Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
3114 conjugacy classes of subgroups.
The subgroup lattice has 462 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×C5×#578 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10619193 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#66172 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C2×#66087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10615706 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #10615703 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #10615638 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #10615634 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #10615612 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | C2×#65470 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | Dic5×#131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×C5×2−1+4 | C22 | 1 | 2 | yes | — |
| 13 | C2×#4150 | C22 | 1 | 2 | yes | — |
| 14 | C5×#578 | — | 2 | 8 | no | — |
| 15 | C2×C5×#137 | C22 | 1 | 6 | yes | — |
| 16 | C2×C5×#135 | C22 | 1 | 3 | yes | — |
| 17 | C22×C5×Q16 | C22 | 1 | 3 | yes | — |
| 18 | C2×C5×#131 | C22 | 1 | 1 | yes | characteristic |
| 19 | #66172 | — | 2 | 16 | no | — |
| 20 | #66166 | C22 | 1 | 6 | yes | — |
| 21 | #41×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 22 | #66159 | C22 | 1 | 6 | yes | — |
| 23 | #66158 | — | 2 | 12 | no | — |
| 24 | C2×#4097 | C22 | 1 | 6 | yes | — |
| 25 | C2×#4096 | C22 | 1 | 6 | yes | — |
| 26 | C2×#4094 | C22 | 1 | 1 | yes | characteristic |
| 27 | #66150 | C22 | 1 | 6 | yes | — |
| 28 | Q8×C22⋊D5 | — | 2 | 4 | no | — |
| 29 | C2×#4090 | C22 | 1 | 6 | yes | — |
| 30 | C22×#689 | C22 | 1 | 6 | yes | — |
| 31 | C2×#4088 | C22 | 1 | 6 | yes | — |
| 32 | #66087 | — | 2 | 8 | no | — |
| 33 | C2×#4055 | C22 | 1 | 6 | yes | — |
| 34 | C22×Dic20 | C22 | 1 | 3 | yes | — |
| 35 | C2×#4050 | C22 | 1 | 3 | yes | — |
| 36 | #65480 | C22 | 1 | 3 | yes | — |
| 37 | #65479 | C22 | 1 | 12 | yes | — |
| 38 | #65470 | C22 | 1 | 3 | yes | — |
| 39 | #65470 | C22 | 1 | 6 | yes | — |
| 40 | #65470 | C22 | 1 | 6 | yes | — |
| 41 | #65470 | C22 | 1 | 6 | yes | — |
| 42 | #65464 | C22 | 1 | 6 | yes | — |
| 43 | #65457 | C22 | 1 | 6 | yes | — |
| 44 | #65456 | C22 | 1 | 12 | yes | — |
| 45 | #65444 | C22 | 1 | 3 | yes | — |
| 46 | #65440 | C22 | 1 | 1 | yes | characteristic |
| 47 | #65411 | C22 | 1 | 3 | yes | — |
| 48 | M16×Dic5 | C22 | 1 | 3 | yes | — |
| 49 | #65390 | C22 | 1 | 3 | yes | — |
| 50 | C2×C8×Dic5 | C22 | 1 | 3 | yes | — |
| 51 | #60648 | — | 5 | 1 | no | maximal, Sylow |
| 52 | C5×2−1+4 | — | 2 | 8 | no | — |
| 53 | C5×2−1+4 | — | 2 | 8 | no | — |
| 54 | C2×C5×#41 | — | 2 | 6 | no | — |
| 55 | C2×C5×#41 | C23 | 1 | 6 | yes | — |
| 56 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 57 | C22×C5×Q8 | — | 2 | 2 | no | — |
| 58 | C22×C5×Q8 | C23 | 1 | 6 | yes | — |
| 59 | #4150 | — | 2 | 8 | no | — |
| 60 | #4150 | — | 2 | 8 | no | — |
| 61 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 62 | C2×#711 | — | 2 | 6 | no | — |
| 63 | C2×#709 | C23 | 1 | 6 | yes | — |
| 64 | C22×Dic10 | C23 | 1 | 6 | yes | — |
| 65 | C5×#137 | — | 2 | 24 | no | — |
| 66 | C5×#135 | — | 2 | 12 | no | — |
| 67 | C2×C5×Q16 | — | 2 | 12 | no | — |
| 68 | C2×C5×Q16 | C23 | 1 | 3 | yes | — |
| 69 | C2×C5×Q16 | C23 | 1 | 6 | yes | — |
| 70 | C2×C5×SD16 | C23 | 1 | 6 | yes | — |
| 71 | C2×C5×D8 | C23 | 1 | 1 | yes | characteristic |
| 72 | C5×#131 | D4 | 1 | 8 | yes | complemented |
| 73 | C2×C5×M16 | C23 | 1 | 3 | yes | — |
| 74 | C22×C5×C8 | C23 | 1 | 3 | yes | — |
| 75 | #4097 | — | 2 | 24 | no | — |
| 76 | #4096 | — | 2 | 24 | no | — |
| 77 | #4094 | D4 | 1 | 8 | yes | complemented |
| 78 | #4093 | C23 | 1 | 6 | yes | — |
| 79 | #4092 | — | 2 | 12 | no | — |
| 80 | Q8×Dic5 | D4 | 1 | 2 | yes | — |
| 81 | #4090 | — | 2 | 12 | no | — |
| 82 | #4090 | C23 | 1 | 6 | yes | — |
| 83 | #4090 | C23 | 1 | 12 | yes | — |
| 84 | C2×#689 | — | 2 | 24 | no | — |
| 85 | C2×#689 | C23 | 1 | 12 | yes | — |
| 86 | C2×#689 | C23 | 1 | 6 | yes | — |
| 87 | #4088 | — | 2 | 24 | no | — |
| 88 | C2×#688 | C23 | 1 | 6 | yes | — |
| 89 | #4086 | C23 | 1 | 2 | yes | — |
| 90 | #4085 | — | 2 | 12 | no | — |
| 91 | #4082 | C23 | 1 | 6 | yes | — |
| 92 | #4081 | — | 2 | 12 | no | — |
| 93 | D4×Dic5 | D4 | 1 | 6 | yes | — |
| 94 | C2×#687 | C23 | 1 | 6 | yes | — |
| 95 | C2×#686 | C23 | 1 | 2 | yes | — |
| 96 | #4075 | — | 2 | 12 | no | — |
| 97 | C4×C22⋊D5 | — | 2 | 12 | no | — |
| 98 | #4072 | C23 | 1 | 3 | yes | — |
| 99 | #4070 | — | 2 | 12 | no | — |
| 100 | C2×#683 | — | 2 | 12 | no | — |
| 101 | C2×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 102 | C2×#681 | C23 | 1 | 3 | yes | — |
| 103 | C22×#168 | C23 | 1 | 3 | yes | — |
| 104 | #4055 | — | 2 | 24 | no | — |
| 105 | C2×Dic20 | — | 2 | 12 | no | — |
| 106 | C2×Dic20 | C23 | 1 | 3 | yes | — |
| 107 | C2×Dic20 | C23 | 1 | 6 | yes | — |
| 108 | #4050 | — | 2 | 12 | no | — |
| 109 | C2×D40 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×#677 | C23 | 1 | 6 | yes | — |
| 111 | #3947 | C23 | 1 | 6 | yes | — |
| 112 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 113 | C8×Dic5 | C23 | 1 | 3 | yes | — |
| 114 | C8×Dic5 | C23 | 1 | 3 | yes | — |
| 115 | C8×Dic5 | C23 | 1 | 3 | yes | — |
| 116 | C2×#578 | — | 5 | 2 | no | — |
| 117 | C2×#578 | — | 5 | 1 | no | — |
| 118 | C2×#578 | D5 | 1 | 1 | yes | characteristic, complemented |
| 119 | #3499 | — | 5 | 2 | no | — |
| 120 | #3156 | — | 5 | 6 | no | — |
| 121 | #3156 | — | 5 | 3 | no | — |
| 122 | #3156 | — | 5 | 3 | no | — |
| 123 | #3152 | — | 5 | 6 | no | — |
| 124 | #3147 | — | 5 | 3 | no | — |
| 125 | C2×#494 | — | 5 | 3 | no | — |
| 126 | C4×#131 | — | 5 | 1 | no | — |
| 127 | C5×#41 | — | 2 | 12 | no | — |
| 128 | C5×#41 | — | 2 | 12 | no | — |
| 129 | C5×#41 | — | 4 | 24 | no | — |
| 130 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 131 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 132 | C2×C5×Q8 | — | 2 | 6 | no | — |
| 133 | C2×C5×Q8 | — | 2 | 12 | no | — |
| 134 | C2×C5×Q8 | — | 2 | 12 | no | — |
| 135 | C2×C5×Q8 | — | 4 | 8 | no | — |
| 136 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C2×C5×Q8 | C24 | 1 | 6 | yes | — |
| 138 | C2×C5×D4 | — | 2 | 6 | no | — |
| 139 | C2×C5×D4 | C2×D4 | 1 | 3 | yes | — |
| 140 | C2×C5×D4 | C24 | 1 | 2 | yes | — |
| 141 | C22×C4×C5 | — | 2 | 6 | no | — |
| 142 | C22×C4×C5 | — | 2 | 6 | no | — |
| 143 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 144 | C2×C22⋊D5 | — | 2 | 6 | no | — |
| 145 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 146 | C22×Dic5 | — | 2 | 6 | no | — |
| 147 | C22×Dic5 | C2×D4 | 1 | 6 | yes | — |
| 148 | Q8×D5 | — | 4 | 8 | no | — |
| 149 | #711 | — | 4 | 24 | no | — |
| 150 | #709 | — | 2 | 12 | no | — |
| 151 | #709 | — | 2 | 12 | no | — |
| 152 | C2×D20 | C24 | 1 | 2 | yes | — |
| 153 | C2×C4×D5 | — | 2 | 6 | no | — |
| 154 | C2×Dic10 | — | 2 | 12 | no | — |
| 155 | C2×Dic10 | — | 2 | 12 | no | — |
| 156 | C2×Dic10 | — | 2 | 6 | no | — |
| 157 | C2×Dic10 | C24 | 1 | 6 | yes | — |
| 158 | C5×Q16 | — | 2 | 6 | no | — |
| 159 | C5×Q16 | — | 2 | 12 | no | — |
| 160 | C5×SD16 | — | 2 | 12 | no | — |
| 161 | C5×D8 | — | 2 | 2 | no | — |
| 162 | C5×M16 | C2×D4 | 1 | 12 | yes | — |
| 163 | C2×C5×C8 | C2×D4 | 1 | 12 | yes | — |
| 164 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 165 | C2×C5×C8 | C24 | 1 | 3 | yes | — |
| 166 | C22⋊Dic5 | — | 2 | 12 | no | — |
| 167 | C22⋊Dic5 | C2×D4 | 1 | 6 | yes | — |
| 168 | #689 | — | 2 | 12 | no | — |
| 169 | #689 | — | 2 | 24 | no | — |
| 170 | #688 | — | 2 | 12 | no | — |
| 171 | #687 | — | 2 | 12 | no | — |
| 172 | #686 | — | 2 | 4 | no | — |
| 173 | #685 | — | 2 | 12 | no | — |
| 174 | C4⋊Dic5 | C2×D4 | 1 | 6 | yes | — |
| 175 | #683 | — | 2 | 12 | no | — |
| 176 | #683 | — | 2 | 24 | no | — |
| 177 | C4×Dic5 | C2×D4 | 1 | 6 | yes | — |
| 178 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 179 | C4×Dic5 | C24 | 1 | 3 | yes | — |
| 180 | #681 | C2×D4 | 1 | 12 | yes | — |
| 181 | C2×#168 | C2×D4 | 1 | 12 | yes | — |
| 182 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 183 | C2×#168 | C24 | 1 | 3 | yes | — |
| 184 | Dic20 | — | 2 | 6 | no | — |
| 185 | Dic20 | — | 2 | 12 | no | — |
| 186 | D40 | — | 2 | 2 | no | — |
| 187 | #677 | — | 2 | 12 | no | — |
| 188 | C2×2−1+4 | — | 5 | 2 | no | — |
| 189 | C2×2−1+4 | C2×D5 | 1 | 2 | yes | — |
| 190 | #578 | — | 2 | 8 | no | — |
| 191 | #578 | — | 10 | 16 | no | — |
| 192 | #578 | — | 10 | 8 | no | — |
| 193 | C2×#137 | — | 5 | 6 | no | — |
| 194 | C2×#137 | — | 5 | 6 | no | — |
| 195 | C2×#137 | — | 5 | 6 | no | — |
| 196 | C2×#137 | C2×D5 | 1 | 6 | yes | — |
| 197 | C2×#135 | — | 5 | 6 | no | — |
| 198 | C2×#135 | — | 5 | 3 | no | — |
| 199 | C2×#135 | C2×D5 | 1 | 3 | yes | — |
| 200 | C22×Q16 | — | 5 | 6 | no | — |
| 201 | C22×Q16 | — | 5 | 3 | no | — |
| 202 | C22×Q16 | C2×D5 | 1 | 3 | yes | — |
| 203 | C2×#131 | — | 5 | 1 | no | — |
| 204 | C2×#131 | C2×D5 | 1 | 1 | yes | characteristic |
| 205 | D4×Q8 | — | 10 | 4 | no | — |
| 206 | #547 | — | 10 | 12 | no | — |
| 207 | #536 | — | 5 | 6 | no | — |
| 208 | #536 | — | 5 | 6 | no | — |
| 209 | #532 | — | 5 | 6 | no | — |
| 210 | C2×C4⋊Q8 | — | 5 | 6 | no | — |
| 211 | C4×#41 | — | 5 | 1 | no | — |
| 212 | #497 | — | 5 | 12 | no | — |
| 213 | #497 | — | 5 | 12 | no | — |
| 214 | #495 | — | 5 | 3 | no | — |
| 215 | #495 | — | 5 | 6 | no | — |
| 216 | #495 | — | 5 | 3 | no | — |
| 217 | #494 | — | 5 | 3 | no | — |
| 218 | #494 | — | 5 | 6 | no | — |
| 219 | #494 | — | 5 | 6 | no | — |
| 220 | #494 | — | 5 | 6 | no | — |
| 221 | #493 | — | 5 | 1 | no | — |
| 222 | #492 | — | 5 | 6 | no | — |
| 223 | #405 | — | 5 | 3 | no | — |
| 224 | #405 | — | 5 | 3 | no | — |
| 225 | C4×M16 | — | 5 | 3 | no | — |
| 226 | C2×C4×C8 | — | 5 | 3 | no | — |
| 227 | C23×C5 | — | 2 | 2 | no | — |
| 228 | C23×C5 | C22×D4 | 1 | 3 | yes | — |
| 229 | C22×D5 | — | 2 | 2 | no | — |
| 230 | C5×Q8 | — | 2 | 6 | no | — |
| 231 | C5×Q8 | — | 2 | 6 | no | — |
| 232 | C5×Q8 | — | 4 | 12 | no | — |
| 233 | C5×Q8 | #127 | 1 | 4 | yes | — |
| 234 | C5×D4 | — | 2 | 2 | no | — |
| 235 | C5×D4 | — | 2 | 2 | no | — |
| 236 | C5×D4 | — | 4 | 12 | no | — |
| 237 | C5×D4 | #127 | 1 | 12 | yes | — |
| 238 | C2×C4×C5 | — | 2 | 6 | no | — |
| 239 | C2×C4×C5 | — | 4 | 12 | no | — |
| 240 | C2×C4×C5 | — | 4 | 12 | no | — |
| 241 | C2×C4×C5 | C22×D4 | 1 | 3 | yes | — |
| 242 | C2×C4×C5 | C22×D4 | 1 | 6 | yes | — |
| 243 | C2×C4×C5 | C22×D4 | 1 | 6 | yes | — |
| 244 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 245 | C22⋊D5 | — | 4 | 12 | no | — |
| 246 | C22⋊D5 | — | 4 | 8 | no | — |
| 247 | C2×Dic5 | — | 2 | 12 | no | — |
| 248 | C2×Dic5 | — | 2 | 6 | no | — |
| 249 | C2×Dic5 | — | 4 | 12 | no | — |
| 250 | C2×Dic5 | C22×D4 | 1 | 6 | yes | — |
| 251 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 252 | D20 | — | 2 | 2 | no | — |
| 253 | D20 | — | 2 | 2 | no | — |
| 254 | C4×D5 | — | 4 | 12 | no | — |
| 255 | Dic10 | — | 2 | 6 | no | — |
| 256 | Dic10 | — | 2 | 6 | no | — |
| 257 | Dic10 | — | 4 | 12 | no | — |
| 258 | C5×C8 | C22×D4 | 1 | 6 | yes | — |
| 259 | C5×C8 | C22×D4 | 1 | 2 | yes | — |
| 260 | #168 | C22×D4 | 1 | 2 | yes | — |
| 261 | #168 | C22×D4 | 1 | 6 | yes | — |
| 262 | 2−1+4 | — | 2 | 8 | no | — |
| 263 | 2−1+4 | — | 2 | 8 | no | — |
| 264 | 2−1+4 | — | 10 | 8 | no | — |
| 265 | 2−1+4 | — | 10 | 8 | no | — |
| 266 | C2×#41 | — | 2 | 6 | no | — |
| 267 | C2×#41 | — | 5 | 6 | no | — |
| 268 | C2×#41 | — | 10 | 6 | no | — |
| 269 | C2×#41 | C22×D5 | 1 | 6 | yes | — |
| 270 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 271 | C22×Q8 | — | 2 | 2 | no | — |
| 272 | C22×Q8 | — | 5 | 6 | no | — |
| 273 | C22×Q8 | — | 10 | 2 | no | — |
| 274 | C22×Q8 | C22×D5 | 1 | 6 | yes | — |
| 275 | #137 | — | 2 | 24 | no | — |
| 276 | #137 | — | 10 | 24 | no | — |
| 277 | #137 | — | 10 | 24 | no | — |
| 278 | #137 | — | 10 | 24 | no | — |
| 279 | #135 | — | 2 | 12 | no | — |
| 280 | #135 | — | 10 | 24 | no | — |
| 281 | #135 | — | 10 | 12 | no | — |
| 282 | C2×Q16 | — | 2 | 12 | no | — |
| 283 | C2×Q16 | — | 5 | 6 | no | — |
| 284 | C2×Q16 | — | 5 | 12 | no | — |
| 285 | C2×Q16 | — | 5 | 3 | no | — |
| 286 | C2×Q16 | — | 5 | 6 | no | — |
| 287 | C2×Q16 | — | 10 | 24 | no | — |
| 288 | C2×Q16 | — | 10 | 12 | no | — |
| 289 | C2×Q16 | C22×D5 | 1 | 3 | yes | — |
| 290 | C2×Q16 | C22×D5 | 1 | 6 | yes | — |
| 291 | C2×SD16 | — | 5 | 6 | no | — |
| 292 | C2×SD16 | — | 5 | 6 | no | — |
| 293 | C2×SD16 | — | 5 | 6 | no | — |
| 294 | C2×SD16 | C22×D5 | 1 | 6 | yes | — |
| 295 | C2×D8 | — | 5 | 2 | no | — |
| 296 | C2×D8 | — | 5 | 1 | no | — |
| 297 | C2×D8 | C22×D5 | 1 | 1 | yes | characteristic |
| 298 | #131 | — | 5 | 8 | no | — |
| 299 | #131 | C22⋊D5 | 1 | 8 | yes | complemented |
| 300 | C2×M16 | — | 5 | 3 | no | — |
| 301 | C2×M16 | C22×D5 | 1 | 3 | yes | — |
| 302 | C22×C8 | — | 5 | 3 | no | — |
| 303 | C22×C8 | C22×D5 | 1 | 3 | yes | — |
| 304 | C4⋊Q8 | — | 5 | 6 | no | — |
| 305 | C4⋊Q8 | — | 5 | 12 | no | — |
| 306 | C4⋊Q8 | — | 10 | 12 | no | — |
| 307 | #127 | — | 5 | 2 | no | — |
| 308 | #124 | — | 5 | 6 | no | — |
| 309 | #124 | — | 5 | 6 | no | — |
| 310 | #123 | — | 10 | 12 | no | — |
| 311 | #123 | — | 10 | 12 | no | — |
| 312 | C22⋊Q8 | — | 10 | 12 | no | — |
| 313 | C22⋊Q8 | — | 10 | 12 | no | — |
| 314 | #121 | — | 10 | 12 | no | — |
| 315 | C4×Q8 | — | 5 | 2 | no | — |
| 316 | C4×D4 | — | 5 | 6 | no | — |
| 317 | C4×D4 | — | 10 | 12 | no | — |
| 318 | #117 | — | 5 | 3 | no | — |
| 319 | C2×C4⋊C4 | — | 10 | 12 | no | — |
| 320 | C2×C42 | — | 5 | 3 | no | — |
| 321 | #97 | — | 5 | 6 | no | — |
| 322 | C4×C8 | — | 5 | 1 | no | — |
| 323 | C4×C8 | — | 5 | 3 | no | — |
| 324 | C4×C8 | — | 5 | 3 | no | — |
| 325 | C4×C8 | — | 5 | 3 | no | — |
| 326 | C22×C5 | — | 2 | 6 | no | — |
| 327 | C22×C5 | — | 4 | 2 | no | — |
| 328 | C22×C5 | — | 4 | 4 | no | — |
| 329 | C22×C5 | C2×#127 | 1 | 6 | yes | — |
| 330 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 331 | C2×D5 | — | 4 | 2 | no | — |
| 332 | C2×D5 | — | 4 | 4 | no | — |
| 333 | C4×C5 | — | 4 | 6 | no | — |
| 334 | C4×C5 | C2×#127 | 1 | 6 | yes | — |
| 335 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 336 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 337 | Dic5 | — | 2 | 6 | no | — |
| 338 | Dic5 | — | 4 | 6 | no | — |
| 339 | Dic5 | #578 | 1 | 4 | yes | complemented |
| 340 | #41 | — | 2 | 12 | no | — |
| 341 | #41 | — | 2 | 12 | no | — |
| 342 | #41 | — | 4 | 24 | no | — |
| 343 | #41 | — | 10 | 12 | no | — |
| 344 | #41 | — | 10 | 12 | no | — |
| 345 | #41 | — | 20 | 24 | no | — |
| 346 | #41 | D4×D5 | 1 | 4 | yes | — |
| 347 | #41 | C2×C22⋊D5 | 1 | 4 | yes | — |
| 348 | C2×Q8 | — | 2 | 6 | no | — |
| 349 | C2×Q8 | — | 2 | 12 | no | — |
| 350 | C2×Q8 | — | 2 | 12 | no | — |
| 351 | C2×Q8 | — | 4 | 8 | no | — |
| 352 | C2×Q8 | — | 5 | 6 | no | — |
| 353 | C2×Q8 | — | 10 | 6 | no | — |
| 354 | C2×Q8 | — | 10 | 12 | no | — |
| 355 | C2×Q8 | — | 10 | 12 | no | — |
| 356 | C2×Q8 | — | 20 | 8 | no | — |
| 357 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 358 | C2×Q8 | C23×D5 | 1 | 6 | yes | — |
| 359 | C2×D4 | — | 2 | 6 | no | — |
| 360 | C2×D4 | — | 5 | 2 | no | — |
| 361 | C2×D4 | — | 10 | 4 | no | — |
| 362 | C2×D4 | — | 10 | 6 | no | — |
| 363 | C2×D4 | D4×D5 | 1 | 3 | yes | — |
| 364 | C2×D4 | C23×D5 | 1 | 2 | yes | — |
| 365 | C22×C4 | — | 2 | 6 | no | — |
| 366 | C22×C4 | — | 2 | 6 | no | — |
| 367 | C22×C4 | — | 5 | 6 | no | — |
| 368 | C22×C4 | — | 10 | 6 | no | — |
| 369 | C22×C4 | — | 10 | 6 | no | — |
| 370 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 371 | Q16 | — | 2 | 6 | no | — |
| 372 | Q16 | — | 2 | 12 | no | — |
| 373 | Q16 | — | 10 | 12 | no | — |
| 374 | Q16 | — | 10 | 24 | no | — |
| 375 | Q16 | — | 10 | 6 | no | — |
| 376 | Q16 | — | 10 | 12 | no | — |
| 377 | SD16 | — | 2 | 12 | no | — |
| 378 | SD16 | — | 10 | 12 | no | — |
| 379 | SD16 | — | 10 | 12 | no | — |
| 380 | SD16 | — | 10 | 12 | no | — |
| 381 | D8 | — | 2 | 2 | no | — |
| 382 | D8 | — | 10 | 4 | no | — |
| 383 | D8 | — | 10 | 2 | no | — |
| 384 | M16 | — | 5 | 12 | no | — |
| 385 | M16 | C2×C22⋊D5 | 1 | 12 | yes | — |
| 386 | C2×C8 | — | 5 | 12 | no | — |
| 387 | C2×C8 | — | 5 | 1 | no | — |
| 388 | C2×C8 | — | 5 | 3 | no | — |
| 389 | C2×C8 | C2×C22⋊D5 | 1 | 12 | yes | — |
| 390 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 391 | C2×C8 | C23×D5 | 1 | 3 | yes | — |
| 392 | C4⋊C4 | — | 5 | 6 | no | — |
| 393 | C4⋊C4 | — | 10 | 12 | no | — |
| 394 | C4⋊C4 | — | 10 | 24 | no | — |
| 395 | C22⋊C4 | — | 5 | 6 | no | — |
| 396 | C22⋊C4 | — | 10 | 12 | no | — |
| 397 | C22⋊C4 | — | 10 | 12 | no | — |
| 398 | C42 | — | 5 | 6 | no | — |
| 399 | C42 | — | 5 | 1 | no | — |
| 400 | C42 | — | 5 | 3 | no | — |
| 401 | C2×C5 | — | 2 | 6 | no | — |
| 402 | C2×C5 | — | 8 | 2 | no | — |
| 403 | C2×C5 | C22×#127 | 1 | 1 | yes | characteristic |
| 404 | C2×C5 | C2×#578 | 1 | 2 | yes | — |
| 405 | D5 | — | 8 | 2 | no | — |
| 406 | C23 | — | 2 | 2 | no | — |
| 407 | C23 | — | 10 | 2 | no | — |
| 408 | C23 | C2×D4×D5 | 1 | 3 | yes | — |
| 409 | Q8 | — | 2 | 6 | no | — |
| 410 | Q8 | — | 2 | 6 | no | — |
| 411 | Q8 | — | 4 | 12 | no | — |
| 412 | Q8 | — | 10 | 6 | no | — |
| 413 | Q8 | — | 10 | 6 | no | — |
| 414 | Q8 | — | 20 | 12 | no | — |
| 415 | Q8 | #4086 | 1 | 4 | yes | — |
| 416 | D4 | — | 2 | 2 | no | — |
| 417 | D4 | — | 2 | 2 | no | — |
| 418 | D4 | — | 4 | 12 | no | — |
| 419 | D4 | — | 10 | 2 | no | — |
| 420 | D4 | — | 10 | 2 | no | — |
| 421 | D4 | — | 20 | 8 | no | — |
| 422 | D4 | — | 20 | 12 | no | — |
| 423 | D4 | #4086 | 1 | 12 | yes | — |
| 424 | C2×C4 | — | 2 | 6 | no | — |
| 425 | C2×C4 | — | 4 | 12 | no | — |
| 426 | C2×C4 | — | 4 | 12 | no | — |
| 427 | C2×C4 | — | 5 | 2 | no | — |
| 428 | C2×C4 | — | 5 | 6 | no | — |
| 429 | C2×C4 | — | 10 | 12 | no | — |
| 430 | C2×C4 | — | 10 | 6 | no | — |
| 431 | C2×C4 | — | 20 | 12 | no | — |
| 432 | C2×C4 | — | 20 | 12 | no | — |
| 433 | C2×C4 | C2×D4×D5 | 1 | 3 | yes | — |
| 434 | C2×C4 | C2×D4×D5 | 1 | 6 | yes | — |
| 435 | C2×C4 | C22×C22⋊D5 | 1 | 6 | yes | — |
| 436 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 437 | C8 | — | 5 | 2 | no | — |
| 438 | C8 | — | 5 | 6 | no | — |
| 439 | C8 | C22×C22⋊D5 | 1 | 2 | yes | — |
| 440 | C8 | C22×C22⋊D5 | 1 | 6 | yes | — |
| 441 | C5 | #60648 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 442 | C22 | — | 2 | 6 | no | — |
| 443 | C22 | — | 4 | 4 | no | — |
| 444 | C22 | — | 4 | 2 | no | — |
| 445 | C22 | — | 20 | 4 | no | — |
| 446 | C22 | — | 20 | 2 | no | — |
| 447 | C22 | C2×#4086 | 1 | 6 | yes | — |
| 448 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 449 | C4 | — | 4 | 6 | no | — |
| 450 | C4 | — | 5 | 4 | no | — |
| 451 | C4 | — | 10 | 6 | no | — |
| 452 | C4 | — | 20 | 6 | no | — |
| 453 | C4 | C2×#4086 | 1 | 6 | yes | — |
| 454 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 455 | C4 | C23×C22⋊D5 | 1 | 1 | yes | characteristic |
| 456 | C2 | — | 2 | 6 | no | — |
| 457 | C2 | — | 8 | 2 | no | — |
| 458 | C2 | — | 40 | 2 | no | — |
| 459 | C2 | D5×#578 | 1 | 2 | yes | — |
| 460 | C2 | C22×#4086 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×C5×#578 | C2 | semidirect |
| 2. #10619193 | C2 | semidirect |
| 3. C2×#66172 | C2 | semidirect |
| 4. C2×#66087 | C2 | semidirect |
| 5. #10615706 | C2 | semidirect |
| 6. #10615703 | C2 | semidirect |
| 7. #10615638 | C2 | semidirect |
| 8. #10615634 | C2 | semidirect |
| 9. #10615612 | C2 | semidirect |
| 10. C2×#65470 | C2 | semidirect |
| 11. Dic5×#131 | C2 | semidirect |
| 72. C5×#131 | D4 | semidirect |
| 77. #4094 | D4 | semidirect |
| 118. C2×#578 | D5 | semidirect |
| 299. #131 | C22⋊D5 | semidirect |
| 339. Dic5 | #578 | semidirect |
| 441. C5 | #60648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#578 | 2 |
| #10619193 | 2 |
| C2×#66172 | 2 |
| C2×#66087 | 2 |
| #10615706 | 2 |
| #10615703 | 2 |
| #10615638 | 2 |
| #10615634 | 2 |
| #10615612 | 2 |
| C2×#65470 | 2 |
| Dic5×#131 | 2 |
| #60648 | 5 |