Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
686 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 112 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 | #22626102 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22625798 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #22625449 | C2 | 1 | 2 | yes | maximal |
| 4 | #22625279 | C2 | 1 | 2 | yes | maximal |
| 5 | #22623739 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #17989590 | C22 | 1 | 2 | yes | — |
| 7 | C2×#14556658 | C22 | 1 | 1 | yes | characteristic |
| 8 | C2×#14556652 | — | 2 | 1 | no | — |
| 9 | C2×C4×#10596833 | C22 | 1 | 1 | yes | characteristic |
| 10 | #17989467 | — | 2 | 1 | no | — |
| 11 | #17989453 | — | 2 | 1 | no | — |
| 12 | #17989453 | — | 2 | 1 | no | — |
| 13 | #17989447 | — | 2 | 2 | no | — |
| 14 | #17989446 | — | 2 | 2 | no | — |
| 15 | #17989437 | — | 2 | 2 | no | — |
| 16 | Q8⋊#10596833 | — | 2 | 2 | no | — |
| 17 | #17989317 | — | 2 | 2 | no | — |
| 18 | #17989314 | — | 2 | 2 | no | — |
| 19 | #17989314 | — | 2 | 2 | no | — |
| 20 | #17989312 | — | 2 | 2 | no | — |
| 21 | #17989218 | C4 | 1 | 1 | yes | characteristic |
| 22 | #17989216 | — | 2 | 1 | no | — |
| 23 | #17989216 | C4 | 1 | 2 | yes | — |
| 24 | #17989140 | — | 2 | 1 | no | — |
| 25 | #17989139 | — | 2 | 1 | no | — |
| 26 | #17989139 | C22 | 1 | 2 | yes | — |
| 27 | #17989064 | — | 2 | 1 | no | — |
| 28 | C2×#14556556 | C22 | 1 | 1 | yes | characteristic |
| 29 | #544×C73 | C4 | 1 | 1 | yes | characteristic |
| 30 | C2×#11924037 | — | 2 | 2 | no | — |
| 31 | C22×#10596833 | — | 2 | 1 | no | — |
| 32 | C22×#10596833 | — | 2 | 1 | no | — |
| 33 | #14556658 | — | 2 | 2 | no | — |
| 34 | #14556658 | — | 2 | 2 | no | — |
| 35 | C4⋊#10596833 | — | 2 | 2 | no | — |
| 36 | #14556652 | — | 4 | 2 | no | — |
| 37 | C4×#10596833 | — | 2 | 2 | no | — |
| 38 | C22×Dic146 | D4 | 1 | 1 | yes | characteristic |
| 39 | #14556590 | — | 2 | 1 | no | — |
| 40 | #14556590 | — | 2 | 1 | no | — |
| 41 | #14556590 | — | 2 | 1 | no | — |
| 42 | #14556590 | — | 2 | 2 | no | — |
| 43 | #14556590 | — | 2 | 2 | no | — |
| 44 | #14556590 | — | 2 | 2 | no | — |
| 45 | #14556590 | D4 | 1 | 2 | yes | — |
| 46 | #14556589 | — | 2 | 1 | no | — |
| 47 | #14556589 | — | 2 | 2 | no | — |
| 48 | #14556589 | — | 2 | 2 | no | — |
| 49 | #14556589 | D4 | 1 | 2 | yes | — |
| 50 | #14556582 | — | 2 | 1 | no | — |
| 51 | #14556582 | — | 2 | 1 | no | — |
| 52 | #14556582 | — | 2 | 2 | no | — |
| 53 | #14556581 | — | 2 | 2 | no | — |
| 54 | #14556581 | — | 2 | 2 | no | — |
| 55 | #14556581 | — | 2 | 2 | no | — |
| 56 | #14556581 | — | 2 | 2 | no | — |
| 57 | #14556581 | — | 2 | 2 | no | — |
| 58 | #14556581 | — | 2 | 2 | no | — |
| 59 | #14556570 | — | 2 | 1 | no | — |
| 60 | #14556570 | C2×C4 | 1 | 2 | yes | — |
| 61 | #14556568 | — | 2 | 2 | no | — |
| 62 | #14556568 | — | 2 | 2 | no | — |
| 63 | Q8×Dic73 | — | 2 | 1 | no | — |
| 64 | Q8×Dic73 | D4 | 1 | 2 | yes | — |
| 65 | C4×Dic146 | — | 2 | 2 | no | — |
| 66 | C4×Dic146 | — | 2 | 2 | no | — |
| 67 | C4×Dic146 | — | 2 | 2 | no | — |
| 68 | C4×Dic146 | — | 2 | 2 | no | — |
| 69 | #14556556 | — | 2 | 1 | no | — |
| 70 | #14556556 | — | 2 | 2 | no | — |
| 71 | #14556556 | — | 2 | 2 | no | — |
| 72 | #14556556 | — | 2 | 2 | no | — |
| 73 | #14556556 | — | 2 | 2 | no | — |
| 74 | #14556556 | — | 2 | 2 | no | — |
| 75 | #14556556 | — | 2 | 2 | no | — |
| 76 | #14556556 | D4 | 1 | 2 | yes | — |
| 77 | #14556550 | — | 2 | 1 | no | — |
| 78 | #14556547 | — | 2 | 2 | no | — |
| 79 | #14556547 | — | 2 | 2 | no | — |
| 80 | C2×#11924007 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | C2×#11924007 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×C4×Dic73 | D4 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×Dic73 | D4 | 1 | 1 | yes | characteristic |
| 84 | C2×C4×Dic73 | C23 | 1 | 1 | yes | characteristic |
| 85 | C4⋊Q8×C73 | — | 2 | 2 | no | — |
| 86 | #125×C73 | — | 2 | 2 | no | — |
| 87 | C22⋊Q8×C73 | — | 2 | 1 | no | — |
| 88 | C22⋊Q8×C73 | C2×C4 | 1 | 2 | yes | — |
| 89 | #117×C73 | — | 2 | 1 | no | — |
| 90 | C2×C4⋊C4×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | #11924037 | — | 4 | 2 | no | — |
| 92 | #11924037 | — | 4 | 2 | no | — |
| 93 | C2×#10596833 | — | 2 | 2 | no | — |
| 94 | C2×#10596833 | — | 4 | 1 | no | — |
| 95 | C2×#10596833 | — | 4 | 1 | no | — |
| 96 | C2×#10596833 | — | 4 | 2 | no | — |
| 97 | C2×#10596833 | — | 4 | 1 | no | — |
| 98 | C2×#10596833 | — | 4 | 2 | no | — |
| 99 | C2×Dic146 | — | 2 | 2 | no | — |
| 100 | C2×Dic146 | — | 2 | 2 | no | — |
| 101 | C2×Dic146 | — | 2 | 2 | no | — |
| 102 | C2×Dic146 | — | 2 | 1 | no | — |
| 103 | C2×Dic146 | — | 2 | 2 | no | — |
| 104 | C2×Dic146 | C22⋊C4 | 1 | 2 | yes | — |
| 105 | C2×Dic146 | SD16 | 1 | 2 | yes | — |
| 106 | C2×Dic146 | Q16 | 1 | 2 | yes | — |
| 107 | C22×Dic73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 108 | C22×Dic73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 109 | C22×Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C22×Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C4⋊Dic73 | — | 2 | 1 | no | — |
| 112 | C4⋊Dic73 | — | 2 | 1 | no | — |
| 113 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 114 | C4⋊Dic73 | — | 2 | 1 | no | — |
| 115 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 116 | C4⋊Dic73 | C22⋊C4 | 1 | 2 | yes | — |
| 117 | #11924007 | — | 2 | 2 | no | — |
| 118 | #11924007 | — | 2 | 2 | no | — |
| 119 | #11924007 | — | 2 | 2 | no | — |
| 120 | #11924007 | — | 2 | 2 | no | — |
| 121 | #11924007 | — | 2 | 2 | no | — |
| 122 | #11924007 | — | 2 | 2 | no | — |
| 123 | #11924007 | — | 2 | 2 | no | — |
| 124 | #11924007 | — | 2 | 2 | no | — |
| 125 | #11924007 | — | 2 | 2 | no | — |
| 126 | #11924007 | — | 2 | 2 | no | — |
| 127 | #11924007 | — | 2 | 2 | no | — |
| 128 | #11924007 | — | 2 | 2 | no | — |
| 129 | C22⋊Dic73 | — | 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 | 1 | no | — |
| 134 | C4×Dic73 | — | 2 | 1 | no | — |
| 135 | C4×Dic73 | — | 2 | 1 | no | — |
| 136 | C4×Dic73 | — | 2 | 1 | no | — |
| 137 | C4×Dic73 | — | 2 | 2 | no | — |
| 138 | C4×Dic73 | — | 2 | 2 | no | — |
| 139 | C4×Dic73 | C2×D4 | 1 | 2 | yes | — |
| 140 | C4×Dic73 | C2×D4 | 1 | 2 | yes | — |
| 141 | C2×Q8×C73 | — | 2 | 1 | no | — |
| 142 | C2×Q8×C73 | C22⋊C4 | 1 | 2 | yes | — |
| 143 | C22×C4×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 144 | C22×C4×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 145 | C22×C4×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 146 | C4⋊C4×C73 | — | 2 | 1 | no | — |
| 147 | C4⋊C4×C73 | — | 2 | 1 | no | — |
| 148 | C4⋊C4×C73 | — | 2 | 1 | no | — |
| 149 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 150 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 151 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 152 | C4⋊C4×C73 | C22⋊C4 | 1 | 2 | yes | — |
| 153 | C22⋊C4×C73 | — | 2 | 2 | no | — |
| 154 | C42×C73 | — | 2 | 2 | no | — |
| 155 | C23×C73 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 156 | Q8×C73 | — | 4 | 2 | no | — |
| 157 | Q8×C73 | — | 8 | 1 | no | — |
| 158 | C2×C4×C73 | — | 2 | 1 | no | — |
| 159 | C2×C4×C73 | — | 2 | 1 | no | — |
| 160 | C2×C4×C73 | — | 2 | 2 | no | — |
| 161 | C2×C4×C73 | — | 2 | 2 | no | — |
| 162 | C2×C4×C73 | — | 2 | 1 | no | — |
| 163 | C2×C4×C73 | — | 4 | 1 | no | — |
| 164 | C2×C4×C73 | — | 4 | 1 | no | — |
| 165 | C2×C4×C73 | #103 | 1 | 2 | yes | — |
| 166 | C2×C4×C73 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 167 | C2×Dic73 | — | 2 | 1 | no | — |
| 168 | C2×Dic73 | — | 2 | 1 | no | — |
| 169 | C2×Dic73 | — | 2 | 1 | no | — |
| 170 | C2×Dic73 | — | 2 | 1 | no | — |
| 171 | C2×Dic73 | — | 2 | 2 | no | — |
| 172 | C2×Dic73 | — | 2 | 2 | no | — |
| 173 | C2×Dic73 | — | 2 | 1 | no | — |
| 174 | C2×Dic73 | — | 4 | 1 | no | — |
| 175 | C2×Dic73 | #103 | 1 | 2 | yes | — |
| 176 | C2×Dic73 | #120 | 1 | 1 | yes | characteristic |
| 177 | C2×Dic73 | #120 | 1 | 2 | yes | — |
| 178 | C2×Dic73 | #120 | 1 | 1 | yes | characteristic |
| 179 | C2×Dic73 | C2×SD16 | 1 | 1 | yes | characteristic |
| 180 | C2×Dic73 | C2×Q16 | 1 | 1 | yes | characteristic |
| 181 | C2×Dic73 | #137 | 1 | 2 | yes | — |
| 182 | Dic146 | — | 2 | 4 | no | — |
| 183 | Dic146 | — | 2 | 4 | no | — |
| 184 | Dic146 | — | 4 | 2 | no | — |
| 185 | Dic146 | — | 4 | 2 | no | — |
| 186 | Dic146 | — | 4 | 2 | no | — |
| 187 | Dic146 | — | 8 | 1 | no | — |
| 188 | Dic146 | — | 8 | 2 | no | — |
| 189 | #10596833 | — | 4 | 2 | no | — |
| 190 | #10596833 | — | 8 | 2 | no | — |
| 191 | #10596833 | — | 8 | 1 | no | — |
| 192 | C22×C73 | — | 2 | 1 | no | — |
| 193 | C22×C73 | — | 2 | 1 | no | — |
| 194 | C22×C73 | #379 | 1 | 1 | yes | characteristic |
| 195 | C22×C73 | C2×#103 | 1 | 1 | yes | characteristic |
| 196 | C22×C73 | #419 | 1 | 1 | yes | characteristic |
| 197 | C4×C73 | — | 2 | 2 | no | — |
| 198 | C4×C73 | — | 2 | 2 | no | — |
| 199 | C4×C73 | — | 4 | 2 | no | — |
| 200 | C4×C73 | — | 4 | 1 | no | — |
| 201 | C4×C73 | — | 4 | 2 | no | — |
| 202 | Dic73 | — | 2 | 1 | no | — |
| 203 | Dic73 | — | 2 | 2 | no | — |
| 204 | Dic73 | — | 4 | 2 | no | — |
| 205 | Dic73 | — | 4 | 2 | no | — |
| 206 | Dic73 | — | 4 | 1 | no | — |
| 207 | Dic73 | #448 | 1 | 2 | yes | — |
| 208 | Dic73 | #451 | 1 | 2 | yes | — |
| 209 | Dic73 | #454 | 1 | 1 | yes | characteristic |
| 210 | Dic73 | #456 | 1 | 1 | yes | characteristic |
| 211 | #8356 | — | 73 | 1 | no | maximal, Sylow |
| 212 | C2×C73 | — | 2 | 1 | no | — |
| 213 | C2×C73 | — | 2 | 1 | no | — |
| 214 | C2×C73 | #1787 | 1 | 1 | yes | characteristic |
| 215 | C2×C73 | #1791 | 1 | 1 | yes | characteristic |
| 216 | C2×C73 | #1793 | 1 | 1 | yes | characteristic |
| 217 | #3502 | — | 73 | 1 | no | — |
| 218 | #1984 | — | 73 | 1 | no | — |
| 219 | #1801 | — | 73 | 1 | no | — |
| 220 | #1550 | — | 73 | 2 | no | — |
| 221 | #1493 | — | 73 | 2 | no | — |
| 222 | C73 | #8356 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 223 | Q82 | — | 146 | 2 | no | — |
| 224 | #557 | — | 146 | 2 | no | — |
| 225 | #557 | — | 146 | 2 | no | — |
| 226 | #557 | — | 146 | 2 | no | — |
| 227 | #544 | — | 73 | 2 | no | — |
| 228 | #544 | — | 73 | 1 | no | — |
| 229 | #544 | — | 146 | 1 | no | — |
| 230 | #544 | #64408 | 1 | 1 | yes | characteristic |
| 231 | #533 | — | 73 | 2 | no | — |
| 232 | #533 | — | 146 | 1 | no | — |
| 233 | #533 | — | 146 | 1 | no | — |
| 234 | #519 | — | 146 | 1 | no | — |
| 235 | C2×C4×Q8 | — | 73 | 1 | no | — |
| 236 | #423 | — | 73 | 2 | no | — |
| 237 | C2×C4⋊C8 | — | 73 | 1 | no | — |
| 238 | C2×#101 | — | 146 | 1 | no | — |
| 239 | C2×C4×C8 | — | 73 | 1 | no | — |
| 240 | #343 | — | 146 | 1 | no | — |
| 241 | #336 | — | 146 | 1 | no | — |
| 242 | #336 | — | 146 | 1 | no | — |
| 243 | #333 | — | 146 | 2 | no | — |
| 244 | #332 | — | 146 | 2 | no | — |
| 245 | Q8⋊C8 | — | 146 | 2 | no | — |
| 246 | Q8⋊C8 | — | 146 | 2 | no | — |
| 247 | C22×Q8 | — | 73 | 1 | no | — |
| 248 | C2×M16 | — | 146 | 2 | no | — |
| 249 | C22×C8 | — | 146 | 1 | no | — |
| 250 | C22×C8 | — | 146 | 1 | no | — |
| 251 | C4⋊Q8 | — | 2 | 2 | no | — |
| 252 | C4⋊Q8 | — | 73 | 2 | no | — |
| 253 | C4⋊Q8 | — | 73 | 2 | no | — |
| 254 | C4⋊Q8 | — | 146 | 2 | no | — |
| 255 | C4⋊Q8 | — | 146 | 2 | no | — |
| 256 | C4⋊Q8 | — | 146 | 1 | no | — |
| 257 | C4⋊Q8 | — | 146 | 1 | no | — |
| 258 | C4⋊Q8 | — | 146 | 1 | no | — |
| 259 | C4⋊Q8 | — | 146 | 2 | no | — |
| 260 | C4⋊Q8 | — | 146 | 1 | no | — |
| 261 | C4⋊Q8 | — | 146 | 2 | no | — |
| 262 | C4⋊Q8 | — | 146 | 2 | no | — |
| 263 | #125 | — | 2 | 2 | no | — |
| 264 | #125 | — | 146 | 2 | no | — |
| 265 | #125 | — | 146 | 2 | no | — |
| 266 | #125 | — | 146 | 2 | no | — |
| 267 | #125 | — | 146 | 2 | no | — |
| 268 | #125 | — | 146 | 1 | no | — |
| 269 | #125 | — | 146 | 1 | no | — |
| 270 | #125 | — | 146 | 2 | no | — |
| 271 | #125 | — | 146 | 2 | no | — |
| 272 | #125 | — | 146 | 2 | no | — |
| 273 | C22⋊Q8 | — | 2 | 1 | no | — |
| 274 | C22⋊Q8 | — | 73 | 2 | no | — |
| 275 | C22⋊Q8 | — | 146 | 2 | no | — |
| 276 | C22⋊Q8 | — | 146 | 2 | no | — |
| 277 | C22⋊Q8 | — | 146 | 1 | no | — |
| 278 | C22⋊Q8 | C2×#64408 | 1 | 2 | yes | — |
| 279 | C4×Q8 | — | 73 | 2 | no | — |
| 280 | C4×Q8 | — | 73 | 2 | no | — |
| 281 | C4×Q8 | — | 146 | 2 | no | — |
| 282 | C4×Q8 | — | 146 | 2 | no | — |
| 283 | C4×Q8 | — | 146 | 2 | no | — |
| 284 | C4×Q8 | — | 146 | 2 | no | — |
| 285 | C4×Q8 | — | 146 | 2 | no | — |
| 286 | C4×Q8 | — | 146 | 2 | no | — |
| 287 | C4×Q8 | — | 146 | 2 | no | — |
| 288 | C4×Q8 | — | 146 | 2 | no | — |
| 289 | C4×Q8 | — | 146 | 2 | no | — |
| 290 | C4×Q8 | — | 146 | 1 | no | — |
| 291 | C4×Q8 | — | 146 | 2 | no | — |
| 292 | C4×Q8 | — | 146 | 1 | no | — |
| 293 | #117 | — | 2 | 1 | no | — |
| 294 | #117 | — | 146 | 2 | no | — |
| 295 | #117 | — | 146 | 2 | no | — |
| 296 | #117 | — | 146 | 1 | no | — |
| 297 | C2×C4⋊C4 | — | 73 | 1 | no | — |
| 298 | C2×C4⋊C4 | — | 73 | 1 | no | — |
| 299 | C2×C4⋊C4 | C2×#64408 | 1 | 1 | yes | characteristic |
| 300 | C2×C42 | — | 73 | 1 | no | — |
| 301 | C2×C42 | — | 73 | 1 | no | — |
| 302 | C2×C42 | — | 73 | 1 | no | — |
| 303 | C4⋊C8 | — | 146 | 2 | no | — |
| 304 | C4⋊C8 | — | 146 | 2 | no | — |
| 305 | C4⋊C8 | — | 146 | 2 | no | — |
| 306 | #101 | — | 292 | 2 | no | — |
| 307 | C4×C8 | — | 146 | 2 | no | — |
| 308 | C2×Q8 | — | 2 | 1 | no | — |
| 309 | C2×Q8 | — | 73 | 2 | no | — |
| 310 | C2×Q8 | — | 73 | 2 | no | — |
| 311 | C2×Q8 | — | 73 | 2 | no | — |
| 312 | C2×Q8 | — | 146 | 2 | no | — |
| 313 | C2×Q8 | — | 146 | 2 | no | — |
| 314 | C2×Q8 | — | 146 | 2 | no | — |
| 315 | C2×Q8 | — | 146 | 2 | no | — |
| 316 | C2×Q8 | — | 146 | 1 | no | — |
| 317 | C2×Q8 | C22⋊#64408 | 1 | 2 | yes | — |
| 318 | C22×C4 | — | 73 | 1 | no | — |
| 319 | C22×C4 | — | 73 | 1 | no | — |
| 320 | C22×C4 | — | 73 | 1 | no | — |
| 321 | C22×C4 | — | 73 | 1 | no | — |
| 322 | C22×C4 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 323 | C22×C4 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 324 | C22×C4 | C22×#64408 | 1 | 1 | yes | characteristic |
| 325 | M16 | — | 292 | 2 | no | — |
| 326 | M16 | — | 292 | 2 | no | — |
| 327 | C2×C8 | — | 292 | 1 | no | — |
| 328 | C2×C8 | — | 292 | 1 | no | — |
| 329 | C2×C8 | — | 292 | 1 | no | — |
| 330 | C2×C8 | — | 292 | 2 | no | — |
| 331 | C2×C8 | — | 292 | 2 | no | — |
| 332 | C2×C8 | — | 146 | 2 | no | — |
| 333 | C4⋊C4 | — | 2 | 1 | no | — |
| 334 | C4⋊C4 | — | 2 | 1 | no | — |
| 335 | C4⋊C4 | — | 2 | 1 | no | — |
| 336 | C4⋊C4 | — | 2 | 2 | no | — |
| 337 | C4⋊C4 | — | 2 | 2 | no | — |
| 338 | C4⋊C4 | — | 2 | 2 | no | — |
| 339 | C4⋊C4 | — | 73 | 2 | no | — |
| 340 | C4⋊C4 | — | 146 | 2 | no | — |
| 341 | C4⋊C4 | — | 146 | 2 | no | — |
| 342 | C4⋊C4 | — | 146 | 2 | no | — |
| 343 | C4⋊C4 | — | 146 | 2 | no | — |
| 344 | C4⋊C4 | — | 146 | 2 | no | — |
| 345 | C4⋊C4 | — | 146 | 2 | no | — |
| 346 | C4⋊C4 | — | 146 | 2 | no | — |
| 347 | C4⋊C4 | — | 146 | 2 | no | — |
| 348 | C4⋊C4 | — | 146 | 2 | no | — |
| 349 | C4⋊C4 | — | 146 | 2 | no | — |
| 350 | C4⋊C4 | — | 146 | 2 | no | — |
| 351 | C4⋊C4 | — | 146 | 1 | no | — |
| 352 | C4⋊C4 | — | 146 | 1 | no | — |
| 353 | C4⋊C4 | — | 146 | 1 | no | — |
| 354 | C4⋊C4 | — | 146 | 2 | no | — |
| 355 | C4⋊C4 | — | 146 | 2 | no | — |
| 356 | C4⋊C4 | — | 146 | 2 | no | — |
| 357 | C4⋊C4 | C22⋊#64408 | 1 | 2 | yes | — |
| 358 | C22⋊C4 | — | 2 | 2 | no | — |
| 359 | C22⋊C4 | — | 146 | 2 | no | — |
| 360 | C42 | — | 2 | 2 | no | — |
| 361 | C42 | — | 73 | 2 | no | — |
| 362 | C42 | — | 73 | 2 | no | — |
| 363 | C42 | — | 146 | 1 | no | — |
| 364 | C42 | — | 146 | 1 | no | — |
| 365 | C42 | — | 146 | 1 | no | — |
| 366 | C42 | — | 146 | 1 | no | — |
| 367 | C42 | — | 146 | 2 | no | — |
| 368 | C42 | — | 146 | 2 | no | — |
| 369 | C42 | — | 146 | 2 | no | — |
| 370 | C42 | — | 146 | 2 | no | — |
| 371 | C42 | — | 146 | 2 | no | — |
| 372 | C23 | C2×C22⋊#64408 | 1 | 1 | yes | characteristic |
| 373 | Q8 | — | 4 | 2 | no | — |
| 374 | Q8 | — | 8 | 1 | no | — |
| 375 | Q8 | — | 292 | 2 | no | — |
| 376 | Q8 | — | 292 | 2 | no | — |
| 377 | Q8 | — | 292 | 2 | no | — |
| 378 | Q8 | — | 584 | 1 | no | — |
| 379 | Q8 | — | 584 | 2 | no | — |
| 380 | Q8 | — | 146 | 4 | no | — |
| 381 | Q8 | — | 146 | 4 | no | — |
| 382 | C2×C4 | — | 2 | 1 | no | — |
| 383 | C2×C4 | — | 2 | 1 | no | — |
| 384 | C2×C4 | — | 2 | 2 | no | — |
| 385 | C2×C4 | — | 2 | 2 | no | — |
| 386 | C2×C4 | — | 2 | 1 | no | — |
| 387 | C2×C4 | — | 4 | 1 | no | — |
| 388 | C2×C4 | — | 4 | 1 | no | — |
| 389 | C2×C4 | — | 292 | 1 | no | — |
| 390 | C2×C4 | — | 73 | 2 | no | — |
| 391 | C2×C4 | — | 73 | 1 | no | — |
| 392 | C2×C4 | — | 73 | 1 | no | — |
| 393 | C2×C4 | — | 73 | 1 | no | — |
| 394 | C2×C4 | — | 73 | 2 | no | — |
| 395 | C2×C4 | — | 73 | 1 | no | — |
| 396 | C2×C4 | — | 73 | 2 | no | — |
| 397 | C2×C4 | — | 146 | 2 | no | — |
| 398 | C2×C4 | — | 146 | 2 | no | — |
| 399 | C2×C4 | — | 146 | 1 | no | — |
| 400 | C2×C4 | — | 146 | 1 | no | — |
| 401 | C2×C4 | — | 146 | 1 | no | — |
| 402 | C2×C4 | — | 146 | 1 | no | — |
| 403 | C2×C4 | — | 146 | 1 | no | — |
| 404 | C2×C4 | #14556654 | 1 | 2 | yes | — |
| 405 | C2×C4 | C2×C22⋊#64408 | 1 | 2 | yes | — |
| 406 | C8 | — | 292 | 2 | no | — |
| 407 | C8 | — | 584 | 1 | no | — |
| 408 | C8 | — | 584 | 2 | no | — |
| 409 | C22 | — | 2 | 1 | no | — |
| 410 | C22 | — | 2 | 1 | no | — |
| 411 | C22 | #17989528 | 1 | 1 | yes | characteristic |
| 412 | C22 | C2×#14556654 | 1 | 1 | yes | characteristic |
| 413 | C22 | #17989580 | 1 | 1 | yes | characteristic |
| 414 | C4 | — | 2 | 2 | no | — |
| 415 | C4 | — | 2 | 2 | no | — |
| 416 | C4 | — | 4 | 1 | no | — |
| 417 | C4 | — | 4 | 2 | no | — |
| 418 | C4 | — | 4 | 2 | no | — |
| 419 | C4 | — | 292 | 1 | no | — |
| 420 | C4 | — | 292 | 2 | no | — |
| 421 | C4 | — | 292 | 2 | no | — |
| 422 | C4 | — | 73 | 2 | no | — |
| 423 | C4 | — | 73 | 2 | no | — |
| 424 | C4 | — | 73 | 1 | no | — |
| 425 | C4 | — | 73 | 1 | no | — |
| 426 | C4 | — | 146 | 2 | no | — |
| 427 | C4 | — | 146 | 1 | no | — |
| 428 | C2 | — | 2 | 1 | no | — |
| 429 | C2 | — | 2 | 1 | no | — |
| 430 | C2 | #22625770 | 1 | 1 | yes | characteristic |
| 431 | C2 | #22625776 | 1 | 1 | yes | characteristic |
| 432 | C2 | #22625778 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 222. C73 | #8356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626102 | 2 |
| #22625798 | 2 |
| #22625449 | 2 |
| #22625279 | 2 |
| #22623739 | 2 |
| #8356 | 73 |