Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
504 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 78 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 | #14545666 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #14544322 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #14544300 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #14543669 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #14539240 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #11763842 | — | 2 | 2 | no | — |
| 7 | #11763836 | — | 2 | 2 | no | — |
| 8 | #11763827 | C22 | 1 | 2 | yes | — |
| 9 | #11763814 | C22 | 1 | 2 | yes | — |
| 10 | #11763784 | — | 2 | 1 | no | — |
| 11 | #11763782 | — | 2 | 1 | no | — |
| 12 | #11763669 | — | 2 | 1 | no | — |
| 13 | #11763668 | — | 2 | 2 | no | — |
| 14 | #11763668 | — | 2 | 2 | no | — |
| 15 | #11763667 | — | 2 | 1 | no | — |
| 16 | C2×#10587604 | — | 2 | 1 | no | — |
| 17 | C2×#10587601 | — | 2 | 1 | no | — |
| 18 | #11763358 | C22 | 1 | 1 | yes | characteristic |
| 19 | C4⋊Q8×D17 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11763204 | C4 | 1 | 1 | yes | characteristic |
| 21 | #11763203 | C4 | 1 | 1 | yes | characteristic |
| 22 | #11763201 | C4 | 1 | 1 | yes | characteristic |
| 23 | #11763187 | — | 2 | 1 | no | — |
| 24 | #11763180 | — | 2 | 1 | no | — |
| 25 | #11762761 | C22 | 1 | 1 | yes | characteristic |
| 26 | C17×#497 | C4 | 1 | 1 | yes | characteristic |
| 27 | C2×#63256 | D4 | 1 | 1 | yes | characteristic |
| 28 | C2×Q8×D17 | — | 2 | 1 | no | — |
| 29 | C2×#63254 | D4 | 1 | 1 | yes | characteristic |
| 30 | C2×#63247 | — | 2 | 1 | no | — |
| 31 | C22×#3624 | — | 2 | 1 | no | — |
| 32 | C2×#63243 | — | 2 | 1 | no | — |
| 33 | C2×#63243 | — | 2 | 2 | no | — |
| 34 | C2×#63242 | — | 2 | 1 | no | — |
| 35 | C2×Q16×C17 | — | 2 | 1 | no | — |
| 36 | C2×SD16×C17 | — | 2 | 1 | no | — |
| 37 | C17×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | C17×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | #10587630 | — | 2 | 1 | no | — |
| 40 | #10587630 | D4 | 1 | 1 | yes | characteristic |
| 41 | C2×#63231 | — | 2 | 1 | no | — |
| 42 | C2×#63231 | — | 2 | 1 | no | — |
| 43 | C2×#63230 | — | 2 | 1 | no | — |
| 44 | #10587626 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×#63229 | — | 2 | 1 | no | — |
| 46 | #10587604 | — | 4 | 2 | no | — |
| 47 | #10587604 | — | 4 | 2 | no | — |
| 48 | #10587601 | — | 4 | 2 | no | — |
| 49 | #10587601 | — | 4 | 2 | no | — |
| 50 | C2×Dic68 | — | 2 | 1 | no | — |
| 51 | C2×#63219 | — | 2 | 1 | no | — |
| 52 | C2×#63218 | — | 2 | 1 | no | — |
| 53 | C4⋊C4×D17 | — | 2 | 2 | no | — |
| 54 | #10587574 | — | 2 | 2 | no | — |
| 55 | #10587570 | — | 2 | 2 | no | — |
| 56 | #10587567 | — | 2 | 2 | no | — |
| 57 | #10587561 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C42×D17 | C23 | 1 | 1 | yes | characteristic |
| 59 | #10587555 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | C22⋊#3624 | — | 2 | 2 | no | — |
| 61 | #10587544 | — | 2 | 2 | no | — |
| 62 | #10587544 | — | 2 | 2 | no | — |
| 63 | #10587544 | D4 | 1 | 2 | yes | — |
| 64 | #10587544 | D4 | 1 | 2 | yes | — |
| 65 | #10587543 | — | 2 | 2 | no | — |
| 66 | #10587543 | — | 2 | 2 | no | — |
| 67 | C4×#3624 | — | 2 | 2 | no | — |
| 68 | C17×#97 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | C8×Dic17 | — | 2 | 1 | no | — |
| 70 | #10587474 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C2×Q8×C17 | — | 2 | 1 | no | — |
| 72 | C2×Q8×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 73 | C2×D4×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 74 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 75 | C2×C22⋊D17 | — | 2 | 2 | no | — |
| 76 | C22×Dic17 | — | 2 | 1 | no | — |
| 77 | #63256 | — | 4 | 1 | no | — |
| 78 | #63256 | — | 4 | 1 | no | — |
| 79 | Q8×D17 | — | 4 | 1 | no | — |
| 80 | Q8×D17 | — | 4 | 1 | no | — |
| 81 | Q8×D17 | — | 4 | 1 | no | — |
| 82 | Q8×D17 | — | 4 | 1 | no | — |
| 83 | #63254 | — | 4 | 1 | no | — |
| 84 | #63254 | — | 4 | 1 | no | — |
| 85 | C2×D68 | — | 2 | 1 | no | — |
| 86 | C2×D68 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 87 | C2×C4×D17 | — | 2 | 1 | no | — |
| 88 | C2×C4×D17 | — | 4 | 1 | no | — |
| 89 | C2×C4×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C2×C4×D17 | #41 | 1 | 2 | yes | — |
| 91 | C2×Dic34 | — | 2 | 1 | no | — |
| 92 | C2×Dic34 | — | 4 | 1 | no | — |
| 93 | C2×Dic34 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 94 | #63247 | — | 8 | 1 | no | — |
| 95 | C2×#3624 | — | 2 | 2 | no | — |
| 96 | C2×#3624 | — | 2 | 2 | no | — |
| 97 | C2×#3624 | — | 4 | 2 | no | — |
| 98 | C2×#3624 | — | 8 | 1 | no | — |
| 99 | #63243 | — | 8 | 1 | no | — |
| 100 | #63243 | — | 8 | 2 | no | — |
| 101 | #63242 | — | 8 | 1 | no | — |
| 102 | Q16×C17 | — | 4 | 2 | no | — |
| 103 | SD16×C17 | — | 4 | 2 | no | — |
| 104 | C2×C8×C17 | — | 2 | 1 | no | — |
| 105 | C4⋊C4×C17 | — | 2 | 2 | no | — |
| 106 | C22⋊C4×C17 | — | 2 | 2 | no | — |
| 107 | C42×C17 | C22×C4 | 1 | 1 | yes | characteristic |
| 108 | #63231 | — | 4 | 2 | no | — |
| 109 | #63231 | — | 4 | 2 | no | — |
| 110 | #63230 | — | 4 | 2 | no | — |
| 111 | #63229 | — | 4 | 2 | no | — |
| 112 | #63227 | — | 2 | 2 | no | — |
| 113 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 114 | #63225 | — | 2 | 2 | no | — |
| 115 | #63225 | — | 4 | 2 | no | — |
| 116 | C4×Dic17 | C2×D4 | 1 | 2 | yes | — |
| 117 | C4×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C2×#3622 | — | 2 | 1 | no | — |
| 119 | Dic68 | — | 4 | 2 | no | — |
| 120 | #63219 | — | 4 | 2 | no | — |
| 121 | #63218 | — | 2 | 2 | no | — |
| 122 | #63218 | — | 2 | 2 | no | — |
| 123 | #9435 | — | 17 | 1 | no | maximal, Sylow |
| 124 | C23×C17 | — | 2 | 1 | no | — |
| 125 | C22×D17 | — | 2 | 1 | no | — |
| 126 | C22×D17 | #123 | 1 | 1 | yes | characteristic |
| 127 | Q8×C17 | — | 4 | 1 | no | — |
| 128 | Q8×C17 | — | 4 | 1 | no | — |
| 129 | Q8×C17 | — | 4 | 1 | no | — |
| 130 | D4×C17 | — | 4 | 1 | no | — |
| 131 | C2×C4×C17 | — | 2 | 1 | no | — |
| 132 | C2×C4×C17 | — | 4 | 1 | no | — |
| 133 | C2×C4×C17 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 134 | C2×C4×C17 | C4×D4 | 1 | 2 | yes | — |
| 135 | C22⋊D17 | — | 4 | 2 | no | — |
| 136 | C22⋊D17 | — | 4 | 2 | no | — |
| 137 | C22⋊D17 | — | 8 | 1 | no | — |
| 138 | C2×Dic17 | — | 2 | 1 | no | — |
| 139 | C2×Dic17 | — | 4 | 1 | no | — |
| 140 | C2×Dic17 | — | 4 | 1 | no | — |
| 141 | C2×Dic17 | — | 4 | 1 | no | — |
| 142 | C2×Dic17 | #120 | 1 | 1 | yes | characteristic |
| 143 | C2×Dic17 | #121 | 1 | 2 | yes | — |
| 144 | D68 | — | 4 | 1 | no | — |
| 145 | D68 | — | 8 | 1 | no | — |
| 146 | C4×D17 | — | 2 | 1 | no | — |
| 147 | C4×D17 | — | 2 | 1 | no | — |
| 148 | C4×D17 | — | 2 | 2 | no | — |
| 149 | C4×D17 | — | 2 | 2 | no | — |
| 150 | C4×D17 | — | 4 | 1 | no | — |
| 151 | C4×D17 | — | 4 | 1 | no | — |
| 152 | C4×D17 | — | 8 | 1 | no | — |
| 153 | C4×D17 | — | 8 | 1 | no | — |
| 154 | Dic34 | — | 4 | 1 | no | — |
| 155 | Dic34 | — | 4 | 1 | no | — |
| 156 | Dic34 | — | 4 | 1 | no | — |
| 157 | Dic34 | — | 8 | 1 | no | — |
| 158 | Dic34 | — | 8 | 1 | no | — |
| 159 | #3624 | — | 4 | 2 | no | — |
| 160 | #3624 | — | 4 | 2 | no | — |
| 161 | #3624 | — | 8 | 2 | no | — |
| 162 | C8×C17 | — | 2 | 2 | no | — |
| 163 | #3622 | — | 2 | 2 | no | — |
| 164 | #3152 | — | 17 | 1 | no | — |
| 165 | #2979 | — | 17 | 1 | no | — |
| 166 | #1560 | — | 17 | 1 | no | — |
| 167 | #1549 | — | 17 | 2 | no | — |
| 168 | #1299 | — | 17 | 2 | no | — |
| 169 | C22×C17 | — | 4 | 1 | no | — |
| 170 | C22×C17 | — | 4 | 2 | no | — |
| 171 | C22×C17 | #386 | 1 | 1 | yes | characteristic |
| 172 | C2×D17 | — | 2 | 1 | no | — |
| 173 | C2×D17 | — | 2 | 2 | no | — |
| 174 | C2×D17 | — | 4 | 1 | no | — |
| 175 | C2×D17 | — | 4 | 2 | no | — |
| 176 | C4×C17 | — | 2 | 1 | no | — |
| 177 | C4×C17 | — | 2 | 2 | no | — |
| 178 | C4×C17 | — | 4 | 1 | no | — |
| 179 | C4×C17 | — | 8 | 1 | no | — |
| 180 | Dic17 | — | 4 | 1 | no | — |
| 181 | Dic17 | — | 8 | 1 | no | — |
| 182 | Dic17 | #453 | 1 | 1 | yes | characteristic |
| 183 | Dic17 | #453 | 1 | 1 | yes | characteristic |
| 184 | Dic17 | #471 | 1 | 2 | yes | — |
| 185 | Dic17 | #473 | 1 | 2 | yes | — |
| 186 | C2×#137 | — | 34 | 1 | no | — |
| 187 | C2×#137 | — | 34 | 1 | no | — |
| 188 | #532 | — | 17 | 1 | no | — |
| 189 | C2×C4⋊Q8 | — | 17 | 1 | no | — |
| 190 | #497 | — | 17 | 1 | no | — |
| 191 | #497 | — | 17 | 1 | no | — |
| 192 | #497 | — | 17 | 1 | no | — |
| 193 | #497 | #595 | 1 | 1 | yes | characteristic |
| 194 | #494 | — | 34 | 1 | no | — |
| 195 | #492 | — | 34 | 1 | no | — |
| 196 | #436 | — | 34 | 2 | no | — |
| 197 | C8×D4 | — | 34 | 2 | no | — |
| 198 | #431 | — | 17 | 2 | no | — |
| 199 | #423 | — | 17 | 2 | no | — |
| 200 | #408 | — | 34 | 1 | no | — |
| 201 | #408 | — | 34 | 1 | no | — |
| 202 | C4×M16 | — | 17 | 1 | no | — |
| 203 | #333 | — | 34 | 1 | no | — |
| 204 | #332 | — | 34 | 2 | no | — |
| 205 | #332 | — | 34 | 2 | no | — |
| 206 | #331 | — | 34 | 1 | no | — |
| 207 | C2×C17 | — | 8 | 1 | no | — |
| 208 | C2×C17 | #1887 | 1 | 1 | yes | characteristic |
| 209 | C2×C17 | #1908 | 1 | 2 | yes | — |
| 210 | D17 | — | 4 | 1 | no | — |
| 211 | D17 | — | 8 | 1 | no | — |
| 212 | C2×#41 | — | 17 | 1 | no | — |
| 213 | C2×#41 | — | 17 | 1 | no | — |
| 214 | C22×Q8 | — | 34 | 1 | no | — |
| 215 | #137 | — | 68 | 2 | no | — |
| 216 | #137 | — | 68 | 2 | no | — |
| 217 | #137 | — | 68 | 2 | no | — |
| 218 | #137 | — | 68 | 2 | no | — |
| 219 | C2×Q16 | — | 2 | 1 | no | — |
| 220 | C2×Q16 | — | 34 | 1 | no | — |
| 221 | C2×Q16 | — | 34 | 1 | no | — |
| 222 | C2×Q16 | — | 34 | 1 | no | — |
| 223 | C2×SD16 | — | 2 | 1 | no | — |
| 224 | C2×SD16 | — | 34 | 1 | no | — |
| 225 | C2×SD16 | — | 34 | 1 | no | — |
| 226 | C2×SD16 | — | 34 | 1 | no | — |
| 227 | C2×M16 | — | 34 | 1 | no | — |
| 228 | C2×M16 | — | 34 | 1 | no | — |
| 229 | C2×M16 | — | 34 | 1 | no | — |
| 230 | C2×M16 | — | 34 | 2 | no | — |
| 231 | C22×C8 | — | 34 | 1 | no | — |
| 232 | C22×C8 | — | 34 | 1 | no | — |
| 233 | C4⋊Q8 | — | 17 | 1 | no | — |
| 234 | C4⋊Q8 | — | 17 | 1 | no | — |
| 235 | C4⋊Q8 | — | 34 | 2 | no | — |
| 236 | C4⋊Q8 | — | 34 | 1 | no | — |
| 237 | C4⋊Q8 | C2×#595 | 1 | 1 | yes | characteristic |
| 238 | #127 | — | 17 | 1 | no | — |
| 239 | #124 | — | 17 | 1 | no | — |
| 240 | #124 | C2×#595 | 1 | 1 | yes | characteristic |
| 241 | #121 | — | 34 | 2 | no | — |
| 242 | C4×D4 | — | 34 | 2 | no | — |
| 243 | C2×C4⋊C4 | — | 34 | 2 | no | — |
| 244 | C2×C42 | — | 17 | 1 | no | — |
| 245 | C4⋊C8 | — | 17 | 2 | no | — |
| 246 | C4⋊C8 | — | 17 | 2 | no | — |
| 247 | C4⋊C8 | — | 34 | 2 | no | — |
| 248 | C4⋊C8 | — | 34 | 2 | no | — |
| 249 | C22⋊C8 | — | 34 | 2 | no | — |
| 250 | C22⋊C8 | — | 34 | 2 | no | — |
| 251 | C22⋊C8 | — | 34 | 2 | no | — |
| 252 | #97 | — | 17 | 1 | no | — |
| 253 | #97 | C2×#595 | 1 | 1 | yes | characteristic |
| 254 | C4×C8 | — | 34 | 1 | no | — |
| 255 | C4×C8 | — | 34 | 2 | no | — |
| 256 | C17 | #9435 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 257 | #41 | — | 68 | 1 | no | — |
| 258 | #41 | — | 68 | 1 | no | — |
| 259 | #41 | — | 68 | 1 | no | — |
| 260 | #41 | — | 68 | 1 | no | — |
| 261 | C2×Q8 | — | 2 | 1 | no | — |
| 262 | C2×Q8 | — | 17 | 1 | no | — |
| 263 | C2×Q8 | — | 34 | 1 | no | — |
| 264 | C2×Q8 | — | 68 | 1 | no | — |
| 265 | C2×Q8 | — | 68 | 1 | no | — |
| 266 | C2×Q8 | — | 68 | 1 | no | — |
| 267 | C2×Q8 | — | 68 | 1 | no | — |
| 268 | C2×Q8 | — | 68 | 1 | no | — |
| 269 | C2×Q8 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 270 | C2×D4 | — | 17 | 1 | no | — |
| 271 | C2×D4 | — | 34 | 1 | no | — |
| 272 | C2×D4 | — | 34 | 2 | no | — |
| 273 | C2×D4 | — | 34 | 1 | no | — |
| 274 | C2×D4 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 275 | C22×C4 | — | 17 | 2 | no | — |
| 276 | C22×C4 | — | 17 | 1 | no | — |
| 277 | C22×C4 | — | 34 | 1 | no | — |
| 278 | C22×C4 | — | 34 | 1 | no | — |
| 279 | C22×C4 | — | 68 | 1 | no | — |
| 280 | Q16 | — | 4 | 2 | no | — |
| 281 | Q16 | — | 68 | 2 | no | — |
| 282 | Q16 | — | 68 | 2 | no | — |
| 283 | Q16 | — | 68 | 2 | no | — |
| 284 | SD16 | — | 4 | 2 | no | — |
| 285 | SD16 | — | 68 | 2 | no | — |
| 286 | SD16 | — | 68 | 2 | no | — |
| 287 | SD16 | — | 68 | 2 | no | — |
| 288 | M16 | — | 34 | 2 | no | — |
| 289 | M16 | — | 34 | 2 | no | — |
| 290 | M16 | — | 136 | 1 | no | — |
| 291 | M16 | — | 136 | 1 | no | — |
| 292 | M16 | — | 136 | 2 | no | — |
| 293 | C2×C8 | — | 2 | 1 | no | — |
| 294 | C2×C8 | — | 34 | 1 | no | — |
| 295 | C2×C8 | — | 34 | 2 | no | — |
| 296 | C2×C8 | — | 34 | 2 | no | — |
| 297 | C2×C8 | — | 68 | 2 | no | — |
| 298 | C2×C8 | — | 136 | 1 | no | — |
| 299 | C2×C8 | — | 136 | 1 | no | — |
| 300 | C4⋊C4 | — | 2 | 2 | no | — |
| 301 | C4⋊C4 | — | 34 | 2 | no | — |
| 302 | C4⋊C4 | — | 34 | 2 | no | — |
| 303 | C4⋊C4 | — | 68 | 2 | no | — |
| 304 | C22⋊C4 | — | 2 | 2 | no | — |
| 305 | C22⋊C4 | — | 34 | 2 | no | — |
| 306 | C42 | — | 17 | 2 | no | — |
| 307 | C42 | — | 17 | 1 | no | — |
| 308 | C42 | C22×#595 | 1 | 1 | yes | characteristic |
| 309 | C23 | — | 2 | 1 | no | — |
| 310 | C23 | — | 17 | 1 | no | — |
| 311 | C23 | — | 34 | 1 | no | — |
| 312 | Q8 | — | 4 | 1 | no | — |
| 313 | Q8 | — | 4 | 1 | no | — |
| 314 | Q8 | — | 4 | 1 | no | — |
| 315 | Q8 | — | 68 | 1 | no | — |
| 316 | Q8 | — | 68 | 1 | no | — |
| 317 | Q8 | — | 68 | 1 | no | — |
| 318 | Q8 | — | 136 | 1 | no | — |
| 319 | Q8 | — | 136 | 1 | no | — |
| 320 | D4 | — | 4 | 1 | no | — |
| 321 | D4 | — | 68 | 1 | no | — |
| 322 | D4 | — | 68 | 2 | no | — |
| 323 | D4 | — | 68 | 2 | no | — |
| 324 | D4 | — | 136 | 1 | no | — |
| 325 | D4 | — | 136 | 1 | no | — |
| 326 | C2×C4 | — | 2 | 1 | no | — |
| 327 | C2×C4 | — | 4 | 1 | no | — |
| 328 | C2×C4 | — | 17 | 2 | no | — |
| 329 | C2×C4 | — | 17 | 1 | no | — |
| 330 | C2×C4 | — | 34 | 1 | no | — |
| 331 | C2×C4 | — | 34 | 1 | no | — |
| 332 | C2×C4 | — | 34 | 2 | no | — |
| 333 | C2×C4 | — | 34 | 2 | no | — |
| 334 | C2×C4 | — | 34 | 1 | no | — |
| 335 | C2×C4 | — | 68 | 1 | no | — |
| 336 | C2×C4 | — | 68 | 1 | no | — |
| 337 | C2×C4 | — | 68 | 1 | no | — |
| 338 | C2×C4 | — | 68 | 1 | no | — |
| 339 | C2×C4 | — | 68 | 1 | no | — |
| 340 | C2×C4 | — | 136 | 1 | no | — |
| 341 | C2×C4 | — | 136 | 1 | no | — |
| 342 | C2×C4 | D4×#595 | 1 | 2 | yes | — |
| 343 | C2×C4 | C2×C22⋊#595 | 1 | 1 | yes | characteristic |
| 344 | C8 | — | 2 | 2 | no | — |
| 345 | C8 | — | 34 | 2 | no | — |
| 346 | C8 | — | 68 | 2 | no | — |
| 347 | C8 | — | 68 | 2 | no | — |
| 348 | C8 | — | 136 | 2 | no | — |
| 349 | C22 | — | 4 | 1 | no | — |
| 350 | C22 | — | 4 | 2 | no | — |
| 351 | C22 | — | 34 | 1 | no | — |
| 352 | C22 | — | 34 | 2 | no | — |
| 353 | C22 | — | 68 | 1 | no | — |
| 354 | C22 | — | 68 | 2 | no | — |
| 355 | C22 | #11763757 | 1 | 1 | yes | characteristic |
| 356 | C4 | — | 2 | 1 | no | — |
| 357 | C4 | — | 2 | 2 | no | — |
| 358 | C4 | — | 4 | 1 | no | — |
| 359 | C4 | — | 8 | 1 | no | — |
| 360 | C4 | — | 17 | 1 | no | — |
| 361 | C4 | — | 17 | 1 | no | — |
| 362 | C4 | — | 17 | 2 | no | — |
| 363 | C4 | — | 17 | 2 | no | — |
| 364 | C4 | — | 68 | 1 | no | — |
| 365 | C4 | — | 136 | 1 | no | — |
| 366 | C2 | — | 8 | 1 | no | — |
| 367 | C2 | — | 68 | 1 | no | — |
| 368 | C2 | — | 136 | 1 | no | — |
| 369 | C2 | #14544791 | 1 | 1 | yes | characteristic |
| 370 | C2 | #14544824 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14544300 | C2 | semidirect |
| 4. #14543669 | C2 | semidirect |
| 256. C17 | #9435 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545666 | 2 |
| #14544322 | 2 |
| #14544300 | 2 |
| #14543669 | 2 |
| #14539240 | 2 |
| #9435 | 17 |