Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2150 conjugacy classes of subgroups.
The subgroup lattice has 608 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10618096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10617988 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C5×#490 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10614894 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10614743 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10613451 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10613450 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10613449 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10613448 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10610498 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #10610478 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #10610230 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10610220 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#4144 | C22 | 1 | 2 | yes | — |
| 15 | C2×C5×#127 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C5×#125 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #66139 | C22 | 1 | 2 | yes | — |
| 18 | D4×C22⋊D5 | — | 2 | 4 | no | — |
| 19 | C2×#4078 | C22 | 1 | 4 | yes | complemented |
| 20 | C2×#4050 | C22 | 1 | 4 | yes | complemented |
| 21 | #66052 | — | 2 | 2 | no | — |
| 22 | #66051 | — | 2 | 2 | no | — |
| 23 | #66050 | C22 | 1 | 2 | yes | — |
| 24 | #66049 | C22 | 1 | 4 | yes | — |
| 25 | D5×#127 | C22 | 1 | 2 | yes | — |
| 26 | #66032 | C22 | 1 | 2 | yes | complemented |
| 27 | #66031 | C22 | 1 | 2 | yes | complemented |
| 28 | #66029 | — | 2 | 2 | no | — |
| 29 | #66028 | — | 2 | 2 | no | — |
| 30 | #66025 | C22 | 1 | 4 | yes | complemented |
| 31 | #65848 | — | 2 | 4 | no | — |
| 32 | #65844 | C22 | 1 | 2 | yes | — |
| 33 | #65838 | C22 | 1 | 2 | yes | complemented |
| 34 | #65811 | C22 | 1 | 1 | yes | characteristic |
| 35 | #65811 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C4×#709 | C22 | 1 | 1 | yes | characteristic |
| 37 | C5×#490 | C22 | 1 | 4 | yes | complemented |
| 38 | C5×#490 | C22 | 1 | 4 | yes | complemented |
| 39 | C2×C5×#102 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×C5×#97 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #65399 | C22 | 1 | 2 | yes | — |
| 42 | #65391 | C22 | 1 | 2 | yes | complemented |
| 43 | #65365 | C22 | 1 | 2 | yes | complemented |
| 44 | #65363 | C22 | 1 | 4 | yes | complemented |
| 45 | #65362 | C22 | 1 | 2 | yes | complemented |
| 46 | #65358 | C22 | 1 | 2 | yes | complemented |
| 47 | #65357 | C22 | 1 | 4 | yes | complemented |
| 48 | #65356 | C22 | 1 | 2 | yes | complemented |
| 49 | #65255 | C22 | 1 | 4 | yes | complemented |
| 50 | C4×#681 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #65076 | C22 | 1 | 8 | yes | complemented |
| 52 | #65075 | C22 | 1 | 8 | yes | complemented |
| 53 | #65072 | C22 | 1 | 8 | yes | complemented |
| 54 | #65070 | C22 | 1 | 8 | yes | complemented |
| 55 | #65065 | C22 | 1 | 8 | yes | complemented |
| 56 | #65062 | C22 | 1 | 8 | yes | complemented |
| 57 | #65056 | C22 | 1 | 8 | yes | complemented |
| 58 | #65051 | C22 | 1 | 8 | yes | complemented |
| 59 | #65004 | C22 | 1 | 2 | yes | complemented |
| 60 | #65004 | C22 | 1 | 2 | yes | complemented |
| 61 | #65001 | C22 | 1 | 2 | yes | complemented |
| 62 | #65001 | C22 | 1 | 2 | yes | complemented |
| 63 | #64998 | C22 | 1 | 4 | yes | complemented |
| 64 | #64994 | C22 | 1 | 4 | yes | complemented |
| 65 | #60830 | — | 5 | 1 | no | maximal, Sylow |
| 66 | C22×C5×D4 | — | 2 | 2 | no | — |
| 67 | C22×C5×D4 | C23 | 1 | 2 | yes | — |
| 68 | C22×C22⋊D5 | — | 2 | 4 | no | — |
| 69 | #4144 | — | 4 | 8 | no | — |
| 70 | C2×#711 | — | 2 | 2 | no | — |
| 71 | C2×#711 | C23 | 1 | 4 | yes | — |
| 72 | C2×D4×D5 | — | 2 | 2 | no | — |
| 73 | C2×D4×D5 | — | 2 | 4 | no | — |
| 74 | C2×D4×D5 | C23 | 1 | 4 | yes | — |
| 75 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×#709 | C23 | 1 | 2 | yes | — |
| 77 | C2×#709 | C23 | 1 | 2 | yes | — |
| 78 | C22×C5×C8 | C23 | 1 | 2 | yes | — |
| 79 | C5×#127 | — | 2 | 2 | no | — |
| 80 | C5×#127 | C23 | 1 | 2 | yes | — |
| 81 | C5×#127 | C23 | 1 | 2 | yes | — |
| 82 | C5×#125 | — | 2 | 2 | no | — |
| 83 | C5×#125 | C23 | 1 | 2 | yes | — |
| 84 | C5×#125 | C23 | 1 | 2 | yes | — |
| 85 | C2×C5×C4⋊C4 | — | 2 | 2 | no | — |
| 86 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 87 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 88 | #4099 | — | 2 | 4 | no | — |
| 89 | #4086 | — | 2 | 4 | no | — |
| 90 | #4086 | C23 | 1 | 4 | yes | — |
| 91 | #4085 | — | 2 | 8 | no | — |
| 92 | #4084 | — | 2 | 4 | no | — |
| 93 | #4084 | — | 2 | 4 | no | — |
| 94 | #4083 | — | 2 | 8 | no | — |
| 95 | #4082 | C23 | 1 | 4 | yes | — |
| 96 | D4×Dic5 | — | 2 | 4 | no | — |
| 97 | C2×#687 | C23 | 1 | 8 | yes | — |
| 98 | #4078 | — | 4 | 8 | no | — |
| 99 | C2×#686 | C23 | 1 | 8 | yes | — |
| 100 | #4076 | — | 2 | 2 | no | — |
| 101 | #4076 | — | 2 | 2 | no | — |
| 102 | #4076 | — | 2 | 4 | no | — |
| 103 | C4×C22⋊D5 | — | 2 | 4 | no | — |
| 104 | C4×C22⋊D5 | D4 | 1 | 4 | yes | — |
| 105 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×#681 | C23 | 1 | 2 | yes | — |
| 107 | C2×Dic20 | C23 | 1 | 4 | yes | — |
| 108 | #4050 | — | 4 | 8 | no | — |
| 109 | C2×D40 | C23 | 1 | 4 | yes | — |
| 110 | C2×#677 | C23 | 1 | 4 | yes | — |
| 111 | C2×#677 | C23 | 1 | 4 | yes | — |
| 112 | #4044 | — | 2 | 4 | no | — |
| 113 | #4044 | — | 2 | 4 | no | — |
| 114 | #4043 | — | 2 | 2 | no | — |
| 115 | #4043 | C23 | 1 | 4 | yes | — |
| 116 | #4041 | — | 2 | 2 | no | — |
| 117 | #4041 | — | 2 | 4 | no | — |
| 118 | #4041 | C23 | 1 | 4 | yes | — |
| 119 | #4040 | — | 2 | 4 | no | — |
| 120 | #4040 | — | 2 | 4 | no | — |
| 121 | #4039 | — | 2 | 4 | no | — |
| 122 | #4039 | C23 | 1 | 4 | yes | — |
| 123 | #4038 | — | 2 | 2 | no | — |
| 124 | #4038 | — | 2 | 4 | no | — |
| 125 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 126 | #4036 | — | 2 | 4 | no | — |
| 127 | #4033 | C23 | 1 | 4 | yes | — |
| 128 | #4021 | C23 | 1 | 2 | yes | — |
| 129 | #4021 | C23 | 1 | 2 | yes | — |
| 130 | #4020 | C23 | 1 | 1 | yes | characteristic |
| 131 | #4020 | C23 | 1 | 1 | yes | characteristic |
| 132 | C4×D20 | — | 2 | 2 | no | — |
| 133 | C4×D20 | — | 2 | 2 | no | — |
| 134 | C4×D20 | D4 | 1 | 2 | yes | — |
| 135 | #4018 | C23 | 1 | 2 | yes | — |
| 136 | C42×D5 | C23 | 1 | 2 | yes | — |
| 137 | #4015 | C23 | 1 | 1 | yes | characteristic |
| 138 | #4015 | C23 | 1 | 1 | yes | characteristic |
| 139 | C4×Dic10 | D4 | 1 | 2 | yes | — |
| 140 | C5×#102 | C23 | 1 | 8 | yes | — |
| 141 | C5×#102 | C23 | 1 | 8 | yes | — |
| 142 | C5×#97 | C23 | 1 | 2 | yes | — |
| 143 | C5×#97 | C23 | 1 | 2 | yes | — |
| 144 | #3952 | C23 | 1 | 8 | yes | — |
| 145 | #3946 | C23 | 1 | 8 | yes | — |
| 146 | #3942 | C23 | 1 | 8 | yes | — |
| 147 | #3941 | C23 | 1 | 8 | yes | — |
| 148 | #3935 | C23 | 1 | 2 | yes | — |
| 149 | C4×#168 | C23 | 1 | 2 | yes | — |
| 150 | #3512 | — | 5 | 1 | no | — |
| 151 | #3498 | — | 5 | 1 | no | — |
| 152 | #3222 | — | 5 | 4 | no | — |
| 153 | #3220 | — | 5 | 4 | no | — |
| 154 | #3219 | — | 5 | 4 | no | — |
| 155 | #3217 | — | 5 | 4 | no | — |
| 156 | #3151 | — | 5 | 1 | no | — |
| 157 | #3150 | — | 5 | 1 | no | — |
| 158 | #3142 | — | 5 | 1 | no | — |
| 159 | C2×#490 | D5 | 1 | 1 | yes | characteristic, complemented |
| 160 | #3045 | — | 5 | 4 | no | — |
| 161 | #3012 | — | 5 | 4 | no | — |
| 162 | #2923 | — | 5 | 1 | no | — |
| 163 | C24×C5 | — | 2 | 2 | no | — |
| 164 | C23×D5 | — | 2 | 4 | no | — |
| 165 | C2×C5×D4 | — | 2 | 2 | no | — |
| 166 | C2×C5×D4 | — | 2 | 4 | no | — |
| 167 | C2×C5×D4 | — | 2 | 4 | no | — |
| 168 | C2×C5×D4 | — | 2 | 8 | no | — |
| 169 | C2×C5×D4 | — | 8 | 4 | no | — |
| 170 | C2×C5×D4 | C24 | 1 | 4 | yes | — |
| 171 | C22×C4×C5 | — | 2 | 2 | no | — |
| 172 | C22×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 173 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 174 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 175 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 176 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 177 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 178 | C2×C22⋊D5 | — | 2 | 8 | no | — |
| 179 | C2×C22⋊D5 | — | 4 | 16 | no | — |
| 180 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 181 | C22×Dic5 | — | 2 | 4 | no | — |
| 182 | #711 | — | 4 | 8 | no | — |
| 183 | #711 | — | 4 | 8 | no | — |
| 184 | D4×D5 | — | 4 | 8 | no | — |
| 185 | D4×D5 | — | 4 | 8 | no | — |
| 186 | D4×D5 | — | 8 | 8 | no | — |
| 187 | #709 | — | 2 | 4 | no | — |
| 188 | #709 | — | 2 | 8 | no | — |
| 189 | #709 | — | 2 | 8 | no | — |
| 190 | C2×D20 | — | 2 | 2 | no | — |
| 191 | C2×D20 | — | 2 | 4 | no | — |
| 192 | C2×D20 | — | 2 | 2 | no | — |
| 193 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C2×D20 | C24 | 1 | 2 | yes | — |
| 195 | C2×D20 | C24 | 1 | 2 | yes | — |
| 196 | C2×C4×D5 | — | 2 | 2 | no | — |
| 197 | C2×C4×D5 | — | 2 | 2 | no | — |
| 198 | C2×C4×D5 | — | 2 | 4 | no | — |
| 199 | C2×C4×D5 | C2×D4 | 1 | 4 | yes | — |
| 200 | C2×C4×D5 | C24 | 1 | 2 | yes | — |
| 201 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 203 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 204 | C2×C5×C8 | — | 2 | 4 | no | — |
| 205 | C2×C5×C8 | C24 | 1 | 4 | yes | — |
| 206 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 207 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 208 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 209 | C5×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 210 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 211 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 212 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 213 | C22⋊Dic5 | — | 2 | 8 | no | — |
| 214 | C22⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 215 | #687 | — | 4 | 8 | no | — |
| 216 | #686 | — | 4 | 8 | no | — |
| 217 | #685 | — | 2 | 4 | no | — |
| 218 | #685 | — | 2 | 2 | no | — |
| 219 | #685 | — | 2 | 2 | no | — |
| 220 | #685 | — | 2 | 4 | no | — |
| 221 | #685 | — | 2 | 4 | no | — |
| 222 | #685 | — | 2 | 4 | no | — |
| 223 | #685 | C2×D4 | 1 | 4 | yes | — |
| 224 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 225 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 226 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 227 | C4⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 228 | #683 | — | 2 | 4 | no | — |
| 229 | #683 | C2×D4 | 1 | 4 | yes | — |
| 230 | C4×Dic5 | — | 2 | 4 | no | — |
| 231 | C4×Dic5 | C2×D4 | 1 | 4 | yes | — |
| 232 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 233 | #681 | — | 2 | 4 | no | — |
| 234 | C2×#168 | C24 | 1 | 4 | yes | — |
| 235 | Dic20 | — | 4 | 4 | no | — |
| 236 | D40 | — | 4 | 4 | no | — |
| 237 | #677 | — | 4 | 4 | no | — |
| 238 | #677 | — | 4 | 4 | no | — |
| 239 | C2×H(5,𝔽2) | — | 5 | 2 | no | — |
| 240 | C2×AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 241 | C2×#135 | — | 5 | 4 | no | — |
| 242 | #553 | — | 10 | 4 | no | — |
| 243 | #553 | — | 10 | 2 | no | — |
| 244 | #552 | — | 10 | 2 | no | — |
| 245 | #550 | — | 10 | 2 | no | — |
| 246 | D42 | — | 10 | 2 | no | — |
| 247 | D42 | — | 10 | 4 | no | — |
| 248 | #541 | — | 5 | 2 | no | — |
| 249 | #540 | — | 5 | 2 | no | — |
| 250 | #537 | — | 5 | 2 | no | — |
| 251 | #535 | — | 5 | 2 | no | — |
| 252 | #535 | — | 5 | 4 | no | — |
| 253 | #532 | — | 5 | 2 | no | — |
| 254 | #532 | — | 5 | 1 | no | — |
| 255 | #532 | — | 5 | 1 | no | — |
| 256 | C2×#127 | — | 5 | 2 | no | — |
| 257 | C2×#127 | C2×D5 | 1 | 1 | yes | characteristic |
| 258 | #529 | — | 5 | 4 | no | — |
| 259 | C2×#125 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 260 | #520 | — | 5 | 2 | no | — |
| 261 | C4×#41 | — | 5 | 1 | no | — |
| 262 | #497 | — | 5 | 2 | no | — |
| 263 | #497 | — | 5 | 2 | no | — |
| 264 | #496 | — | 5 | 4 | no | — |
| 265 | #496 | — | 5 | 2 | no | — |
| 266 | #496 | — | 5 | 2 | no | — |
| 267 | #493 | — | 5 | 2 | no | — |
| 268 | #492 | — | 5 | 2 | no | — |
| 269 | #491 | — | 5 | 2 | no | — |
| 270 | #490 | — | 5 | 2 | no | — |
| 271 | #490 | C2×D5 | 1 | 4 | yes | complemented |
| 272 | #490 | C2×D5 | 1 | 4 | yes | complemented |
| 273 | #488 | — | 5 | 4 | no | — |
| 274 | #464 | — | 5 | 8 | no | — |
| 275 | #463 | — | 5 | 8 | no | — |
| 276 | #460 | — | 5 | 8 | no | — |
| 277 | #459 | — | 5 | 8 | no | — |
| 278 | #452 | — | 5 | 8 | no | — |
| 279 | #450 | — | 5 | 8 | no | — |
| 280 | #449 | — | 5 | 8 | no | — |
| 281 | #447 | — | 5 | 8 | no | — |
| 282 | #433 | — | 5 | 4 | no | — |
| 283 | #432 | — | 5 | 4 | no | — |
| 284 | #424 | — | 5 | 2 | no | — |
| 285 | #417 | — | 5 | 4 | no | — |
| 286 | C2×#102 | C2×D5 | 1 | 4 | yes | complemented |
| 287 | #408 | — | 5 | 2 | no | — |
| 288 | C4×M16 | — | 5 | 1 | no | — |
| 289 | C2×#97 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 290 | C23×C5 | — | 2 | 4 | no | — |
| 291 | C23×C5 | — | 4 | 4 | no | — |
| 292 | C23×C5 | — | 8 | 4 | no | — |
| 293 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 294 | C22×D5 | — | 2 | 2 | no | — |
| 295 | C22×D5 | — | 2 | 2 | no | — |
| 296 | C22×D5 | — | 4 | 8 | no | — |
| 297 | C22×D5 | — | 8 | 8 | no | — |
| 298 | C22×D5 | C22×D4 | 1 | 2 | yes | — |
| 299 | C5×D4 | — | 2 | 8 | no | — |
| 300 | C5×D4 | — | 4 | 8 | no | — |
| 301 | C5×D4 | — | 4 | 4 | no | — |
| 302 | C5×D4 | — | 8 | 4 | no | — |
| 303 | C2×C4×C5 | — | 2 | 4 | no | — |
| 304 | C2×C4×C5 | — | 4 | 2 | no | — |
| 305 | C2×C4×C5 | — | 8 | 2 | no | — |
| 306 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 307 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 308 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 309 | C2×C4×C5 | H(5,𝔽2) | 1 | 4 | yes | — |
| 310 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 311 | C22⋊D5 | — | 2 | 4 | no | — |
| 312 | C22⋊D5 | — | 4 | 8 | no | — |
| 313 | C22⋊D5 | — | 4 | 8 | no | — |
| 314 | C22⋊D5 | — | 4 | 4 | no | — |
| 315 | C22⋊D5 | — | 4 | 4 | no | — |
| 316 | C22⋊D5 | — | 8 | 8 | no | — |
| 317 | C2×Dic5 | — | 2 | 2 | no | — |
| 318 | C2×Dic5 | — | 2 | 2 | no | — |
| 319 | C2×Dic5 | — | 4 | 8 | no | — |
| 320 | C2×Dic5 | C22×D4 | 1 | 4 | yes | — |
| 321 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 322 | D20 | — | 2 | 2 | no | — |
| 323 | D20 | — | 2 | 4 | no | — |
| 324 | D20 | — | 2 | 4 | no | — |
| 325 | D20 | — | 4 | 4 | no | — |
| 326 | D20 | — | 8 | 2 | no | — |
| 327 | D20 | — | 8 | 4 | no | — |
| 328 | C4×D5 | — | 2 | 4 | no | — |
| 329 | C4×D5 | — | 4 | 4 | no | — |
| 330 | C4×D5 | — | 4 | 4 | no | — |
| 331 | C4×D5 | — | 4 | 4 | no | — |
| 332 | C4×D5 | — | 8 | 4 | no | — |
| 333 | Dic10 | — | 2 | 2 | no | — |
| 334 | Dic10 | — | 2 | 4 | no | — |
| 335 | Dic10 | — | 2 | 4 | no | — |
| 336 | C5×C8 | — | 2 | 4 | no | — |
| 337 | #168 | — | 2 | 4 | no | — |
| 338 | H(5,𝔽2) | — | 20 | 8 | no | — |
| 339 | C2×#41 | — | 5 | 1 | no | — |
| 340 | C2×#41 | — | 5 | 4 | no | — |
| 341 | C2×#41 | — | 5 | 2 | no | — |
| 342 | C2×#41 | — | 5 | 2 | no | — |
| 343 | C2×#41 | — | 10 | 2 | no | — |
| 344 | C22×D4 | — | 2 | 2 | no | — |
| 345 | C22×D4 | — | 5 | 4 | no | — |
| 346 | C22×D4 | — | 10 | 4 | no | — |
| 347 | C22×D4 | — | 10 | 2 | no | — |
| 348 | C22×D4 | — | 10 | 4 | no | — |
| 349 | C22×D4 | C22×D5 | 1 | 2 | yes | — |
| 350 | AGL(1,ℤ/8) | — | 20 | 8 | no | — |
| 351 | #135 | — | 20 | 8 | no | — |
| 352 | C2×Q16 | — | 5 | 4 | no | — |
| 353 | C2×SD16 | — | 5 | 8 | no | — |
| 354 | C2×SD16 | — | 5 | 4 | no | — |
| 355 | C2×SD16 | — | 5 | 4 | no | — |
| 356 | C2×D8 | — | 5 | 8 | no | — |
| 357 | C2×D8 | — | 5 | 4 | no | — |
| 358 | C2×M16 | — | 5 | 2 | no | — |
| 359 | C22×C8 | C22×D5 | 1 | 2 | yes | — |
| 360 | C4⋊Q8 | — | 5 | 1 | no | — |
| 361 | C4⋊Q8 | — | 5 | 1 | no | — |
| 362 | #127 | — | 2 | 2 | no | — |
| 363 | #127 | — | 5 | 4 | no | — |
| 364 | #127 | — | 5 | 1 | no | — |
| 365 | #127 | — | 5 | 1 | no | — |
| 366 | #127 | — | 10 | 4 | no | — |
| 367 | #127 | C22×D5 | 1 | 2 | yes | — |
| 368 | #127 | C22×D5 | 1 | 2 | yes | — |
| 369 | #126 | — | 10 | 4 | no | — |
| 370 | #126 | — | 10 | 4 | no | — |
| 371 | #125 | — | 2 | 2 | no | — |
| 372 | #125 | — | 10 | 4 | no | — |
| 373 | #125 | C22×D5 | 1 | 2 | yes | — |
| 374 | #125 | C22×D5 | 1 | 2 | yes | — |
| 375 | #124 | — | 5 | 4 | no | — |
| 376 | #124 | — | 5 | 2 | no | — |
| 377 | #124 | — | 5 | 2 | no | — |
| 378 | #123 | — | 10 | 4 | no | — |
| 379 | #123 | — | 10 | 4 | no | — |
| 380 | C22⋊Q8 | — | 5 | 4 | no | — |
| 381 | C22⋊Q8 | — | 10 | 2 | no | — |
| 382 | #121 | — | 5 | 4 | no | — |
| 383 | #121 | — | 10 | 4 | no | — |
| 384 | #121 | — | 10 | 2 | no | — |
| 385 | #121 | — | 10 | 4 | no | — |
| 386 | #121 | — | 10 | 8 | no | — |
| 387 | #121 | — | 10 | 4 | no | — |
| 388 | #121 | — | 10 | 4 | no | — |
| 389 | #121 | — | 10 | 2 | no | — |
| 390 | #121 | — | 10 | 2 | no | — |
| 391 | #120 | — | 10 | 8 | no | — |
| 392 | #120 | — | 10 | 4 | no | — |
| 393 | C4×Q8 | — | 5 | 2 | no | — |
| 394 | C4×Q8 | — | 5 | 4 | no | — |
| 395 | C4×D4 | — | 5 | 4 | no | — |
| 396 | C4×D4 | — | 5 | 4 | no | — |
| 397 | C4×D4 | — | 5 | 2 | no | — |
| 398 | C4×D4 | — | 10 | 4 | no | — |
| 399 | C4×D4 | — | 10 | 4 | no | — |
| 400 | C4×D4 | — | 10 | 4 | no | — |
| 401 | C4×D4 | — | 10 | 2 | no | — |
| 402 | C4×D4 | — | 10 | 2 | no | — |
| 403 | #117 | — | 5 | 1 | no | — |
| 404 | #117 | — | 5 | 2 | no | — |
| 405 | #117 | — | 10 | 4 | no | — |
| 406 | #117 | — | 10 | 2 | no | — |
| 407 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 408 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 409 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 410 | C2×C42 | — | 5 | 2 | no | — |
| 411 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 412 | C4⋊C8 | — | 5 | 8 | no | — |
| 413 | #103 | — | 5 | 8 | no | — |
| 414 | #102 | — | 5 | 8 | no | — |
| 415 | #102 | C22×D5 | 1 | 8 | yes | — |
| 416 | #102 | C22×D5 | 1 | 8 | yes | — |
| 417 | C22⋊C8 | — | 5 | 8 | no | — |
| 418 | #97 | — | 5 | 2 | no | — |
| 419 | #97 | C22×D5 | 1 | 2 | yes | — |
| 420 | #97 | C22×D5 | 1 | 2 | yes | — |
| 421 | C4×C8 | — | 5 | 2 | no | — |
| 422 | C22×C5 | — | 2 | 2 | no | — |
| 423 | C22×C5 | — | 4 | 8 | no | — |
| 424 | C22×C5 | — | 4 | 4 | no | — |
| 425 | C22×C5 | — | 16 | 4 | no | — |
| 426 | C22×C5 | #535 | 1 | 2 | yes | — |
| 427 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 428 | C2×D5 | — | 2 | 4 | no | — |
| 429 | C2×D5 | — | 2 | 2 | no | — |
| 430 | C2×D5 | — | 4 | 2 | no | — |
| 431 | C2×D5 | — | 4 | 4 | no | — |
| 432 | C2×D5 | — | 4 | 2 | no | — |
| 433 | C2×D5 | — | 4 | 2 | no | — |
| 434 | C2×D5 | — | 4 | 2 | no | — |
| 435 | C2×D5 | — | 16 | 8 | no | — |
| 436 | C4×C5 | — | 2 | 2 | no | — |
| 437 | C4×C5 | — | 2 | 2 | no | — |
| 438 | C4×C5 | — | 4 | 4 | no | — |
| 439 | C4×C5 | #535 | 1 | 2 | yes | — |
| 440 | C4×C5 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 441 | Dic5 | — | 2 | 4 | no | — |
| 442 | Dic5 | — | 2 | 2 | no | — |
| 443 | Dic5 | — | 4 | 2 | no | — |
| 444 | Dic5 | — | 4 | 2 | no | — |
| 445 | C24 | — | 2 | 2 | no | — |
| 446 | C24 | — | 10 | 4 | no | — |
| 447 | #41 | — | 10 | 4 | no | — |
| 448 | #41 | — | 10 | 8 | no | — |
| 449 | #41 | — | 10 | 8 | no | — |
| 450 | #41 | — | 20 | 8 | no | — |
| 451 | #41 | — | 20 | 8 | no | — |
| 452 | C2×Q8 | — | 5 | 1 | no | — |
| 453 | C2×Q8 | — | 5 | 2 | no | — |
| 454 | C2×Q8 | — | 5 | 2 | no | — |
| 455 | C2×D4 | — | 2 | 4 | no | — |
| 456 | C2×D4 | — | 2 | 2 | no | — |
| 457 | C2×D4 | — | 2 | 4 | no | — |
| 458 | C2×D4 | — | 2 | 8 | no | — |
| 459 | C2×D4 | — | 5 | 2 | no | — |
| 460 | C2×D4 | — | 5 | 1 | no | — |
| 461 | C2×D4 | — | 5 | 2 | no | — |
| 462 | C2×D4 | — | 5 | 2 | no | — |
| 463 | C2×D4 | — | 8 | 4 | no | — |
| 464 | C2×D4 | — | 10 | 4 | no | — |
| 465 | C2×D4 | — | 10 | 4 | no | — |
| 466 | C2×D4 | — | 10 | 8 | no | — |
| 467 | C2×D4 | — | 10 | 4 | no | — |
| 468 | C2×D4 | — | 10 | 2 | no | — |
| 469 | C2×D4 | — | 10 | 2 | no | — |
| 470 | C2×D4 | — | 10 | 2 | no | — |
| 471 | C2×D4 | — | 10 | 2 | no | — |
| 472 | C2×D4 | — | 20 | 8 | no | — |
| 473 | C2×D4 | — | 20 | 8 | no | — |
| 474 | C2×D4 | — | 20 | 16 | no | — |
| 475 | C2×D4 | — | 40 | 8 | no | — |
| 476 | C2×D4 | C23×D5 | 1 | 4 | yes | — |
| 477 | C22×C4 | — | 2 | 2 | no | — |
| 478 | C22×C4 | — | 5 | 2 | no | — |
| 479 | C22×C4 | — | 5 | 4 | no | — |
| 480 | C22×C4 | — | 10 | 4 | no | — |
| 481 | C22×C4 | — | 10 | 4 | no | — |
| 482 | C22×C4 | — | 10 | 2 | no | — |
| 483 | C22×C4 | — | 10 | 2 | no | — |
| 484 | C22×C4 | D4×D5 | 1 | 2 | yes | — |
| 485 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 486 | Q16 | — | 20 | 4 | no | — |
| 487 | SD16 | — | 20 | 4 | no | — |
| 488 | SD16 | — | 20 | 4 | no | — |
| 489 | SD16 | — | 20 | 8 | no | — |
| 490 | D8 | — | 20 | 4 | no | — |
| 491 | D8 | — | 20 | 8 | no | — |
| 492 | M16 | — | 10 | 4 | no | — |
| 493 | C2×C8 | — | 2 | 4 | no | — |
| 494 | C2×C8 | — | 5 | 4 | no | — |
| 495 | C2×C8 | C23×D5 | 1 | 4 | yes | — |
| 496 | C4⋊C4 | — | 2 | 4 | no | — |
| 497 | C4⋊C4 | — | 2 | 4 | no | — |
| 498 | C4⋊C4 | — | 2 | 2 | no | — |
| 499 | C4⋊C4 | — | 5 | 2 | no | — |
| 500 | C4⋊C4 | — | 5 | 4 | no | — |
| 501 | C4⋊C4 | — | 10 | 4 | no | — |
| 502 | C4⋊C4 | — | 10 | 4 | no | — |
| 503 | C4⋊C4 | — | 10 | 2 | no | — |
| 504 | C4⋊C4 | — | 10 | 2 | no | — |
| 505 | C4⋊C4 | C23×D5 | 1 | 4 | yes | — |
| 506 | C22⋊C4 | — | 5 | 2 | no | — |
| 507 | C22⋊C4 | — | 5 | 4 | no | — |
| 508 | C22⋊C4 | — | 10 | 4 | no | — |
| 509 | C22⋊C4 | — | 10 | 4 | no | — |
| 510 | C22⋊C4 | — | 10 | 4 | no | — |
| 511 | C22⋊C4 | — | 10 | 8 | no | — |
| 512 | C22⋊C4 | — | 10 | 2 | no | — |
| 513 | C22⋊C4 | — | 10 | 2 | no | — |
| 514 | C22⋊C4 | — | 10 | 4 | no | — |
| 515 | C42 | — | 5 | 4 | no | — |
| 516 | C42 | — | 5 | 2 | no | — |
| 517 | C42 | — | 10 | 4 | no | — |
| 518 | C42 | D4×D5 | 1 | 2 | yes | — |
| 519 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 520 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 521 | C2×C5 | — | 2 | 2 | no | — |
| 522 | C2×C5 | — | 8 | 4 | no | — |
| 523 | C2×C5 | C2×#535 | 1 | 1 | yes | characteristic |
| 524 | C2×C5 | #3585 | 1 | 2 | yes | — |
| 525 | D5 | — | 4 | 2 | no | — |
| 526 | D5 | — | 8 | 2 | no | — |
| 527 | D5 | — | 8 | 2 | no | — |
| 528 | C23 | — | 2 | 4 | no | — |
| 529 | C23 | — | 4 | 4 | no | — |
| 530 | C23 | — | 5 | 2 | no | — |
| 531 | C23 | — | 8 | 4 | no | — |
| 532 | C23 | — | 10 | 2 | no | — |
| 533 | C23 | — | 10 | 2 | no | — |
| 534 | C23 | — | 20 | 8 | no | — |
| 535 | C23 | — | 40 | 8 | no | — |
| 536 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 537 | Q8 | — | 10 | 2 | no | — |
| 538 | Q8 | — | 10 | 4 | no | — |
| 539 | Q8 | — | 10 | 4 | no | — |
| 540 | D4 | — | 2 | 8 | no | — |
| 541 | D4 | — | 4 | 8 | no | — |
| 542 | D4 | — | 4 | 4 | no | — |
| 543 | D4 | — | 8 | 4 | no | — |
| 544 | D4 | — | 10 | 4 | no | — |
| 545 | D4 | — | 10 | 2 | no | — |
| 546 | D4 | — | 10 | 4 | no | — |
| 547 | D4 | — | 10 | 4 | no | — |
| 548 | D4 | — | 20 | 4 | no | — |
| 549 | D4 | — | 20 | 8 | no | — |
| 550 | D4 | — | 20 | 8 | no | — |
| 551 | D4 | — | 20 | 4 | no | — |
| 552 | D4 | — | 20 | 4 | no | — |
| 553 | D4 | — | 40 | 2 | no | — |
| 554 | D4 | — | 40 | 4 | no | — |
| 555 | D4 | — | 40 | 8 | no | — |
| 556 | C2×C4 | — | 2 | 4 | no | — |
| 557 | C2×C4 | — | 4 | 2 | no | — |
| 558 | C2×C4 | — | 5 | 4 | no | — |
| 559 | C2×C4 | — | 5 | 2 | no | — |
| 560 | C2×C4 | — | 8 | 2 | no | — |
| 561 | C2×C4 | — | 10 | 4 | no | — |
| 562 | C2×C4 | — | 10 | 2 | no | — |
| 563 | C2×C4 | — | 10 | 2 | no | — |
| 564 | C2×C4 | — | 20 | 4 | no | — |
| 565 | C2×C4 | — | 20 | 8 | no | — |
| 566 | C2×C4 | — | 20 | 4 | no | — |
| 567 | C2×C4 | — | 20 | 4 | no | — |
| 568 | C2×C4 | — | 40 | 4 | no | — |
| 569 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 570 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 571 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 572 | C2×C4 | #4149 | 1 | 4 | yes | — |
| 573 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 574 | C8 | — | 2 | 4 | no | — |
| 575 | C8 | — | 10 | 4 | no | — |
| 576 | C5 | #60830 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 577 | C22 | — | 2 | 2 | no | — |
| 578 | C22 | — | 4 | 4 | no | — |
| 579 | C22 | — | 4 | 8 | no | — |
| 580 | C22 | — | 10 | 2 | no | — |
| 581 | C22 | — | 10 | 4 | no | — |
| 582 | C22 | — | 16 | 4 | no | — |
| 583 | C22 | — | 20 | 2 | no | — |
| 584 | C22 | — | 20 | 2 | no | — |
| 585 | C22 | — | 20 | 2 | no | — |
| 586 | C22 | — | 20 | 4 | no | — |
| 587 | C22 | — | 20 | 2 | no | — |
| 588 | C22 | — | 80 | 8 | no | — |
| 589 | C22 | #66008 | 1 | 2 | yes | — |
| 590 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 591 | C4 | — | 2 | 2 | no | — |
| 592 | C4 | — | 2 | 2 | no | — |
| 593 | C4 | — | 4 | 4 | no | — |
| 594 | C4 | — | 10 | 2 | no | — |
| 595 | C4 | — | 10 | 4 | no | — |
| 596 | C4 | — | 20 | 2 | no | — |
| 597 | C4 | — | 20 | 2 | no | — |
| 598 | C4 | #66008 | 1 | 2 | yes | — |
| 599 | C4 | C2×#4149 | 1 | 2 | yes | — |
| 600 | C2 | — | 2 | 2 | no | — |
| 601 | C2 | — | 8 | 4 | no | — |
| 602 | C2 | — | 20 | 2 | no | — |
| 603 | C2 | — | 40 | 2 | no | — |
| 604 | C2 | — | 40 | 2 | no | — |
| 605 | C2 | C2×#66008 | 1 | 1 | yes | characteristic |
| 606 | C2 | #10619093 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10618096 | C2 | semidirect |
| 2. #10617988 | C2 | semidirect |
| 3. C2×C5×#490 | C2 | semidirect |
| 4. #10614894 | C2 | semidirect |
| 5. #10614743 | C2 | semidirect |
| 6. #10613451 | C2 | semidirect |
| 7. #10613450 | C2 | semidirect |
| 8. #10613449 | C2 | semidirect |
| 9. #10613448 | C2 | semidirect |
| 10. #10610498 | C2 | semidirect |
| 11. #10610478 | C2 | semidirect |
| 12. #10610230 | C2 | semidirect |
| 13. #10610220 | C2 | semidirect |
| 16. C2×C5×#125 | C22 | semidirect |
| 19. C2×#4078 | C22 | semidirect |
| 20. C2×#4050 | C22 | semidirect |
| 26. #66032 | C22 | semidirect |
| 27. #66031 | C22 | semidirect |
| 30. #66025 | C22 | semidirect |
| 33. #65838 | C22 | semidirect |
| 35. #65811 | C22 | semidirect |
| 37. C5×#490 | C22 | semidirect |
| 38. C5×#490 | C22 | semidirect |
| 39. C2×C5×#102 | C22 | semidirect |
| 40. C2×C5×#97 | C22 | semidirect |
| 42. #65391 | C22 | semidirect |
| 43. #65365 | C22 | semidirect |
| 44. #65363 | C22 | semidirect |
| 45. #65362 | C22 | semidirect |
| 46. #65358 | C22 | semidirect |
| 47. #65357 | C22 | semidirect |
| 48. #65356 | C22 | semidirect |
| 49. #65255 | C22 | semidirect |
| 50. C4×#681 | C22 | semidirect |
| 51. #65076 | C22 | semidirect |
| 52. #65075 | C22 | semidirect |
| 53. #65072 | C22 | semidirect |
| 54. #65070 | C22 | semidirect |
| 55. #65065 | C22 | semidirect |
| 56. #65062 | C22 | semidirect |
| 57. #65056 | C22 | semidirect |
| 58. #65051 | C22 | semidirect |
| 59. #65004 | C22 | semidirect |
| 60. #65004 | C22 | semidirect |
| 61. #65001 | C22 | semidirect |
| 62. #65001 | C22 | semidirect |
| 63. #64998 | C22 | semidirect |
| 64. #64994 | C22 | semidirect |
| 159. C2×#490 | D5 | semidirect |
| 259. C2×#125 | C2×D5 | semidirect |
| 271. #490 | C2×D5 | semidirect |
| 272. #490 | C2×D5 | semidirect |
| 286. C2×#102 | C2×D5 | semidirect |
| 289. C2×#97 | C2×D5 | semidirect |
| 576. C5 | #60830 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618096 | 2 |
| #10617988 | 2 |
| C2×C5×#490 | 2 |
| #10614894 | 2 |
| #10614743 | 2 |
| #10613451 | 2 |
| #10613450 | 2 |
| #10613449 | 2 |
| #10613448 | 2 |
| #10610498 | 2 |
| #10610478 | 2 |
| #10610230 | 2 |
| #10610220 | 2 |
| #60830 | 5 |