Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1066 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 1066 conjugacy classes of subgroups — too many to draw. Only its 155 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 | C2×#16840504 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #21456824 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #21456205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21445127 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #21444418 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C61×#1533 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #16840504 | — | 2 | 4 | no | — |
| 8 | #16840504 | — | 2 | 2 | no | — |
| 9 | #16840504 | C22 | 1 | 4 | yes | — |
| 10 | #16840319 | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | C2×#14519766 | — | 2 | 1 | no | — |
| 12 | C2×#14519765 | C22 | 1 | 2 | yes | — |
| 13 | C2×#14519763 | — | 2 | 2 | no | — |
| 14 | C2×#14519747 | — | 2 | 2 | no | — |
| 15 | C2×#14519745 | — | 2 | 1 | no | — |
| 16 | #16840156 | C22 | 1 | 4 | yes | complemented |
| 17 | #16840122 | C22 | 1 | 4 | yes | complemented |
| 18 | #16840121 | C22 | 1 | 4 | yes | complemented |
| 19 | #16840116 | — | 2 | 2 | no | — |
| 20 | #16839985 | — | 2 | 4 | no | — |
| 21 | #16839920 | — | 2 | 2 | no | — |
| 22 | #16839915 | — | 2 | 2 | no | — |
| 23 | #16839771 | — | 2 | 1 | no | — |
| 24 | #16839767 | — | 2 | 1 | no | — |
| 25 | C4×#11758194 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #16839501 | C22 | 1 | 8 | yes | complemented |
| 27 | C2×#124×C61 | C22 | 1 | 1 | yes | characteristic |
| 28 | C61×#432 | C22 | 1 | 2 | yes | complemented |
| 29 | C61×#329 | C22 | 1 | 4 | yes | complemented |
| 30 | C24×D61 | — | 2 | 1 | no | — |
| 31 | C22×Dic122 | D4 | 1 | 2 | yes | — |
| 32 | C22×D244 | — | 2 | 1 | no | — |
| 33 | C22×D244 | D4 | 1 | 2 | yes | — |
| 34 | C22×C22⋊D61 | — | 2 | 2 | no | — |
| 35 | C2×Dic244 | — | 2 | 4 | no | — |
| 36 | C2×#11758190 | — | 2 | 4 | no | — |
| 37 | C2×#11758194 | — | 2 | 1 | no | — |
| 38 | #14519777 | C23 | 1 | 2 | yes | complemented |
| 39 | #14519769 | — | 2 | 1 | no | — |
| 40 | #14519766 | — | 2 | 4 | no | — |
| 41 | #14519766 | — | 2 | 4 | no | — |
| 42 | #14519765 | — | 2 | 2 | no | — |
| 43 | #14519765 | — | 2 | 2 | no | — |
| 44 | #14519765 | D4 | 1 | 4 | yes | — |
| 45 | #14519765 | C23 | 1 | 4 | yes | — |
| 46 | #14519763 | — | 2 | 8 | no | — |
| 47 | #14519763 | — | 2 | 8 | no | — |
| 48 | #14519756 | — | 2 | 2 | no | — |
| 49 | #14519747 | — | 2 | 8 | no | — |
| 50 | #14519747 | — | 2 | 8 | no | — |
| 51 | #14519745 | — | 2 | 4 | no | — |
| 52 | #14519745 | — | 2 | 4 | no | — |
| 53 | C4×Dic122 | — | 2 | 2 | no | — |
| 54 | #14519736 | — | 2 | 1 | no | — |
| 55 | C2×C22⋊Dic61 | — | 2 | 1 | no | — |
| 56 | C2×#11758198 | — | 2 | 2 | no | — |
| 57 | C2×#11758198 | — | 2 | 2 | no | — |
| 58 | C2×#11758198 | — | 2 | 2 | no | — |
| 59 | C2×C4×Dic61 | — | 2 | 1 | no | — |
| 60 | #14519702 | — | 2 | 4 | no | — |
| 61 | #14519701 | — | 2 | 4 | no | — |
| 62 | #14519699 | — | 2 | 4 | no | — |
| 63 | #14519698 | — | 2 | 4 | no | — |
| 64 | #14519688 | C23 | 1 | 2 | yes | complemented |
| 65 | C4×#92418 | — | 2 | 1 | no | — |
| 66 | C22×Q8×C61 | D4 | 1 | 1 | yes | characteristic |
| 67 | C22×D4×C61 | D4 | 1 | 1 | yes | characteristic |
| 68 | #124×C61 | — | 2 | 2 | no | — |
| 69 | #124×C61 | D4 | 1 | 2 | yes | — |
| 70 | #124×C61 | C23 | 1 | 2 | yes | — |
| 71 | C2×C22⋊C4×C61 | — | 2 | 2 | no | — |
| 72 | C2×C42×C61 | C23 | 1 | 1 | yes | characteristic |
| 73 | C4⋊C8×C61 | — | 2 | 2 | no | — |
| 74 | C22⋊C8×C61 | — | 2 | 2 | no | — |
| 75 | #97×C61 | C23 | 1 | 4 | yes | complemented |
| 76 | C24×C61 | — | 2 | 1 | no | — |
| 77 | C23×D61 | — | 2 | 2 | no | — |
| 78 | C23×D61 | — | 2 | 4 | no | — |
| 79 | C23×D61 | — | 8 | 4 | no | — |
| 80 | C23×D61 | — | 8 | 2 | no | — |
| 81 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 82 | C2×Q8×C61 | — | 4 | 2 | no | — |
| 83 | C2×Q8×C61 | C2×D4 | 1 | 2 | yes | — |
| 84 | C2×D4×C61 | — | 2 | 1 | no | — |
| 85 | C2×D4×C61 | — | 4 | 2 | no | — |
| 86 | C2×D4×C61 | C2×D4 | 1 | 2 | yes | — |
| 87 | C22×C4×C61 | — | 2 | 1 | no | — |
| 88 | C22×C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 89 | C22×C4×C61 | C2×D4 | 1 | 2 | yes | — |
| 90 | C2×C22⋊D61 | — | 2 | 8 | no | — |
| 91 | C2×C22⋊D61 | — | 8 | 4 | no | — |
| 92 | C22×Dic61 | — | 2 | 2 | no | — |
| 93 | C2×D244 | — | 2 | 4 | no | — |
| 94 | C2×D244 | — | 2 | 2 | no | — |
| 95 | C2×D244 | — | 8 | 2 | no | — |
| 96 | C2×D244 | — | 8 | 2 | no | — |
| 97 | C2×D244 | C2×D4 | 1 | 4 | yes | — |
| 98 | C2×Dic122 | — | 2 | 2 | no | — |
| 99 | C2×Dic122 | — | 2 | 2 | no | — |
| 100 | C2×Dic122 | — | 8 | 2 | no | — |
| 101 | C2×Dic122 | C2×D4 | 1 | 4 | yes | — |
| 102 | C2×C8×C61 | — | 2 | 4 | no | — |
| 103 | C22⋊C4×C61 | — | 2 | 4 | no | — |
| 104 | C22⋊C4×C61 | — | 2 | 4 | no | — |
| 105 | C42×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C42×C61 | C2×D4 | 1 | 2 | yes | — |
| 107 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 108 | C22⋊Dic61 | — | 2 | 4 | no | — |
| 109 | C22⋊Dic61 | — | 4 | 1 | no | — |
| 110 | #11758198 | — | 2 | 8 | no | — |
| 111 | #11758198 | — | 2 | 4 | no | — |
| 112 | #11758198 | — | 2 | 4 | no | — |
| 113 | #11758198 | — | 2 | 4 | no | — |
| 114 | #11758198 | — | 2 | 4 | no | — |
| 115 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 116 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 117 | #11758196 | — | 4 | 2 | no | — |
| 118 | C4×Dic61 | — | 2 | 4 | no | — |
| 119 | C4×Dic61 | — | 4 | 1 | no | — |
| 120 | #11758194 | — | 4 | 2 | no | — |
| 121 | C2×#92418 | — | 2 | 2 | no | — |
| 122 | Dic244 | — | 8 | 4 | no | — |
| 123 | #11758190 | — | 8 | 4 | no | — |
| 124 | C23×C61 | — | 2 | 2 | no | — |
| 125 | C23×C61 | — | 4 | 4 | no | — |
| 126 | C23×C61 | — | 4 | 2 | no | — |
| 127 | C23×C61 | #120 | 1 | 1 | yes | characteristic |
| 128 | C22×D61 | — | 2 | 4 | no | — |
| 129 | C22×D61 | — | 4 | 4 | no | — |
| 130 | C22×D61 | — | 4 | 4 | no | — |
| 131 | C22×D61 | — | 4 | 4 | no | — |
| 132 | C22×D61 | — | 8 | 4 | no | — |
| 133 | C22×D61 | — | 8 | 8 | no | — |
| 134 | C22×D61 | — | 8 | 16 | no | — |
| 135 | Q8×C61 | — | 4 | 2 | no | — |
| 136 | Q8×C61 | — | 8 | 1 | no | — |
| 137 | D4×C61 | — | 4 | 2 | no | — |
| 138 | D4×C61 | — | 8 | 1 | no | — |
| 139 | C2×C4×C61 | — | 2 | 2 | no | — |
| 140 | C2×C4×C61 | — | 2 | 2 | no | — |
| 141 | C2×C4×C61 | — | 4 | 2 | no | — |
| 142 | C2×C4×C61 | — | 4 | 2 | no | — |
| 143 | C2×C4×C61 | #120 | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C61 | #120 | 1 | 2 | yes | — |
| 145 | C2×C4×C61 | C22×D4 | 1 | 2 | yes | — |
| 146 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 147 | C22⋊D61 | — | 8 | 8 | no | — |
| 148 | C2×Dic61 | — | 2 | 4 | no | — |
| 149 | C2×Dic61 | — | 4 | 4 | no | — |
| 150 | C2×Dic61 | — | 4 | 2 | no | — |
| 151 | D244 | — | 4 | 4 | no | — |
| 152 | D244 | — | 8 | 2 | no | — |
| 153 | D244 | — | 8 | 4 | no | — |
| 154 | Dic122 | — | 4 | 4 | no | — |
| 155 | Dic122 | — | 4 | 4 | no | — |
| 156 | Dic122 | — | 8 | 2 | no | — |
| 157 | C8×C61 | — | 4 | 4 | no | — |
| 158 | #92418 | — | 4 | 2 | no | — |
| 159 | #18997 | — | 61 | 1 | no | maximal, Sylow |
| 160 | C22×C61 | — | 2 | 2 | no | — |
| 161 | C22×C61 | — | 4 | 2 | no | — |
| 162 | C22×C61 | — | 4 | 4 | no | — |
| 163 | C22×C61 | — | 8 | 4 | no | — |
| 164 | C22×C61 | #455 | 1 | 2 | yes | — |
| 165 | C22×C61 | C2×#120 | 1 | 1 | yes | characteristic |
| 166 | C2×D61 | — | 4 | 4 | no | — |
| 167 | C2×D61 | — | 4 | 4 | no | — |
| 168 | C2×D61 | — | 4 | 4 | no | — |
| 169 | C2×D61 | — | 8 | 8 | no | — |
| 170 | C2×D61 | — | 8 | 16 | no | — |
| 171 | C4×C61 | — | 2 | 1 | no | — |
| 172 | C4×C61 | — | 2 | 1 | no | — |
| 173 | C4×C61 | — | 2 | 2 | no | — |
| 174 | C4×C61 | — | 2 | 2 | no | — |
| 175 | C4×C61 | — | 4 | 2 | no | — |
| 176 | Dic61 | — | 4 | 4 | no | — |
| 177 | Dic61 | — | 8 | 2 | no | — |
| 178 | C2×H(3,𝔽4) | — | 61 | 1 | no | — |
| 179 | #3215 | — | 61 | 2 | no | — |
| 180 | #3140 | — | 61 | 1 | no | — |
| 181 | #1659 | — | 61 | 8 | no | — |
| 182 | #1533 | D61 | 1 | 1 | yes | characteristic, complemented |
| 183 | #1527 | — | 61 | 2 | no | — |
| 184 | C2×C61 | — | 2 | 2 | no | — |
| 185 | C2×C61 | — | 8 | 2 | no | — |
| 186 | C2×C61 | C2×#455 | 1 | 1 | yes | characteristic |
| 187 | C2×C61 | #3019 | 1 | 2 | yes | — |
| 188 | D61 | — | 8 | 4 | no | — |
| 189 | H(3,𝔽4) | — | 61 | 4 | no | — |
| 190 | H(3,𝔽4) | — | 122 | 4 | no | — |
| 191 | H(3,𝔽4) | — | 122 | 2 | no | — |
| 192 | #533 | — | 61 | 1 | no | — |
| 193 | C2×#124 | — | 61 | 2 | no | — |
| 194 | C2×#124 | — | 122 | 2 | no | — |
| 195 | C2×#124 | — | 122 | 1 | no | — |
| 196 | C2×#124 | C2×D61 | 1 | 1 | yes | characteristic |
| 197 | C2×#120 | — | 122 | 2 | no | — |
| 198 | C2×#120 | — | 122 | 1 | no | — |
| 199 | #497 | — | 61 | 4 | no | — |
| 200 | #489 | — | 61 | 4 | no | — |
| 201 | #489 | — | 61 | 4 | no | — |
| 202 | #488 | — | 122 | 2 | no | — |
| 203 | #464 | — | 122 | 4 | no | — |
| 204 | #451 | — | 122 | 2 | no | — |
| 205 | #450 | — | 122 | 2 | no | — |
| 206 | #432 | C2×D61 | 1 | 2 | yes | complemented |
| 207 | #419 | — | 122 | 1 | no | — |
| 208 | #418 | — | 122 | 1 | no | — |
| 209 | C4×M16 | — | 61 | 1 | no | — |
| 210 | #329 | — | 61 | 8 | no | — |
| 211 | #329 | C2×D61 | 1 | 4 | yes | complemented |
| 212 | C61 | #18997 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 213 | C25 | — | 122 | 1 | no | — |
| 214 | C22×Q8 | — | 61 | 2 | no | — |
| 215 | C22×Q8 | D244 | 1 | 1 | yes | characteristic |
| 216 | C22×D4 | — | 61 | 2 | no | — |
| 217 | C22×D4 | — | 122 | 1 | no | — |
| 218 | C22×D4 | — | 122 | 2 | no | — |
| 219 | C22×D4 | D244 | 1 | 1 | yes | characteristic |
| 220 | C2×Q16 | — | 122 | 4 | no | — |
| 221 | C2×SD16 | — | 122 | 4 | no | — |
| 222 | C2×M16 | — | 122 | 1 | no | — |
| 223 | C4⋊Q8 | — | 61 | 2 | no | — |
| 224 | #125 | — | 122 | 1 | no | — |
| 225 | #124 | — | 2 | 2 | no | — |
| 226 | #124 | — | 61 | 4 | no | — |
| 227 | #124 | — | 61 | 4 | no | — |
| 228 | #124 | — | 122 | 8 | no | — |
| 229 | #124 | — | 122 | 8 | no | — |
| 230 | #124 | — | 122 | 4 | no | — |
| 231 | #124 | — | 122 | 4 | no | — |
| 232 | #124 | — | 122 | 2 | no | — |
| 233 | #124 | — | 122 | 2 | no | — |
| 234 | #124 | D244 | 1 | 2 | yes | — |
| 235 | #124 | C22×D61 | 1 | 2 | yes | — |
| 236 | C22⋊Q8 | — | 122 | 2 | no | — |
| 237 | #120 | — | 122 | 8 | no | — |
| 238 | #120 | — | 122 | 8 | no | — |
| 239 | #120 | — | 122 | 4 | no | — |
| 240 | #120 | — | 122 | 4 | no | — |
| 241 | C4×Q8 | — | 122 | 2 | no | — |
| 242 | #117 | — | 122 | 1 | no | — |
| 243 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 244 | C2×C22⋊C4 | — | 122 | 2 | no | — |
| 245 | C2×C22⋊C4 | — | 122 | 1 | no | — |
| 246 | C2×C22⋊C4 | — | 122 | 2 | no | — |
| 247 | C2×C22⋊C4 | — | 122 | 2 | no | — |
| 248 | C2×C42 | — | 122 | 1 | no | — |
| 249 | C2×C42 | C22×D61 | 1 | 1 | yes | characteristic |
| 250 | C4⋊C8 | — | 2 | 2 | no | — |
| 251 | #103 | — | 122 | 4 | no | — |
| 252 | #103 | — | 122 | 4 | no | — |
| 253 | #102 | — | 122 | 4 | no | — |
| 254 | #102 | — | 122 | 4 | no | — |
| 255 | C22⋊C8 | — | 2 | 2 | no | — |
| 256 | #97 | — | 61 | 2 | no | — |
| 257 | #97 | C22×D61 | 1 | 4 | yes | complemented |
| 258 | C4×C8 | — | 122 | 1 | no | — |
| 259 | C24 | — | 2 | 1 | no | — |
| 260 | C24 | — | 122 | 4 | no | — |
| 261 | C24 | — | 122 | 2 | no | — |
| 262 | C24 | — | 488 | 4 | no | — |
| 263 | C24 | — | 488 | 2 | no | — |
| 264 | C2×Q8 | — | 2 | 1 | no | — |
| 265 | C2×Q8 | — | 4 | 2 | no | — |
| 266 | C2×Q8 | — | 61 | 4 | no | — |
| 267 | C2×Q8 | — | 122 | 2 | no | — |
| 268 | C2×Q8 | — | 122 | 2 | no | — |
| 269 | C2×Q8 | — | 488 | 2 | no | — |
| 270 | C2×Q8 | C2×D244 | 1 | 2 | yes | — |
| 271 | C2×D4 | — | 2 | 1 | no | — |
| 272 | C2×D4 | — | 4 | 2 | no | — |
| 273 | C2×D4 | — | 61 | 4 | no | — |
| 274 | C2×D4 | — | 122 | 4 | no | — |
| 275 | C2×D4 | — | 122 | 8 | no | — |
| 276 | C2×D4 | — | 122 | 2 | no | — |
| 277 | C2×D4 | — | 488 | 2 | no | — |
| 278 | C2×D4 | — | 488 | 2 | no | — |
| 279 | C2×D4 | — | 488 | 4 | no | — |
| 280 | C2×D4 | C2×D244 | 1 | 2 | yes | — |
| 281 | C22×C4 | — | 2 | 1 | no | — |
| 282 | C22×C4 | — | 122 | 2 | no | — |
| 283 | C22×C4 | C2×D244 | 1 | 1 | yes | characteristic |
| 284 | C22×C4 | D4×D61 | 1 | 2 | yes | — |
| 285 | Q16 | — | 488 | 4 | no | — |
| 286 | SD16 | — | 488 | 4 | no | — |
| 287 | M16 | — | 244 | 2 | no | — |
| 288 | C2×C8 | — | 2 | 4 | no | — |
| 289 | C2×C8 | — | 122 | 2 | no | — |
| 290 | C4⋊C4 | — | 122 | 2 | no | — |
| 291 | C4⋊C4 | — | 122 | 2 | no | — |
| 292 | C4⋊C4 | — | 244 | 2 | no | — |
| 293 | C22⋊C4 | — | 2 | 4 | no | — |
| 294 | C22⋊C4 | — | 2 | 4 | no | — |
| 295 | C22⋊C4 | — | 122 | 8 | no | — |
| 296 | C22⋊C4 | — | 122 | 4 | no | — |
| 297 | C22⋊C4 | — | 122 | 4 | no | — |
| 298 | C22⋊C4 | — | 122 | 4 | no | — |
| 299 | C22⋊C4 | — | 122 | 4 | no | — |
| 300 | C22⋊C4 | — | 122 | 4 | no | — |
| 301 | C22⋊C4 | — | 244 | 1 | no | — |
| 302 | C42 | — | 122 | 4 | no | — |
| 303 | C42 | — | 244 | 1 | no | — |
| 304 | C42 | C2×D244 | 1 | 1 | yes | characteristic |
| 305 | C42 | D4×D61 | 1 | 2 | yes | — |
| 306 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 307 | C23 | — | 2 | 2 | no | — |
| 308 | C23 | — | 4 | 4 | no | — |
| 309 | C23 | — | 4 | 2 | no | — |
| 310 | C23 | — | 122 | 4 | no | — |
| 311 | C23 | — | 488 | 4 | no | — |
| 312 | C23 | — | 488 | 8 | no | — |
| 313 | C23 | — | 488 | 16 | no | — |
| 314 | C23 | — | 244 | 4 | no | — |
| 315 | C23 | — | 244 | 4 | no | — |
| 316 | C23 | — | 244 | 4 | no | — |
| 317 | C23 | #14519747 | 1 | 1 | yes | characteristic |
| 318 | Q8 | — | 4 | 2 | no | — |
| 319 | Q8 | — | 8 | 1 | no | — |
| 320 | Q8 | — | 488 | 2 | no | — |
| 321 | Q8 | — | 244 | 4 | no | — |
| 322 | Q8 | — | 244 | 4 | no | — |
| 323 | D4 | — | 4 | 2 | no | — |
| 324 | D4 | — | 8 | 1 | no | — |
| 325 | D4 | — | 488 | 2 | no | — |
| 326 | D4 | — | 488 | 4 | no | — |
| 327 | D4 | — | 488 | 8 | no | — |
| 328 | D4 | — | 244 | 4 | no | — |
| 329 | C2×C4 | — | 2 | 2 | no | — |
| 330 | C2×C4 | — | 2 | 2 | no | — |
| 331 | C2×C4 | — | 4 | 2 | no | — |
| 332 | C2×C4 | — | 4 | 2 | no | — |
| 333 | C2×C4 | — | 122 | 4 | no | — |
| 334 | C2×C4 | — | 244 | 2 | no | — |
| 335 | C2×C4 | — | 244 | 4 | no | — |
| 336 | C2×C4 | #14519747 | 1 | 1 | yes | characteristic |
| 337 | C2×C4 | #14519747 | 1 | 2 | yes | — |
| 338 | C2×C4 | C2×D4×D61 | 1 | 2 | yes | — |
| 339 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 340 | C8 | — | 4 | 4 | no | — |
| 341 | C8 | — | 244 | 2 | no | — |
| 342 | C22 | — | 2 | 2 | no | — |
| 343 | C22 | — | 4 | 2 | no | — |
| 344 | C22 | — | 4 | 4 | no | — |
| 345 | C22 | — | 8 | 4 | no | — |
| 346 | C22 | — | 488 | 8 | no | — |
| 347 | C22 | — | 488 | 16 | no | — |
| 348 | C22 | — | 244 | 4 | no | — |
| 349 | C22 | — | 244 | 4 | no | — |
| 350 | C22 | — | 244 | 4 | no | — |
| 351 | C22 | #16839942 | 1 | 2 | yes | — |
| 352 | C22 | C2×#14519747 | 1 | 1 | yes | characteristic |
| 353 | C4 | — | 2 | 1 | no | — |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 2 | 2 | no | — |
| 356 | C4 | — | 2 | 2 | no | — |
| 357 | C4 | — | 4 | 2 | no | — |
| 358 | C4 | — | 488 | 2 | no | — |
| 359 | C4 | — | 244 | 4 | no | — |
| 360 | C2 | — | 2 | 2 | no | — |
| 361 | C2 | — | 8 | 2 | no | — |
| 362 | C2 | — | 488 | 4 | no | — |
| 363 | C2 | C2×#16839942 | 1 | 1 | yes | characteristic |
| 364 | C2 | #21455178 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #21456824 | C2 | semidirect |
| 3. #21456205 | C2 | semidirect |
| 4. #21445127 | C2 | semidirect |
| 5. #21444418 | C2 | semidirect |
| 6. C61×#1533 | C2 | semidirect |
| 10. #16840319 | C22 | semidirect |
| 16. #16840156 | C22 | semidirect |
| 17. #16840122 | C22 | semidirect |
| 18. #16840121 | C22 | semidirect |
| 25. C4×#11758194 | C22 | semidirect |
| 26. #16839501 | C22 | semidirect |
| 28. C61×#432 | C22 | semidirect |
| 29. C61×#329 | C22 | semidirect |
| 38. #14519777 | C23 | semidirect |
| 64. #14519688 | C23 | semidirect |
| 75. #97×C61 | C23 | semidirect |
| 182. #1533 | D61 | semidirect |
| 206. #432 | C2×D61 | semidirect |
| 211. #329 | C2×D61 | semidirect |
| 212. C61 | #18997 | semidirect |
| 257. #97 | C22×D61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840504 | 2 |
| #21456824 | 2 |
| #21456205 | 2 |
| #21445127 | 2 |
| #21444418 | 2 |
| C61×#1533 | 2 |
| #18997 | 61 |