Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
576 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 74 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 | #22626467 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22625411 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22625320 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #22624820 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22620396 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #17989609 | C22 | 1 | 2 | yes | — |
| 7 | (C2×#64408)⋊Q8 | — | 2 | 1 | no | — |
| 8 | #17989537 | — | 2 | 2 | no | — |
| 9 | #17989535 | — | 2 | 1 | no | — |
| 10 | C22⋊C4×#64408 | — | 2 | 2 | no | — |
| 11 | #17989523 | C22 | 1 | 2 | yes | — |
| 12 | #17989443 | — | 2 | 1 | no | — |
| 13 | #17989442 | — | 2 | 1 | no | — |
| 14 | #17989438 | — | 2 | 2 | no | — |
| 15 | #17989438 | — | 2 | 2 | no | — |
| 16 | C2×#14556620 | — | 2 | 1 | no | — |
| 17 | C2×#14556615 | — | 2 | 1 | no | — |
| 18 | #17989135 | C22 | 1 | 1 | yes | characteristic |
| 19 | #124×D73 | C22 | 1 | 1 | yes | characteristic |
| 20 | #17988982 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | #17988981 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | #17988974 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | #17988970 | — | 2 | 1 | no | — |
| 24 | #17988968 | — | 2 | 1 | no | — |
| 25 | #17988539 | C22 | 1 | 1 | yes | characteristic |
| 26 | #496×C73 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C23×#64408 | — | 2 | 1 | no | — |
| 28 | C2×C4⋊#64408 | — | 2 | 1 | no | — |
| 29 | C2×C22⋊#64408 | — | 2 | 2 | no | — |
| 30 | C2×C22⋊#64408 | — | 2 | 1 | no | — |
| 31 | C2×C4×#64408 | — | 2 | 1 | no | — |
| 32 | C2×C4×#64408 | — | 2 | 2 | no | — |
| 33 | C4⋊#10596833 | — | 2 | 2 | no | — |
| 34 | #14556648 | — | 2 | 2 | no | — |
| 35 | #14556646 | — | 2 | 2 | no | — |
| 36 | (C2×#64408)⋊C4 | — | 2 | 2 | no | — |
| 37 | (C2×#64408)⋊C4 | — | 2 | 2 | no | — |
| 38 | (C2×#64408)⋊C4 | D4 | 1 | 2 | yes | — |
| 39 | (C2×#64408)⋊C4 | D4 | 1 | 2 | yes | — |
| 40 | C2×#11924027 | — | 2 | 1 | no | — |
| 41 | C2×Q8×D73 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×D4×D73 | D4 | 1 | 1 | yes | characteristic |
| 43 | #14556620 | — | 4 | 2 | no | — |
| 44 | #14556620 | — | 4 | 2 | no | — |
| 45 | #14556615 | — | 4 | 2 | no | — |
| 46 | #14556615 | — | 4 | 2 | no | — |
| 47 | C2×Dic292 | — | 2 | 1 | no | — |
| 48 | C2×#11924018 | — | 2 | 1 | no | — |
| 49 | C2×#11924017 | — | 2 | 1 | no | — |
| 50 | C2×#11924016 | — | 2 | 1 | no | — |
| 51 | C2×#11924016 | — | 2 | 1 | no | — |
| 52 | C2×#11924013 | — | 2 | 1 | no | — |
| 53 | C2×#11924011 | — | 2 | 1 | no | — |
| 54 | #14556591 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 55 | #14556580 | D4 | 1 | 1 | yes | characteristic |
| 56 | #14556579 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | #14556578 | — | 2 | 1 | no | — |
| 58 | #14556578 | D4 | 1 | 1 | yes | characteristic |
| 59 | #14556577 | — | 2 | 2 | no | — |
| 60 | #14556562 | — | 2 | 2 | no | — |
| 61 | D4×Dic73 | — | 2 | 2 | no | — |
| 62 | C22⋊C4×D73 | — | 2 | 2 | no | — |
| 63 | C42×D73 | C23 | 1 | 1 | yes | characteristic |
| 64 | #14556502 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 65 | C8×Dic73 | — | 2 | 1 | no | — |
| 66 | C2×SD16×C73 | — | 2 | 1 | no | — |
| 67 | C2×D8×C73 | — | 2 | 1 | no | — |
| 68 | #127×C73 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 69 | #124×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | #97×C73 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 71 | C22×#64408 | — | 2 | 2 | no | — |
| 72 | C22×#64408 | — | 2 | 2 | no | — |
| 73 | C22×#64408 | — | 4 | 4 | no | — |
| 74 | C22×#64408 | — | 8 | 1 | no | — |
| 75 | C2×#10596833 | — | 4 | 2 | no | — |
| 76 | C4⋊#64408 | — | 8 | 1 | no | — |
| 77 | C22⋊#64408 | — | 4 | 4 | no | — |
| 78 | C22⋊#64408 | — | 8 | 1 | no | — |
| 79 | C4×#64408 | — | 4 | 4 | no | — |
| 80 | C4×#64408 | — | 8 | 1 | no | — |
| 81 | C23×D73 | — | 2 | 1 | no | — |
| 82 | #11924027 | — | 4 | 1 | no | — |
| 83 | #11924027 | — | 4 | 1 | no | — |
| 84 | #11924027 | — | 4 | 1 | no | — |
| 85 | #11924027 | — | 4 | 1 | no | — |
| 86 | C2×Dic146 | — | 2 | 1 | no | — |
| 87 | C2×Dic146 | — | 2 | 1 | no | — |
| 88 | C2×Dic146 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 89 | Q8×D73 | — | 4 | 1 | no | — |
| 90 | Q8×D73 | — | 4 | 1 | no | — |
| 91 | C2×D292 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 92 | C2×C22⋊D73 | — | 2 | 1 | no | — |
| 93 | C2×C22⋊D73 | — | 4 | 1 | no | — |
| 94 | D4×D73 | — | 4 | 1 | no | — |
| 95 | D4×D73 | — | 4 | 1 | no | — |
| 96 | C22×Dic73 | — | 4 | 1 | no | — |
| 97 | C2×C4×D73 | — | 2 | 1 | no | — |
| 98 | C2×C4×D73 | C2×D4 | 1 | 1 | yes | characteristic |
| 99 | C2×C4×D73 | C2×D4 | 1 | 2 | yes | — |
| 100 | Dic292 | — | 4 | 2 | no | — |
| 101 | #11924018 | — | 4 | 2 | no | — |
| 102 | #11924017 | — | 4 | 2 | no | — |
| 103 | #11924016 | — | 4 | 2 | no | — |
| 104 | #11924016 | — | 4 | 2 | no | — |
| 105 | #11924013 | — | 4 | 2 | no | — |
| 106 | #11924011 | — | 2 | 2 | no | — |
| 107 | #11924011 | — | 2 | 2 | no | — |
| 108 | C2×#10596831 | — | 2 | 1 | no | — |
| 109 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 110 | C22⋊Dic73 | — | 2 | 2 | no | — |
| 111 | C22⋊Dic73 | — | 4 | 2 | no | — |
| 112 | #11924005 | — | 2 | 2 | no | — |
| 113 | #11924005 | — | 2 | 2 | no | — |
| 114 | C4×Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C4×Dic73 | #41 | 1 | 2 | yes | — |
| 116 | C2×Q8×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 117 | C2×D4×C73 | — | 2 | 1 | no | — |
| 118 | C2×D4×C73 | — | 2 | 2 | no | — |
| 119 | C2×D4×C73 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 120 | SD16×C73 | — | 4 | 2 | no | — |
| 121 | D8×C73 | — | 4 | 2 | no | — |
| 122 | C2×C8×C73 | — | 2 | 1 | no | — |
| 123 | C22⋊C4×C73 | — | 2 | 2 | no | — |
| 124 | C42×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 125 | C23×C73 | — | 2 | 1 | no | — |
| 126 | C23×C73 | — | 4 | 1 | no | — |
| 127 | C22×D73 | — | 2 | 1 | no | — |
| 128 | C22×D73 | — | 4 | 2 | no | — |
| 129 | C22×D73 | — | 4 | 2 | no | — |
| 130 | C22×D73 | — | 4 | 1 | no | — |
| 131 | C22×D73 | — | 4 | 1 | no | — |
| 132 | C22×D73 | #120 | 1 | 1 | yes | characteristic |
| 133 | C2×#64408 | — | 2 | 4 | no | — |
| 134 | C2×#64408 | — | 4 | 2 | no | — |
| 135 | C2×#64408 | — | 4 | 2 | no | — |
| 136 | C2×#64408 | — | 4 | 2 | no | — |
| 137 | C2×#64408 | — | 4 | 2 | no | — |
| 138 | C2×#64408 | — | 4 | 2 | no | — |
| 139 | C2×#64408 | — | 8 | 4 | no | — |
| 140 | Q8×C73 | — | 4 | 1 | no | — |
| 141 | D4×C73 | — | 4 | 1 | no | — |
| 142 | D4×C73 | — | 4 | 1 | no | — |
| 143 | D4×C73 | — | 4 | 1 | no | — |
| 144 | D4×C73 | — | 8 | 2 | no | — |
| 145 | C2×C4×C73 | — | 2 | 1 | no | — |
| 146 | C2×C4×C73 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 147 | C2×C4×C73 | C4×D4 | 1 | 2 | yes | — |
| 148 | C22⋊D73 | — | 8 | 1 | no | — |
| 149 | C22⋊D73 | — | 8 | 1 | no | — |
| 150 | C22⋊D73 | — | 8 | 1 | no | — |
| 151 | C2×Dic73 | — | 2 | 1 | no | — |
| 152 | C2×Dic73 | — | 4 | 1 | no | — |
| 153 | C2×Dic73 | — | 8 | 1 | no | — |
| 154 | C2×Dic73 | — | 8 | 1 | no | — |
| 155 | C2×Dic73 | #121 | 1 | 2 | yes | — |
| 156 | C2×Dic73 | #123 | 1 | 1 | yes | characteristic |
| 157 | D292 | — | 4 | 1 | no | — |
| 158 | C4×D73 | — | 2 | 1 | no | — |
| 159 | C4×D73 | — | 2 | 1 | no | — |
| 160 | C4×D73 | — | 4 | 2 | no | — |
| 161 | C4×D73 | — | 4 | 1 | no | — |
| 162 | C4×D73 | — | 4 | 1 | no | — |
| 163 | Dic146 | — | 4 | 1 | no | — |
| 164 | Dic146 | — | 4 | 1 | no | — |
| 165 | Dic146 | — | 4 | 1 | no | — |
| 166 | Dic146 | — | 8 | 1 | no | — |
| 167 | #10596833 | — | 8 | 2 | no | — |
| 168 | C8×C73 | — | 2 | 2 | no | — |
| 169 | #10596831 | — | 2 | 2 | no | — |
| 170 | C22×C73 | — | 4 | 1 | no | — |
| 171 | C22×C73 | — | 4 | 2 | no | — |
| 172 | C22×C73 | — | 8 | 1 | no | — |
| 173 | C22×C73 | — | 8 | 2 | no | — |
| 174 | C22×C73 | #386 | 1 | 1 | yes | characteristic |
| 175 | C2×D73 | — | 2 | 2 | no | — |
| 176 | C2×D73 | — | 4 | 1 | no | — |
| 177 | C2×D73 | — | 4 | 2 | no | — |
| 178 | C2×D73 | — | 8 | 1 | no | — |
| 179 | C2×D73 | — | 8 | 1 | no | — |
| 180 | C2×D73 | — | 8 | 2 | no | — |
| 181 | C2×D73 | #453 | 1 | 1 | yes | characteristic |
| 182 | C2×D73 | #453 | 1 | 1 | yes | characteristic |
| 183 | #64408 | — | 4 | 4 | no | — |
| 184 | #64408 | — | 8 | 2 | no | — |
| 185 | C4×C73 | — | 2 | 1 | no | — |
| 186 | C4×C73 | — | 2 | 2 | no | — |
| 187 | C4×C73 | — | 4 | 1 | no | — |
| 188 | Dic73 | — | 2 | 1 | no | — |
| 189 | Dic73 | — | 2 | 2 | no | — |
| 190 | Dic73 | — | 4 | 1 | no | — |
| 191 | Dic73 | — | 8 | 1 | no | — |
| 192 | #9441 | — | 73 | 1 | no | maximal, Sylow |
| 193 | C2×C73 | — | 8 | 1 | no | — |
| 194 | C2×C73 | — | 16 | 1 | no | — |
| 195 | C2×C73 | #1887 | 1 | 1 | yes | characteristic |
| 196 | C2×C73 | #1906 | 1 | 2 | yes | — |
| 197 | D73 | — | 2 | 1 | no | — |
| 198 | D73 | — | 2 | 1 | no | — |
| 199 | D73 | — | 8 | 1 | no | — |
| 200 | #3153 | — | 73 | 1 | no | — |
| 201 | #2372 | — | 73 | 1 | no | — |
| 202 | #1533 | — | 73 | 1 | no | — |
| 203 | #1505 | — | 73 | 2 | no | — |
| 204 | #1300 | — | 73 | 2 | no | — |
| 205 | C73 | #9441 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 206 | C2×#137 | — | 146 | 1 | no | — |
| 207 | C2×AGL(1,ℤ/8) | — | 146 | 1 | no | — |
| 208 | #532 | — | 73 | 1 | no | — |
| 209 | C2×#124 | — | 73 | 1 | no | — |
| 210 | #497 | — | 73 | 1 | no | — |
| 211 | #497 | — | 73 | 1 | no | — |
| 212 | #496 | — | 73 | 1 | no | — |
| 213 | #496 | #64408 | 1 | 1 | yes | characteristic, complemented |
| 214 | #495 | — | 146 | 1 | no | — |
| 215 | #495 | — | 146 | 1 | no | — |
| 216 | #432 | — | 73 | 2 | no | — |
| 217 | C4×M16 | — | 73 | 1 | no | — |
| 218 | #391 | — | 146 | 1 | no | — |
| 219 | #388 | — | 146 | 2 | no | — |
| 220 | #386 | — | 146 | 1 | no | — |
| 221 | C4×C22⋊C4 | — | 146 | 2 | no | — |
| 222 | #376 | — | 73 | 2 | no | — |
| 223 | #329 | — | 146 | 1 | no | — |
| 224 | #329 | — | 146 | 1 | no | — |
| 225 | #327 | — | 146 | 2 | no | — |
| 226 | #327 | — | 146 | 2 | no | — |
| 227 | C2×#41 | — | 146 | 1 | no | — |
| 228 | C22×Q8 | — | 73 | 1 | no | — |
| 229 | C22×D4 | — | 73 | 1 | no | — |
| 230 | C23×C4 | — | 146 | 1 | no | — |
| 231 | #137 | — | 292 | 2 | no | — |
| 232 | #137 | — | 292 | 2 | no | — |
| 233 | AGL(1,ℤ/8) | — | 292 | 2 | no | — |
| 234 | AGL(1,ℤ/8) | — | 292 | 2 | no | — |
| 235 | C2×Q16 | — | 146 | 1 | no | — |
| 236 | C2×Q16 | — | 146 | 1 | no | — |
| 237 | C2×SD16 | — | 2 | 1 | no | — |
| 238 | C2×SD16 | — | 146 | 1 | no | — |
| 239 | C2×SD16 | — | 146 | 1 | no | — |
| 240 | C2×SD16 | — | 146 | 1 | no | — |
| 241 | C2×D8 | — | 2 | 1 | no | — |
| 242 | C2×D8 | — | 146 | 1 | no | — |
| 243 | C2×M16 | — | 146 | 1 | no | — |
| 244 | C4⋊Q8 | — | 73 | 1 | no | — |
| 245 | #127 | C2×#64408 | 1 | 1 | yes | characteristic, complemented |
| 246 | #124 | — | 73 | 1 | no | — |
| 247 | #124 | — | 73 | 1 | no | — |
| 248 | #124 | — | 73 | 1 | no | — |
| 249 | #124 | — | 146 | 2 | no | — |
| 250 | #124 | — | 146 | 1 | no | — |
| 251 | #124 | C2×#64408 | 1 | 1 | yes | characteristic |
| 252 | #121 | — | 146 | 2 | no | — |
| 253 | C4×D4 | — | 146 | 2 | no | — |
| 254 | C2×C4⋊C4 | — | 146 | 1 | no | — |
| 255 | C2×C22⋊C4 | — | 146 | 2 | no | — |
| 256 | C2×C22⋊C4 | — | 146 | 2 | no | — |
| 257 | C2×C22⋊C4 | — | 146 | 1 | no | — |
| 258 | C2×C42 | — | 73 | 1 | no | — |
| 259 | C2×C42 | — | 146 | 2 | no | — |
| 260 | C2×C42 | — | 146 | 1 | no | — |
| 261 | C4⋊C8 | — | 146 | 2 | no | — |
| 262 | C22⋊C8 | — | 146 | 2 | no | — |
| 263 | #97 | — | 73 | 1 | no | — |
| 264 | #97 | — | 146 | 2 | no | — |
| 265 | #97 | C2×#64408 | 1 | 1 | yes | characteristic, complemented |
| 266 | C4×C8 | — | 146 | 1 | no | — |
| 267 | #95 | — | 73 | 2 | no | — |
| 268 | #95 | — | 73 | 2 | no | — |
| 269 | #95 | — | 146 | 2 | no | — |
| 270 | #95 | — | 146 | 2 | no | — |
| 271 | C24 | — | 146 | 1 | no | — |
| 272 | #41 | — | 292 | 1 | no | — |
| 273 | #41 | — | 292 | 1 | no | — |
| 274 | #41 | — | 292 | 1 | no | — |
| 275 | #41 | — | 292 | 1 | no | — |
| 276 | C2×Q8 | — | 292 | 1 | no | — |
| 277 | C2×Q8 | — | 292 | 1 | no | — |
| 278 | C2×Q8 | — | 73 | 1 | no | — |
| 279 | C2×Q8 | — | 146 | 1 | no | — |
| 280 | C2×Q8 | — | 146 | 1 | no | — |
| 281 | C2×Q8 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 282 | C2×D4 | — | 2 | 1 | no | — |
| 283 | C2×D4 | — | 2 | 2 | no | — |
| 284 | C2×D4 | — | 292 | 1 | no | — |
| 285 | C2×D4 | — | 292 | 1 | no | — |
| 286 | C2×D4 | — | 292 | 1 | no | — |
| 287 | C2×D4 | — | 73 | 1 | no | — |
| 288 | C2×D4 | — | 146 | 1 | no | — |
| 289 | C2×D4 | C22⋊#64408 | 1 | 1 | yes | characteristic |
| 290 | C22×C4 | — | 292 | 1 | no | — |
| 291 | C22×C4 | — | 292 | 4 | no | — |
| 292 | C22×C4 | — | 584 | 1 | no | — |
| 293 | C22×C4 | — | 73 | 2 | no | — |
| 294 | C22×C4 | — | 73 | 1 | no | — |
| 295 | C22×C4 | — | 146 | 1 | no | — |
| 296 | C22×C4 | — | 146 | 2 | no | — |
| 297 | C22×C4 | — | 146 | 2 | no | — |
| 298 | Q16 | — | 292 | 2 | no | — |
| 299 | Q16 | — | 292 | 2 | no | — |
| 300 | SD16 | — | 4 | 2 | no | — |
| 301 | SD16 | — | 292 | 2 | no | — |
| 302 | SD16 | — | 292 | 2 | no | — |
| 303 | SD16 | — | 292 | 2 | no | — |
| 304 | D8 | — | 4 | 2 | no | — |
| 305 | D8 | — | 292 | 2 | no | — |
| 306 | M16 | — | 146 | 2 | no | — |
| 307 | M16 | — | 146 | 2 | no | — |
| 308 | C2×C8 | — | 2 | 1 | no | — |
| 309 | C2×C8 | — | 292 | 2 | no | — |
| 310 | C2×C8 | — | 146 | 1 | no | — |
| 311 | C4⋊C4 | — | 584 | 1 | no | — |
| 312 | C4⋊C4 | — | 146 | 2 | no | — |
| 313 | C22⋊C4 | — | 2 | 2 | no | — |
| 314 | C22⋊C4 | — | 292 | 2 | no | — |
| 315 | C22⋊C4 | — | 292 | 4 | no | — |
| 316 | C22⋊C4 | — | 584 | 1 | no | — |
| 317 | C22⋊C4 | — | 146 | 2 | no | — |
| 318 | C22⋊C4 | — | 146 | 2 | no | — |
| 319 | C22⋊C4 | — | 146 | 2 | no | — |
| 320 | C42 | — | 292 | 4 | no | — |
| 321 | C42 | — | 584 | 1 | no | — |
| 322 | C42 | — | 73 | 1 | no | — |
| 323 | C42 | — | 73 | 2 | no | — |
| 324 | C42 | C22×#64408 | 1 | 1 | yes | characteristic |
| 325 | C23 | — | 2 | 1 | no | — |
| 326 | C23 | — | 4 | 1 | no | — |
| 327 | C23 | — | 292 | 1 | no | — |
| 328 | C23 | — | 292 | 1 | no | — |
| 329 | C23 | — | 292 | 2 | no | — |
| 330 | C23 | — | 292 | 2 | no | — |
| 331 | C23 | — | 73 | 1 | no | — |
| 332 | C23 | — | 146 | 1 | no | — |
| 333 | Q8 | — | 4 | 1 | no | — |
| 334 | Q8 | — | 292 | 1 | no | — |
| 335 | Q8 | — | 292 | 1 | no | — |
| 336 | Q8 | — | 292 | 1 | no | — |
| 337 | Q8 | — | 584 | 1 | no | — |
| 338 | D4 | — | 4 | 1 | no | — |
| 339 | D4 | — | 4 | 1 | no | — |
| 340 | D4 | — | 4 | 1 | no | — |
| 341 | D4 | — | 8 | 2 | no | — |
| 342 | D4 | — | 292 | 1 | no | — |
| 343 | D4 | — | 584 | 1 | no | — |
| 344 | D4 | — | 584 | 1 | no | — |
| 345 | D4 | — | 584 | 1 | no | — |
| 346 | C2×C4 | — | 2 | 1 | no | — |
| 347 | C2×C4 | — | 292 | 2 | no | — |
| 348 | C2×C4 | — | 292 | 1 | no | — |
| 349 | C2×C4 | — | 292 | 1 | no | — |
| 350 | C2×C4 | — | 292 | 2 | no | — |
| 351 | C2×C4 | — | 292 | 2 | no | — |
| 352 | C2×C4 | — | 292 | 2 | no | — |
| 353 | C2×C4 | — | 292 | 2 | no | — |
| 354 | C2×C4 | — | 292 | 2 | no | — |
| 355 | C2×C4 | — | 292 | 1 | no | — |
| 356 | C2×C4 | — | 584 | 4 | no | — |
| 357 | C2×C4 | — | 584 | 1 | no | — |
| 358 | C2×C4 | — | 584 | 1 | no | — |
| 359 | C2×C4 | — | 73 | 2 | no | — |
| 360 | C2×C4 | — | 73 | 1 | no | — |
| 361 | C2×C4 | — | 146 | 1 | no | — |
| 362 | C2×C4 | — | 146 | 1 | no | — |
| 363 | C2×C4 | — | 146 | 4 | no | — |
| 364 | C2×C4 | — | 146 | 1 | no | — |
| 365 | C2×C4 | C2×C22⋊#64408 | 1 | 1 | yes | characteristic |
| 366 | C2×C4 | D4×#64408 | 1 | 2 | yes | — |
| 367 | C8 | — | 2 | 2 | no | — |
| 368 | C8 | — | 584 | 2 | no | — |
| 369 | C8 | — | 146 | 2 | no | — |
| 370 | C22 | — | 4 | 1 | no | — |
| 371 | C22 | — | 4 | 2 | no | — |
| 372 | C22 | — | 8 | 1 | no | — |
| 373 | C22 | — | 8 | 2 | no | — |
| 374 | C22 | — | 292 | 1 | no | — |
| 375 | C22 | — | 292 | 2 | no | — |
| 376 | C22 | — | 584 | 1 | no | — |
| 377 | C22 | — | 584 | 1 | no | — |
| 378 | C22 | — | 584 | 2 | no | — |
| 379 | C22 | — | 73 | 1 | no | — |
| 380 | C22 | — | 73 | 1 | no | — |
| 381 | C22 | — | 146 | 2 | no | — |
| 382 | C22 | #17989535 | 1 | 1 | yes | characteristic |
| 383 | C4 | — | 2 | 1 | no | — |
| 384 | C4 | — | 2 | 2 | no | — |
| 385 | C4 | — | 4 | 1 | no | — |
| 386 | C4 | — | 292 | 4 | no | — |
| 387 | C4 | — | 292 | 1 | no | — |
| 388 | C4 | — | 584 | 2 | no | — |
| 389 | C4 | — | 584 | 1 | no | — |
| 390 | C4 | — | 146 | 1 | no | — |
| 391 | C4 | — | 146 | 2 | no | — |
| 392 | C2 | — | 8 | 1 | no | — |
| 393 | C2 | — | 16 | 1 | no | — |
| 394 | C2 | — | 584 | 1 | no | — |
| 395 | C2 | — | 146 | 1 | no | — |
| 396 | C2 | — | 146 | 1 | no | — |
| 397 | C2 | #22625938 | 1 | 1 | yes | characteristic |
| 398 | C2 | #22625968 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #22626467 | C2 | semidirect |
| 2. #22625411 | C2 | semidirect |
| 3. #22625320 | C2 | semidirect |
| 4. #22624820 | C2 | semidirect |
| 20. #17988982 | C4 | semidirect |
| 21. #17988981 | C4 | semidirect |
| 22. #17988974 | C4 | semidirect |
| 26. #496×C73 | C4 | semidirect |
| 54. #14556591 | C2×C4 | semidirect |
| 64. #14556502 | C2×C4 | semidirect |
| 68. #127×C73 | C2×C4 | semidirect |
| 70. #97×C73 | C2×C4 | semidirect |
| 205. C73 | #9441 | semidirect |
| 213. #496 | #64408 | semidirect |
| 245. #127 | C2×#64408 | semidirect |
| 265. #97 | C2×#64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626467 | 2 |
| #22625411 | 2 |
| #22625320 | 2 |
| #22624820 | 2 |
| #22620396 | 2 |
| #9441 | 73 |