Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1030 conjugacy classes of subgroups; only the 226 normal subgroups are shown.
This group has 1030 conjugacy classes of subgroups — too many to draw. Only its 226 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 | #14545686 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14545224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14544188 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #14544175 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #14544165 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #14544157 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #14542870 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×Q8×#595 | — | 2 | 1 | no | — |
| 9 | #11763859 | — | 2 | 3 | no | — |
| 10 | Q8×#3624 | — | 2 | 1 | no | — |
| 11 | #11763831 | C22 | 1 | 3 | yes | — |
| 12 | #11763828 | C22 | 1 | 3 | yes | — |
| 13 | C4⋊C4×#595 | — | 2 | 3 | no | — |
| 14 | C4×C4⋊#595 | C22 | 1 | 3 | yes | — |
| 15 | #11763745 | C22 | 1 | 3 | yes | — |
| 16 | #11763663 | C22 | 1 | 1 | yes | characteristic |
| 17 | #11763663 | C22 | 1 | 3 | yes | — |
| 18 | #11763661 | C22 | 1 | 3 | yes | — |
| 19 | #11763661 | C22 | 1 | 3 | yes | — |
| 20 | #11763661 | C22 | 1 | 6 | yes | — |
| 21 | #11763544 | C4 | 1 | 3 | yes | complemented |
| 22 | #11763520 | C4 | 1 | 3 | yes | complemented |
| 23 | #11763481 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #11763471 | — | 2 | 1 | no | — |
| 25 | #11763462 | — | 2 | 3 | no | — |
| 26 | #11763433 | — | 2 | 3 | no | — |
| 27 | #11763360 | C22 | 1 | 3 | yes | — |
| 28 | #11763346 | C22 | 1 | 3 | yes | — |
| 29 | #11763291 | — | 2 | 1 | no | — |
| 30 | C4×Q8×D17 | C22 | 1 | 1 | yes | characteristic |
| 31 | Q82×C17 | C4 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#63256 | — | 2 | 1 | no | — |
| 33 | C2×#63256 | — | 2 | 3 | no | — |
| 34 | C2×Q8×D17 | D4 | 1 | 1 | yes | characteristic |
| 35 | Q8×#595 | — | 2 | 8 | no | — |
| 36 | C2×C4⋊#595 | — | 2 | 3 | no | — |
| 37 | C2×C4×#595 | — | 2 | 3 | no | — |
| 38 | C2×C4×#595 | — | 2 | 3 | no | — |
| 39 | C17×C4⋊Q8 | — | 2 | 3 | no | — |
| 40 | C17×C4⋊Q8 | C2×C4 | 1 | 3 | yes | — |
| 41 | C4×Q8×C17 | — | 2 | 1 | no | — |
| 42 | C4×Q8×C17 | C2×C4 | 1 | 3 | yes | — |
| 43 | C4×Q8×C17 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | #10587633 | — | 2 | 3 | no | — |
| 45 | #10587633 | C2×C4 | 1 | 3 | yes | — |
| 46 | #10587632 | — | 2 | 6 | no | — |
| 47 | #10587632 | C23 | 1 | 1 | yes | characteristic |
| 48 | Q8×Dic17 | D4 | 1 | 1 | yes | characteristic |
| 49 | #10587584 | — | 2 | 3 | no | — |
| 50 | #10587583 | — | 2 | 3 | no | — |
| 51 | #10587581 | — | 2 | 3 | no | — |
| 52 | #10587581 | — | 2 | 3 | no | — |
| 53 | #10587581 | C23 | 1 | 3 | yes | — |
| 54 | #10587580 | — | 2 | 6 | no | — |
| 55 | #10587580 | — | 2 | 3 | no | — |
| 56 | #10587579 | — | 2 | 3 | no | — |
| 57 | #10587579 | C2×C4 | 1 | 6 | yes | — |
| 58 | C4⋊C4×D17 | — | 2 | 3 | no | — |
| 59 | C4⋊C4×D17 | D4 | 1 | 3 | yes | — |
| 60 | #10587576 | C2×C4 | 1 | 3 | yes | — |
| 61 | #10587573 | D4 | 1 | 3 | yes | — |
| 62 | #10587561 | — | 2 | 3 | no | — |
| 63 | #10587560 | C2×C4 | 1 | 3 | yes | — |
| 64 | C4×D68 | — | 2 | 3 | no | — |
| 65 | C4×D68 | — | 2 | 3 | no | — |
| 66 | C4×D68 | C2×C4 | 1 | 3 | yes | — |
| 67 | #10587558 | — | 2 | 3 | no | — |
| 68 | C42×D17 | C23 | 1 | 3 | yes | — |
| 69 | C4×Dic34 | C2×C4 | 1 | 3 | yes | — |
| 70 | (C2×#595)⋊C4 | — | 2 | 3 | no | — |
| 71 | (C2×#595)⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 72 | (C2×#595)⋊C4 | C23 | 1 | 3 | yes | — |
| 73 | #10587543 | C23 | 1 | 1 | yes | characteristic |
| 74 | #10587543 | C23 | 1 | 3 | yes | — |
| 75 | #10587542 | — | 2 | 3 | no | — |
| 76 | C4⋊#3624 | — | 2 | 3 | no | — |
| 77 | C4⋊#3624 | — | 2 | 3 | no | — |
| 78 | C4×#3624 | — | 2 | 3 | no | — |
| 79 | C22×#595 | — | 2 | 3 | no | — |
| 80 | C22×#595 | — | 2 | 1 | no | — |
| 81 | C2×Q8×C17 | — | 2 | 3 | no | — |
| 82 | C2×Q8×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 83 | C2×Q8×C17 | C22×C4 | 1 | 1 | yes | characteristic |
| 84 | #63256 | — | 4 | 4 | no | — |
| 85 | #63256 | — | 8 | 3 | no | — |
| 86 | #63256 | — | 8 | 3 | no | — |
| 87 | Q8×D17 | — | 2 | 4 | no | — |
| 88 | C2×D68 | — | 2 | 3 | no | — |
| 89 | C2×D68 | — | 2 | 3 | no | — |
| 90 | C2×D68 | — | 2 | 3 | no | — |
| 91 | C2×D68 | C22×C4 | 1 | 3 | yes | — |
| 92 | C2×C4×D17 | — | 2 | 3 | no | — |
| 93 | C2×C4×D17 | — | 2 | 6 | no | — |
| 94 | C2×C4×D17 | C2×D4 | 1 | 3 | yes | — |
| 95 | C2×C4×D17 | C2×D4 | 1 | 3 | yes | — |
| 96 | C2×C4×D17 | C24 | 1 | 1 | yes | characteristic |
| 97 | C2×Dic34 | C22⋊C4 | 1 | 3 | yes | — |
| 98 | C2×#3624 | — | 2 | 1 | no | — |
| 99 | C2×#3624 | — | 2 | 3 | no | — |
| 100 | C4⋊#595 | — | 2 | 12 | no | — |
| 101 | C4×#595 | — | 2 | 12 | no | — |
| 102 | C4×#595 | — | 8 | 3 | no | — |
| 103 | C4⋊C4×C17 | — | 2 | 3 | no | — |
| 104 | C4⋊C4×C17 | — | 2 | 3 | no | — |
| 105 | C4⋊C4×C17 | C22⋊C4 | 1 | 3 | yes | — |
| 106 | C4⋊C4×C17 | C22×C4 | 1 | 3 | yes | — |
| 107 | C42×C17 | — | 2 | 3 | no | — |
| 108 | C42×C17 | C22×C4 | 1 | 3 | yes | — |
| 109 | #63227 | — | 2 | 1 | no | — |
| 110 | #63227 | — | 2 | 3 | no | — |
| 111 | #63227 | — | 2 | 3 | no | — |
| 112 | #63227 | — | 2 | 3 | no | — |
| 113 | #63227 | — | 2 | 6 | no | — |
| 114 | #63227 | — | 2 | 3 | no | — |
| 115 | C4⋊Dic17 | — | 2 | 3 | no | — |
| 116 | C4⋊Dic17 | C22⋊C4 | 1 | 3 | yes | — |
| 117 | C4⋊Dic17 | C22×C4 | 1 | 1 | yes | characteristic |
| 118 | #63225 | — | 2 | 3 | no | — |
| 119 | #63225 | — | 2 | 1 | no | — |
| 120 | #63225 | C22⋊C4 | 1 | 6 | yes | — |
| 121 | C4×Dic17 | C22×C4 | 1 | 3 | yes | — |
| 122 | C4×Dic17 | C2×D4 | 1 | 3 | yes | — |
| 123 | C4×Dic17 | C2×D4 | 1 | 3 | yes | — |
| 124 | #17550 | — | 17 | 1 | no | maximal, Sylow |
| 125 | C22×D17 | — | 2 | 3 | no | — |
| 126 | C22×D17 | C22×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×#595 | — | 2 | 2 | no | — |
| 128 | C2×#595 | — | 2 | 6 | no | — |
| 129 | C2×#595 | — | 4 | 3 | no | — |
| 130 | C2×#595 | — | 4 | 1 | no | — |
| 131 | C2×#595 | — | 4 | 3 | no | — |
| 132 | C2×#595 | — | 4 | 1 | no | — |
| 133 | Q8×C17 | — | 4 | 1 | no | — |
| 134 | Q8×C17 | — | 8 | 3 | no | — |
| 135 | Q8×C17 | #104 | 1 | 4 | yes | — |
| 136 | C2×C4×C17 | — | 2 | 1 | no | — |
| 137 | C2×C4×C17 | — | 2 | 3 | no | — |
| 138 | C2×C4×C17 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 139 | C2×C4×C17 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 140 | C2×C4×C17 | C23×C4 | 1 | 1 | yes | characteristic |
| 141 | C2×Dic17 | — | 2 | 1 | no | — |
| 142 | C2×Dic17 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 143 | C2×Dic17 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 144 | C2×Dic17 | C22×D4 | 1 | 1 | yes | characteristic |
| 145 | D68 | — | 4 | 3 | no | — |
| 146 | D68 | — | 4 | 3 | no | — |
| 147 | D68 | — | 4 | 3 | no | — |
| 148 | D68 | — | 4 | 6 | no | — |
| 149 | D68 | — | 8 | 3 | no | — |
| 150 | C4×D17 | — | 2 | 3 | no | — |
| 151 | C4×D17 | — | 2 | 3 | no | — |
| 152 | C4×D17 | — | 2 | 6 | no | — |
| 153 | C4×D17 | — | 4 | 1 | no | — |
| 154 | C4×D17 | — | 4 | 6 | no | — |
| 155 | C4×D17 | — | 8 | 6 | no | — |
| 156 | Dic34 | — | 2 | 6 | no | — |
| 157 | #3624 | — | 4 | 1 | no | — |
| 158 | #3624 | — | 4 | 3 | no | — |
| 159 | #3522 | — | 17 | 1 | no | — |
| 160 | #2984 | — | 17 | 1 | no | — |
| 161 | #2276 | — | 17 | 1 | no | — |
| 162 | #1509 | — | 17 | 3 | no | — |
| 163 | #1505 | — | 17 | 3 | no | — |
| 164 | #1502 | — | 17 | 3 | no | — |
| 165 | #1500 | — | 17 | 3 | no | — |
| 166 | C22×C17 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 167 | C2×D17 | — | 2 | 1 | no | — |
| 168 | C2×D17 | — | 2 | 1 | no | — |
| 169 | C2×D17 | — | 4 | 3 | no | — |
| 170 | C2×D17 | — | 4 | 3 | no | — |
| 171 | C2×D17 | — | 4 | 3 | no | — |
| 172 | C2×D17 | #576 | 1 | 1 | yes | characteristic |
| 173 | C2×D17 | #577 | 1 | 1 | yes | characteristic |
| 174 | #595 | — | 4 | 6 | no | — |
| 175 | #595 | — | 4 | 2 | no | — |
| 176 | C4×C17 | — | 2 | 1 | no | — |
| 177 | C4×C17 | — | 2 | 3 | no | — |
| 178 | C4×C17 | — | 4 | 1 | no | — |
| 179 | C4×C17 | — | 4 | 3 | no | — |
| 180 | C4×C17 | C2×#104 | 1 | 6 | yes | — |
| 181 | Dic17 | — | 2 | 1 | no | — |
| 182 | Dic17 | — | 2 | 3 | no | — |
| 183 | Dic17 | — | 2 | 3 | no | — |
| 184 | Dic17 | — | 4 | 1 | no | — |
| 185 | #559 | — | 17 | 3 | no | — |
| 186 | Q82 | #595 | 1 | 1 | yes | characteristic, complemented |
| 187 | #554 | — | 17 | 3 | no | — |
| 188 | #550 | — | 17 | 1 | no | — |
| 189 | #548 | — | 34 | 1 | no | — |
| 190 | #547 | — | 34 | 3 | no | — |
| 191 | #542 | — | 34 | 3 | no | — |
| 192 | #532 | — | 17 | 3 | no | — |
| 193 | #529 | — | 17 | 3 | no | — |
| 194 | #520 | — | 34 | 1 | no | — |
| 195 | C2×C4×Q8 | — | 17 | 1 | no | — |
| 196 | C2×C4×Q8 | — | 34 | 1 | no | — |
| 197 | #446 | — | 34 | 3 | no | — |
| 198 | C8×Q8 | — | 34 | 1 | no | — |
| 199 | #432 | — | 17 | 3 | no | — |
| 200 | #431 | — | 17 | 3 | no | — |
| 201 | C4×C4⋊C4 | — | 17 | 3 | no | — |
| 202 | C4×C4⋊C4 | — | 34 | 3 | no | — |
| 203 | #376 | — | 17 | 3 | no | — |
| 204 | #328 | — | 17 | 1 | no | — |
| 205 | #328 | — | 17 | 3 | no | — |
| 206 | #327 | — | 17 | 3 | no | — |
| 207 | #327 | — | 17 | 3 | no | — |
| 208 | #327 | — | 17 | 6 | no | — |
| 209 | C2×C17 | #2884 | 1 | 1 | yes | characteristic |
| 210 | C2×C17 | #2897 | 1 | 1 | yes | characteristic |
| 211 | C2×C17 | C22×#104 | 1 | 1 | yes | characteristic |
| 212 | D17 | — | 2 | 1 | no | — |
| 213 | D17 | — | 2 | 1 | no | — |
| 214 | D17 | — | 8 | 3 | no | — |
| 215 | C2×#41 | — | 34 | 3 | no | — |
| 216 | C2×#41 | — | 34 | 1 | no | — |
| 217 | C22×Q8 | — | 17 | 1 | no | — |
| 218 | C4⋊Q8 | — | 2 | 3 | no | — |
| 219 | C4⋊Q8 | C2×#595 | 1 | 3 | yes | — |
| 220 | #127 | — | 17 | 3 | no | — |
| 221 | #126 | — | 34 | 3 | no | — |
| 222 | #125 | — | 17 | 3 | no | — |
| 223 | #124 | — | 17 | 3 | no | — |
| 224 | #124 | — | 34 | 3 | no | — |
| 225 | #124 | — | 34 | 3 | no | — |
| 226 | #123 | — | 34 | 6 | no | — |
| 227 | #123 | — | 34 | 3 | no | — |
| 228 | C22⋊Q8 | — | 17 | 1 | no | — |
| 229 | C22⋊Q8 | — | 34 | 3 | no | — |
| 230 | C22⋊Q8 | — | 34 | 6 | no | — |
| 231 | #121 | — | 17 | 3 | no | — |
| 232 | #121 | — | 34 | 3 | no | — |
| 233 | #121 | — | 34 | 3 | no | — |
| 234 | C4×Q8 | — | 2 | 1 | no | — |
| 235 | C4×Q8 | — | 17 | 1 | no | — |
| 236 | C4×Q8 | — | 17 | 3 | no | — |
| 237 | C4×Q8 | — | 17 | 3 | no | — |
| 238 | C4×Q8 | — | 34 | 8 | no | — |
| 239 | C4×Q8 | C2×#595 | 1 | 3 | yes | — |
| 240 | C4×Q8 | C2×#595 | 1 | 1 | yes | characteristic |
| 241 | C4×D4 | — | 17 | 6 | no | — |
| 242 | C4×D4 | — | 17 | 3 | no | — |
| 243 | C4×D4 | — | 34 | 3 | no | — |
| 244 | C4×D4 | — | 34 | 3 | no | — |
| 245 | C4×D4 | — | 34 | 3 | no | — |
| 246 | #117 | — | 34 | 3 | no | — |
| 247 | C2×C4⋊C4 | — | 17 | 3 | no | — |
| 248 | C2×C4⋊C4 | — | 34 | 3 | no | — |
| 249 | C2×C4⋊C4 | — | 34 | 3 | no | — |
| 250 | C2×C42 | — | 17 | 3 | no | — |
| 251 | C2×C42 | — | 34 | 3 | no | — |
| 252 | C2×C42 | — | 34 | 3 | no | — |
| 253 | C4⋊C8 | — | 34 | 3 | no | — |
| 254 | C4⋊C8 | — | 34 | 3 | no | — |
| 255 | C22⋊C8 | — | 17 | 1 | no | — |
| 256 | C22⋊C8 | — | 17 | 3 | no | — |
| 257 | #97 | — | 34 | 3 | no | — |
| 258 | C4×C8 | — | 34 | 3 | no | — |
| 259 | #95 | — | 17 | 1 | no | — |
| 260 | #95 | — | 17 | 3 | no | — |
| 261 | #95 | — | 34 | 3 | no | — |
| 262 | C17 | #17550 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 263 | #41 | — | 68 | 4 | no | — |
| 264 | #41 | — | 136 | 3 | no | — |
| 265 | #41 | — | 136 | 3 | no | — |
| 266 | C2×Q8 | — | 2 | 3 | no | — |
| 267 | C2×Q8 | — | 17 | 3 | no | — |
| 268 | C2×Q8 | — | 34 | 4 | no | — |
| 269 | C2×Q8 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 270 | C2×Q8 | C22×#595 | 1 | 1 | yes | characteristic |
| 271 | C2×D4 | — | 17 | 3 | no | — |
| 272 | C2×D4 | — | 34 | 3 | no | — |
| 273 | C2×D4 | — | 34 | 3 | no | — |
| 274 | C2×D4 | — | 34 | 3 | no | — |
| 275 | C22×C4 | — | 17 | 3 | no | — |
| 276 | C22×C4 | — | 17 | 3 | no | — |
| 277 | C22×C4 | — | 17 | 1 | no | — |
| 278 | C22×C4 | — | 34 | 6 | no | — |
| 279 | C22×C4 | — | 34 | 1 | no | — |
| 280 | C22×C4 | — | 34 | 3 | no | — |
| 281 | C22×C4 | — | 34 | 3 | no | — |
| 282 | C2×C8 | — | 34 | 1 | no | — |
| 283 | C2×C8 | — | 34 | 3 | no | — |
| 284 | C4⋊C4 | — | 2 | 3 | no | — |
| 285 | C4⋊C4 | — | 2 | 3 | no | — |
| 286 | C4⋊C4 | — | 17 | 3 | no | — |
| 287 | C4⋊C4 | — | 17 | 6 | no | — |
| 288 | C4⋊C4 | — | 17 | 1 | no | — |
| 289 | C4⋊C4 | — | 34 | 3 | no | — |
| 290 | C4⋊C4 | — | 34 | 1 | no | — |
| 291 | C4⋊C4 | — | 34 | 3 | no | — |
| 292 | C4⋊C4 | — | 34 | 12 | no | — |
| 293 | C4⋊C4 | C22⋊#595 | 1 | 3 | yes | — |
| 294 | C4⋊C4 | C22×#595 | 1 | 3 | yes | — |
| 295 | C22⋊C4 | — | 34 | 3 | no | — |
| 296 | C22⋊C4 | — | 34 | 3 | no | — |
| 297 | C22⋊C4 | — | 34 | 6 | no | — |
| 298 | C22⋊C4 | — | 34 | 3 | no | — |
| 299 | C22⋊C4 | — | 34 | 1 | no | — |
| 300 | C22⋊C4 | — | 34 | 3 | no | — |
| 301 | C42 | — | 2 | 3 | no | — |
| 302 | C42 | — | 17 | 3 | no | — |
| 303 | C42 | — | 17 | 3 | no | — |
| 304 | C42 | — | 17 | 3 | no | — |
| 305 | C42 | — | 34 | 12 | no | — |
| 306 | C42 | — | 136 | 3 | no | — |
| 307 | C42 | C22×#595 | 1 | 3 | yes | — |
| 308 | C23 | — | 17 | 1 | no | — |
| 309 | C23 | — | 34 | 3 | no | — |
| 310 | Q8 | — | 4 | 1 | no | — |
| 311 | Q8 | — | 8 | 3 | no | — |
| 312 | Q8 | — | 34 | 6 | no | — |
| 313 | Q8 | #10587550 | 1 | 4 | yes | — |
| 314 | D4 | — | 68 | 3 | no | — |
| 315 | D4 | — | 68 | 3 | no | — |
| 316 | D4 | — | 68 | 3 | no | — |
| 317 | D4 | — | 68 | 6 | no | — |
| 318 | D4 | — | 136 | 3 | no | — |
| 319 | C2×C4 | — | 2 | 1 | no | — |
| 320 | C2×C4 | — | 2 | 3 | no | — |
| 321 | C2×C4 | — | 17 | 1 | no | — |
| 322 | C2×C4 | — | 17 | 3 | no | — |
| 323 | C2×C4 | — | 17 | 3 | no | — |
| 324 | C2×C4 | — | 34 | 3 | no | — |
| 325 | C2×C4 | — | 34 | 3 | no | — |
| 326 | C2×C4 | — | 34 | 6 | no | — |
| 327 | C2×C4 | — | 34 | 2 | no | — |
| 328 | C2×C4 | — | 34 | 6 | no | — |
| 329 | C2×C4 | — | 34 | 1 | no | — |
| 330 | C2×C4 | — | 68 | 1 | no | — |
| 331 | C2×C4 | — | 68 | 3 | no | — |
| 332 | C2×C4 | — | 68 | 1 | no | — |
| 333 | C2×C4 | — | 68 | 1 | no | — |
| 334 | C2×C4 | — | 68 | 3 | no | — |
| 335 | C2×C4 | — | 68 | 6 | no | — |
| 336 | C2×C4 | — | 136 | 6 | no | — |
| 337 | C2×C4 | C2×C22⋊#595 | 1 | 3 | yes | — |
| 338 | C2×C4 | C2×C22⋊#595 | 1 | 3 | yes | — |
| 339 | C2×C4 | C23×#595 | 1 | 1 | yes | characteristic |
| 340 | C8 | — | 68 | 1 | no | — |
| 341 | C8 | — | 68 | 3 | no | — |
| 342 | C22 | — | 17 | 1 | no | — |
| 343 | C22 | — | 17 | 1 | no | — |
| 344 | C22 | — | 34 | 1 | no | — |
| 345 | C22 | — | 34 | 1 | no | — |
| 346 | C22 | — | 68 | 3 | no | — |
| 347 | C22 | — | 68 | 3 | no | — |
| 348 | C22 | — | 68 | 3 | no | — |
| 349 | C22 | C22×C22⋊#595 | 1 | 1 | yes | characteristic |
| 350 | C4 | — | 2 | 1 | no | — |
| 351 | C4 | — | 2 | 3 | no | — |
| 352 | C4 | — | 4 | 1 | no | — |
| 353 | C4 | — | 4 | 3 | no | — |
| 354 | C4 | — | 34 | 3 | no | — |
| 355 | C4 | — | 34 | 1 | no | — |
| 356 | C4 | — | 34 | 3 | no | — |
| 357 | C4 | — | 68 | 6 | no | — |
| 358 | C4 | — | 68 | 2 | no | — |
| 359 | C4 | — | 68 | 1 | no | — |
| 360 | C4 | C2×#10587550 | 1 | 6 | yes | — |
| 361 | C2 | — | 34 | 1 | no | — |
| 362 | C2 | — | 34 | 1 | no | — |
| 363 | C2 | — | 136 | 3 | no | — |
| 364 | C2 | #14545385 | 1 | 1 | yes | characteristic |
| 365 | C2 | #14545405 | 1 | 1 | yes | characteristic |
| 366 | C2 | C22×#10587550 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14545686 | C2 | semidirect |
| 2. #14545224 | C2 | semidirect |
| 3. #14544188 | C2 | semidirect |
| 4. #14544175 | C2 | semidirect |
| 5. #14544165 | C2 | semidirect |
| 6. #14544157 | C2 | semidirect |
| 21. #11763544 | C4 | semidirect |
| 22. #11763520 | C4 | semidirect |
| 23. #11763481 | C4 | semidirect |
| 31. Q82×C17 | C4 | semidirect |
| 186. Q82 | #595 | semidirect |
| 262. C17 | #17550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545686 | 2 |
| #14545224 | 2 |
| #14544188 | 2 |
| #14544175 | 2 |
| #14544165 | 2 |
| #14544157 | 2 |
| #14542870 | 2 |
| #17550 | 17 |