Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
622 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 85 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 | #14539773 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14539704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#11763198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #14527497 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #14527394 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #14527135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C17×#1302 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×#63219 | — | 2 | 1 | no | — |
| 9 | C22×D136 | — | 2 | 1 | no | — |
| 10 | #11763359 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#10587560 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#10587561 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11763198 | — | 2 | 2 | no | — |
| 14 | #11763198 | — | 2 | 1 | no | — |
| 15 | #11763198 | — | 2 | 2 | no | — |
| 16 | #11763186 | — | 2 | 1 | no | — |
| 17 | #11763169 | — | 2 | 1 | no | — |
| 18 | #11763156 | — | 2 | 1 | no | — |
| 19 | #11763025 | — | 2 | 2 | no | — |
| 20 | #11763005 | — | 2 | 2 | no | — |
| 21 | #11762950 | — | 2 | 1 | no | — |
| 22 | #11762945 | — | 2 | 2 | no | — |
| 23 | #11762945 | — | 2 | 1 | no | — |
| 24 | #11762866 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11762552 | — | 2 | 2 | no | — |
| 26 | #11762548 | — | 2 | 2 | no | — |
| 27 | #11762532 | — | 2 | 2 | no | — |
| 28 | C17×#432 | C22 | 1 | 1 | yes | characteristic |
| 29 | C17×#431 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×C17×#97 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#63252 | — | 2 | 1 | no | — |
| 32 | C22×D68 | — | 2 | 1 | no | — |
| 33 | C22×D68 | — | 2 | 1 | no | — |
| 34 | C22×D68 | — | 2 | 1 | no | — |
| 35 | C22×D68 | D4 | 1 | 1 | yes | characteristic |
| 36 | C22×Dic34 | D4 | 1 | 1 | yes | characteristic |
| 37 | C22×C8×C17 | — | 2 | 1 | no | — |
| 38 | C2×C42×C17 | C23 | 1 | 1 | yes | characteristic |
| 39 | #10587616 | — | 2 | 1 | no | — |
| 40 | #10587616 | — | 2 | 1 | no | — |
| 41 | C2×#63227 | — | 2 | 1 | no | — |
| 42 | C2×#63227 | — | 2 | 1 | no | — |
| 43 | C2×D136 | — | 2 | 4 | no | — |
| 44 | C2×D136 | — | 2 | 4 | no | — |
| 45 | C2×D136 | — | 2 | 2 | no | — |
| 46 | C2×D136 | — | 4 | 4 | no | — |
| 47 | C2×#63219 | — | 2 | 4 | no | — |
| 48 | C2×#63219 | — | 2 | 2 | no | — |
| 49 | C2×#63219 | — | 4 | 4 | no | — |
| 50 | #10587561 | — | 2 | 1 | no | — |
| 51 | #10587561 | — | 2 | 1 | no | — |
| 52 | #10587561 | — | 2 | 1 | no | — |
| 53 | #10587561 | — | 2 | 1 | no | — |
| 54 | #10587561 | — | 2 | 1 | no | — |
| 55 | #10587560 | — | 2 | 1 | no | — |
| 56 | #10587560 | — | 2 | 1 | no | — |
| 57 | #10587560 | — | 2 | 1 | no | — |
| 58 | #10587560 | D4 | 1 | 2 | yes | — |
| 59 | #10587560 | D4 | 1 | 1 | yes | characteristic |
| 60 | C4×D68 | — | 2 | 1 | no | — |
| 61 | C4×D68 | — | 2 | 1 | no | — |
| 62 | #10587555 | D4 | 1 | 1 | yes | characteristic |
| 63 | C17×C4⋊C8 | — | 2 | 1 | no | — |
| 64 | C17×C4⋊C8 | D4 | 1 | 2 | yes | — |
| 65 | C17×C22⋊C8 | — | 2 | 1 | no | — |
| 66 | C17×C22⋊C8 | D4 | 1 | 2 | yes | — |
| 67 | C17×#97 | — | 2 | 1 | no | — |
| 68 | C17×#97 | — | 2 | 1 | no | — |
| 69 | C17×#97 | D4 | 1 | 2 | yes | — |
| 70 | C4×C8×C17 | — | 2 | 1 | no | — |
| 71 | C22⋊#3622 | — | 2 | 1 | no | — |
| 72 | #10587492 | — | 2 | 4 | no | — |
| 73 | #10587492 | — | 2 | 2 | no | — |
| 74 | #10587487 | — | 2 | 2 | no | — |
| 75 | C4⋊#3622 | — | 2 | 1 | no | — |
| 76 | #10587474 | — | 2 | 1 | no | — |
| 77 | C23×D17 | — | 2 | 1 | no | — |
| 78 | C23×D17 | — | 4 | 1 | no | — |
| 79 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 80 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 81 | C22×C4×C17 | #41 | 1 | 1 | yes | characteristic |
| 82 | C2×C22⋊D17 | — | 4 | 1 | no | — |
| 83 | C22×Dic17 | — | 2 | 1 | no | — |
| 84 | #63252 | — | 8 | 2 | no | — |
| 85 | C2×D68 | — | 2 | 2 | no | — |
| 86 | C2×D68 | — | 2 | 2 | no | — |
| 87 | C2×D68 | — | 2 | 1 | no | — |
| 88 | C2×D68 | — | 2 | 1 | no | — |
| 89 | C2×D68 | — | 2 | 1 | no | — |
| 90 | C2×D68 | — | 2 | 1 | no | — |
| 91 | C2×D68 | — | 2 | 2 | no | — |
| 92 | C2×D68 | — | 2 | 1 | no | — |
| 93 | C2×D68 | — | 4 | 2 | no | — |
| 94 | C2×D68 | — | 4 | 2 | no | — |
| 95 | C2×D68 | — | 4 | 2 | no | — |
| 96 | C2×D68 | — | 4 | 1 | no | — |
| 97 | C2×D68 | — | 4 | 1 | no | — |
| 98 | C2×D68 | — | 4 | 1 | no | — |
| 99 | C2×D68 | — | 8 | 2 | no | — |
| 100 | C2×D68 | — | 8 | 2 | no | — |
| 101 | C2×C4×D17 | — | 4 | 1 | no | — |
| 102 | C2×Dic34 | — | 2 | 1 | no | — |
| 103 | C2×Dic34 | — | 2 | 1 | no | — |
| 104 | C2×Dic34 | — | 2 | 1 | no | — |
| 105 | C2×Dic34 | — | 4 | 2 | no | — |
| 106 | C2×C8×C17 | — | 2 | 4 | no | — |
| 107 | C2×C8×C17 | — | 2 | 2 | no | — |
| 108 | C2×C8×C17 | — | 2 | 2 | no | — |
| 109 | C2×C8×C17 | — | 2 | 2 | no | — |
| 110 | C42×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C42×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C42×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C42×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | #63227 | — | 4 | 1 | no | — |
| 115 | #63227 | — | 4 | 1 | no | — |
| 116 | #63227 | — | 4 | 1 | no | — |
| 117 | #63227 | — | 4 | 1 | no | — |
| 118 | #63227 | — | 4 | 1 | no | — |
| 119 | #63227 | — | 4 | 1 | no | — |
| 120 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 121 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 122 | C2×#3622 | — | 4 | 1 | no | — |
| 123 | D136 | — | 4 | 8 | no | — |
| 124 | D136 | — | 8 | 4 | no | — |
| 125 | D136 | — | 8 | 2 | no | — |
| 126 | #63219 | — | 4 | 8 | no | — |
| 127 | #63219 | — | 8 | 2 | no | — |
| 128 | #10128 | — | 17 | 1 | no | maximal, Sylow |
| 129 | C23×C17 | #121 | 1 | 1 | yes | characteristic |
| 130 | C22×D17 | — | 4 | 1 | no | — |
| 131 | C22×D17 | — | 4 | 2 | no | — |
| 132 | C22×D17 | — | 4 | 1 | no | — |
| 133 | C22×D17 | — | 4 | 2 | no | — |
| 134 | C22×D17 | — | 8 | 2 | no | — |
| 135 | C22×D17 | — | 8 | 2 | no | — |
| 136 | C22×D17 | — | 8 | 2 | no | — |
| 137 | C22×D17 | — | 8 | 1 | no | — |
| 138 | C22×D17 | — | 8 | 1 | no | — |
| 139 | C2×C4×C17 | — | 2 | 2 | no | — |
| 140 | C2×C4×C17 | — | 2 | 2 | no | — |
| 141 | C2×C4×C17 | — | 4 | 1 | no | — |
| 142 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C17 | #120 | 1 | 1 | yes | characteristic |
| 145 | C2×C4×C17 | #121 | 1 | 1 | yes | characteristic |
| 146 | C2×C4×C17 | #121 | 1 | 1 | yes | characteristic |
| 147 | C2×C4×C17 | #127 | 1 | 1 | yes | characteristic |
| 148 | C22⋊D17 | — | 8 | 2 | no | — |
| 149 | C2×Dic17 | — | 4 | 1 | no | — |
| 150 | C2×Dic17 | — | 4 | 1 | no | — |
| 151 | C2×Dic17 | — | 8 | 1 | no | — |
| 152 | D68 | — | 4 | 2 | no | — |
| 153 | D68 | — | 4 | 2 | no | — |
| 154 | D68 | — | 4 | 2 | no | — |
| 155 | D68 | — | 4 | 4 | no | — |
| 156 | D68 | — | 4 | 2 | no | — |
| 157 | D68 | — | 4 | 2 | no | — |
| 158 | D68 | — | 4 | 2 | no | — |
| 159 | D68 | — | 8 | 2 | no | — |
| 160 | D68 | — | 8 | 1 | no | — |
| 161 | D68 | — | 8 | 2 | no | — |
| 162 | D68 | — | 8 | 2 | no | — |
| 163 | D68 | — | 8 | 2 | no | — |
| 164 | C4×D17 | — | 8 | 2 | no | — |
| 165 | Dic34 | — | 4 | 2 | no | — |
| 166 | Dic34 | — | 4 | 2 | no | — |
| 167 | Dic34 | — | 8 | 1 | no | — |
| 168 | C8×C17 | — | 2 | 4 | no | — |
| 169 | C8×C17 | — | 4 | 2 | no | — |
| 170 | C8×C17 | — | 4 | 2 | no | — |
| 171 | #3622 | — | 8 | 1 | no | — |
| 172 | #3213 | — | 17 | 1 | no | — |
| 173 | #3205 | — | 17 | 1 | no | — |
| 174 | C2×#496 | — | 17 | 1 | no | — |
| 175 | #1555 | — | 17 | 1 | no | — |
| 176 | #1530 | — | 17 | 1 | no | — |
| 177 | #1469 | — | 17 | 1 | no | — |
| 178 | #1302 | D17 | 1 | 1 | yes | characteristic, complemented |
| 179 | C22×C17 | — | 2 | 1 | no | — |
| 180 | C22×C17 | — | 2 | 1 | no | — |
| 181 | C22×C17 | #392 | 1 | 1 | yes | characteristic |
| 182 | C22×C17 | #472 | 1 | 2 | yes | — |
| 183 | C2×D17 | — | 8 | 1 | no | — |
| 184 | C2×D17 | — | 8 | 2 | no | — |
| 185 | C2×D17 | — | 8 | 1 | no | — |
| 186 | C2×D17 | — | 8 | 2 | no | — |
| 187 | C2×D17 | — | 8 | 1 | no | — |
| 188 | C2×D17 | — | 8 | 1 | no | — |
| 189 | C2×D17 | — | 8 | 1 | no | — |
| 190 | C2×D17 | — | 8 | 2 | no | — |
| 191 | C2×D17 | — | 8 | 1 | no | — |
| 192 | C2×D17 | — | 16 | 4 | no | — |
| 193 | C2×D17 | — | 16 | 2 | no | — |
| 194 | C4×C17 | — | 2 | 1 | no | — |
| 195 | C4×C17 | — | 2 | 1 | no | — |
| 196 | C4×C17 | — | 2 | 1 | no | — |
| 197 | C4×C17 | — | 2 | 1 | no | — |
| 198 | C4×C17 | — | 2 | 1 | no | — |
| 199 | C4×C17 | #453 | 1 | 2 | yes | — |
| 200 | Dic17 | — | 8 | 1 | no | — |
| 201 | Dic17 | — | 8 | 1 | no | — |
| 202 | C22×SD16 | — | 34 | 1 | no | — |
| 203 | C22×D8 | — | 34 | 1 | no | — |
| 204 | #532 | — | 17 | 1 | no | — |
| 205 | C2×#127 | — | 17 | 1 | no | — |
| 206 | C2×#124 | — | 17 | 1 | no | — |
| 207 | #496 | — | 34 | 2 | no | — |
| 208 | #496 | — | 34 | 1 | no | — |
| 209 | #496 | — | 34 | 2 | no | — |
| 210 | #493 | — | 34 | 1 | no | — |
| 211 | #489 | — | 34 | 1 | no | — |
| 212 | #486 | — | 34 | 1 | no | — |
| 213 | #463 | — | 34 | 2 | no | — |
| 214 | #459 | — | 34 | 2 | no | — |
| 215 | #448 | — | 34 | 1 | no | — |
| 216 | #447 | — | 34 | 1 | no | — |
| 217 | #447 | — | 34 | 2 | no | — |
| 218 | #432 | — | 17 | 1 | no | — |
| 219 | #432 | C2×D17 | 1 | 1 | yes | characteristic |
| 220 | #431 | C2×D17 | 1 | 1 | yes | characteristic |
| 221 | C2×#97 | C2×D17 | 1 | 1 | yes | characteristic |
| 222 | #331 | — | 34 | 2 | no | — |
| 223 | #329 | — | 34 | 2 | no | — |
| 224 | #323 | — | 34 | 2 | no | — |
| 225 | C2×C17 | — | 2 | 2 | no | — |
| 226 | C2×C17 | #2002 | 1 | 1 | yes | characteristic |
| 227 | C2×C17 | #2008 | 1 | 1 | yes | characteristic |
| 228 | C2×C17 | #2018 | 1 | 1 | yes | characteristic |
| 229 | D17 | — | 16 | 1 | no | — |
| 230 | D17 | — | 16 | 1 | no | — |
| 231 | D17 | — | 16 | 2 | no | — |
| 232 | C2×#41 | — | 34 | 1 | no | — |
| 233 | C22×Q8 | — | 17 | 1 | no | — |
| 234 | C22×D4 | — | 17 | 1 | no | — |
| 235 | C22×D4 | — | 34 | 1 | no | — |
| 236 | C22×D4 | — | 34 | 1 | no | — |
| 237 | C22×D4 | — | 34 | 1 | no | — |
| 238 | C2×SD16 | — | 34 | 4 | no | — |
| 239 | C2×SD16 | — | 34 | 2 | no | — |
| 240 | C2×SD16 | — | 68 | 4 | no | — |
| 241 | C2×D8 | — | 34 | 4 | no | — |
| 242 | C2×D8 | — | 34 | 4 | no | — |
| 243 | C2×D8 | — | 34 | 2 | no | — |
| 244 | C2×D8 | — | 68 | 4 | no | — |
| 245 | C22×C8 | — | 2 | 1 | no | — |
| 246 | C4⋊Q8 | — | 17 | 1 | no | — |
| 247 | #127 | — | 17 | 2 | no | — |
| 248 | #127 | — | 17 | 1 | no | — |
| 249 | #127 | — | 34 | 1 | no | — |
| 250 | #127 | — | 34 | 1 | no | — |
| 251 | #127 | — | 34 | 1 | no | — |
| 252 | #124 | — | 34 | 1 | no | — |
| 253 | #124 | — | 34 | 1 | no | — |
| 254 | #124 | — | 34 | 1 | no | — |
| 255 | #124 | — | 34 | 1 | no | — |
| 256 | #124 | — | 34 | 1 | no | — |
| 257 | #121 | — | 34 | 1 | no | — |
| 258 | #121 | — | 34 | 1 | no | — |
| 259 | C4×D4 | — | 34 | 1 | no | — |
| 260 | C4×D4 | — | 34 | 1 | no | — |
| 261 | C2×C22⋊C4 | — | 34 | 1 | no | — |
| 262 | C2×C22⋊C4 | — | 34 | 1 | no | — |
| 263 | C2×C42 | C22×D17 | 1 | 1 | yes | characteristic |
| 264 | C4⋊C8 | — | 2 | 1 | no | — |
| 265 | C4⋊C8 | — | 34 | 1 | no | — |
| 266 | C4⋊C8 | D68 | 1 | 2 | yes | — |
| 267 | #103 | — | 34 | 2 | no | — |
| 268 | #102 | — | 34 | 4 | no | — |
| 269 | #102 | — | 34 | 2 | no | — |
| 270 | C22⋊C8 | — | 2 | 1 | no | — |
| 271 | C22⋊C8 | — | 34 | 1 | no | — |
| 272 | C22⋊C8 | D68 | 1 | 2 | yes | — |
| 273 | #97 | — | 2 | 1 | no | — |
| 274 | #97 | — | 2 | 1 | no | — |
| 275 | #97 | — | 34 | 1 | no | — |
| 276 | #97 | D68 | 1 | 2 | yes | — |
| 277 | C4×C8 | — | 2 | 1 | no | — |
| 278 | C17 | #10128 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 279 | C24 | — | 34 | 1 | no | — |
| 280 | C24 | — | 68 | 1 | no | — |
| 281 | #41 | — | 136 | 2 | no | — |
| 282 | C2×Q8 | — | 34 | 1 | no | — |
| 283 | C2×Q8 | — | 34 | 1 | no | — |
| 284 | C2×Q8 | — | 34 | 1 | no | — |
| 285 | C2×Q8 | — | 68 | 2 | no | — |
| 286 | C2×D4 | — | 34 | 1 | no | — |
| 287 | C2×D4 | — | 34 | 2 | no | — |
| 288 | C2×D4 | — | 34 | 1 | no | — |
| 289 | C2×D4 | — | 34 | 1 | no | — |
| 290 | C2×D4 | — | 34 | 1 | no | — |
| 291 | C2×D4 | — | 34 | 2 | no | — |
| 292 | C2×D4 | — | 34 | 1 | no | — |
| 293 | C2×D4 | — | 34 | 2 | no | — |
| 294 | C2×D4 | — | 68 | 2 | no | — |
| 295 | C2×D4 | — | 68 | 2 | no | — |
| 296 | C2×D4 | — | 68 | 2 | no | — |
| 297 | C2×D4 | — | 68 | 1 | no | — |
| 298 | C2×D4 | — | 68 | 1 | no | — |
| 299 | C2×D4 | — | 68 | 1 | no | — |
| 300 | C2×D4 | — | 68 | 1 | no | — |
| 301 | C2×D4 | — | 136 | 2 | no | — |
| 302 | C2×D4 | — | 136 | 2 | no | — |
| 303 | C22×C4 | — | 34 | 1 | no | — |
| 304 | C22×C4 | — | 68 | 1 | no | — |
| 305 | C22×C4 | C2×D68 | 1 | 1 | yes | characteristic |
| 306 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 307 | C22×C4 | #63256 | 1 | 1 | yes | characteristic |
| 308 | SD16 | — | 68 | 8 | no | — |
| 309 | SD16 | — | 136 | 2 | no | — |
| 310 | D8 | — | 68 | 8 | no | — |
| 311 | D8 | — | 136 | 4 | no | — |
| 312 | D8 | — | 136 | 2 | no | — |
| 313 | C2×C8 | — | 2 | 4 | no | — |
| 314 | C2×C8 | — | 2 | 2 | no | — |
| 315 | C2×C8 | — | 2 | 2 | no | — |
| 316 | C2×C8 | — | 2 | 2 | no | — |
| 317 | C2×C8 | — | 68 | 1 | no | — |
| 318 | C4⋊C4 | — | 34 | 1 | no | — |
| 319 | C4⋊C4 | — | 34 | 1 | no | — |
| 320 | C22⋊C4 | — | 68 | 1 | no | — |
| 321 | C22⋊C4 | — | 68 | 1 | no | — |
| 322 | C22⋊C4 | — | 68 | 1 | no | — |
| 323 | C22⋊C4 | — | 68 | 1 | no | — |
| 324 | C22⋊C4 | — | 68 | 1 | no | — |
| 325 | C22⋊C4 | — | 68 | 1 | no | — |
| 326 | C42 | C2×D68 | 1 | 1 | yes | characteristic |
| 327 | C42 | C2×D68 | 1 | 1 | yes | characteristic |
| 328 | C42 | D4×D17 | 1 | 1 | yes | characteristic |
| 329 | C42 | D4×D17 | 1 | 1 | yes | characteristic |
| 330 | C23 | — | 68 | 2 | no | — |
| 331 | C23 | — | 68 | 1 | no | — |
| 332 | C23 | — | 68 | 1 | no | — |
| 333 | C23 | — | 68 | 2 | no | — |
| 334 | C23 | — | 136 | 1 | no | — |
| 335 | C23 | — | 136 | 1 | no | — |
| 336 | C23 | — | 136 | 2 | no | — |
| 337 | C23 | — | 136 | 2 | no | — |
| 338 | C23 | — | 136 | 2 | no | — |
| 339 | C23 | #10587581 | 1 | 1 | yes | characteristic |
| 340 | Q8 | — | 68 | 2 | no | — |
| 341 | Q8 | — | 68 | 2 | no | — |
| 342 | Q8 | — | 136 | 1 | no | — |
| 343 | D4 | — | 68 | 2 | no | — |
| 344 | D4 | — | 68 | 2 | no | — |
| 345 | D4 | — | 68 | 2 | no | — |
| 346 | D4 | — | 68 | 4 | no | — |
| 347 | D4 | — | 68 | 2 | no | — |
| 348 | D4 | — | 68 | 2 | no | — |
| 349 | D4 | — | 68 | 2 | no | — |
| 350 | D4 | — | 136 | 2 | no | — |
| 351 | D4 | — | 136 | 1 | no | — |
| 352 | D4 | — | 136 | 2 | no | — |
| 353 | D4 | — | 136 | 2 | no | — |
| 354 | D4 | — | 136 | 2 | no | — |
| 355 | D4 | — | 136 | 2 | no | — |
| 356 | C2×C4 | — | 2 | 2 | no | — |
| 357 | C2×C4 | — | 2 | 2 | no | — |
| 358 | C2×C4 | — | 4 | 1 | no | — |
| 359 | C2×C4 | — | 68 | 1 | no | — |
| 360 | C2×C4 | — | 68 | 1 | no | — |
| 361 | C2×C4 | — | 136 | 2 | no | — |
| 362 | C2×C4 | — | 136 | 1 | no | — |
| 363 | C2×C4 | #10587560 | 1 | 1 | yes | characteristic |
| 364 | C2×C4 | #10587568 | 1 | 1 | yes | characteristic |
| 365 | C2×C4 | #10587568 | 1 | 1 | yes | characteristic |
| 366 | C2×C4 | #10587568 | 1 | 1 | yes | characteristic |
| 367 | C2×C4 | #10587581 | 1 | 1 | yes | characteristic |
| 368 | C2×C4 | #10587581 | 1 | 1 | yes | characteristic |
| 369 | C8 | — | 2 | 4 | no | — |
| 370 | C8 | — | 4 | 2 | no | — |
| 371 | C8 | — | 4 | 2 | no | — |
| 372 | C8 | — | 136 | 1 | no | — |
| 373 | C22 | — | 2 | 1 | no | — |
| 374 | C22 | — | 2 | 1 | no | — |
| 375 | C22 | — | 272 | 2 | no | — |
| 376 | C22 | — | 272 | 4 | no | — |
| 377 | C22 | — | 136 | 1 | no | — |
| 378 | C22 | — | 136 | 2 | no | — |
| 379 | C22 | — | 136 | 1 | no | — |
| 380 | C22 | — | 136 | 2 | no | — |
| 381 | C22 | — | 136 | 1 | no | — |
| 382 | C22 | — | 136 | 1 | no | — |
| 383 | C22 | — | 136 | 1 | no | — |
| 384 | C22 | — | 136 | 2 | no | — |
| 385 | C22 | — | 136 | 1 | no | — |
| 386 | C22 | #11762719 | 1 | 1 | yes | characteristic |
| 387 | C22 | #11763080 | 1 | 2 | yes | — |
| 388 | C4 | — | 2 | 1 | no | — |
| 389 | C4 | — | 2 | 1 | no | — |
| 390 | C4 | — | 2 | 1 | no | — |
| 391 | C4 | — | 2 | 1 | no | — |
| 392 | C4 | — | 2 | 1 | no | — |
| 393 | C4 | — | 136 | 1 | no | — |
| 394 | C4 | — | 136 | 1 | no | — |
| 395 | C4 | #11762978 | 1 | 2 | yes | — |
| 396 | C2 | — | 2 | 2 | no | — |
| 397 | C2 | — | 272 | 2 | no | — |
| 398 | C2 | — | 272 | 1 | no | — |
| 399 | C2 | — | 272 | 1 | no | — |
| 400 | C2 | #14529802 | 1 | 1 | yes | characteristic |
| 401 | C2 | #14529840 | 1 | 1 | yes | characteristic |
| 402 | C2 | #14529894 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14539773 | C2 | semidirect |
| 2. #14539704 | C2 | semidirect |
| 3. C2×#11763198 | C2 | semidirect |
| 4. #14527497 | C2 | semidirect |
| 5. #14527394 | C2 | semidirect |
| 6. #14527135 | C2 | semidirect |
| 7. C17×#1302 | C2 | semidirect |
| 178. #1302 | D17 | semidirect |
| 278. C17 | #10128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539773 | 2 |
| #14539704 | 2 |
| C2×#11763198 | 2 |
| #14527497 | 2 |
| #14527394 | 2 |
| #14527135 | 2 |
| C17×#1302 | 2 |
| #10128 | 17 |