Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
476 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 82 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 | #14545563 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14545111 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#11763727 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #14544945 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #14543862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #14543836 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D17×#509 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #11763888 | — | 2 | 1 | no | — |
| 9 | C2×#10587530 | C22 | 1 | 1 | yes | characteristic |
| 10 | #11763856 | — | 2 | 1 | no | — |
| 11 | #11763855 | — | 2 | 1 | no | — |
| 12 | #11763852 | — | 2 | 2 | no | — |
| 13 | D17⋊#108 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#10587535 | C22 | 1 | 1 | yes | characteristic |
| 15 | #11763806 | — | 2 | 1 | no | — |
| 16 | #11763801 | — | 2 | 1 | no | — |
| 17 | D17⋊#100 | — | 2 | 1 | no | — |
| 18 | #11763772 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11763728 | — | 2 | 1 | no | — |
| 20 | #11763727 | — | 2 | 1 | no | — |
| 21 | #11763727 | — | 2 | 2 | no | — |
| 22 | #135×D17 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×D8×D17 | C22 | 1 | 1 | yes | characteristic |
| 24 | #11763247 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | #11763246 | — | 2 | 1 | no | — |
| 26 | #11763245 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #11763244 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #11763243 | — | 2 | 1 | no | — |
| 29 | SD32×D17 | — | 2 | 1 | no | — |
| 30 | D16×D17 | — | 2 | 1 | no | — |
| 31 | M32×D17 | C22 | 1 | 1 | yes | characteristic |
| 32 | C17×#509 | C4 | 1 | 1 | yes | characteristic, complemented |
| 33 | #41×D17 | — | 2 | 1 | no | — |
| 34 | C2×D4×D17 | — | 2 | 1 | no | — |
| 35 | #10587680 | — | 2 | 2 | no | — |
| 36 | #10587678 | — | 2 | 2 | no | — |
| 37 | #10587678 | — | 4 | 2 | no | — |
| 38 | #10587677 | D4 | 1 | 1 | yes | characteristic |
| 39 | D17⋊M16 | — | 2 | 1 | no | — |
| 40 | D17⋊M16 | — | 4 | 1 | no | — |
| 41 | D17⋊M16 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×#63243 | — | 2 | 1 | no | — |
| 43 | C2×#63243 | — | 4 | 1 | no | — |
| 44 | C17×#135 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×D8×C17 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | #10587636 | — | 2 | 1 | no | — |
| 47 | C2×#63228 | — | 2 | 1 | no | — |
| 48 | #10587605 | D4 | 1 | 1 | yes | characteristic |
| 49 | Q16×D17 | D4 | 1 | 1 | yes | characteristic |
| 50 | #10587602 | — | 2 | 1 | no | — |
| 51 | SD16×D17 | — | 2 | 1 | no | — |
| 52 | #10587598 | D4 | 1 | 1 | yes | characteristic |
| 53 | D8×D17 | — | 2 | 1 | no | — |
| 54 | D8×D17 | — | 2 | 1 | no | — |
| 55 | D8×D17 | — | 2 | 1 | no | — |
| 56 | D8×D17 | — | 2 | 1 | no | — |
| 57 | D8×D17 | D4 | 1 | 1 | yes | characteristic |
| 58 | #10587590 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | C2×D136 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | C2×C8×D17 | C23 | 1 | 1 | yes | characteristic |
| 61 | #10587553 | — | 4 | 2 | no | — |
| 62 | #10587550 | — | 2 | 2 | no | — |
| 63 | #10587548 | — | 2 | 2 | no | — |
| 64 | #10587547 | — | 4 | 2 | no | — |
| 65 | C2×#63216 | — | 2 | 1 | no | — |
| 66 | #10587536 | — | 2 | 1 | no | — |
| 67 | #10587535 | — | 2 | 1 | no | — |
| 68 | #10587535 | — | 2 | 1 | no | — |
| 69 | #10587535 | D4 | 1 | 2 | yes | — |
| 70 | #10587532 | — | 2 | 1 | no | — |
| 71 | C8×#595 | — | 2 | 1 | no | — |
| 72 | #10587530 | — | 2 | 1 | no | — |
| 73 | #10587530 | — | 2 | 1 | no | — |
| 74 | C17×SD32 | — | 2 | 1 | no | — |
| 75 | C17×D16 | — | 2 | 1 | no | — |
| 76 | C17×M32 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | #10587499 | — | 2 | 1 | no | — |
| 78 | #10587498 | — | 2 | 1 | no | — |
| 79 | #10587497 | — | 2 | 1 | no | — |
| 80 | #10587497 | — | 2 | 1 | no | — |
| 81 | #10587483 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | #10587471 | — | 2 | 1 | no | — |
| 83 | D272 | — | 2 | 1 | no | — |
| 84 | #10587469 | — | 2 | 1 | no | — |
| 85 | C16×D17 | — | 2 | 1 | no | — |
| 86 | C23×D17 | — | 4 | 1 | no | — |
| 87 | #41×C17 | — | 2 | 1 | no | — |
| 88 | C2×D4×C17 | — | 2 | 1 | no | — |
| 89 | C2×C22⋊D17 | — | 4 | 1 | no | — |
| 90 | #63256 | — | 2 | 1 | no | — |
| 91 | Q8×D17 | — | 2 | 1 | no | — |
| 92 | #63254 | — | 2 | 1 | no | — |
| 93 | #63254 | — | 4 | 1 | no | — |
| 94 | D4×D17 | — | 2 | 1 | no | — |
| 95 | D4×D17 | — | 4 | 1 | no | — |
| 96 | D4×D17 | — | 4 | 1 | no | — |
| 97 | D4×D17 | — | 4 | 1 | no | — |
| 98 | D4×D17 | — | 4 | 1 | no | — |
| 99 | D4×D17 | — | 4 | 1 | no | — |
| 100 | #63252 | — | 2 | 1 | no | — |
| 101 | #63252 | — | 4 | 1 | no | — |
| 102 | C2×D68 | — | 2 | 1 | no | — |
| 103 | C2×C4×D17 | — | 4 | 1 | no | — |
| 104 | C2×C4×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C22⋊#595 | — | 2 | 1 | no | — |
| 106 | #63247 | — | 4 | 2 | no | — |
| 107 | #63247 | — | 4 | 1 | no | — |
| 108 | #63247 | D8 | 1 | 2 | yes | — |
| 109 | C2×#3624 | — | 4 | 2 | no | — |
| 110 | C2×#3624 | — | 4 | 1 | no | — |
| 111 | C4⋊#595 | — | 2 | 1 | no | — |
| 112 | C4×#595 | — | 2 | 1 | no | — |
| 113 | #63243 | — | 2 | 1 | no | — |
| 114 | #63243 | — | 2 | 2 | no | — |
| 115 | #63243 | — | 4 | 2 | no | — |
| 116 | #63243 | — | 4 | 1 | no | — |
| 117 | #63243 | — | 4 | 1 | no | — |
| 118 | #63242 | — | 2 | 1 | no | — |
| 119 | #63242 | — | 4 | 2 | no | — |
| 120 | #63242 | — | 4 | 1 | no | — |
| 121 | Q16×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 122 | SD16×C17 | — | 2 | 1 | no | — |
| 123 | D8×C17 | — | 2 | 1 | no | — |
| 124 | D8×C17 | — | 2 | 1 | no | — |
| 125 | D8×C17 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 126 | C2×C8×C17 | C22×C4 | 1 | 1 | yes | characteristic |
| 127 | #63231 | — | 2 | 1 | no | — |
| 128 | #63230 | — | 2 | 1 | no | — |
| 129 | #63229 | — | 2 | 1 | no | — |
| 130 | #63228 | — | 2 | 1 | no | — |
| 131 | #63228 | — | 4 | 1 | no | — |
| 132 | #63228 | — | 4 | 1 | no | — |
| 133 | C2×#3622 | #41 | 1 | 1 | yes | characteristic |
| 134 | Dic68 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 135 | D136 | — | 2 | 1 | no | — |
| 136 | D136 | — | 2 | 1 | no | — |
| 137 | D136 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 138 | #63219 | — | 2 | 1 | no | — |
| 139 | C8×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C8×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 141 | C8×D17 | C2×D4 | 1 | 1 | yes | characteristic |
| 142 | C8×D17 | #41 | 1 | 1 | yes | characteristic |
| 143 | #63216 | — | 4 | 1 | no | — |
| 144 | C16×C17 | — | 2 | 1 | no | — |
| 145 | #63214 | — | 2 | 1 | no | — |
| 146 | #13032 | — | 17 | 1 | no | maximal, Sylow |
| 147 | C23×C17 | — | 4 | 1 | no | — |
| 148 | C22×D17 | — | 4 | 1 | no | — |
| 149 | C22×D17 | — | 4 | 1 | no | — |
| 150 | C22×D17 | — | 8 | 1 | no | — |
| 151 | C22×D17 | — | 8 | 1 | no | — |
| 152 | C22×D17 | — | 16 | 2 | no | — |
| 153 | C22×D17 | #135 | 1 | 1 | yes | characteristic |
| 154 | C2×#595 | — | 4 | 1 | no | — |
| 155 | Q8×C17 | — | 2 | 1 | no | — |
| 156 | D4×C17 | — | 2 | 1 | no | — |
| 157 | D4×C17 | — | 4 | 1 | no | — |
| 158 | D4×C17 | — | 4 | 1 | no | — |
| 159 | D4×C17 | — | 4 | 1 | no | — |
| 160 | C2×C4×C17 | — | 4 | 1 | no | — |
| 161 | C2×C4×C17 | C4×D4 | 1 | 1 | yes | characteristic |
| 162 | C22⋊D17 | — | 4 | 1 | no | — |
| 163 | C22⋊D17 | — | 4 | 1 | no | — |
| 164 | C22⋊D17 | — | 4 | 1 | no | — |
| 165 | C22⋊D17 | — | 8 | 1 | no | — |
| 166 | C22⋊D17 | — | 8 | 1 | no | — |
| 167 | C2×Dic17 | — | 4 | 1 | no | — |
| 168 | C2×Dic17 | C2×D8 | 1 | 1 | yes | characteristic |
| 169 | D68 | — | 2 | 1 | no | — |
| 170 | D68 | — | 4 | 1 | no | — |
| 171 | D68 | — | 4 | 1 | no | — |
| 172 | D68 | — | 4 | 1 | no | — |
| 173 | C4×D17 | — | 4 | 1 | no | — |
| 174 | C4×D17 | — | 4 | 1 | no | — |
| 175 | C4×D17 | — | 4 | 1 | no | — |
| 176 | C4×D17 | #120 | 1 | 1 | yes | characteristic |
| 177 | C4×D17 | #121 | 1 | 1 | yes | characteristic |
| 178 | C4×D17 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 179 | C4×D17 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 180 | Dic34 | — | 2 | 1 | no | — |
| 181 | Dic34 | — | 4 | 1 | no | — |
| 182 | #3624 | — | 2 | 2 | no | — |
| 183 | #3624 | — | 4 | 2 | no | — |
| 184 | #3624 | — | 8 | 1 | no | — |
| 185 | C8×C17 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 186 | C8×C17 | C4×D4 | 1 | 1 | yes | characteristic |
| 187 | #3622 | #121 | 1 | 1 | yes | characteristic |
| 188 | #3622 | #123 | 1 | 1 | yes | characteristic |
| 189 | C2×#509 | — | 17 | 1 | no | — |
| 190 | #2957 | — | 17 | 1 | no | — |
| 191 | #2148 | — | 17 | 1 | no | — |
| 192 | C2×#361 | — | 17 | 1 | no | — |
| 193 | #1978 | — | 17 | 1 | no | — |
| 194 | #1388 | — | 17 | 1 | no | — |
| 195 | #1378 | — | 17 | 1 | no | — |
| 196 | C22×C17 | — | 4 | 1 | no | — |
| 197 | C22×C17 | — | 8 | 1 | no | — |
| 198 | C22×C17 | — | 16 | 1 | no | — |
| 199 | C22×C17 | C4×D8 | 1 | 1 | yes | characteristic |
| 200 | C2×D17 | — | 4 | 1 | no | — |
| 201 | C2×D17 | — | 4 | 1 | no | — |
| 202 | C2×D17 | — | 8 | 1 | no | — |
| 203 | C2×D17 | — | 16 | 1 | no | — |
| 204 | C2×D17 | — | 16 | 2 | no | — |
| 205 | C2×D17 | — | 16 | 2 | no | — |
| 206 | C2×D17 | — | 16 | 1 | no | — |
| 207 | C2×D17 | #449 | 1 | 1 | yes | characteristic |
| 208 | C2×D17 | #463 | 1 | 1 | yes | characteristic |
| 209 | #595 | — | 8 | 1 | no | — |
| 210 | C4×C17 | — | 4 | 1 | no | — |
| 211 | C4×C17 | #386 | 1 | 1 | yes | characteristic |
| 212 | C4×C17 | #442 | 1 | 1 | yes | characteristic |
| 213 | Dic17 | — | 4 | 1 | no | — |
| 214 | Dic17 | #447 | 1 | 1 | yes | characteristic |
| 215 | Dic17 | #459 | 1 | 1 | yes | characteristic |
| 216 | C2×#135 | — | 17 | 1 | no | — |
| 217 | C22×D8 | — | 17 | 1 | no | — |
| 218 | #568 | — | 34 | 1 | no | — |
| 219 | #509 | — | 17 | 1 | no | — |
| 220 | #509 | — | 17 | 1 | no | — |
| 221 | #509 | — | 17 | 1 | no | — |
| 222 | #509 | — | 34 | 1 | no | — |
| 223 | #509 | — | 34 | 1 | no | — |
| 224 | #509 | #595 | 1 | 1 | yes | characteristic, complemented |
| 225 | C2×SD32 | — | 34 | 1 | no | — |
| 226 | C2×D16 | — | 34 | 1 | no | — |
| 227 | C2×M32 | — | 17 | 1 | no | — |
| 228 | C2×M32 | — | 17 | 1 | no | — |
| 229 | #444 | — | 34 | 1 | no | — |
| 230 | #444 | — | 34 | 1 | no | — |
| 231 | #443 | — | 34 | 2 | no | — |
| 232 | C2×#108 | — | 17 | 1 | no | — |
| 233 | C2×#108 | — | 17 | 1 | no | — |
| 234 | #421 | — | 34 | 1 | no | — |
| 235 | #418 | — | 34 | 1 | no | — |
| 236 | C2×#100 | — | 34 | 1 | no | — |
| 237 | #405 | — | 17 | 1 | no | — |
| 238 | #362 | — | 34 | 1 | no | — |
| 239 | #361 | — | 34 | 2 | no | — |
| 240 | #361 | — | 34 | 1 | no | — |
| 241 | C2×C17 | — | 2 | 1 | no | — |
| 242 | C2×C17 | — | 8 | 1 | no | — |
| 243 | C2×C17 | — | 16 | 1 | no | — |
| 244 | C2×C17 | #1879 | 1 | 1 | yes | characteristic |
| 245 | D17 | — | 2 | 1 | no | — |
| 246 | D17 | — | 2 | 1 | no | — |
| 247 | D17 | — | 8 | 1 | no | — |
| 248 | D17 | — | 16 | 1 | no | — |
| 249 | C2×#41 | — | 34 | 1 | no | — |
| 250 | C22×D4 | — | 34 | 1 | no | — |
| 251 | #135 | — | 17 | 1 | no | — |
| 252 | #135 | — | 17 | 1 | no | — |
| 253 | #135 | — | 17 | 1 | no | — |
| 254 | #135 | — | 34 | 1 | no | — |
| 255 | #135 | — | 34 | 1 | no | — |
| 256 | #135 | C2×#595 | 1 | 1 | yes | characteristic |
| 257 | C2×Q16 | — | 17 | 1 | no | — |
| 258 | C2×SD16 | — | 34 | 1 | no | — |
| 259 | C2×D8 | — | 17 | 1 | no | — |
| 260 | C2×D8 | — | 17 | 1 | no | — |
| 261 | C2×D8 | — | 34 | 1 | no | — |
| 262 | C2×D8 | — | 34 | 1 | no | — |
| 263 | C2×D8 | — | 34 | 1 | no | — |
| 264 | C2×D8 | — | 34 | 1 | no | — |
| 265 | C2×D8 | — | 34 | 1 | no | — |
| 266 | C2×D8 | C2×#595 | 1 | 1 | yes | characteristic |
| 267 | #131 | — | 34 | 2 | no | — |
| 268 | #131 | — | 34 | 2 | no | — |
| 269 | #131 | — | 68 | 2 | no | — |
| 270 | C2×M16 | — | 17 | 1 | no | — |
| 271 | C2×M16 | — | 34 | 1 | no | — |
| 272 | C2×M16 | — | 34 | 1 | no | — |
| 273 | C2×M16 | — | 68 | 1 | no | — |
| 274 | C2×M16 | — | 68 | 1 | no | — |
| 275 | C22×C8 | — | 17 | 1 | no | — |
| 276 | #117 | — | 17 | 1 | no | — |
| 277 | SD32 | — | 2 | 1 | no | — |
| 278 | SD32 | — | 34 | 1 | no | — |
| 279 | SD32 | — | 34 | 1 | no | — |
| 280 | SD32 | — | 34 | 1 | no | — |
| 281 | D16 | — | 2 | 1 | no | — |
| 282 | D16 | — | 34 | 1 | no | — |
| 283 | D16 | — | 34 | 1 | no | — |
| 284 | D16 | — | 34 | 1 | no | — |
| 285 | M32 | — | 17 | 1 | no | — |
| 286 | M32 | — | 34 | 1 | no | — |
| 287 | M32 | — | 34 | 1 | no | — |
| 288 | M32 | — | 34 | 1 | no | — |
| 289 | M32 | C2×#595 | 1 | 1 | yes | characteristic |
| 290 | C2×C16 | — | 34 | 1 | no | — |
| 291 | C2×C16 | — | 34 | 1 | no | — |
| 292 | #108 | — | 17 | 2 | no | — |
| 293 | #108 | — | 34 | 1 | no | — |
| 294 | #108 | — | 34 | 1 | no | — |
| 295 | #108 | — | 34 | 1 | no | — |
| 296 | #104 | — | 34 | 2 | no | — |
| 297 | #104 | — | 34 | 2 | no | — |
| 298 | #102 | — | 68 | 2 | no | — |
| 299 | #100 | — | 68 | 2 | no | — |
| 300 | #97 | — | 34 | 1 | no | — |
| 301 | C4×C8 | — | 34 | 1 | no | — |
| 302 | C17 | #13032 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 303 | C24 | — | 68 | 1 | no | — |
| 304 | #41 | — | 2 | 1 | no | — |
| 305 | #41 | — | 34 | 1 | no | — |
| 306 | #41 | — | 34 | 1 | no | — |
| 307 | #41 | — | 34 | 1 | no | — |
| 308 | #41 | — | 68 | 1 | no | — |
| 309 | #41 | — | 68 | 1 | no | — |
| 310 | C2×Q8 | — | 34 | 1 | no | — |
| 311 | C2×D4 | — | 2 | 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 | 1 | no | — |
| 318 | C2×D4 | — | 68 | 1 | no | — |
| 319 | C2×D4 | — | 68 | 1 | no | — |
| 320 | C22×C4 | — | 17 | 1 | no | — |
| 321 | C22×C4 | — | 68 | 1 | no | — |
| 322 | Q16 | — | 17 | 1 | no | — |
| 323 | Q16 | — | 34 | 1 | no | — |
| 324 | Q16 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 325 | SD16 | — | 2 | 1 | no | — |
| 326 | SD16 | — | 34 | 1 | no | — |
| 327 | SD16 | — | 34 | 1 | no | — |
| 328 | SD16 | — | 34 | 1 | no | — |
| 329 | D8 | — | 2 | 1 | no | — |
| 330 | D8 | — | 2 | 1 | no | — |
| 331 | D8 | — | 17 | 1 | no | — |
| 332 | D8 | — | 34 | 1 | no | — |
| 333 | D8 | — | 34 | 1 | no | — |
| 334 | D8 | — | 34 | 1 | no | — |
| 335 | D8 | — | 68 | 1 | no | — |
| 336 | D8 | — | 68 | 1 | no | — |
| 337 | D8 | C22⋊#595 | 1 | 1 | yes | characteristic |
| 338 | M16 | — | 17 | 2 | no | — |
| 339 | M16 | — | 34 | 1 | no | — |
| 340 | M16 | — | 34 | 2 | no | — |
| 341 | M16 | — | 68 | 2 | no | — |
| 342 | M16 | — | 68 | 2 | no | — |
| 343 | M16 | — | 68 | 1 | no | — |
| 344 | M16 | — | 68 | 1 | no | — |
| 345 | M16 | — | 68 | 1 | no | — |
| 346 | C2×C8 | — | 17 | 1 | no | — |
| 347 | C2×C8 | — | 17 | 1 | no | — |
| 348 | C2×C8 | — | 17 | 1 | no | — |
| 349 | C2×C8 | — | 17 | 1 | no | — |
| 350 | C2×C8 | — | 17 | 1 | no | — |
| 351 | C2×C8 | — | 34 | 1 | no | — |
| 352 | C2×C8 | — | 68 | 2 | no | — |
| 353 | C2×C8 | — | 68 | 2 | no | — |
| 354 | C2×C8 | — | 68 | 1 | no | — |
| 355 | C2×C8 | — | 68 | 1 | no | — |
| 356 | C2×C8 | C22×#595 | 1 | 1 | yes | characteristic |
| 357 | C4⋊C4 | — | 34 | 1 | no | — |
| 358 | C22⋊C4 | — | 34 | 1 | no | — |
| 359 | C42 | — | 34 | 1 | no | — |
| 360 | C16 | — | 2 | 1 | no | — |
| 361 | C16 | — | 34 | 1 | no | — |
| 362 | C16 | — | 68 | 1 | no | — |
| 363 | C23 | — | 4 | 1 | no | — |
| 364 | C23 | — | 272 | 2 | no | — |
| 365 | C23 | — | 17 | 1 | no | — |
| 366 | C23 | — | 68 | 1 | no | — |
| 367 | C23 | — | 68 | 1 | no | — |
| 368 | C23 | — | 136 | 1 | no | — |
| 369 | C23 | — | 136 | 1 | no | — |
| 370 | Q8 | — | 2 | 1 | no | — |
| 371 | Q8 | — | 34 | 1 | no | — |
| 372 | Q8 | — | 68 | 1 | no | — |
| 373 | D4 | — | 2 | 1 | no | — |
| 374 | D4 | — | 4 | 1 | no | — |
| 375 | D4 | — | 4 | 1 | no | — |
| 376 | D4 | — | 4 | 1 | no | — |
| 377 | D4 | — | 34 | 1 | no | — |
| 378 | D4 | — | 68 | 1 | no | — |
| 379 | D4 | — | 68 | 1 | no | — |
| 380 | D4 | — | 68 | 1 | no | — |
| 381 | D4 | — | 68 | 1 | no | — |
| 382 | D4 | — | 68 | 1 | no | — |
| 383 | D4 | — | 68 | 1 | no | — |
| 384 | D4 | — | 136 | 1 | no | — |
| 385 | D4 | — | 136 | 1 | no | — |
| 386 | C2×C4 | — | 4 | 1 | no | — |
| 387 | C2×C4 | — | 17 | 1 | no | — |
| 388 | C2×C4 | — | 17 | 1 | no | — |
| 389 | C2×C4 | — | 17 | 1 | no | — |
| 390 | C2×C4 | — | 17 | 1 | no | — |
| 391 | C2×C4 | — | 17 | 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 | 1 | no | — |
| 397 | C2×C4 | D4×#595 | 1 | 1 | yes | characteristic |
| 398 | C8 | — | 17 | 1 | no | — |
| 399 | C8 | — | 17 | 1 | no | — |
| 400 | C8 | — | 34 | 2 | no | — |
| 401 | C8 | — | 68 | 2 | no | — |
| 402 | C8 | — | 136 | 1 | no | — |
| 403 | C8 | D4×#595 | 1 | 1 | yes | characteristic |
| 404 | C8 | C2×C22⋊#595 | 1 | 1 | yes | characteristic |
| 405 | C22 | — | 4 | 1 | no | — |
| 406 | C22 | — | 8 | 1 | no | — |
| 407 | C22 | — | 16 | 1 | no | — |
| 408 | C22 | — | 272 | 1 | no | — |
| 409 | C22 | — | 272 | 1 | no | — |
| 410 | C22 | — | 272 | 2 | no | — |
| 411 | C22 | — | 272 | 2 | no | — |
| 412 | C22 | — | 17 | 1 | no | — |
| 413 | C22 | — | 17 | 1 | no | — |
| 414 | C22 | — | 68 | 1 | no | — |
| 415 | C22 | — | 68 | 1 | no | — |
| 416 | C22 | — | 136 | 1 | no | — |
| 417 | C22 | D8×#595 | 1 | 1 | yes | characteristic |
| 418 | C4 | — | 4 | 1 | no | — |
| 419 | C4 | — | 17 | 1 | no | — |
| 420 | C4 | — | 17 | 1 | no | — |
| 421 | C4 | — | 68 | 1 | no | — |
| 422 | C4 | — | 136 | 1 | no | — |
| 423 | C4 | #11763757 | 1 | 1 | yes | characteristic |
| 424 | C4 | #11763850 | 1 | 1 | yes | characteristic |
| 425 | C2 | — | 2 | 1 | no | — |
| 426 | C2 | — | 8 | 1 | no | — |
| 427 | C2 | — | 16 | 1 | no | — |
| 428 | C2 | — | 272 | 1 | no | — |
| 429 | C2 | — | 34 | 1 | no | — |
| 430 | C2 | — | 34 | 1 | no | — |
| 431 | C2 | — | 136 | 1 | no | — |
| 432 | C2 | #14544779 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14545563 | C2 | semidirect |
| 2. #14545111 | C2 | semidirect |
| 3. C2×#11763727 | C2 | semidirect |
| 4. #14544945 | C2 | semidirect |
| 5. #14543862 | C2 | semidirect |
| 6. #14543836 | C2 | semidirect |
| 24. #11763247 | C4 | semidirect |
| 26. #11763245 | C4 | semidirect |
| 27. #11763244 | C4 | semidirect |
| 32. C17×#509 | C4 | semidirect |
| 224. #509 | #595 | semidirect |
| 302. C17 | #13032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545563 | 2 |
| #14545111 | 2 |
| C2×#11763727 | 2 |
| #14544945 | 2 |
| #14543862 | 2 |
| #14543836 | 2 |
| D17×#509 | 2 |
| #13032 | 17 |