Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
880 conjugacy classes of subgroups.
The subgroup lattice has 484 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #21462599 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #21462597 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #21461978 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #21461977 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21461823 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #21461821 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #21461820 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #21461625 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #21456263 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #16840842 | C22 | 1 | 2 | yes | — |
| 11 | #16840842 | C22 | 1 | 1 | yes | characteristic |
| 12 | #16840840 | C22 | 1 | 1 | yes | characteristic |
| 13 | #16840808 | — | 2 | 4 | no | — |
| 14 | #16840807 | — | 2 | 4 | no | — |
| 15 | #16840806 | — | 2 | 4 | no | — |
| 16 | #16840805 | — | 2 | 4 | no | — |
| 17 | D61⋊#108 | C22 | 1 | 2 | yes | — |
| 18 | #16840772 | C22 | 1 | 2 | yes | — |
| 19 | #16840761 | C22 | 1 | 2 | yes | — |
| 20 | #16840761 | C22 | 1 | 2 | yes | — |
| 21 | #16840761 | C22 | 1 | 2 | yes | — |
| 22 | #16840760 | C22 | 1 | 2 | yes | — |
| 23 | #16840743 | C22 | 1 | 2 | yes | — |
| 24 | #16840743 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16840742 | C22 | 1 | 1 | yes | characteristic |
| 26 | #16840725 | C22 | 1 | 2 | yes | — |
| 27 | #16840725 | C22 | 1 | 2 | yes | — |
| 28 | #16840633 | C22 | 1 | 2 | yes | — |
| 29 | #16840633 | C22 | 1 | 2 | yes | — |
| 30 | C2×#14519800 | C22 | 1 | 2 | yes | — |
| 31 | C2×#14519798 | C22 | 1 | 2 | yes | — |
| 32 | #16840313 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16840311 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16840155 | C4 | 1 | 2 | yes | complemented |
| 35 | #16840154 | C4 | 1 | 1 | yes | characteristic, complemented |
| 36 | #16840152 | C4 | 1 | 1 | yes | characteristic, complemented |
| 37 | #16840151 | C4 | 1 | 1 | yes | characteristic, complemented |
| 38 | #16840148 | C4 | 1 | 2 | yes | complemented |
| 39 | #97×D61 | C22 | 1 | 1 | yes | characteristic |
| 40 | C61×#497 | C4 | 1 | 1 | yes | characteristic, complemented |
| 41 | #14519865 | — | 2 | 4 | no | — |
| 42 | #14519865 | — | 2 | 4 | no | — |
| 43 | #14519865 | — | 2 | 4 | no | — |
| 44 | #14519864 | — | 2 | 4 | no | — |
| 45 | D61⋊M16 | — | 4 | 2 | no | — |
| 46 | D61⋊M16 | — | 4 | 1 | no | — |
| 47 | D61⋊M16 | C23 | 1 | 2 | yes | — |
| 48 | D61⋊M16 | C23 | 1 | 2 | yes | — |
| 49 | C2×#11758217 | — | 4 | 1 | no | — |
| 50 | #14519856 | C23 | 1 | 2 | yes | — |
| 51 | #14519856 | C23 | 1 | 2 | yes | — |
| 52 | #14519848 | D4 | 1 | 4 | yes | complemented |
| 53 | #14519847 | D4 | 1 | 4 | yes | complemented |
| 54 | #14519846 | — | 2 | 2 | no | — |
| 55 | #14519845 | — | 2 | 2 | no | — |
| 56 | #14519842 | — | 2 | 4 | no | — |
| 57 | #14519842 | — | 2 | 4 | no | — |
| 58 | #14519842 | — | 2 | 4 | no | — |
| 59 | #14519841 | — | 2 | 4 | no | — |
| 60 | #14519836 | — | 4 | 2 | no | — |
| 61 | #14519836 | — | 4 | 1 | no | — |
| 62 | #14519835 | — | 4 | 1 | no | — |
| 63 | #14519831 | — | 2 | 2 | no | — |
| 64 | #14519831 | — | 2 | 2 | no | — |
| 65 | C8×#6923 | — | 2 | 2 | no | — |
| 66 | C8×#6923 | — | 2 | 2 | no | — |
| 67 | C2×#11758226 | C23 | 1 | 2 | yes | — |
| 68 | C2×#11758226 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×#11758224 | C23 | 1 | 1 | yes | characteristic |
| 70 | #14519800 | — | 2 | 2 | no | — |
| 71 | #14519800 | — | 2 | 2 | no | — |
| 72 | #14519800 | — | 2 | 2 | no | — |
| 73 | #14519800 | — | 2 | 2 | no | — |
| 74 | #14519798 | — | 2 | 2 | no | — |
| 75 | #14519798 | — | 2 | 2 | no | — |
| 76 | #14519798 | — | 2 | 2 | no | — |
| 77 | #14519798 | — | 2 | 2 | no | — |
| 78 | C2×#11758202 | C2×C4 | 1 | 2 | yes | — |
| 79 | C2×#11758190 | C2×C4 | 1 | 2 | yes | — |
| 80 | C2×#11758201 | C2×C4 | 1 | 2 | yes | — |
| 81 | C2×#11758201 | C2×C4 | 1 | 2 | yes | — |
| 82 | C2×D488 | C2×C4 | 1 | 2 | yes | — |
| 83 | C2×#11758199 | C2×C4 | 1 | 2 | yes | — |
| 84 | C2×C8×D61 | C23 | 1 | 2 | yes | — |
| 85 | #14519775 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | #14519774 | C2×C4 | 1 | 1 | yes | characteristic |
| 87 | #14519773 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #14519766 | C2×C4 | 1 | 2 | yes | — |
| 89 | #14519765 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | #14519752 | — | 4 | 1 | no | — |
| 91 | #14519750 | — | 4 | 1 | no | — |
| 92 | #14519739 | — | 4 | 1 | no | — |
| 93 | #14519737 | — | 4 | 1 | no | — |
| 94 | C42×D61 | C23 | 1 | 1 | yes | characteristic |
| 95 | #14519688 | C2×C4 | 1 | 1 | yes | characteristic |
| 96 | #14519687 | C2×C4 | 1 | 2 | yes | — |
| 97 | C2×Q16×C61 | C2×C4 | 1 | 2 | yes | — |
| 98 | C2×SD16×C61 | C2×C4 | 1 | 2 | yes | — |
| 99 | C4⋊Q8×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 100 | #124×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 101 | #97×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 102 | C2×Q8×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 103 | C2×Q8×C61 | C22×C4 | 1 | 2 | yes | — |
| 104 | C2×D4×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 105 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 106 | C2×C22⋊D61 | — | 4 | 1 | no | — |
| 107 | C22×Dic61 | — | 2 | 1 | no | — |
| 108 | #11758226 | — | 2 | 2 | no | — |
| 109 | #11758226 | — | 2 | 2 | no | — |
| 110 | #11758226 | — | 2 | 2 | no | — |
| 111 | #11758226 | — | 2 | 2 | no | — |
| 112 | #11758226 | — | 2 | 2 | no | — |
| 113 | #11758226 | — | 2 | 2 | no | — |
| 114 | #11758224 | — | 2 | 2 | no | — |
| 115 | #11758224 | — | 2 | 2 | no | — |
| 116 | C2×D244 | — | 2 | 1 | no | — |
| 117 | C2×D244 | — | 2 | 2 | no | — |
| 118 | C2×D244 | — | 4 | 1 | no | — |
| 119 | C2×D244 | C22×C4 | 1 | 1 | yes | characteristic |
| 120 | C2×D244 | C22×C4 | 1 | 2 | yes | — |
| 121 | C2×C4×D61 | — | 2 | 1 | no | — |
| 122 | C2×C4×D61 | — | 2 | 2 | no | — |
| 123 | C2×C4×D61 | — | 2 | 1 | no | — |
| 124 | C2×C4×D61 | C24 | 1 | 1 | yes | characteristic |
| 125 | C2×Dic122 | C22×C4 | 1 | 1 | yes | characteristic |
| 126 | C22⋊#6923 | — | 2 | 2 | no | — |
| 127 | C22⋊#6923 | — | 2 | 2 | no | — |
| 128 | #11758217 | — | 2 | 2 | no | — |
| 129 | #11758217 | — | 2 | 2 | no | — |
| 130 | #11758217 | — | 4 | 2 | no | — |
| 131 | C2×#92420 | — | 4 | 2 | no | — |
| 132 | C4⋊#6923 | — | 2 | 2 | no | — |
| 133 | C4⋊#6923 | — | 2 | 2 | no | — |
| 134 | C4×#6923 | — | 2 | 2 | no | — |
| 135 | C4×#6923 | — | 2 | 2 | no | — |
| 136 | #11758213 | — | 4 | 2 | no | — |
| 137 | #11758213 | — | 4 | 4 | no | — |
| 138 | #11758213 | C2×D4 | 1 | 4 | yes | — |
| 139 | #11758213 | C2×D4 | 1 | 4 | yes | — |
| 140 | D61⋊C8 | — | 2 | 2 | no | — |
| 141 | D61⋊C8 | — | 2 | 2 | no | — |
| 142 | D61⋊C8 | — | 4 | 2 | no | — |
| 143 | D61⋊C8 | — | 4 | 4 | no | — |
| 144 | Q16×C61 | — | 2 | 2 | no | — |
| 145 | Q16×C61 | — | 2 | 2 | no | — |
| 146 | SD16×C61 | — | 2 | 2 | no | — |
| 147 | SD16×C61 | — | 2 | 2 | no | — |
| 148 | C2×C8×C61 | C22×C4 | 1 | 2 | yes | — |
| 149 | C4⋊C4×C61 | — | 4 | 1 | no | — |
| 150 | C22⋊C4×C61 | — | 4 | 1 | no | — |
| 151 | C42×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 152 | #11758202 | — | 2 | 2 | no | — |
| 153 | #11758202 | — | 2 | 2 | no | — |
| 154 | #11758201 | — | 2 | 2 | no | — |
| 155 | #11758201 | — | 2 | 2 | no | — |
| 156 | #11758201 | — | 2 | 2 | no | — |
| 157 | #11758201 | — | 2 | 2 | no | — |
| 158 | #11758199 | — | 2 | 2 | no | — |
| 159 | #11758199 | — | 2 | 2 | no | — |
| 160 | #11758198 | — | 4 | 1 | no | — |
| 161 | #11758198 | — | 4 | 2 | no | — |
| 162 | #11758196 | — | 4 | 1 | no | — |
| 163 | C4×Dic61 | — | 2 | 1 | no | — |
| 164 | C4×Dic61 | C22×C4 | 1 | 1 | yes | characteristic |
| 165 | C2×#92418 | C22×C4 | 1 | 2 | yes | — |
| 166 | D488 | — | 2 | 2 | no | — |
| 167 | D488 | — | 2 | 2 | no | — |
| 168 | #11758190 | — | 2 | 2 | no | — |
| 169 | #11758190 | — | 2 | 2 | no | — |
| 170 | C8×D61 | C2×D4 | 1 | 2 | yes | — |
| 171 | C8×D61 | C2×D4 | 1 | 2 | yes | — |
| 172 | C8×D61 | #41 | 1 | 2 | yes | — |
| 173 | C8×D61 | #41 | 1 | 2 | yes | — |
| 174 | C23×C61 | — | 2 | 1 | no | — |
| 175 | C22×D61 | — | 2 | 2 | no | — |
| 176 | C22×D61 | — | 2 | 1 | no | — |
| 177 | C22×D61 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 178 | C2×#6923 | — | 4 | 2 | no | — |
| 179 | C2×#6923 | — | 4 | 2 | no | — |
| 180 | Q8×C61 | — | 2 | 2 | no | — |
| 181 | Q8×C61 | — | 2 | 2 | no | — |
| 182 | Q8×C61 | — | 2 | 2 | no | — |
| 183 | D4×C61 | — | 2 | 2 | no | — |
| 184 | C2×C4×C61 | — | 2 | 1 | no | — |
| 185 | C2×C4×C61 | — | 2 | 1 | no | — |
| 186 | C2×C4×C61 | — | 2 | 2 | no | — |
| 187 | C2×C4×C61 | C23×C4 | 1 | 1 | yes | characteristic |
| 188 | C22⋊D61 | — | 4 | 2 | no | — |
| 189 | C22⋊D61 | — | 8 | 2 | no | — |
| 190 | C2×Dic61 | — | 2 | 1 | no | — |
| 191 | C2×Dic61 | — | 2 | 1 | no | — |
| 192 | C2×Dic61 | — | 4 | 1 | no | — |
| 193 | C2×Dic61 | — | 4 | 1 | no | — |
| 194 | C2×Dic61 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 195 | D244 | — | 2 | 2 | no | — |
| 196 | D244 | — | 2 | 2 | no | — |
| 197 | D244 | — | 2 | 2 | no | — |
| 198 | D244 | — | 4 | 2 | no | — |
| 199 | D244 | — | 4 | 2 | no | — |
| 200 | D244 | — | 4 | 2 | no | — |
| 201 | D244 | — | 8 | 2 | no | — |
| 202 | C4×D61 | — | 4 | 1 | no | — |
| 203 | C4×D61 | — | 4 | 2 | no | — |
| 204 | C4×D61 | — | 4 | 1 | no | — |
| 205 | C4×D61 | — | 4 | 2 | no | — |
| 206 | C4×D61 | — | 8 | 1 | no | — |
| 207 | C4×D61 | C22×D4 | 1 | 2 | yes | — |
| 208 | C4×D61 | C2×#41 | 1 | 2 | yes | — |
| 209 | Dic122 | — | 2 | 2 | no | — |
| 210 | #92420 | — | 2 | 4 | no | — |
| 211 | #92420 | — | 2 | 4 | no | — |
| 212 | C8×C61 | C4×D4 | 1 | 2 | yes | — |
| 213 | C8×C61 | C4×D4 | 1 | 2 | yes | — |
| 214 | #92418 | C4×D4 | 1 | 2 | yes | — |
| 215 | #92418 | C4×D4 | 1 | 2 | yes | — |
| 216 | #23197 | — | 61 | 1 | no | maximal, Sylow |
| 217 | C22×C61 | — | 4 | 1 | no | — |
| 218 | C22×C61 | — | 8 | 1 | no | — |
| 219 | C22×C61 | #518 | 1 | 1 | yes | characteristic |
| 220 | C2×D61 | — | 4 | 1 | no | — |
| 221 | C2×D61 | — | 4 | 2 | no | — |
| 222 | C2×D61 | — | 4 | 1 | no | — |
| 223 | C2×D61 | — | 8 | 2 | no | — |
| 224 | C2×D61 | — | 8 | 1 | no | — |
| 225 | C2×D61 | #550 | 1 | 2 | yes | — |
| 226 | #6923 | — | 8 | 2 | no | — |
| 227 | #6923 | — | 8 | 2 | no | — |
| 228 | C4×C61 | — | 4 | 1 | no | — |
| 229 | C4×C61 | — | 4 | 1 | no | — |
| 230 | C4×C61 | — | 4 | 2 | no | — |
| 231 | C4×C61 | C2×C4×D4 | 1 | 2 | yes | — |
| 232 | Dic61 | — | 4 | 1 | no | — |
| 233 | Dic61 | — | 4 | 1 | no | — |
| 234 | Dic61 | D42 | 1 | 1 | yes | characteristic |
| 235 | Dic61 | #559 | 1 | 1 | yes | characteristic |
| 236 | #3150 | — | 61 | 1 | no | — |
| 237 | #2957 | — | 61 | 2 | no | — |
| 238 | #2957 | — | 61 | 2 | no | — |
| 239 | #1976 | — | 61 | 2 | no | — |
| 240 | #1976 | — | 61 | 2 | no | — |
| 241 | #1884 | — | 61 | 1 | no | — |
| 242 | #1884 | — | 61 | 2 | no | — |
| 243 | #1884 | — | 61 | 1 | no | — |
| 244 | #1773 | — | 61 | 2 | no | — |
| 245 | C2×C61 | — | 2 | 1 | no | — |
| 246 | C2×C61 | — | 8 | 1 | no | — |
| 247 | C2×C61 | #2366 | 1 | 1 | yes | characteristic |
| 248 | D61 | — | 2 | 2 | no | — |
| 249 | D61 | — | 8 | 2 | no | — |
| 250 | D61 | — | 8 | 1 | no | — |
| 251 | C2×#135 | — | 61 | 2 | no | — |
| 252 | C2×#135 | — | 61 | 2 | no | — |
| 253 | #568 | — | 61 | 1 | no | — |
| 254 | #568 | — | 61 | 2 | no | — |
| 255 | #568 | — | 61 | 1 | no | — |
| 256 | #532 | — | 61 | 1 | no | — |
| 257 | #532 | — | 61 | 1 | no | — |
| 258 | #497 | — | 61 | 2 | no | — |
| 259 | #497 | — | 61 | 1 | no | — |
| 260 | #497 | #6923 | 1 | 1 | yes | characteristic, complemented |
| 261 | #496 | — | 61 | 2 | no | — |
| 262 | #496 | — | 61 | 1 | no | — |
| 263 | #496 | — | 61 | 1 | no | — |
| 264 | #444 | — | 122 | 4 | no | — |
| 265 | #444 | — | 122 | 4 | no | — |
| 266 | #443 | — | 122 | 4 | no | — |
| 267 | #443 | — | 122 | 4 | no | — |
| 268 | C2×#108 | — | 61 | 2 | no | — |
| 269 | #427 | — | 61 | 2 | no | — |
| 270 | #421 | — | 61 | 2 | no | — |
| 271 | #421 | — | 61 | 2 | no | — |
| 272 | #421 | — | 61 | 2 | no | — |
| 273 | #421 | — | 61 | 2 | no | — |
| 274 | #410 | — | 61 | 1 | no | — |
| 275 | #410 | — | 61 | 2 | no | — |
| 276 | #410 | — | 61 | 1 | no | — |
| 277 | #405 | — | 61 | 2 | no | — |
| 278 | #405 | — | 61 | 2 | no | — |
| 279 | C2×#97 | — | 61 | 1 | no | — |
| 280 | #339 | — | 61 | 2 | no | — |
| 281 | #339 | — | 61 | 2 | no | — |
| 282 | C61 | #23197 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 283 | C2×#41 | — | 61 | 2 | no | — |
| 284 | C2×#41 | — | 61 | 1 | no | — |
| 285 | C2×#41 | — | 61 | 1 | no | — |
| 286 | #135 | — | 122 | 2 | no | — |
| 287 | #135 | — | 122 | 2 | no | — |
| 288 | #135 | — | 122 | 2 | no | — |
| 289 | #135 | — | 122 | 2 | no | — |
| 290 | #135 | — | 122 | 2 | no | — |
| 291 | #135 | — | 122 | 2 | no | — |
| 292 | #135 | — | 122 | 2 | no | — |
| 293 | #135 | — | 122 | 2 | no | — |
| 294 | C2×Q16 | — | 61 | 2 | no | — |
| 295 | C2×Q16 | C2×#6923 | 1 | 2 | yes | — |
| 296 | C2×SD16 | — | 61 | 2 | no | — |
| 297 | C2×SD16 | — | 61 | 2 | no | — |
| 298 | C2×SD16 | — | 61 | 2 | no | — |
| 299 | C2×SD16 | C2×#6923 | 1 | 2 | yes | — |
| 300 | C2×D8 | — | 61 | 2 | no | — |
| 301 | C2×D8 | — | 61 | 2 | no | — |
| 302 | #131 | — | 122 | 4 | no | — |
| 303 | #131 | — | 122 | 4 | no | — |
| 304 | #131 | — | 122 | 4 | no | — |
| 305 | #131 | — | 122 | 4 | no | — |
| 306 | C2×M16 | — | 61 | 2 | no | — |
| 307 | C2×M16 | — | 61 | 2 | no | — |
| 308 | C2×M16 | — | 244 | 1 | no | — |
| 309 | C2×M16 | — | 244 | 2 | no | — |
| 310 | C2×M16 | — | 244 | 1 | no | — |
| 311 | C22×C8 | — | 61 | 2 | no | — |
| 312 | C4⋊Q8 | — | 61 | 1 | no | — |
| 313 | C4⋊Q8 | C2×#6923 | 1 | 1 | yes | characteristic |
| 314 | #127 | — | 61 | 1 | no | — |
| 315 | #127 | — | 61 | 1 | no | — |
| 316 | #124 | — | 61 | 2 | no | — |
| 317 | #124 | — | 61 | 1 | no | — |
| 318 | #124 | C2×#6923 | 1 | 1 | yes | characteristic |
| 319 | #121 | — | 244 | 1 | no | — |
| 320 | #121 | — | 244 | 1 | no | — |
| 321 | C4×D4 | — | 244 | 1 | no | — |
| 322 | C4×D4 | — | 244 | 1 | no | — |
| 323 | #117 | — | 61 | 2 | no | — |
| 324 | #117 | — | 61 | 2 | no | — |
| 325 | C2×C42 | — | 61 | 1 | no | — |
| 326 | #108 | — | 61 | 4 | no | — |
| 327 | #108 | — | 61 | 4 | no | — |
| 328 | #107 | — | 122 | 2 | no | — |
| 329 | #106 | — | 122 | 2 | no | — |
| 330 | #104 | — | 122 | 4 | no | — |
| 331 | #104 | — | 122 | 4 | no | — |
| 332 | #104 | — | 122 | 4 | no | — |
| 333 | #104 | — | 122 | 4 | no | — |
| 334 | #99 | — | 244 | 1 | no | — |
| 335 | #99 | — | 244 | 2 | no | — |
| 336 | #99 | — | 244 | 1 | no | — |
| 337 | #97 | — | 61 | 2 | no | — |
| 338 | #97 | — | 61 | 1 | no | — |
| 339 | #97 | — | 122 | 2 | no | — |
| 340 | #97 | — | 122 | 2 | no | — |
| 341 | #97 | C2×#6923 | 1 | 1 | yes | characteristic |
| 342 | C4×C8 | — | 122 | 2 | no | — |
| 343 | C4×C8 | — | 122 | 2 | no | — |
| 344 | #41 | — | 122 | 2 | no | — |
| 345 | #41 | — | 122 | 2 | no | — |
| 346 | #41 | — | 122 | 2 | no | — |
| 347 | #41 | — | 122 | 2 | no | — |
| 348 | #41 | — | 122 | 2 | no | — |
| 349 | #41 | — | 122 | 2 | no | — |
| 350 | #41 | — | 122 | 2 | no | — |
| 351 | #41 | — | 122 | 2 | no | — |
| 352 | C2×Q8 | — | 61 | 1 | no | — |
| 353 | C2×Q8 | C22×#6923 | 1 | 2 | yes | — |
| 354 | C2×Q8 | C22×#6923 | 1 | 1 | yes | characteristic |
| 355 | C2×D4 | — | 61 | 2 | no | — |
| 356 | C2×D4 | — | 61 | 1 | no | — |
| 357 | C2×D4 | — | 122 | 1 | no | — |
| 358 | C2×D4 | — | 122 | 2 | no | — |
| 359 | C2×D4 | — | 122 | 1 | no | — |
| 360 | C2×D4 | — | 244 | 1 | no | — |
| 361 | C2×D4 | — | 244 | 1 | no | — |
| 362 | C2×D4 | C22×#6923 | 1 | 1 | yes | characteristic |
| 363 | C22×C4 | — | 61 | 1 | no | — |
| 364 | C22×C4 | — | 122 | 1 | no | — |
| 365 | C22×C4 | — | 122 | 2 | no | — |
| 366 | C22×C4 | — | 122 | 1 | no | — |
| 367 | C22×C4 | — | 122 | 1 | no | — |
| 368 | Q16 | — | 2 | 2 | no | — |
| 369 | Q16 | — | 2 | 2 | no | — |
| 370 | Q16 | — | 122 | 2 | no | — |
| 371 | Q16 | — | 122 | 2 | no | — |
| 372 | SD16 | — | 2 | 2 | no | — |
| 373 | SD16 | — | 2 | 2 | no | — |
| 374 | SD16 | — | 122 | 2 | no | — |
| 375 | SD16 | — | 122 | 2 | no | — |
| 376 | SD16 | — | 122 | 2 | no | — |
| 377 | SD16 | — | 122 | 2 | no | — |
| 378 | SD16 | — | 122 | 2 | no | — |
| 379 | SD16 | — | 122 | 2 | no | — |
| 380 | D8 | — | 122 | 2 | no | — |
| 381 | D8 | — | 122 | 2 | no | — |
| 382 | D8 | — | 122 | 2 | no | — |
| 383 | D8 | — | 122 | 2 | no | — |
| 384 | M16 | — | 61 | 4 | no | — |
| 385 | M16 | — | 61 | 4 | no | — |
| 386 | M16 | — | 122 | 2 | no | — |
| 387 | M16 | — | 122 | 2 | no | — |
| 388 | M16 | — | 244 | 2 | no | — |
| 389 | M16 | — | 244 | 4 | no | — |
| 390 | M16 | — | 244 | 2 | no | — |
| 391 | C2×C8 | — | 61 | 2 | no | — |
| 392 | C2×C8 | — | 61 | 2 | no | — |
| 393 | C2×C8 | — | 61 | 2 | no | — |
| 394 | C2×C8 | — | 61 | 2 | no | — |
| 395 | C2×C8 | — | 61 | 2 | no | — |
| 396 | C2×C8 | — | 122 | 2 | no | — |
| 397 | C2×C8 | — | 122 | 2 | no | — |
| 398 | C2×C8 | — | 244 | 2 | no | — |
| 399 | C2×C8 | — | 244 | 4 | no | — |
| 400 | C2×C8 | — | 244 | 2 | no | — |
| 401 | C2×C8 | C22×#6923 | 1 | 2 | yes | — |
| 402 | C4⋊C4 | — | 4 | 1 | no | — |
| 403 | C4⋊C4 | — | 122 | 2 | no | — |
| 404 | C4⋊C4 | — | 122 | 2 | no | — |
| 405 | C4⋊C4 | — | 244 | 1 | no | — |
| 406 | C22⋊C4 | — | 4 | 1 | no | — |
| 407 | C22⋊C4 | — | 122 | 2 | no | — |
| 408 | C22⋊C4 | — | 122 | 2 | no | — |
| 409 | C22⋊C4 | — | 244 | 1 | no | — |
| 410 | C22⋊C4 | — | 244 | 2 | no | — |
| 411 | C42 | — | 61 | 1 | no | — |
| 412 | C42 | — | 122 | 1 | no | — |
| 413 | C42 | — | 122 | 2 | no | — |
| 414 | C42 | — | 122 | 2 | no | — |
| 415 | C42 | C22×#6923 | 1 | 1 | yes | characteristic |
| 416 | C23 | — | 2 | 1 | no | — |
| 417 | C23 | — | 61 | 1 | no | — |
| 418 | C23 | — | 122 | 2 | no | — |
| 419 | C23 | — | 122 | 1 | no | — |
| 420 | Q8 | — | 2 | 2 | no | — |
| 421 | Q8 | — | 2 | 2 | no | — |
| 422 | Q8 | — | 2 | 2 | no | — |
| 423 | Q8 | — | 122 | 2 | no | — |
| 424 | D4 | — | 2 | 2 | no | — |
| 425 | D4 | — | 122 | 2 | no | — |
| 426 | D4 | — | 122 | 2 | no | — |
| 427 | D4 | — | 122 | 2 | no | — |
| 428 | D4 | — | 488 | 2 | no | — |
| 429 | D4 | — | 488 | 2 | no | — |
| 430 | D4 | — | 244 | 2 | no | — |
| 431 | D4 | — | 244 | 2 | no | — |
| 432 | D4 | — | 244 | 2 | no | — |
| 433 | D4 | — | 244 | 2 | no | — |
| 434 | C2×C4 | — | 2 | 1 | no | — |
| 435 | C2×C4 | — | 2 | 1 | no | — |
| 436 | C2×C4 | — | 2 | 2 | no | — |
| 437 | C2×C4 | — | 61 | 1 | no | — |
| 438 | C2×C4 | — | 61 | 2 | no | — |
| 439 | C2×C4 | — | 61 | 2 | no | — |
| 440 | C2×C4 | — | 122 | 1 | no | — |
| 441 | C2×C4 | — | 122 | 1 | no | — |
| 442 | C2×C4 | — | 488 | 1 | no | — |
| 443 | C2×C4 | — | 244 | 1 | no | — |
| 444 | C2×C4 | — | 244 | 2 | no | — |
| 445 | C2×C4 | — | 244 | 1 | no | — |
| 446 | C2×C4 | — | 244 | 2 | no | — |
| 447 | C2×C4 | — | 244 | 1 | no | — |
| 448 | C2×C4 | — | 244 | 1 | no | — |
| 449 | C2×C4 | — | 244 | 2 | no | — |
| 450 | C2×C4 | — | 244 | 2 | no | — |
| 451 | C2×C4 | C23×#6923 | 1 | 1 | yes | characteristic |
| 452 | C8 | — | 61 | 2 | no | — |
| 453 | C8 | — | 61 | 2 | no | — |
| 454 | C8 | — | 122 | 4 | no | — |
| 455 | C8 | — | 122 | 4 | no | — |
| 456 | C8 | D4×#6923 | 1 | 2 | yes | — |
| 457 | C8 | D4×#6923 | 1 | 2 | yes | — |
| 458 | C22 | — | 4 | 1 | no | — |
| 459 | C22 | — | 8 | 1 | no | — |
| 460 | C22 | — | 61 | 2 | no | — |
| 461 | C22 | — | 488 | 2 | no | — |
| 462 | C22 | — | 488 | 1 | no | — |
| 463 | C22 | — | 244 | 1 | no | — |
| 464 | C22 | — | 244 | 2 | no | — |
| 465 | C22 | — | 244 | 1 | no | — |
| 466 | C22 | #16840829 | 1 | 1 | yes | characteristic |
| 467 | C4 | — | 4 | 1 | no | — |
| 468 | C4 | — | 4 | 1 | no | — |
| 469 | C4 | — | 4 | 2 | no | — |
| 470 | C4 | — | 61 | 1 | no | — |
| 471 | C4 | — | 61 | 1 | no | — |
| 472 | C4 | — | 488 | 2 | no | — |
| 473 | C4 | — | 488 | 2 | no | — |
| 474 | C4 | — | 244 | 1 | no | — |
| 475 | C4 | — | 244 | 1 | no | — |
| 476 | C4 | C2×D4×#6923 | 1 | 2 | yes | — |
| 477 | C2 | — | 2 | 1 | no | — |
| 478 | C2 | — | 8 | 1 | no | — |
| 479 | C2 | — | 122 | 2 | no | — |
| 480 | C2 | — | 488 | 2 | no | — |
| 481 | C2 | — | 488 | 1 | no | — |
| 482 | C2 | #21462349 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21462599 | C2 | semidirect |
| 2. #21462597 | C2 | semidirect |
| 3. #21461978 | C2 | semidirect |
| 4. #21461977 | C2 | semidirect |
| 5. #21461823 | C2 | semidirect |
| 6. #21461821 | C2 | semidirect |
| 7. #21461820 | C2 | semidirect |
| 8. #21461625 | C2 | semidirect |
| 34. #16840155 | C4 | semidirect |
| 35. #16840154 | C4 | semidirect |
| 36. #16840152 | C4 | semidirect |
| 37. #16840151 | C4 | semidirect |
| 38. #16840148 | C4 | semidirect |
| 40. C61×#497 | C4 | semidirect |
| 52. #14519848 | D4 | semidirect |
| 53. #14519847 | D4 | semidirect |
| 260. #497 | #6923 | semidirect |
| 282. C61 | #23197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462599 | 2 |
| #21462597 | 2 |
| #21461978 | 2 |
| #21461977 | 2 |
| #21461823 | 2 |
| #21461821 | 2 |
| #21461820 | 2 |
| #21461625 | 2 |
| #21456263 | 2 |
| #23197 | 61 |