Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 56 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 | #14545056 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14544322 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14543904 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #14543903 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #14538134 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #11763814 | — | 2 | 1 | no | — |
| 7 | #11763790 | — | 2 | 1 | no | — |
| 8 | #11763716 | — | 2 | 1 | no | — |
| 9 | #11763713 | C22 | 1 | 2 | yes | complemented |
| 10 | #11763669 | — | 2 | 1 | no | — |
| 11 | #11763667 | C22 | 1 | 2 | yes | complemented |
| 12 | #11763644 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #11763608 | — | 2 | 1 | no | — |
| 14 | #11763358 | C22 | 1 | 1 | yes | characteristic |
| 15 | #11762990 | — | 2 | 1 | no | — |
| 16 | #11762986 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11762983 | — | 2 | 1 | no | — |
| 18 | #11762979 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11762977 | C22 | 1 | 1 | yes | characteristic |
| 20 | #104×D17 | — | 2 | 1 | no | — |
| 21 | #11762790 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C17×#455 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | C17×H(5,𝔽2) | C2×C4 | 1 | 1 | yes | characteristic |
| 24 | #10587697 | — | 2 | 1 | no | — |
| 25 | #10587697 | — | 4 | 1 | no | — |
| 26 | #41×D17 | — | 2 | 1 | no | — |
| 27 | #41×D17 | — | 4 | 1 | no | — |
| 28 | C2×#63256 | D4 | 1 | 1 | yes | characteristic |
| 29 | #10587691 | — | 4 | 1 | no | — |
| 30 | #10587691 | — | 4 | 1 | no | — |
| 31 | #10587691 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C2×#63254 | — | 4 | 1 | no | — |
| 33 | C2×#63254 | — | 4 | 1 | no | — |
| 34 | C2×#63254 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | #10587677 | — | 4 | 1 | no | — |
| 36 | C2×#63243 | — | 4 | 1 | no | — |
| 37 | C17×#137 | — | 2 | 1 | no | — |
| 38 | C17×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | #10587635 | — | 2 | 1 | no | — |
| 40 | #10587630 | D4 | 1 | 1 | yes | characteristic |
| 41 | #10587628 | — | 2 | 1 | no | — |
| 42 | #10587626 | C23 | 1 | 1 | yes | characteristic |
| 43 | #10587605 | — | 4 | 1 | no | — |
| 44 | #10587604 | — | 4 | 1 | no | — |
| 45 | #10587602 | — | 4 | 1 | no | — |
| 46 | #10587600 | — | 4 | 1 | no | — |
| 47 | #10587594 | — | 2 | 1 | no | — |
| 48 | M16×D17 | — | 2 | 1 | no | — |
| 49 | #10587570 | — | 4 | 1 | no | — |
| 50 | #10587567 | — | 4 | 1 | no | — |
| 51 | #10587561 | D4 | 1 | 1 | yes | characteristic |
| 52 | C42×D17 | D4 | 1 | 1 | yes | characteristic |
| 53 | #10587544 | — | 2 | 2 | no | — |
| 54 | #10587544 | — | 4 | 1 | no | — |
| 55 | #10587539 | — | 2 | 2 | no | — |
| 56 | #10587539 | — | 4 | 1 | no | — |
| 57 | C17×#104 | — | 2 | 1 | no | — |
| 58 | C17×#100 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #10587508 | — | 2 | 1 | no | — |
| 60 | #10587504 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | #10587496 | — | 2 | 1 | no | — |
| 62 | #10587495 | — | 2 | 1 | no | — |
| 63 | #10587476 | — | 2 | 1 | no | — |
| 64 | #41×C17 | — | 2 | 1 | no | — |
| 65 | #41×C17 | — | 4 | 1 | no | — |
| 66 | C2×Q8×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 67 | C2×D4×C17 | — | 4 | 1 | no | — |
| 68 | C2×D4×C17 | — | 4 | 1 | no | — |
| 69 | C2×D4×C17 | C22×C4 | 1 | 1 | yes | characteristic |
| 70 | C2×C22⋊D17 | — | 2 | 1 | no | — |
| 71 | C2×C22⋊D17 | — | 4 | 1 | no | — |
| 72 | C2×C22⋊D17 | — | 4 | 2 | no | — |
| 73 | C2×C22⋊D17 | — | 4 | 1 | no | — |
| 74 | C2×C22⋊D17 | — | 4 | 1 | no | — |
| 75 | C22×Dic17 | — | 2 | 1 | no | — |
| 76 | C22×Dic17 | — | 4 | 1 | no | — |
| 77 | #63256 | — | 2 | 1 | no | — |
| 78 | #63256 | — | 4 | 1 | no | — |
| 79 | #63256 | — | 4 | 1 | no | — |
| 80 | Q8×D17 | — | 2 | 1 | no | — |
| 81 | Q8×D17 | — | 4 | 1 | no | — |
| 82 | #63254 | — | 2 | 1 | no | — |
| 83 | #63254 | — | 4 | 1 | no | — |
| 84 | #63254 | — | 4 | 1 | no | — |
| 85 | #63254 | — | 4 | 1 | no | — |
| 86 | #63254 | — | 4 | 2 | no | — |
| 87 | #63254 | — | 4 | 1 | no | — |
| 88 | #63254 | — | 4 | 2 | no | — |
| 89 | #63254 | — | 4 | 2 | no | — |
| 90 | #63254 | — | 4 | 2 | no | — |
| 91 | #63254 | — | 4 | 1 | no | — |
| 92 | D4×D17 | — | 2 | 1 | no | — |
| 93 | D4×D17 | — | 4 | 1 | no | — |
| 94 | D4×D17 | — | 4 | 2 | no | — |
| 95 | D4×D17 | — | 4 | 1 | no | — |
| 96 | #63252 | — | 2 | 1 | no | — |
| 97 | #63252 | — | 4 | 1 | no | — |
| 98 | #63252 | — | 4 | 1 | no | — |
| 99 | #63252 | — | 4 | 2 | no | — |
| 100 | C2×D68 | — | 2 | 1 | no | — |
| 101 | C2×D68 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | C2×C4×D17 | — | 2 | 1 | no | — |
| 103 | C2×C4×D17 | — | 2 | 1 | no | — |
| 104 | C2×C4×D17 | — | 4 | 1 | no | — |
| 105 | C2×C4×D17 | — | 4 | 1 | no | — |
| 106 | C2×C4×D17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 107 | C2×Dic34 | — | 4 | 1 | no | — |
| 108 | C2×Dic34 | — | 4 | 1 | no | — |
| 109 | C2×Dic34 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 110 | C22⋊#595 | — | 4 | 2 | no | — |
| 111 | C2×#3624 | — | 4 | 2 | no | — |
| 112 | C4⋊#595 | — | 8 | 1 | no | — |
| 113 | C4×#595 | — | 8 | 1 | no | — |
| 114 | #63243 | — | 8 | 2 | no | — |
| 115 | Q16×C17 | — | 4 | 1 | no | — |
| 116 | SD16×C17 | — | 4 | 1 | no | — |
| 117 | M16×C17 | — | 2 | 1 | no | — |
| 118 | C22⋊C4×C17 | — | 4 | 1 | no | — |
| 119 | C42×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 120 | #63231 | — | 4 | 1 | no | — |
| 121 | #63230 | — | 4 | 1 | no | — |
| 122 | #63230 | — | 4 | 1 | no | — |
| 123 | #63228 | — | 4 | 1 | no | — |
| 124 | #63227 | — | 4 | 1 | no | — |
| 125 | #63225 | — | 4 | 1 | no | — |
| 126 | C4×Dic17 | — | 2 | 1 | no | — |
| 127 | C4×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | #63223 | — | 2 | 1 | no | — |
| 129 | D136 | — | 4 | 1 | no | — |
| 130 | #63219 | — | 4 | 1 | no | — |
| 131 | #63218 | — | 4 | 1 | no | — |
| 132 | C8×D17 | — | 4 | 1 | no | — |
| 133 | #13562 | — | 17 | 1 | no | maximal, Sylow |
| 134 | C23×C17 | — | 2 | 1 | no | — |
| 135 | C23×C17 | — | 4 | 1 | no | — |
| 136 | C22×D17 | — | 2 | 1 | no | — |
| 137 | C22×D17 | — | 4 | 1 | no | — |
| 138 | C22×D17 | — | 4 | 1 | no | — |
| 139 | C22×D17 | #99 | 1 | 1 | yes | characteristic |
| 140 | C2×#595 | — | 8 | 2 | no | — |
| 141 | Q8×C17 | — | 2 | 1 | no | — |
| 142 | Q8×C17 | — | 4 | 1 | no | — |
| 143 | D4×C17 | — | 2 | 1 | no | — |
| 144 | D4×C17 | — | 4 | 1 | no | — |
| 145 | D4×C17 | — | 4 | 2 | no | — |
| 146 | D4×C17 | — | 4 | 1 | no | — |
| 147 | C2×C4×C17 | — | 2 | 1 | no | — |
| 148 | C2×C4×C17 | — | 2 | 1 | no | — |
| 149 | C2×C4×C17 | — | 4 | 1 | no | — |
| 150 | C2×C4×C17 | — | 4 | 1 | no | — |
| 151 | C2×C4×C17 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 152 | C22⋊D17 | — | 4 | 1 | no | — |
| 153 | C22⋊D17 | — | 4 | 2 | no | — |
| 154 | C22⋊D17 | — | 4 | 2 | no | — |
| 155 | C22⋊D17 | — | 4 | 2 | no | — |
| 156 | C22⋊D17 | — | 4 | 1 | no | — |
| 157 | C22⋊D17 | — | 4 | 1 | no | — |
| 158 | C22⋊D17 | — | 8 | 1 | no | — |
| 159 | C22⋊D17 | — | 8 | 1 | no | — |
| 160 | C2×Dic17 | — | 2 | 1 | no | — |
| 161 | C2×Dic17 | — | 2 | 1 | no | — |
| 162 | C2×Dic17 | — | 4 | 2 | no | — |
| 163 | C2×Dic17 | — | 4 | 1 | no | — |
| 164 | C2×Dic17 | — | 4 | 1 | no | — |
| 165 | C2×Dic17 | — | 4 | 1 | no | — |
| 166 | C2×Dic17 | — | 4 | 1 | no | — |
| 167 | C2×Dic17 | #99 | 1 | 1 | yes | characteristic |
| 168 | D68 | — | 2 | 1 | no | — |
| 169 | D68 | — | 4 | 1 | no | — |
| 170 | D68 | — | 4 | 1 | no | — |
| 171 | D68 | — | 8 | 1 | no | — |
| 172 | C4×D17 | — | 2 | 1 | no | — |
| 173 | C4×D17 | — | 2 | 1 | no | — |
| 174 | C4×D17 | — | 4 | 1 | no | — |
| 175 | C4×D17 | — | 4 | 1 | no | — |
| 176 | C4×D17 | — | 4 | 1 | no | — |
| 177 | C4×D17 | — | 4 | 1 | no | — |
| 178 | C4×D17 | — | 4 | 2 | no | — |
| 179 | C4×D17 | — | 4 | 1 | no | — |
| 180 | C4×D17 | — | 4 | 1 | no | — |
| 181 | C4×D17 | — | 4 | 1 | no | — |
| 182 | Dic34 | — | 2 | 1 | no | — |
| 183 | Dic34 | — | 4 | 2 | no | — |
| 184 | Dic34 | — | 4 | 1 | no | — |
| 185 | Dic34 | — | 4 | 1 | no | — |
| 186 | #3624 | — | 8 | 2 | no | — |
| 187 | C8×C17 | — | 4 | 1 | no | — |
| 188 | #3622 | — | 4 | 1 | no | — |
| 189 | #3018 | — | 17 | 1 | no | — |
| 190 | #2126 | — | 17 | 1 | no | — |
| 191 | #1560 | — | 17 | 1 | no | — |
| 192 | #1402 | — | 17 | 2 | no | — |
| 193 | #1402 | — | 17 | 2 | no | — |
| 194 | C22×C17 | — | 4 | 1 | no | — |
| 195 | C22×C17 | — | 4 | 1 | no | — |
| 196 | C22×C17 | — | 8 | 1 | no | — |
| 197 | C22×C17 | — | 16 | 1 | no | — |
| 198 | C22×C17 | C2×#99 | 1 | 1 | yes | characteristic |
| 199 | C2×D17 | — | 2 | 1 | no | — |
| 200 | C2×D17 | — | 4 | 1 | no | — |
| 201 | C2×D17 | — | 4 | 1 | no | — |
| 202 | C2×D17 | — | 4 | 1 | no | — |
| 203 | C2×D17 | — | 8 | 1 | no | — |
| 204 | C2×D17 | — | 16 | 1 | no | — |
| 205 | C2×D17 | — | 16 | 1 | no | — |
| 206 | #595 | — | 16 | 2 | no | — |
| 207 | C4×C17 | — | 2 | 1 | no | — |
| 208 | C4×C17 | — | 4 | 1 | no | — |
| 209 | C4×C17 | — | 4 | 1 | no | — |
| 210 | C4×C17 | — | 4 | 1 | no | — |
| 211 | Dic17 | — | 2 | 1 | no | — |
| 212 | Dic17 | — | 2 | 1 | no | — |
| 213 | Dic17 | — | 4 | 1 | no | — |
| 214 | Dic17 | — | 4 | 1 | no | — |
| 215 | Dic17 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 216 | Dic17 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 217 | #585 | — | 17 | 1 | no | — |
| 218 | #575 | — | 34 | 1 | no | — |
| 219 | #532 | — | 17 | 1 | no | — |
| 220 | #456 | — | 34 | 1 | no | — |
| 221 | #455 | — | 17 | 1 | no | — |
| 222 | #455 | #595 | 1 | 1 | yes | characteristic, complemented |
| 223 | #454 | — | 34 | 1 | no | — |
| 224 | #453 | — | 17 | 1 | no | — |
| 225 | #453 | — | 17 | 1 | no | — |
| 226 | #423 | — | 34 | 1 | no | — |
| 227 | C2×#104 | — | 34 | 1 | no | — |
| 228 | #413 | — | 17 | 1 | no | — |
| 229 | #410 | — | 34 | 1 | no | — |
| 230 | #354 | — | 34 | 1 | no | — |
| 231 | #353 | — | 17 | 2 | no | — |
| 232 | #333 | — | 34 | 1 | no | — |
| 233 | #331 | — | 17 | 2 | no | — |
| 234 | C2×C17 | — | 2 | 1 | no | — |
| 235 | C2×C17 | — | 8 | 1 | no | — |
| 236 | C2×C17 | — | 8 | 1 | no | — |
| 237 | C2×C17 | C2×AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 238 | D17 | — | 4 | 1 | no | — |
| 239 | D17 | — | 8 | 1 | no | — |
| 240 | D17 | — | 8 | 1 | no | — |
| 241 | 2−1+4 | — | 34 | 1 | no | — |
| 242 | 2−1+4 | — | 68 | 1 | no | — |
| 243 | H(5,𝔽2) | — | 17 | 1 | no | — |
| 244 | H(5,𝔽2) | — | 68 | 1 | no | — |
| 245 | H(5,𝔽2) | — | 68 | 1 | no | — |
| 246 | H(5,𝔽2) | C2×#595 | 1 | 1 | yes | characteristic |
| 247 | C2×#41 | — | 17 | 1 | no | — |
| 248 | C2×#41 | — | 17 | 1 | no | — |
| 249 | C2×#41 | — | 34 | 1 | no | — |
| 250 | C2×#41 | — | 68 | 1 | no | — |
| 251 | C2×#41 | — | 68 | 1 | no | — |
| 252 | C2×#41 | — | 68 | 1 | no | — |
| 253 | #137 | — | 2 | 1 | no | — |
| 254 | #137 | — | 34 | 1 | no | — |
| 255 | #137 | — | 68 | 1 | no | — |
| 256 | AGL(1,ℤ/8) | — | 34 | 1 | no | — |
| 257 | AGL(1,ℤ/8) | — | 34 | 1 | no | — |
| 258 | AGL(1,ℤ/8) | — | 68 | 1 | no | — |
| 259 | #135 | — | 68 | 1 | no | — |
| 260 | #135 | — | 68 | 1 | no | — |
| 261 | C2×M16 | — | 34 | 1 | no | — |
| 262 | C2×M16 | — | 68 | 1 | no | — |
| 263 | C4⋊Q8 | — | 17 | 1 | no | — |
| 264 | #127 | — | 17 | 1 | no | — |
| 265 | #124 | — | 17 | 1 | no | — |
| 266 | #124 | C2×#595 | 1 | 1 | yes | characteristic |
| 267 | #121 | — | 68 | 1 | no | — |
| 268 | C4×D4 | — | 68 | 1 | no | — |
| 269 | #117 | — | 68 | 1 | no | — |
| 270 | C2×C42 | — | 17 | 1 | no | — |
| 271 | C4⋊C8 | — | 34 | 2 | no | — |
| 272 | C4⋊C8 | — | 68 | 1 | no | — |
| 273 | #104 | — | 2 | 1 | no | — |
| 274 | #104 | — | 34 | 1 | no | — |
| 275 | #104 | — | 34 | 1 | no | — |
| 276 | #104 | — | 34 | 1 | no | — |
| 277 | #101 | — | 34 | 1 | no | — |
| 278 | #100 | — | 17 | 1 | no | — |
| 279 | #100 | C2×#595 | 1 | 1 | yes | characteristic |
| 280 | #99 | — | 34 | 2 | no | — |
| 281 | #99 | — | 68 | 1 | no | — |
| 282 | C17 | #13562 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 283 | #41 | — | 2 | 1 | no | — |
| 284 | #41 | — | 4 | 1 | no | — |
| 285 | #41 | — | 34 | 1 | no | — |
| 286 | #41 | — | 34 | 1 | no | — |
| 287 | #41 | — | 34 | 1 | no | — |
| 288 | #41 | — | 68 | 1 | no | — |
| 289 | #41 | — | 68 | 1 | no | — |
| 290 | #41 | — | 68 | 2 | no | — |
| 291 | #41 | — | 68 | 1 | no | — |
| 292 | #41 | — | 68 | 2 | no | — |
| 293 | #41 | — | 68 | 1 | no | — |
| 294 | #41 | — | 68 | 1 | no | — |
| 295 | #41 | — | 68 | 1 | no | — |
| 296 | #41 | — | 68 | 1 | no | — |
| 297 | #41 | — | 68 | 1 | no | — |
| 298 | #41 | — | 68 | 2 | no | — |
| 299 | #41 | — | 68 | 2 | no | — |
| 300 | #41 | — | 68 | 2 | no | — |
| 301 | #41 | — | 68 | 1 | no | — |
| 302 | C2×Q8 | — | 17 | 1 | no | — |
| 303 | C2×Q8 | — | 34 | 1 | no | — |
| 304 | C2×Q8 | — | 68 | 1 | no | — |
| 305 | C2×Q8 | — | 68 | 1 | no | — |
| 306 | C2×Q8 | — | 68 | 1 | no | — |
| 307 | C2×Q8 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 308 | C2×D4 | — | 4 | 1 | no | — |
| 309 | C2×D4 | — | 4 | 1 | no | — |
| 310 | C2×D4 | — | 17 | 1 | no | — |
| 311 | C2×D4 | — | 34 | 1 | no | — |
| 312 | C2×D4 | — | 34 | 1 | no | — |
| 313 | C2×D4 | — | 34 | 1 | no | — |
| 314 | C2×D4 | — | 68 | 1 | no | — |
| 315 | C2×D4 | — | 68 | 1 | no | — |
| 316 | C2×D4 | — | 68 | 1 | no | — |
| 317 | C2×D4 | — | 68 | 2 | no | — |
| 318 | C2×D4 | — | 68 | 2 | no | — |
| 319 | C2×D4 | — | 68 | 1 | no | — |
| 320 | C2×D4 | — | 68 | 1 | no | — |
| 321 | C2×D4 | C22×#595 | 1 | 1 | yes | characteristic |
| 322 | C22×C4 | — | 17 | 1 | no | — |
| 323 | C22×C4 | — | 34 | 1 | no | — |
| 324 | C22×C4 | — | 34 | 1 | no | — |
| 325 | C22×C4 | — | 34 | 1 | no | — |
| 326 | C22×C4 | — | 68 | 1 | no | — |
| 327 | C22×C4 | — | 68 | 1 | no | — |
| 328 | C22×C4 | — | 68 | 1 | no | — |
| 329 | Q16 | — | 4 | 1 | no | — |
| 330 | Q16 | — | 68 | 1 | no | — |
| 331 | SD16 | — | 4 | 1 | no | — |
| 332 | SD16 | — | 68 | 1 | no | — |
| 333 | SD16 | — | 68 | 1 | no | — |
| 334 | SD16 | — | 68 | 1 | no | — |
| 335 | D8 | — | 68 | 1 | no | — |
| 336 | D8 | — | 68 | 1 | no | — |
| 337 | M16 | — | 2 | 1 | no | — |
| 338 | M16 | — | 34 | 1 | no | — |
| 339 | M16 | — | 68 | 1 | no | — |
| 340 | M16 | — | 136 | 2 | no | — |
| 341 | C2×C8 | — | 68 | 1 | no | — |
| 342 | C2×C8 | — | 68 | 2 | no | — |
| 343 | C4⋊C4 | — | 68 | 1 | no | — |
| 344 | C4⋊C4 | — | 136 | 1 | no | — |
| 345 | C22⋊C4 | — | 4 | 1 | no | — |
| 346 | C22⋊C4 | — | 68 | 1 | no | — |
| 347 | C22⋊C4 | — | 68 | 2 | no | — |
| 348 | C42 | — | 17 | 1 | no | — |
| 349 | C42 | — | 34 | 1 | no | — |
| 350 | C42 | — | 136 | 1 | no | — |
| 351 | C42 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 352 | C23 | — | 2 | 1 | no | — |
| 353 | C23 | — | 4 | 1 | no | — |
| 354 | C23 | — | 17 | 1 | no | — |
| 355 | C23 | — | 34 | 1 | no | — |
| 356 | C23 | — | 68 | 1 | no | — |
| 357 | C23 | — | 68 | 1 | no | — |
| 358 | Q8 | — | 2 | 1 | no | — |
| 359 | Q8 | — | 4 | 1 | no | — |
| 360 | Q8 | — | 34 | 1 | no | — |
| 361 | Q8 | — | 68 | 1 | no | — |
| 362 | Q8 | — | 68 | 1 | no | — |
| 363 | Q8 | — | 68 | 2 | no | — |
| 364 | D4 | — | 2 | 1 | no | — |
| 365 | D4 | — | 4 | 1 | no | — |
| 366 | D4 | — | 4 | 2 | no | — |
| 367 | D4 | — | 4 | 1 | no | — |
| 368 | D4 | — | 34 | 1 | no | — |
| 369 | D4 | — | 68 | 1 | no | — |
| 370 | D4 | — | 68 | 1 | no | — |
| 371 | D4 | — | 68 | 1 | no | — |
| 372 | D4 | — | 68 | 2 | no | — |
| 373 | D4 | — | 68 | 1 | no | — |
| 374 | D4 | — | 68 | 2 | no | — |
| 375 | D4 | — | 68 | 2 | no | — |
| 376 | D4 | — | 68 | 1 | no | — |
| 377 | D4 | — | 136 | 1 | no | — |
| 378 | D4 | — | 136 | 1 | no | — |
| 379 | D4 | — | 136 | 1 | no | — |
| 380 | C2×C4 | — | 2 | 1 | no | — |
| 381 | C2×C4 | — | 2 | 1 | no | — |
| 382 | C2×C4 | — | 4 | 1 | no | — |
| 383 | C2×C4 | — | 4 | 1 | no | — |
| 384 | C2×C4 | — | 17 | 1 | no | — |
| 385 | C2×C4 | — | 34 | 1 | no | — |
| 386 | C2×C4 | — | 34 | 1 | no | — |
| 387 | C2×C4 | — | 34 | 1 | no | — |
| 388 | C2×C4 | — | 34 | 1 | no | — |
| 389 | C2×C4 | — | 68 | 1 | no | — |
| 390 | C2×C4 | — | 68 | 1 | no | — |
| 391 | C2×C4 | — | 68 | 1 | no | — |
| 392 | C2×C4 | — | 68 | 1 | no | — |
| 393 | C2×C4 | — | 68 | 1 | no | — |
| 394 | C2×C4 | — | 68 | 1 | no | — |
| 395 | C2×C4 | — | 68 | 1 | no | — |
| 396 | C2×C4 | — | 68 | 2 | no | — |
| 397 | C2×C4 | — | 68 | 1 | no | — |
| 398 | C2×C4 | — | 68 | 1 | no | — |
| 399 | C2×C4 | — | 68 | 1 | no | — |
| 400 | C2×C4 | — | 68 | 2 | no | — |
| 401 | C2×C4 | — | 68 | 1 | no | — |
| 402 | C2×C4 | — | 136 | 2 | no | — |
| 403 | C2×C4 | C2×C22⋊#595 | 1 | 1 | yes | characteristic |
| 404 | C8 | — | 4 | 1 | no | — |
| 405 | C8 | — | 68 | 1 | no | — |
| 406 | C8 | — | 136 | 2 | no | — |
| 407 | C22 | — | 4 | 1 | no | — |
| 408 | C22 | — | 4 | 1 | no | — |
| 409 | C22 | — | 8 | 1 | no | — |
| 410 | C22 | — | 16 | 1 | no | — |
| 411 | C22 | — | 272 | 1 | no | — |
| 412 | C22 | — | 272 | 1 | no | — |
| 413 | C22 | — | 34 | 1 | no | — |
| 414 | C22 | — | 68 | 1 | no | — |
| 415 | C22 | — | 68 | 1 | no | — |
| 416 | C22 | — | 68 | 1 | no | — |
| 417 | C22 | — | 136 | 1 | no | — |
| 418 | C22 | D17⋊#99 | 1 | 1 | yes | characteristic |
| 419 | C4 | — | 2 | 1 | no | — |
| 420 | C4 | — | 4 | 1 | no | — |
| 421 | C4 | — | 4 | 1 | no | — |
| 422 | C4 | — | 4 | 1 | no | — |
| 423 | C4 | — | 272 | 2 | no | — |
| 424 | C4 | — | 17 | 1 | no | — |
| 425 | C4 | — | 17 | 1 | no | — |
| 426 | C4 | — | 34 | 1 | no | — |
| 427 | C4 | — | 34 | 1 | no | — |
| 428 | C4 | — | 68 | 1 | no | — |
| 429 | C4 | — | 68 | 1 | no | — |
| 430 | C2 | — | 2 | 1 | no | — |
| 431 | C2 | — | 8 | 1 | no | — |
| 432 | C2 | — | 8 | 1 | no | — |
| 433 | C2 | — | 68 | 1 | no | — |
| 434 | C2 | — | 136 | 1 | no | — |
| 435 | C2 | — | 136 | 1 | no | — |
| 436 | C2 | D17⋊AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14545056 | C2 | semidirect |
| 2. #14544322 | C2 | semidirect |
| 3. #14543904 | C2 | semidirect |
| 4. #14543903 | C2 | semidirect |
| 9. #11763713 | C22 | semidirect |
| 11. #11763667 | C22 | semidirect |
| 12. #11763644 | C4 | semidirect |
| 16. #11762986 | C4 | semidirect |
| 21. #11762790 | C4 | semidirect |
| 22. C17×#455 | C4 | semidirect |
| 222. #455 | #595 | semidirect |
| 282. C17 | #13562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545056 | 2 |
| #14544322 | 2 |
| #14543904 | 2 |
| #14543903 | 2 |
| #14538134 | 2 |
| #13562 | 17 |