | C23 | 1 | 2 | yes | — |
| 55 | #14556582 | — | 2 | 2 | no | — |
| 56 | #14556582 | — | 2 | 2 | no | — |
| 57 | #14556582 | — | 2 | 2 | no | — |
| 58 | #14556582 | — | 2 | 2 | no | — |
| 59 | #14556582 | — | 2 | 2 | no | — |
| 60 | #14556582 | — | 2 | 2 | no | — |
| 61 | #14556582 | D4 | 1 | 2 | yes | — |
| 62 | #14556582 | D4 | 1 | 2 | yes | — |
| 63 | #14556582 | D4 | 1 | 2 | yes | — |
| 64 | #14556581 | — | 2 | 2 | no | — |
| 65 | #14556581 | — | 2 | 2 | no | — |
| 66 | #14556581 | — | 2 | 2 | no | — |
| 67 | #14556581 | — | 2 | 2 | no | — |
| 68 | #14556581 | — | 2 | 2 | no | — |
| 69 | #14556581 | — | 2 | 2 | no | — |
| 70 | #14556581 | — | 2 | 2 | no | — |
| 71 | #14556581 | — | 2 | 2 | no | — |
| 72 | #14556581 | — | 2 | 2 | no | — |
| 73 | #14556581 | — | 2 | 2 | no | — |
| 74 | #14556581 | — | 2 | 2 | no | — |
| 75 | #14556581 | — | 2 | 2 | no | — |
| 76 | #14556581 | — | 2 | 2 | no | — |
| 77 | #14556581 | — | 2 | 2 | no | — |
| 78 | #14556581 | — | 2 | 2 | no | — |
| 79 | #14556578 | — | 2 | 1 | no | — |
| 80 | #14556562 | — | 2 | 2 | no | — |
| 81 | D4×Dic73 | — | 2 | 2 | no | — |
| 82 | C4⋊C4×D73 | — | 2 | 2 | no | — |
| 83 | C4⋊C4×D73 | — | 2 | 2 | no | — |
| 84 | C4⋊C4×D73 | — | 2 | 2 | no | — |
| 85 | C4⋊C4×D73 | — | 2 | 2 | no | — |
| 86 | C4⋊C4×D73 | — | 2 | 2 | no | — |
| 87 | C4⋊C4×D73 | — | 2 | 2 | no | — |
| 88 | C4⋊C4×D73 | D4 | 1 | 2 | yes | — |
| 89 | C4⋊C4×D73 | D4 | 1 | 2 | yes | — |
| 90 | C4⋊C4×D73 | D4 | 1 | 2 | yes | — |
| 91 | C42×D73 | — | 2 | 2 | no | — |
| 92 | C42×D73 | C23 | 1 | 1 | yes | characteristic |
| 93 | #14556525 | — | 2 | 2 | no | — |
| 94 | #14556524 | — | 2 | 2 | no | — |
| 95 | #14556523 | — | 2 | 2 | no | — |
| 96 | #14556522 | — | 2 | 2 | no | — |
| 97 | #14556520 | — | 2 | 2 | no | — |
| 98 | #14556516 | — | 2 | 2 | no | — |
| 99 | #14556514 | — | 2 | 2 | no | — |
| 100 | #14556512 | — | 2 | 2 | no | — |
| 101 | #14556512 | — | 2 | 2 | no | — |
| 102 | #14556512 | — | 2 | 2 | no | — |
| 103 | #14556503 | — | 2 | 2 | no | — |
| 104 | #14556502 | C23 | 1 | 2 | yes | — |
| 105 | #14556502 | C23 | 1 | 1 | yes | characteristic |
| 106 | C8×Dic73 | — | 2 | 1 | no | — |
| 107 | #127×C73 | C23 | 1 | 1 | yes | characteristic |
| 108 | #125×C73 | — | 2 | 2 | no | — |
| 109 | #125×C73 | — | 2 | 2 | no | — |
| 110 | #125×C73 | — | 2 | 2 | no | — |
| 111 | #125×C73 | C23 | 1 | 1 | yes | characteristic |
| 112 | #125×C73 | C23 | 1 | 2 | yes | — |
| 113 | #102×C73 | — | 2 | 2 | no | — |
| 114 | #102×C73 | — | 2 | 2 | no | — |
| 115 | #102×C73 | — | 2 | 2 | no | — |
| 116 | #97×C73 | C23 | 1 | 2 | yes | — |
| 117 | #97×C73 | C23 | 1 | 1 | yes | characteristic |
| 118 | #11924027 | — | 4 | 4 | no | — |
| 119 | C2×Dic146 | — | 2 | 1 | no | — |
| 120 | C2×C22⋊D73 | — | 4 | 1 | no | — |
| 121 | C22×Dic73 | — | 4 | 1 | no | — |
| 122 | C2×C4×D73 | — | 2 | 2 | no | — |
| 123 | C2×C4×D73 | — | 2 | 2 | no | — |
| 124 | C2×C4×D73 | — | 2 | 2 | no | — |
| 125 | C2×C4×D73 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C2×C4×D73 | C2×D4 | 1 | 2 | yes | — |
| 127 | #11924011 | — | 4 | 2 | no | — |
| 128 | C2×#10596831 | — | 2 | 1 | no | — |
| 129 | C2×#10596831 | — | 2 | 2 | no | — |
| 130 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 131 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 132 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 133 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 134 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 135 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 136 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 137 | C4⋊Dic73 | C2×D4 | 1 | 2 | yes | — |
| 138 | C4⋊Dic73 | C2×D4 | 1 | 2 | yes | — |
| 139 | C4⋊Dic73 | C2×D4 | 1 | 2 | yes | — |
| 140 | #11924007 | — | 2 | 2 | no | — |
| 141 | #11924007 | — | 2 | 2 | no | — |
| 142 | #11924007 | — | 2 | 2 | no | — |
| 143 | #11924007 | — | 2 | 2 | no | — |
| 144 | #11924007 | — | 2 | 2 | no | — |
| 145 | #11924007 | — | 2 | 2 | no | — |
| 146 | #11924007 | — | 2 | 2 | no | — |
| 147 | #11924007 | — | 2 | 2 | no | — |
| 148 | #11924007 | — | 2 | 2 | no | — |
| 149 | #11924007 | — | 2 | 2 | no | — |
| 150 | #11924007 | — | 2 | 2 | no | — |
| 151 | #11924007 | — | 2 | 2 | no | — |
| 152 | #11924007 | — | 2 | 2 | no | — |
| 153 | #11924007 | — | 2 | 2 | no | — |
| 154 | #11924007 | — | 2 | 2 | no | — |
| 155 | C22⋊Dic73 | — | 4 | 2 | no | — |
| 156 | C4×Dic73 | — | 2 | 2 | no | — |
| 157 | C4×Dic73 | — | 2 | 2 | no | — |
| 158 | C4×Dic73 | — | 2 | 2 | no | — |
| 159 | C4×Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C4×Dic73 | C2×D4 | 1 | 2 | yes | — |
| 161 | C2×D4×C73 | — | 2 | 2 | no | — |
| 162 | C2×D4×C73 | — | 2 | 1 | no | — |
| 163 | C2×C8×C73 | — | 2 | 1 | no | — |
| 164 | C2×C8×C73 | — | 2 | 2 | no | — |
| 165 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 166 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 167 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 168 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 169 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 170 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 171 | C4⋊C4×C73 | C2×D4 | 1 | 2 | yes | — |
| 172 | C4⋊C4×C73 | C2×D4 | 1 | 2 | yes | — |
| 173 | C4⋊C4×C73 | C2×D4 | 1 | 2 | yes | — |
| 174 | C42×C73 | — | 2 | 2 | no | — |
| 175 | C42×C73 | C24 | 1 | 1 | yes | characteristic |
| 176 | C23×C73 | — | 4 | 1 | no | — |
| 177 | C22×D73 | #120 | 1 | 1 | yes | characteristic |
| 178 | D4×C73 | — | 4 | 4 | no | — |
| 179 | D4×C73 | — | 4 | 2 | no | — |
| 180 | C2×C4×C73 | — | 2 | 2 | no | — |
| 181 | C2×C4×C73 | — | 2 | 2 | no | — |
| 182 | C2×C4×C73 | — | 2 | 2 | no | — |
| 183 | C2×C4×C73 | C22×D4 | 1 | 2 | yes | — |
| 184 | C2×C4×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 185 | C22⋊D73 | — | 8 | 2 | no | — |
| 186 | C2×Dic73 | — | 2 | 2 | no | — |
| 187 | C2×Dic73 | — | 2 | 2 | no | — |
| 188 | C2×Dic73 | — | 2 | 2 | no | — |
| 189 | C2×Dic73 | — | 4 | 1 | no | — |
| 190 | C2×Dic73 | — | 8 | 2 | no | — |
| 191 | C2×Dic73 | #120 | 1 | 2 | yes | — |
| 192 | C2×Dic73 | #120 | 1 | 1 | yes | characteristic |
| 193 | C4×D73 | — | 2 | 2 | no | — |
| 194 | C4×D73 | — | 4 | 2 | no | — |
| 195 | C4×D73 | — | 4 | 4 | no | — |
| 196 | C4×D73 | — | 4 | 4 | no | — |
| 197 | C4×D73 | — | 4 | 4 | no | — |
| 198 | Dic146 | — | 4 | 2 | no | — |
| 199 | C8×C73 | — | 4 | 2 | no | — |
| 200 | C8×C73 | — | 4 | 1 | no | — |
| 201 | #10596831 | — | 4 | 2 | no | — |
| 202 | #10596831 | — | 4 | 1 | no | — |
| 203 | C22×C73 | — | 8 | 1 | no | — |
| 204 | C22×C73 | — | 8 | 2 | no | — |
| 205 | C22×C73 | C2×#120 | 1 | 1 | yes | characteristic |
| 206 | C2×D73 | — | 2 | 2 | no | — |
| 207 | C2×D73 | #454 | 1 | 2 | yes | — |
| 208 | C4×C73 | — | 2 | 1 | no | — |
| 209 | C4×C73 | — | 2 | 2 | no | — |
| 210 | C4×C73 | — | 4 | 2 | no | — |
| 211 | C4×C73 | — | 4 | 2 | no | — |
| 212 | C4×C73 | — | 4 | 2 | no | — |
| 213 | Dic73 | — | 2 | 1 | no | — |
| 214 | Dic73 | — | 2 | 2 | no | — |
| 215 | Dic73 | — | 4 | 2 | no | — |
| 216 | Dic73 | — | 4 | 2 | no | — |
| 217 | Dic73 | — | 4 | 2 | no | — |
| 218 | Dic73 | — | 8 | 1 | no | — |
| 219 | #19003 | — | 73 | 1 | no | maximal, Sylow |
| 220 | C2×C73 | — | 16 | 1 | no | — |
| 221 | C2×C73 | C2×#454 | 1 | 1 | yes | characteristic |
| 222 | C2×C73 | #3020 | 1 | 2 | yes | — |
| 223 | D73 | — | 2 | 2 | no | — |
| 224 | C2×#564 | — | 73 | 1 | no | — |
| 225 | #3234 | — | 73 | 2 | no | — |
| 226 | #3142 | — | 73 | 1 | no | — |
| 227 | #1663 | — | 73 | 1 | no | — |
| 228 | #1663 | — | 73 | 2 | no | — |
| 229 | #1663 | — | 73 | 1 | no | — |
| 230 | #1658 | — | 73 | 2 | no | — |
| 231 | #1658 | — | 73 | 1 | no | — |
| 232 | #1658 | D73 | 1 | 1 | yes | characteristic, complemented |
| 233 | #1534 | — | 73 | 1 | no | — |
| 234 | #1528 | — | 73 | 2 | no | — |
| 235 | C73 | #19003 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 236 | #564 | — | 73 | 2 | no | — |
| 237 | #564 | — | 73 | 1 | no | — |
| 238 | #564 | — | 146 | 2 | no | — |
| 239 | #564 | — | 146 | 2 | no | — |
| 240 | #564 | — | 146 | 2 | no | — |
| 241 | #564 | C2×D73 | 1 | 1 | yes | characteristic |
| 242 | #532 | — | 73 | 1 | no | — |
| 243 | C2×#125 | — | 73 | 1 | no | — |
| 244 | C2×#125 | — | 73 | 2 | no | — |
| 245 | C2×#125 | — | 146 | 2 | no | — |
| 246 | C2×#125 | — | 146 | 2 | no | — |
| 247 | C2×#125 | — | 146 | 2 | no | — |
| 248 | #501 | — | 73 | 2 | no | — |
| 249 | #501 | — | 73 | 2 | no | — |
| 250 | #491 | — | 73 | 1 | no | — |
| 251 | #491 | — | 73 | 1 | no | — |
| 252 | #490 | — | 73 | 1 | no | — |
| 253 | #490 | — | 73 | 2 | no | — |
| 254 | #490 | C2×D73 | 1 | 1 | yes | characteristic |
| 255 | #490 | C2×D73 | 1 | 2 | yes | — |
| 256 | #488 | — | 146 | 2 | no | — |
| 257 | #481 | — | 146 | 2 | no | — |
| 258 | #480 | — | 146 | 2 | no | — |
| 259 | #478 | — | 146 | 2 | no | — |
| 260 | #478 | — | 146 | 2 | no | — |
| 261 | #432 | — | 73 | 2 | no | — |
| 262 | #417 | — | 146 | 2 | no | — |
| 263 | C4×M16 | — | 73 | 1 | no | — |
| 264 | #330 | — | 73 | 2 | no | — |
| 265 | #330 | — | 73 | 1 | no | — |
| 266 | #330 | — | 73 | 2 | no | — |
| 267 | #330 | — | 73 | 2 | no | — |
| 268 | #330 | — | 73 | 2 | no | — |
| 269 | #330 | C2×D73 | 1 | 2 | yes | — |
| 270 | #330 | C2×D73 | 1 | 1 | yes | characteristic |
| 271 | C2×#41 | — | 146 | 1 | no | — |
| 272 | C2×M16 | — | 146 | 1 | no | — |
| 273 | C4⋊Q8 | — | 73 | 1 | no | — |
| 274 | #127 | C22×D73 | 1 | 1 | yes | characteristic |
| 275 | #125 | — | 2 | 2 | no | — |
| 276 | #125 | — | 2 | 2 | no | — |
| 277 | #125 | — | 2 | 2 | no | — |
| 278 | #125 | — | 73 | 2 | no | — |
| 279 | #125 | — | 73 | 2 | no | — |
| 280 | #125 | — | 73 | 2 | no | — |
| 281 | #125 | — | 73 | 1 | no | — |
| 282 | #125 | — | 73 | 2 | no | — |
| 283 | #125 | — | 146 | 2 | no | — |
| 284 | #125 | — | 146 | 2 | no | — |
| 285 | #125 | — | 146 | 2 | no | — |
| 286 | #125 | — | 146 | 2 | no | — |
| 287 | #125 | — | 146 | 2 | no | — |
| 288 | #125 | — | 146 | 2 | no | — |
| 289 | #125 | — | 146 | 2 | no | — |
| 290 | #125 | — | 146 | 2 | no | — |
| 291 | #125 | — | 146 | 2 | no | — |
| 292 | #125 | — | 146 | 2 | no | — |
| 293 | #125 | — | 146 | 2 | no | — |
| 294 | #125 | — | 146 | 2 | no | — |
| 295 | #125 | — | 146 | 2 | no | — |
| 296 | #125 | — | 146 | 2 | no | — |
| 297 | #125 | — | 146 | 2 | no | — |
| 298 | #125 | — | 146 | 2 | no | — |
| 299 | #125 | — | 146 | 2 | no | — |
| 300 | #125 | — | 146 | 2 | no | — |
| 301 | #125 | — | 146 | 2 | no | — |
| 302 | #125 | — | 146 | 2 | no | — |
| 303 | #125 | — | 146 | 2 | no | — |
| 304 | #125 | — | 146 | 2 | no | — |
| 305 | #125 | — | 146 | 2 | no | — |
| 306 | #125 | — | 146 | 2 | no | — |
| 307 | #125 | C22×D73 | 1 | 1 | yes | characteristic |
| 308 | #125 | C22×D73 | 1 | 2 | yes | — |
| 309 | #124 | — | 146 | 1 | no | — |
| 310 | #121 | — | 146 | 2 | no | — |
| 311 | C4×D4 | — | 146 | 2 | no | — |
| 312 | C2×C4⋊C4 | — | 73 | 2 | no | — |
| 313 | C2×C4⋊C4 | — | 73 | 2 | no | — |
| 314 | C2×C4⋊C4 | — | 73 | 2 | no | — |
| 315 | C2×C4⋊C4 | — | 146 | 2 | no | — |
| 316 | C2×C4⋊C4 | — | 146 | 2 | no | — |
| 317 | C2×C4⋊C4 | — | 146 | 2 | no | — |
| 318 | C2×C4⋊C4 | — | 146 | 2 | no | — |
| 319 | C2×C4⋊C4 | — | 146 | 2 | no | — |
| 320 | C2×C4⋊C4 | — | 146 | 2 | no | — |
| 321 | C2×C42 | — | 73 | 1 | no | — |
| 322 | C2×C42 | — | 146 | 2 | no | — |
| 323 | #107 | — | 146 | 2 | no | — |
| 324 | #107 | — | 146 | 2 | no | — |
| 325 | #106 | — | 146 | 2 | no | — |
| 326 | #106 | — | 146 | 2 | no | — |
| 327 | C4⋊C8 | — | 146 | 2 | no | — |
| 328 | #103 | — | 146 | 2 | no | — |
| 329 | #103 | — | 146 | 2 | no | — |
| 330 | #102 | — | 2 | 2 | no | — |
| 331 | #102 | — | 2 | 2 | no | — |
| 332 | #102 | — | 2 | 2 | no | — |
| 333 | #102 | — | 146 | 2 | no | — |
| 334 | #102 | — | 146 | 2 | no | — |
| 335 | #102 | — | 146 | 2 | no | — |
| 336 | C22⋊C8 | — | 146 | 2 | no | — |
| 337 | #97 | — | 73 | 1 | no | — |
| 338 | #97 | — | 73 | 2 | no | — |
| 339 | #97 | C22×D73 | 1 | 1 | yes | characteristic |
| 340 | #97 | C22×D73 | 1 | 2 | yes | — |
| 341 | C4×C8 | — | 146 | 1 | no | — |
| 342 | #41 | — | 292 | 4 | no | — |
| 343 | C2×Q8 | — | 146 | 1 | no | — |
| 344 | C2×D4 | — | 2 | 2 | no | — |
| 345 | C2×D4 | — | 2 | 1 | no | — |
| 346 | C2×D4 | — | 292 | 1 | no | — |
| 347 | C22×C4 | — | 292 | 1 | no | — |
| 348 | C22×C4 | — | 73 | 2 | no | — |
| 349 | C22×C4 | — | 73 | 1 | no | — |
| 350 | C22×C4 | — | 146 | 2 | no | — |
| 351 | C22×C4 | — | 146 | 2 | no | — |
| 352 | C22×C4 | — | 146 | 2 | no | — |
| 353 | M16 | — | 292 | 2 | no | — |
| 354 | C2×C8 | — | 2 | 1 | no | — |
| 355 | C2×C8 | — | 2 | 2 | no | — |
| 356 | C2×C8 | — | 146 | 1 | no | — |
| 357 | C2×C8 | — | 146 | 2 | no | — |
| 358 | C4⋊C4 | — | 2 | 2 | no | — |
| 359 | C4⋊C4 | — | 2 | 2 | no | — |
| 360 | C4⋊C4 | — | 2 | 2 | no | — |
| 361 | C4⋊C4 | — | 2 | 2 | no | — |
| 362 | C4⋊C4 | — | 2 | 2 | no | — |
| 363 | C4⋊C4 | — | 2 | 2 | no | — |
| 364 | C4⋊C4 | — | 73 | 2 | no | — |
| 365 | C4⋊C4 | — | 73 | 2 | no | — |
| 366 | C4⋊C4 | — | 73 | 2 | no | — |
| 367 | C4⋊C4 | — | 146 | 2 | no | — |
| 368 | C4⋊C4 | — | 146 | 2 | no | — |
| 369 | C4⋊C4 | — | 146 | 2 | no | — |
| 370 | C4⋊C4 | — | 146 | 2 | no | — |
| 371 | C4⋊C4 | — | 146 | 2 | no | — |
| 372 | C4⋊C4 | — | 146 | 2 | no | — |
| 373 | C4⋊C4 | — | 146 | 2 | no | — |
| 374 | C4⋊C4 | — | 146 | 2 | no | — |
| 375 | C4⋊C4 | — | 146 | 2 | no | — |
| 376 | C4⋊C4 | — | 146 | 2 | no | — |
| 377 | C4⋊C4 | — | 146 | 2 | no | — |
| 378 | C4⋊C4 | — | 146 | 2 | no | — |
| 379 | C4⋊C4 | — | 146 | 2 | no | — |
| 380 | C4⋊C4 | — | 146 | 2 | no | — |
| 381 | C4⋊C4 | — | 146 | 2 | no | — |
| 382 | C4⋊C4 | — | 146 | 2 | no | — |
| 383 | C4⋊C4 | — | 146 | 2 | no | — |
| 384 | C4⋊C4 | — | 146 | 2 | no | — |
| 385 | C4⋊C4 | — | 146 | 2 | no | — |
| 386 | C4⋊C4 | — | 146 | 2 | no | — |
| 387 | C4⋊C4 | — | 146 | 2 | no | — |
| 388 | C4⋊C4 | — | 146 | 2 | no | — |
| 389 | C4⋊C4 | D4×D73 | 1 | 2 | yes | — |
| 390 | C4⋊C4 | D4×D73 | 1 | 2 | yes | — |
| 391 | C4⋊C4 | D4×D73 | 1 | 2 | yes | — |
| 392 | C22⋊C4 | — | 292 | 2 | no | — |
| 393 | C42 | — | 2 | 2 | no | — |
| 394 | C42 | — | 73 | 1 | no | — |
| 395 | C42 | — | 73 | 2 | no | — |
| 396 | C42 | — | 146 | 2 | no | — |
| 397 | C42 | — | 146 | 2 | no | — |
| 398 | C42 | — | 146 | 2 | no | — |
| 399 | C42 | C23×D73 | 1 | 1 | yes | characteristic |
| 400 | C23 | — | 4 | 1 | no | — |
| 401 | C23 | — | 73 | 1 | no | — |
| 402 | Q8 | — | 292 | 2 | no | — |
| 403 | D4 | — | 4 | 2 | no | — |
| 404 | D4 | — | 4 | 4 | no | — |
| 405 | D4 | — | 584 | 2 | no | — |
| 406 | C2×C4 | — | 2 | 2 | no | — |
| 407 | C2×C4 | — | 2 | 2 | no | — |
| 408 | C2×C4 | — | 2 | 2 | no | — |
| 409 | C2×C4 | — | 292 | 2 | no | — |
| 410 | C2×C4 | — | 292 | 4 | no | — |
| 411 | C2×C4 | — | 292 | 4 | no | — |
| 412 | C2×C4 | — | 292 | 4 | no | — |
| 413 | C2×C4 | — | 292 | 1 | no | — |
| 414 | C2×C4 | — | 584 | 2 | no | — |
| 415 | C2×C4 | — | 73 | 2 | no | — |
| 416 | C2×C4 | — | 73 | 1 | no | — |
| 417 | C2×C4 | — | 146 | 2 | no | — |
| 418 | C2×C4 | — | 146 | 2 | no | — |
| 419 | C2×C4 | — | 146 | 2 | no | — |
| 420 | C2×C4 | — | 146 | 2 | no | — |
| 421 | C2×C4 | C2×D4×D73 | 1 | 2 | yes | — |
| 422 | C2×C4 | C2×D4×D73 | 1 | 1 | yes | characteristic |
| 423 | C8 | — | 4 | 1 | no | — |
| 424 | C8 | — | 4 | 2 | no | — |
| 425 | C8 | — | 292 | 1 | no | — |
| 426 | C8 | — | 292 | 2 | no | — |
| 427 | C22 | — | 8 | 1 | no | — |
| 428 | C22 | — | 8 | 2 | no | — |
| 429 | C22 | — | 73 | 2 | no | — |
| 430 | C22 | — | 146 | 2 | no | — |
| 431 | C22 | #120×D73 | 1 | 1 | yes | characteristic |
| 432 | C4 | — | 2 | 1 | no | — |
| 433 | C4 | — | 2 | 2 | no | — |
| 434 | C4 | — | 4 | 2 | no | — |
| 435 | C4 | — | 4 | 2 | no | — |
| 436 | C4 | — | 4 | 2 | no | — |
| 437 | C4 | — | 292 | 2 | no | — |
| 438 | C4 | — | 292 | 2 | no | — |
| 439 | C4 | — | 292 | 2 | no | — |
| 440 | C4 | — | 584 | 1 | no | — |
| 441 | C4 | — | 146 | 1 | no | — |
| 442 | C4 | — | 146 | 2 | no | — |
| 443 | C2 | — | 16 | 1 | no | — |
| 444 | C2 | — | 146 | 2 | no | — |
| 445 | C2 | #454×D73 | 1 | 1 | yes | characteristic |
| 446 | C2 | #22619292 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #564×D73 | C2 | semidirect |
| 4. #22609261 | C2 | semidirect |
| 5. #22609260 | C2 | semidirect |
| 6. #22609259 | C2 | semidirect |
| 7. #22609232 | C2 | semidirect |
| 8. #22609232 | C2 | semidirect |
| 9. #22608556 | C2 | semidirect |
| 10. #22608531 | C2 | semidirect |
| 11. C73×#1658 | C2 | semidirect |
| 232. #1658 | D73 | semidirect |
| 235. C73 | #19003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #564×D73 | 2 |
| #22621116 | 2 |
| #22620330 | 2 |
| #22609261 | 2 |
| #22609260 | 2 |
| #22609259 | 2 |
| #22609232 | 2 |
| #22608556 | 2 |
| #22608531 | 2 |
| C73×#1658 | 2 |
| #19003 | 73 |