Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
934 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 167 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 | #21437906 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21434196 | C2 | 1 | 2 | yes | maximal |
| 3 | #21427379 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #21423140 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #21423038 | C2 | 1 | 4 | yes | maximal |
| 6 | #21422609 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C59×#1467 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | Q8×Dic118 | — | 2 | 2 | no | — |
| 9 | #16838131 | — | 2 | 2 | no | — |
| 10 | #16838128 | — | 2 | 4 | no | — |
| 11 | #16838033 | — | 2 | 1 | no | — |
| 12 | #16838033 | C22 | 1 | 4 | yes | — |
| 13 | #16837959 | — | 2 | 2 | no | — |
| 14 | #16837959 | C22 | 1 | 2 | yes | — |
| 15 | #16837880 | — | 2 | 1 | no | — |
| 16 | C2×C4×D236 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16837738 | C22 | 1 | 4 | yes | — |
| 18 | #16837683 | — | 2 | 2 | no | — |
| 19 | #16837608 | — | 2 | 2 | no | — |
| 20 | #16837555 | C22 | 1 | 4 | yes | — |
| 21 | #16837504 | — | 2 | 4 | no | — |
| 22 | #16837341 | C22 | 1 | 2 | yes | — |
| 23 | #16837328 | — | 2 | 1 | no | — |
| 24 | #16837319 | C22 | 1 | 2 | yes | — |
| 25 | #16837313 | — | 2 | 1 | no | — |
| 26 | C4×(C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 27 | #16837248 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16837140 | C22 | 1 | 8 | yes | — |
| 29 | C2×C4×Q8×C59 | C22 | 1 | 1 | yes | characteristic |
| 30 | C59×#432 | C22 | 1 | 2 | yes | — |
| 31 | C59×#324 | C22 | 1 | 4 | yes | — |
| 32 | C22×D236 | C23 | 1 | 1 | yes | characteristic |
| 33 | C22×C4×D59 | — | 2 | 1 | no | — |
| 34 | C2×#11745660 | — | 2 | 4 | no | — |
| 35 | #14273727 | — | 2 | 2 | no | — |
| 36 | #14273727 | — | 2 | 2 | no | — |
| 37 | #14273727 | D4 | 1 | 2 | yes | — |
| 38 | #14273727 | D4 | 1 | 2 | yes | — |
| 39 | #14273726 | — | 2 | 4 | no | — |
| 40 | #14273726 | — | 2 | 8 | no | — |
| 41 | #14273719 | — | 2 | 4 | no | — |
| 42 | #14273719 | — | 2 | 2 | no | — |
| 43 | #14273718 | — | 2 | 4 | no | — |
| 44 | #14273718 | — | 2 | 8 | no | — |
| 45 | #14273706 | — | 2 | 2 | no | — |
| 46 | #14273706 | — | 2 | 4 | no | — |
| 47 | #14273706 | C23 | 1 | 4 | yes | — |
| 48 | Q8×Dic59 | — | 2 | 4 | no | — |
| 49 | Q8×Dic59 | — | 2 | 4 | no | — |
| 50 | C4×Dic118 | — | 2 | 4 | no | — |
| 51 | C4×Dic118 | — | 2 | 4 | no | — |
| 52 | C4×Dic118 | — | 2 | 2 | no | — |
| 53 | C4×Dic118 | D4 | 1 | 4 | yes | — |
| 54 | C4×D236 | — | 2 | 2 | no | — |
| 55 | C4×D236 | — | 2 | 2 | no | — |
| 56 | #14273686 | — | 2 | 4 | no | — |
| 57 | #14273686 | — | 2 | 2 | no | — |
| 58 | C2×C4⋊Dic59 | C23 | 1 | 1 | yes | characteristic |
| 59 | C2×(C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 60 | C2×(C2×D59)⋊C4 | — | 2 | 2 | no | — |
| 61 | C2×(C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 62 | C2×C4×Dic59 | — | 2 | 1 | no | — |
| 63 | #14273661 | — | 2 | 4 | no | — |
| 64 | #14273652 | — | 2 | 4 | no | — |
| 65 | #14273649 | — | 2 | 4 | no | — |
| 66 | C59⋊#95 | — | 2 | 1 | no | — |
| 67 | C59⋊#95 | — | 2 | 2 | no | — |
| 68 | C59⋊#95 | — | 2 | 2 | no | — |
| 69 | C59⋊#95 | C23 | 1 | 2 | yes | — |
| 70 | C22×Q8×C59 | D4 | 1 | 1 | yes | characteristic |
| 71 | C4×Q8×C59 | — | 2 | 2 | no | — |
| 72 | C4×Q8×C59 | — | 2 | 2 | no | — |
| 73 | C2×C4⋊C4×C59 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×C4⋊C4×C59 | C23 | 1 | 2 | yes | — |
| 75 | C2×C42×C59 | D4 | 1 | 2 | yes | — |
| 76 | C2×C42×C59 | C23 | 1 | 1 | yes | characteristic |
| 77 | C4⋊C8×C59 | — | 2 | 2 | no | — |
| 78 | C22⋊C8×C59 | C23 | 1 | 4 | yes | — |
| 79 | #97×C59 | — | 2 | 2 | no | — |
| 80 | C23×D59 | — | 2 | 1 | no | — |
| 81 | C2×Q8×C59 | — | 2 | 2 | no | — |
| 82 | C2×Q8×C59 | — | 2 | 4 | no | — |
| 83 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 85 | C22×C4×C59 | C2×D4 | 1 | 2 | yes | — |
| 86 | C22×C4×C59 | C2×D4 | 1 | 2 | yes | — |
| 87 | C22×C4×C59 | C24 | 1 | 1 | yes | characteristic |
| 88 | C22×Dic59 | — | 2 | 1 | no | — |
| 89 | C22×Dic59 | — | 2 | 2 | no | — |
| 90 | C2×D236 | — | 2 | 2 | no | — |
| 91 | C2×D236 | — | 4 | 2 | no | — |
| 92 | C2×C4×D59 | — | 4 | 4 | no | — |
| 93 | C2×C4×D59 | — | 4 | 1 | no | — |
| 94 | C2×C4×D59 | — | 4 | 1 | no | — |
| 95 | C2×Dic118 | — | 2 | 2 | no | — |
| 96 | C2×Dic118 | — | 2 | 4 | no | — |
| 97 | C2×Dic118 | C2×D4 | 1 | 4 | yes | — |
| 98 | C2×C8×C59 | — | 2 | 4 | no | — |
| 99 | C4⋊C4×C59 | — | 2 | 2 | no | — |
| 100 | C4⋊C4×C59 | — | 2 | 4 | no | — |
| 101 | C42×C59 | — | 2 | 2 | no | — |
| 102 | C42×C59 | — | 2 | 2 | no | — |
| 103 | C42×C59 | C2×D4 | 1 | 2 | yes | — |
| 104 | C42×C59 | C2×D4 | 1 | 2 | yes | — |
| 105 | C22⋊Dic59 | — | 2 | 4 | no | — |
| 106 | (C2×D59)⋊C4 | — | 4 | 4 | no | — |
| 107 | (C2×D59)⋊C4 | — | 4 | 2 | no | — |
| 108 | (C2×D59)⋊C4 | — | 4 | 4 | no | — |
| 109 | C4⋊Dic59 | — | 2 | 4 | no | — |
| 110 | C4⋊Dic59 | — | 2 | 4 | no | — |
| 111 | C4⋊Dic59 | — | 2 | 4 | no | — |
| 112 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 113 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 114 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 115 | C4⋊Dic59 | — | 2 | 2 | no | — |
| 116 | C4⋊Dic59 | C2×D4 | 1 | 4 | yes | — |
| 117 | Dic59⋊C4 | — | 2 | 8 | no | — |
| 118 | Dic59⋊C4 | — | 2 | 4 | no | — |
| 119 | Dic59⋊C4 | — | 2 | 4 | no | — |
| 120 | C4×Dic59 | — | 2 | 8 | no | — |
| 121 | C4×Dic59 | — | 2 | 4 | no | — |
| 122 | C4×Dic59 | — | 4 | 2 | no | — |
| 123 | #11745660 | — | 4 | 8 | no | — |
| 124 | C23×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 125 | C22×D59 | — | 2 | 2 | no | — |
| 126 | C22×D59 | — | 4 | 2 | no | — |
| 127 | C22×D59 | — | 4 | 1 | no | — |
| 128 | C22×D59 | — | 4 | 1 | no | — |
| 129 | C22×D59 | — | 4 | 2 | no | — |
| 130 | Q8×C59 | — | 2 | 8 | no | — |
| 131 | C2×C4×C59 | — | 2 | 2 | no | — |
| 132 | C2×C4×C59 | — | 2 | 2 | no | — |
| 133 | C2×C4×C59 | — | 2 | 2 | no | — |
| 134 | C2×C4×C59 | — | 2 | 2 | no | — |
| 135 | C2×C4×C59 | — | 2 | 2 | no | — |
| 136 | C2×C4×C59 | — | 4 | 1 | no | — |
| 137 | C2×C4×C59 | — | 4 | 2 | no | — |
| 138 | C2×C4×C59 | #120 | 1 | 2 | yes | — |
| 139 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 140 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 141 | C2×C4×C59 | #137 | 1 | 4 | yes | — |
| 142 | C2×C4×C59 | C22×D4 | 1 | 2 | yes | — |
| 143 | C2×Dic59 | — | 2 | 4 | no | — |
| 144 | C2×Dic59 | — | 2 | 4 | no | — |
| 145 | C2×Dic59 | — | 4 | 2 | no | — |
| 146 | C2×Dic59 | — | 4 | 2 | no | — |
| 147 | C2×Dic59 | — | 4 | 2 | no | — |
| 148 | C2×Dic59 | — | 4 | 1 | no | — |
| 149 | C2×Dic59 | — | 4 | 2 | no | — |
| 150 | D236 | — | 2 | 4 | no | — |
| 151 | D236 | — | 4 | 2 | no | — |
| 152 | C4×D59 | — | 8 | 2 | no | — |
| 153 | C4×D59 | — | 8 | 2 | no | — |
| 154 | Dic118 | — | 4 | 4 | no | — |
| 155 | Dic118 | — | 4 | 4 | no | — |
| 156 | Dic118 | — | 8 | 4 | no | — |
| 157 | C8×C59 | — | 4 | 4 | no | — |
| 158 | #18188 | — | 59 | 1 | no | maximal, Sylow |
| 159 | C22×C59 | — | 2 | 1 | no | — |
| 160 | C22×C59 | — | 2 | 1 | no | — |
| 161 | C22×C59 | C2×#120 | 1 | 1 | yes | characteristic |
| 162 | C22×C59 | C2×#137 | 1 | 2 | yes | — |
| 163 | C2×D59 | — | 4 | 4 | no | — |
| 164 | C2×D59 | — | 4 | 2 | no | — |
| 165 | C2×D59 | — | 8 | 2 | no | — |
| 166 | C2×D59 | — | 8 | 1 | no | — |
| 167 | C2×D59 | — | 8 | 1 | no | — |
| 168 | C4×C59 | — | 2 | 2 | no | — |
| 169 | C4×C59 | — | 2 | 4 | no | — |
| 170 | C4×C59 | — | 2 | 1 | no | — |
| 171 | C4×C59 | — | 2 | 2 | no | — |
| 172 | C4×C59 | — | 4 | 2 | no | — |
| 173 | C4×C59 | #454 | 1 | 2 | yes | — |
| 174 | Dic59 | — | 4 | 4 | no | — |
| 175 | Dic59 | — | 4 | 4 | no | — |
| 176 | Dic59 | — | 8 | 2 | no | — |
| 177 | Dic59 | — | 8 | 1 | no | — |
| 178 | #3502 | — | 59 | 1 | no | — |
| 179 | #3110 | — | 59 | 2 | no | — |
| 180 | #2398 | — | 59 | 1 | no | — |
| 181 | #1617 | — | 59 | 4 | no | — |
| 182 | #1599 | — | 59 | 4 | no | — |
| 183 | #1506 | — | 59 | 2 | no | — |
| 184 | #1467 | D59 | 1 | 1 | yes | characteristic, complemented |
| 185 | C2×C59 | — | 2 | 2 | no | — |
| 186 | C2×C59 | #3004 | 1 | 1 | yes | characteristic |
| 187 | C2×C59 | C2×#454 | 1 | 1 | yes | characteristic |
| 188 | C2×C59 | #3025 | 1 | 1 | yes | characteristic |
| 189 | D59 | — | 8 | 2 | no | — |
| 190 | Q82 | — | 118 | 2 | no | — |
| 191 | #557 | — | 118 | 4 | no | — |
| 192 | #557 | — | 118 | 2 | no | — |
| 193 | #544 | — | 59 | 4 | no | — |
| 194 | #544 | — | 118 | 1 | no | — |
| 195 | #533 | — | 59 | 2 | no | — |
| 196 | #533 | — | 118 | 2 | no | — |
| 197 | #519 | — | 118 | 1 | no | — |
| 198 | C2×C4×Q8 | C2×D59 | 1 | 1 | yes | characteristic |
| 199 | C2×C4×D4 | — | 59 | 1 | no | — |
| 200 | #484 | — | 59 | 4 | no | — |
| 201 | #474 | — | 118 | 2 | no | — |
| 202 | #461 | — | 118 | 2 | no | — |
| 203 | #450 | — | 59 | 4 | no | — |
| 204 | #440 | — | 118 | 4 | no | — |
| 205 | #432 | C2×D59 | 1 | 2 | yes | — |
| 206 | #400 | — | 59 | 2 | no | — |
| 207 | #397 | — | 118 | 1 | no | — |
| 208 | #394 | — | 59 | 2 | no | — |
| 209 | #393 | — | 118 | 1 | no | — |
| 210 | C4×C22⋊C4 | — | 118 | 2 | no | — |
| 211 | #376 | — | 59 | 1 | no | — |
| 212 | #328 | — | 59 | 8 | no | — |
| 213 | #324 | C2×D59 | 1 | 4 | yes | — |
| 214 | C59 | #18188 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 215 | C22×Q8 | D236 | 1 | 1 | yes | characteristic |
| 216 | C22×D4 | — | 59 | 1 | no | — |
| 217 | C23×C4 | — | 118 | 1 | no | — |
| 218 | C2×SD16 | — | 118 | 4 | no | — |
| 219 | C4⋊Q8 | — | 59 | 2 | no | — |
| 220 | C4⋊Q8 | — | 59 | 2 | no | — |
| 221 | C4⋊Q8 | — | 118 | 2 | no | — |
| 222 | C4⋊Q8 | — | 118 | 2 | no | — |
| 223 | C4⋊Q8 | — | 118 | 8 | no | — |
| 224 | C4⋊Q8 | — | 118 | 4 | no | — |
| 225 | #125 | — | 118 | 4 | no | — |
| 226 | #125 | — | 118 | 8 | no | — |
| 227 | #125 | — | 118 | 4 | no | — |
| 228 | #125 | — | 118 | 2 | no | — |
| 229 | C22⋊Q8 | — | 59 | 4 | no | — |
| 230 | C22⋊Q8 | — | 118 | 2 | no | — |
| 231 | C22⋊Q8 | — | 118 | 4 | no | — |
| 232 | C4×Q8 | — | 2 | 2 | no | — |
| 233 | C4×Q8 | — | 2 | 2 | no | — |
| 234 | C4×Q8 | — | 59 | 4 | no | — |
| 235 | C4×Q8 | — | 118 | 4 | no | — |
| 236 | C4×Q8 | — | 118 | 4 | no | — |
| 237 | C4×Q8 | — | 118 | 4 | no | — |
| 238 | C4×Q8 | — | 118 | 4 | no | — |
| 239 | C4×Q8 | — | 118 | 2 | no | — |
| 240 | C4×D4 | — | 118 | 2 | no | — |
| 241 | C4×D4 | — | 118 | 2 | no | — |
| 242 | #117 | — | 118 | 2 | no | — |
| 243 | #117 | — | 118 | 4 | no | — |
| 244 | C2×C4⋊C4 | — | 59 | 1 | no | — |
| 245 | C2×C4⋊C4 | D236 | 1 | 1 | yes | characteristic |
| 246 | C2×C4⋊C4 | C22×D59 | 1 | 2 | yes | — |
| 247 | C2×C22⋊C4 | — | 118 | 1 | no | — |
| 248 | C2×C22⋊C4 | — | 118 | 2 | no | — |
| 249 | C2×C22⋊C4 | — | 118 | 2 | no | — |
| 250 | C2×C42 | — | 118 | 1 | no | — |
| 251 | C2×C42 | D236 | 1 | 2 | yes | — |
| 252 | C2×C42 | C22×D59 | 1 | 1 | yes | characteristic |
| 253 | #107 | — | 118 | 4 | no | — |
| 254 | C4⋊C8 | — | 2 | 2 | no | — |
| 255 | #103 | — | 118 | 4 | no | — |
| 256 | #102 | — | 118 | 4 | no | — |
| 257 | C22⋊C8 | C22×D59 | 1 | 4 | yes | — |
| 258 | #97 | — | 2 | 2 | no | — |
| 259 | #95 | — | 59 | 2 | no | — |
| 260 | #95 | — | 118 | 1 | no | — |
| 261 | #95 | — | 118 | 2 | no | — |
| 262 | #95 | — | 118 | 2 | no | — |
| 263 | C24 | — | 118 | 1 | no | — |
| 264 | C2×Q8 | — | 2 | 2 | no | — |
| 265 | C2×Q8 | — | 2 | 4 | no | — |
| 266 | C2×Q8 | — | 59 | 4 | no | — |
| 267 | C2×Q8 | — | 118 | 4 | no | — |
| 268 | C2×Q8 | — | 118 | 2 | no | — |
| 269 | C2×D4 | — | 118 | 2 | no | — |
| 270 | C2×D4 | — | 236 | 2 | no | — |
| 271 | C22×C4 | — | 118 | 2 | no | — |
| 272 | C22×C4 | — | 118 | 1 | no | — |
| 273 | C22×C4 | — | 236 | 4 | no | — |
| 274 | C22×C4 | — | 236 | 1 | no | — |
| 275 | C22×C4 | — | 236 | 1 | no | — |
| 276 | C22×C4 | C2×D236 | 1 | 1 | yes | characteristic |
| 277 | C22×C4 | C2×D236 | 1 | 1 | yes | characteristic |
| 278 | C22×C4 | C2×D236 | 1 | 2 | yes | — |
| 279 | C22×C4 | C2×D236 | 1 | 2 | yes | — |
| 280 | C22×C4 | C23×D59 | 1 | 1 | yes | characteristic |
| 281 | SD16 | — | 236 | 8 | no | — |
| 282 | C2×C8 | — | 2 | 4 | no | — |
| 283 | C4⋊C4 | — | 2 | 2 | no | — |
| 284 | C4⋊C4 | — | 2 | 4 | no | — |
| 285 | C4⋊C4 | — | 59 | 4 | no | — |
| 286 | C4⋊C4 | — | 118 | 4 | no | — |
| 287 | C4⋊C4 | — | 118 | 4 | no | — |
| 288 | C4⋊C4 | — | 118 | 4 | no | — |
| 289 | C4⋊C4 | — | 118 | 8 | no | — |
| 290 | C4⋊C4 | — | 118 | 2 | no | — |
| 291 | C4⋊C4 | — | 118 | 2 | no | — |
| 292 | C4⋊C4 | — | 118 | 4 | no | — |
| 293 | C4⋊C4 | — | 118 | 2 | no | — |
| 294 | C4⋊C4 | — | 118 | 4 | no | — |
| 295 | C4⋊C4 | — | 118 | 2 | no | — |
| 296 | C22⋊C4 | — | 118 | 4 | no | — |
| 297 | C22⋊C4 | — | 236 | 4 | no | — |
| 298 | C22⋊C4 | — | 236 | 2 | no | — |
| 299 | C22⋊C4 | — | 236 | 4 | no | — |
| 300 | C42 | — | 2 | 2 | no | — |
| 301 | C42 | — | 2 | 2 | no | — |
| 302 | C42 | — | 118 | 8 | no | — |
| 303 | C42 | — | 118 | 4 | no | — |
| 304 | C42 | — | 236 | 2 | no | — |
| 305 | C42 | D4×D59 | 1 | 2 | yes | — |
| 306 | C42 | D4×D59 | 1 | 2 | yes | — |
| 307 | C23 | — | 118 | 2 | no | — |
| 308 | C23 | — | 236 | 2 | no | — |
| 309 | C23 | — | 236 | 1 | no | — |
| 310 | C23 | — | 236 | 1 | no | — |
| 311 | C23 | — | 236 | 2 | no | — |
| 312 | C23 | C22×D236 | 1 | 1 | yes | characteristic |
| 313 | Q8 | — | 2 | 8 | no | — |
| 314 | Q8 | — | 472 | 4 | no | — |
| 315 | Q8 | — | 236 | 4 | no | — |
| 316 | Q8 | — | 236 | 4 | no | — |
| 317 | D4 | — | 118 | 4 | no | — |
| 318 | D4 | — | 236 | 2 | no | — |
| 319 | C2×C4 | — | 2 | 2 | no | — |
| 320 | C2×C4 | — | 2 | 2 | no | — |
| 321 | C2×C4 | — | 2 | 2 | no | — |
| 322 | C2×C4 | — | 2 | 2 | no | — |
| 323 | C2×C4 | — | 2 | 2 | no | — |
| 324 | C2×C4 | — | 4 | 1 | no | — |
| 325 | C2×C4 | — | 4 | 2 | no | — |
| 326 | C2×C4 | — | 118 | 4 | no | — |
| 327 | C2×C4 | — | 118 | 4 | no | — |
| 328 | C2×C4 | — | 472 | 2 | no | — |
| 329 | C2×C4 | — | 472 | 2 | no | — |
| 330 | C2×C4 | — | 236 | 2 | no | — |
| 331 | C2×C4 | — | 236 | 2 | no | — |
| 332 | C2×C4 | — | 236 | 2 | no | — |
| 333 | C2×C4 | — | 236 | 1 | no | — |
| 334 | C2×C4 | — | 236 | 2 | no | — |
| 335 | C2×C4 | #14273697 | 1 | 1 | yes | characteristic |
| 336 | C2×C4 | #14273697 | 1 | 2 | yes | — |
| 337 | C2×C4 | #14273697 | 1 | 1 | yes | characteristic |
| 338 | C2×C4 | #14273760 | 1 | 4 | yes | — |
| 339 | C2×C4 | C2×D4×D59 | 1 | 2 | yes | — |
| 340 | C8 | — | 4 | 4 | no | — |
| 341 | C22 | — | 2 | 1 | no | — |
| 342 | C22 | — | 2 | 1 | no | — |
| 343 | C22 | — | 472 | 2 | no | — |
| 344 | C22 | — | 472 | 1 | no | — |
| 345 | C22 | — | 472 | 1 | no | — |
| 346 | C22 | — | 236 | 4 | no | — |
| 347 | C22 | — | 236 | 2 | no | — |
| 348 | C22 | C2×#14273697 | 1 | 1 | yes | characteristic |
| 349 | C22 | C2×#14273760 | 1 | 2 | yes | — |
| 350 | C4 | — | 2 | 1 | no | — |
| 351 | C4 | — | 2 | 2 | no | — |
| 352 | C4 | — | 2 | 2 | no | — |
| 353 | C4 | — | 2 | 4 | no | — |
| 354 | C4 | — | 4 | 2 | no | — |
| 355 | C4 | — | 472 | 2 | no | — |
| 356 | C4 | — | 472 | 1 | no | — |
| 357 | C4 | — | 236 | 4 | no | — |
| 358 | C4 | — | 236 | 4 | no | — |
| 359 | C4 | #16837577 | 1 | 2 | yes | — |
| 360 | C2 | — | 2 | 2 | no | — |
| 361 | C2 | — | 472 | 2 | no | — |
| 362 | C2 | #21433333 | 1 | 1 | yes | characteristic |
| 363 | C2 | C2×#16837577 | 1 | 1 | yes | characteristic |
| 364 | C2 | #21433490 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21437906 | C2 | semidirect |
| 4. #21423140 | C2 | semidirect |
| 6. #21422609 | C2 | semidirect |
| 7. C59×#1467 | C2 | semidirect |
| 184. #1467 | D59 | semidirect |
| 214. C59 | #18188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21437906 | 2 |
| #21434196 | 2 |
| #21427379 | 2 |
| #21423140 | 2 |
| #21423038 | 2 |
| #21422609 | 2 |
| C59×#1467 | 2 |
| #18188 | 59 |