← D5×#3458 #13006140
Subgroups — D5×#3458 #13006140
Order 1280.
7022 conjugacy classes of subgroups.
The subgroup lattice has 392 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C5×#3458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D5×#544 | C2 | 1 | 12 | yes | maximal, complemented |
| 3 | #10618482 | C2 | 1 | 12 | yes | maximal, complemented |
| 4 | D5×#543 | C2 | 1 | 4 | yes | maximal |
| 5 | #10618472 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10618175 | C2 | 1 | 12 | yes | maximal, complemented |
| 7 | D5×#533 | C2 | 1 | 12 | yes | maximal, complemented |
| 8 | C2×D5×#117 | C2 | 1 | 3 | yes | maximal |
| 9 | #10617626 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | C23×C4×D5 | C22 | 1 | 1 | yes | characteristic |
| 11 | C5×#544 | C22 | 1 | 12 | yes | complemented |
| 12 | C5×#543 | C22 | 1 | 4 | yes | — |
| 13 | C5×#533 | C22 | 1 | 12 | yes | complemented |
| 14 | C2×C5×#117 | C22 | 1 | 3 | yes | — |
| 15 | C2×#4072 | C22 | 1 | 3 | yes | — |
| 16 | #66063 | C22 | 1 | 48 | yes | complemented |
| 17 | #66062 | C22 | 1 | 24 | yes | complemented |
| 18 | D5×C4⋊Q8 | C22 | 1 | 24 | yes | complemented |
| 19 | #66023 | C22 | 1 | 48 | yes | complemented |
| 20 | #66022 | C22 | 1 | 24 | yes | complemented |
| 21 | D5×#125 | C22 | 1 | 24 | yes | complemented |
| 22 | #65968 | C22 | 1 | 48 | yes | — |
| 23 | D5×C22⋊Q8 | C22 | 1 | 48 | yes | — |
| 24 | #65957 | C22 | 1 | 48 | yes | complemented |
| 25 | #65956 | C22 | 1 | 48 | yes | complemented |
| 26 | #65912 | C22 | 1 | 48 | yes | complemented |
| 27 | C4×Q8×D5 | C22 | 1 | 16 | yes | complemented |
| 28 | D5×#117 | C22 | 1 | 12 | yes | — |
| 29 | D5×#117 | C22 | 1 | 12 | yes | — |
| 30 | D5×#117 | C22 | 1 | 12 | yes | — |
| 31 | D5×#117 | C22 | 1 | 12 | yes | — |
| 32 | #65853 | C22 | 1 | 24 | yes | complemented |
| 33 | #65851 | C22 | 1 | 24 | yes | complemented |
| 34 | C2×#4038 | C22 | 1 | 6 | yes | — |
| 35 | C2×D5×C4⋊C4 | C22 | 1 | 6 | yes | — |
| 36 | #65834 | C22 | 1 | 12 | yes | complemented |
| 37 | C2×D5×C22⋊C4 | C22 | 1 | 6 | yes | — |
| 38 | #65817 | C22 | 1 | 12 | yes | — |
| 39 | C2×#4023 | C22 | 1 | 6 | yes | — |
| 40 | C2×#4018 | C22 | 1 | 6 | yes | — |
| 41 | C2×C42×D5 | C22 | 1 | 6 | yes | — |
| 42 | #65804 | C22 | 1 | 12 | yes | complemented |
| 43 | C2×#3458 | — | 5 | 1 | no | maximal, Sylow |
| 44 | C24×D5 | C23 | 1 | 1 | yes | characteristic |
| 45 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 46 | C23×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 47 | C2×Q8×D5 | C23 | 1 | 16 | yes | — |
| 48 | C22×C4×D5 | Q8 | 1 | 16 | yes | complemented |
| 49 | C22×C4×D5 | C23 | 1 | 12 | yes | — |
| 50 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 51 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 52 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 53 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 54 | C5×C4⋊Q8 | C23 | 1 | 24 | yes | complemented |
| 55 | C5×#125 | C23 | 1 | 24 | yes | complemented |
| 56 | C5×C22⋊Q8 | C23 | 1 | 48 | yes | — |
| 57 | C4×C5×Q8 | C23 | 1 | 16 | yes | complemented |
| 58 | C5×#117 | C23 | 1 | 12 | yes | — |
| 59 | C5×#117 | C23 | 1 | 12 | yes | — |
| 60 | C2×C5×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 61 | C2×C5×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 62 | C2×C42×C5 | C23 | 1 | 6 | yes | — |
| 63 | C2×C22⋊Dic5 | C23 | 1 | 6 | yes | — |
| 64 | #4092 | C23 | 1 | 48 | yes | — |
| 65 | Q8×Dic5 | C23 | 1 | 16 | yes | complemented |
| 66 | #4090 | C23 | 1 | 48 | yes | complemented |
| 67 | C2×#685 | C23 | 1 | 12 | yes | — |
| 68 | #4072 | C23 | 1 | 12 | yes | — |
| 69 | #4072 | C23 | 1 | 12 | yes | — |
| 70 | C2×C4⋊Dic5 | C23 | 1 | 6 | yes | — |
| 71 | #4070 | C23 | 1 | 48 | yes | — |
| 72 | C2×#683 | C23 | 1 | 12 | yes | — |
| 73 | C2×C4×Dic5 | C23 | 1 | 6 | yes | — |
| 74 | C2×C4×Dic5 | C23 | 1 | 12 | yes | — |
| 75 | #4043 | C23 | 1 | 48 | yes | — |
| 76 | #4042 | C23 | 1 | 96 | yes | — |
| 77 | #4038 | C23 | 1 | 24 | yes | — |
| 78 | #4038 | C23 | 1 | 24 | yes | — |
| 79 | D5×C4⋊C4 | C23 | 1 | 24 | yes | — |
| 80 | D5×C4⋊C4 | C23 | 1 | 48 | yes | — |
| 81 | D5×C4⋊C4 | C23 | 1 | 24 | yes | — |
| 82 | #4036 | C23 | 1 | 48 | yes | complemented |
| 83 | #4035 | C23 | 1 | 96 | yes | complemented |
| 84 | #4034 | C23 | 1 | 48 | yes | complemented |
| 85 | #4034 | C23 | 1 | 48 | yes | complemented |
| 86 | #4033 | C23 | 1 | 48 | yes | complemented |
| 87 | D5×C22⋊C4 | C23 | 1 | 24 | yes | — |
| 88 | D5×C22⋊C4 | C23 | 1 | 24 | yes | — |
| 89 | #4024 | C23 | 1 | 96 | yes | — |
| 90 | #4023 | C23 | 1 | 24 | yes | — |
| 91 | #4023 | C23 | 1 | 24 | yes | — |
| 92 | #4018 | C23 | 1 | 24 | yes | — |
| 93 | #4018 | C23 | 1 | 24 | yes | — |
| 94 | C42×D5 | C23 | 1 | 12 | yes | — |
| 95 | C42×D5 | C23 | 1 | 12 | yes | — |
| 96 | C42×D5 | C23 | 1 | 12 | yes | — |
| 97 | C42×D5 | C23 | 1 | 12 | yes | — |
| 98 | #4016 | C23 | 1 | 24 | yes | complemented |
| 99 | #4015 | C23 | 1 | 24 | yes | complemented |
| 100 | C4×Dic10 | C23 | 1 | 48 | yes | complemented |
| 101 | #3458 | — | 5 | 12 | no | — |
| 102 | #3458 | — | 5 | 4 | no | — |
| 103 | #3458 | — | 5 | 12 | no | — |
| 104 | #3458 | — | 5 | 3 | no | — |
| 105 | #3458 | D5 | 1 | 1 | yes | characteristic, direct product factor |
| 106 | C2×#544 | — | 5 | 12 | no | — |
| 107 | C2×#543 | — | 5 | 4 | no | — |
| 108 | C2×#533 | — | 5 | 12 | no | — |
| 109 | C22×#117 | — | 5 | 3 | no | — |
| 110 | C24×C5 | C24 | 1 | 1 | yes | characteristic |
| 111 | C23×D5 | — | 4 | 4 | no | — |
| 112 | C23×D5 | C2×Q8 | 1 | 8 | yes | — |
| 113 | C23×D5 | C24 | 1 | 3 | yes | — |
| 114 | C23×D5 | C24 | 1 | 3 | yes | — |
| 115 | C2×C5×Q8 | C24 | 1 | 16 | yes | — |
| 116 | C22×C4×C5 | C2×Q8 | 1 | 8 | yes | complemented |
| 117 | C22×C4×C5 | C24 | 1 | 12 | yes | — |
| 118 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 119 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 120 | C22×Dic5 | C2×Q8 | 1 | 8 | yes | complemented |
| 121 | C22×Dic5 | C24 | 1 | 12 | yes | — |
| 122 | C22×Dic5 | C24 | 1 | 3 | yes | — |
| 123 | C22×Dic5 | C24 | 1 | 3 | yes | — |
| 124 | Q8×D5 | — | 4 | 32 | no | — |
| 125 | C2×C4×D5 | — | 4 | 24 | no | — |
| 126 | C2×C4×D5 | C2×Q8 | 1 | 24 | yes | — |
| 127 | C2×C4×D5 | C2×Q8 | 1 | 24 | yes | — |
| 128 | C2×C4×D5 | C2×Q8 | 1 | 24 | yes | complemented |
| 129 | C2×C4×D5 | C2×Q8 | 1 | 24 | yes | complemented |
| 130 | C2×C4×D5 | C24 | 1 | 24 | yes | — |
| 131 | C2×C4×D5 | C24 | 1 | 24 | yes | — |
| 132 | C2×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 133 | C2×C4×D5 | C24 | 1 | 3 | yes | — |
| 134 | C2×C4×D5 | C24 | 1 | 3 | yes | — |
| 135 | C2×C4×D5 | C24 | 1 | 3 | yes | — |
| 136 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 137 | C2×Dic10 | C24 | 1 | 48 | yes | — |
| 138 | C5×C4⋊C4 | C24 | 1 | 24 | yes | — |
| 139 | C5×C4⋊C4 | C24 | 1 | 48 | yes | — |
| 140 | C5×C22⋊C4 | C24 | 1 | 24 | yes | — |
| 141 | C42×C5 | C24 | 1 | 12 | yes | — |
| 142 | C42×C5 | C24 | 1 | 12 | yes | — |
| 143 | C22⋊Dic5 | C24 | 1 | 24 | yes | — |
| 144 | #685 | C24 | 1 | 48 | yes | — |
| 145 | C4⋊Dic5 | C24 | 1 | 48 | yes | — |
| 146 | C4⋊Dic5 | C24 | 1 | 24 | yes | — |
| 147 | #683 | C24 | 1 | 96 | yes | — |
| 148 | #683 | C24 | 1 | 48 | yes | — |
| 149 | C4×Dic5 | C24 | 1 | 12 | yes | — |
| 150 | C4×Dic5 | C24 | 1 | 12 | yes | — |
| 151 | C4×Dic5 | C24 | 1 | 24 | yes | — |
| 152 | C4×Dic5 | C24 | 1 | 24 | yes | — |
| 153 | C24×C4 | — | 5 | 1 | no | — |
| 154 | #544 | — | 5 | 48 | no | — |
| 155 | #544 | — | 5 | 48 | no | — |
| 156 | #544 | — | 5 | 48 | no | — |
| 157 | #544 | — | 5 | 24 | no | — |
| 158 | #544 | — | 5 | 12 | no | — |
| 159 | #544 | C2×D5 | 1 | 12 | yes | complemented |
| 160 | #543 | — | 5 | 48 | no | — |
| 161 | #543 | — | 5 | 12 | no | — |
| 162 | #543 | C2×D5 | 1 | 4 | yes | — |
| 163 | #533 | — | 5 | 24 | no | — |
| 164 | #533 | — | 5 | 24 | no | — |
| 165 | #533 | — | 5 | 48 | no | — |
| 166 | #533 | — | 5 | 48 | no | — |
| 167 | #533 | — | 5 | 24 | no | — |
| 168 | #533 | — | 5 | 12 | no | — |
| 169 | #533 | C2×D5 | 1 | 12 | yes | complemented |
| 170 | C2×C4⋊Q8 | — | 5 | 24 | no | — |
| 171 | C2×#125 | — | 5 | 24 | no | — |
| 172 | C2×C22⋊Q8 | — | 5 | 48 | no | — |
| 173 | C2×C4×Q8 | — | 5 | 16 | no | — |
| 174 | C2×#117 | — | 5 | 3 | no | — |
| 175 | C2×#117 | — | 5 | 12 | no | — |
| 176 | C2×#117 | — | 5 | 12 | no | — |
| 177 | C2×#117 | — | 5 | 12 | no | — |
| 178 | C2×#117 | — | 5 | 12 | no | — |
| 179 | C2×#117 | — | 5 | 6 | no | — |
| 180 | C2×#117 | — | 5 | 6 | no | — |
| 181 | C2×#117 | — | 5 | 6 | no | — |
| 182 | C2×#117 | C2×D5 | 1 | 3 | yes | — |
| 183 | C22×C4⋊C4 | — | 5 | 6 | no | — |
| 184 | C22×C22⋊C4 | — | 5 | 6 | no | — |
| 185 | C22×C42 | — | 5 | 6 | no | — |
| 186 | C23×C5 | — | 4 | 2 | no | — |
| 187 | C23×C5 | C22×Q8 | 1 | 4 | yes | — |
| 188 | C23×C5 | C25 | 1 | 3 | yes | — |
| 189 | C22×D5 | — | 2 | 12 | no | — |
| 190 | C22×D5 | — | 4 | 16 | no | — |
| 191 | C22×D5 | — | 4 | 6 | no | — |
| 192 | C22×D5 | C22×Q8 | 1 | 12 | yes | — |
| 193 | C22×D5 | C22×Q8 | 1 | 12 | yes | — |
| 194 | C22×D5 | C25 | 1 | 3 | yes | — |
| 195 | C22×D5 | C25 | 1 | 1 | yes | characteristic |
| 196 | C5×Q8 | — | 4 | 16 | no | — |
| 197 | C2×C4×C5 | — | 4 | 12 | no | — |
| 198 | C2×C4×C5 | C22×Q8 | 1 | 12 | yes | — |
| 199 | C2×C4×C5 | C22×Q8 | 1 | 12 | yes | — |
| 200 | C2×C4×C5 | C25 | 1 | 24 | yes | — |
| 201 | C2×C4×C5 | C25 | 1 | 3 | yes | — |
| 202 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 203 | C2×Dic5 | — | 4 | 12 | no | — |
| 204 | C2×Dic5 | C22×Q8 | 1 | 12 | yes | — |
| 205 | C2×Dic5 | C22×Q8 | 1 | 12 | yes | — |
| 206 | C2×Dic5 | C25 | 1 | 24 | yes | — |
| 207 | C2×Dic5 | C25 | 1 | 1 | yes | characteristic |
| 208 | C2×Dic5 | C25 | 1 | 3 | yes | — |
| 209 | C4×D5 | — | 2 | 48 | no | — |
| 210 | C4×D5 | — | 4 | 24 | no | — |
| 211 | C4×D5 | C22×Q8 | 1 | 4 | yes | — |
| 212 | C4×D5 | C22×Q8 | 1 | 12 | yes | — |
| 213 | C4×D5 | C22×Q8 | 1 | 12 | yes | — |
| 214 | C4×D5 | C22×Q8 | 1 | 12 | yes | — |
| 215 | C4×D5 | C22×Q8 | 1 | 24 | yes | — |
| 216 | Dic10 | — | 4 | 48 | no | — |
| 217 | C25 | — | 5 | 1 | no | — |
| 218 | C22×Q8 | — | 5 | 16 | no | — |
| 219 | C23×C4 | — | 5 | 1 | no | — |
| 220 | C23×C4 | — | 5 | 16 | no | — |
| 221 | C23×C4 | — | 5 | 3 | no | — |
| 222 | C23×C4 | — | 5 | 3 | no | — |
| 223 | C23×C4 | — | 5 | 3 | no | — |
| 224 | C23×C4 | — | 5 | 3 | no | — |
| 225 | C23×C4 | — | 5 | 12 | no | — |
| 226 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 227 | C4⋊Q8 | — | 5 | 48 | no | — |
| 228 | C4⋊Q8 | — | 5 | 48 | no | — |
| 229 | C4⋊Q8 | — | 5 | 48 | no | — |
| 230 | C4⋊Q8 | — | 5 | 24 | no | — |
| 231 | C4⋊Q8 | C22×D5 | 1 | 24 | yes | complemented |
| 232 | #125 | — | 5 | 96 | no | — |
| 233 | #125 | — | 5 | 48 | no | — |
| 234 | #125 | — | 5 | 24 | no | — |
| 235 | #125 | C22×D5 | 1 | 24 | yes | complemented |
| 236 | C22⋊Q8 | — | 5 | 48 | no | — |
| 237 | C22⋊Q8 | — | 5 | 48 | no | — |
| 238 | C22⋊Q8 | — | 5 | 96 | no | — |
| 239 | C22⋊Q8 | — | 5 | 48 | no | — |
| 240 | C22⋊Q8 | — | 5 | 96 | no | — |
| 241 | C22⋊Q8 | C22×D5 | 1 | 48 | yes | — |
| 242 | C4×Q8 | — | 5 | 16 | no | — |
| 243 | C4×Q8 | — | 5 | 48 | no | — |
| 244 | C4×Q8 | — | 5 | 48 | no | — |
| 245 | C4×Q8 | C22×D5 | 1 | 16 | yes | complemented |
| 246 | #117 | — | 5 | 12 | no | — |
| 247 | #117 | — | 5 | 12 | no | — |
| 248 | #117 | — | 5 | 24 | no | — |
| 249 | #117 | — | 5 | 24 | no | — |
| 250 | #117 | — | 5 | 24 | no | — |
| 251 | #117 | — | 5 | 24 | no | — |
| 252 | #117 | — | 5 | 24 | no | — |
| 253 | #117 | — | 5 | 24 | no | — |
| 254 | #117 | C22×D5 | 1 | 12 | yes | — |
| 255 | #117 | C22×D5 | 1 | 12 | yes | — |
| 256 | C2×C4⋊C4 | — | 5 | 12 | no | — |
| 257 | C2×C4⋊C4 | — | 5 | 6 | no | — |
| 258 | C2×C4⋊C4 | — | 5 | 24 | no | — |
| 259 | C2×C4⋊C4 | — | 5 | 24 | no | — |
| 260 | C2×C4⋊C4 | — | 5 | 48 | no | — |
| 261 | C2×C4⋊C4 | C22×D5 | 1 | 6 | yes | — |
| 262 | C2×C22⋊C4 | — | 5 | 6 | no | — |
| 263 | C2×C22⋊C4 | — | 5 | 12 | no | — |
| 264 | C2×C22⋊C4 | — | 5 | 24 | no | — |
| 265 | C2×C22⋊C4 | — | 5 | 24 | no | — |
| 266 | C2×C22⋊C4 | C22×D5 | 1 | 6 | yes | — |
| 267 | C2×C42 | — | 5 | 12 | no | — |
| 268 | C2×C42 | — | 5 | 6 | no | — |
| 269 | C2×C42 | — | 5 | 12 | no | — |
| 270 | C2×C42 | — | 5 | 12 | no | — |
| 271 | C2×C42 | — | 5 | 12 | no | — |
| 272 | C2×C42 | — | 5 | 12 | no | — |
| 273 | C2×C42 | C22×D5 | 1 | 6 | yes | — |
| 274 | C22×C5 | — | 2 | 6 | no | — |
| 275 | C22×C5 | — | 4 | 4 | no | — |
| 276 | C22×C5 | C23×Q8 | 1 | 6 | yes | — |
| 277 | C22×C5 | C26 | 1 | 1 | yes | characteristic |
| 278 | C2×D5 | — | 2 | 6 | no | — |
| 279 | C2×D5 | — | 2 | 24 | no | — |
| 280 | C2×D5 | — | 4 | 12 | no | — |
| 281 | C2×D5 | C23×Q8 | 1 | 6 | yes | — |
| 282 | C2×D5 | C23×Q8 | 1 | 2 | yes | — |
| 283 | C2×D5 | #585 | 1 | 4 | yes | — |
| 284 | C4×C5 | — | 2 | 24 | no | — |
| 285 | C4×C5 | C23×Q8 | 1 | 6 | yes | — |
| 286 | C4×C5 | C23×Q8 | 1 | 2 | yes | — |
| 287 | Dic5 | — | 2 | 24 | no | — |
| 288 | Dic5 | C23×Q8 | 1 | 2 | yes | — |
| 289 | Dic5 | C23×Q8 | 1 | 6 | yes | — |
| 290 | C24 | — | 5 | 3 | no | — |
| 291 | C24 | — | 5 | 8 | no | — |
| 292 | C24 | — | 5 | 3 | no | — |
| 293 | C24 | — | 20 | 4 | no | — |
| 294 | C24 | C23×D5 | 1 | 1 | yes | characteristic |
| 295 | C2×Q8 | — | 5 | 48 | no | — |
| 296 | C2×Q8 | — | 20 | 32 | no | — |
| 297 | C2×Q8 | C23×D5 | 1 | 16 | yes | — |
| 298 | C22×C4 | — | 5 | 8 | no | — |
| 299 | C22×C4 | — | 5 | 3 | no | — |
| 300 | C22×C4 | — | 5 | 3 | no | — |
| 301 | C22×C4 | — | 5 | 24 | no | — |
| 302 | C22×C4 | — | 5 | 24 | no | — |
| 303 | C22×C4 | — | 5 | 24 | no | — |
| 304 | C22×C4 | — | 5 | 24 | no | — |
| 305 | C22×C4 | — | 5 | 3 | no | — |
| 306 | C22×C4 | — | 5 | 3 | no | — |
| 307 | C22×C4 | — | 5 | 6 | no | — |
| 308 | C22×C4 | — | 5 | 1 | no | — |
| 309 | C22×C4 | — | 5 | 3 | no | — |
| 310 | C22×C4 | — | 5 | 12 | no | — |
| 311 | C22×C4 | — | 5 | 24 | no | — |
| 312 | C22×C4 | — | 5 | 24 | no | — |
| 313 | C22×C4 | — | 20 | 24 | no | — |
| 314 | C22×C4 | Q8×D5 | 1 | 8 | yes | complemented |
| 315 | C22×C4 | C23×D5 | 1 | 12 | yes | — |
| 316 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 317 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 318 | C4⋊C4 | — | 5 | 48 | no | — |
| 319 | C4⋊C4 | — | 5 | 24 | no | — |
| 320 | C4⋊C4 | — | 5 | 96 | no | — |
| 321 | C4⋊C4 | — | 5 | 48 | no | — |
| 322 | C4⋊C4 | C23×D5 | 1 | 24 | yes | — |
| 323 | C4⋊C4 | C23×D5 | 1 | 48 | yes | — |
| 324 | C22⋊C4 | — | 5 | 24 | no | — |
| 325 | C22⋊C4 | — | 5 | 48 | no | — |
| 326 | C22⋊C4 | C23×D5 | 1 | 24 | yes | — |
| 327 | C42 | — | 5 | 24 | no | — |
| 328 | C42 | — | 5 | 24 | no | — |
| 329 | C42 | — | 5 | 12 | no | — |
| 330 | C42 | — | 5 | 12 | no | — |
| 331 | C42 | C23×D5 | 1 | 12 | yes | — |
| 332 | C42 | C23×D5 | 1 | 12 | yes | — |
| 333 | C2×C5 | — | 2 | 6 | no | — |
| 334 | C2×C5 | C24×Q8 | 1 | 1 | yes | characteristic |
| 335 | C2×C5 | C2×#585 | 1 | 2 | yes | — |
| 336 | D5 | — | 2 | 6 | no | — |
| 337 | D5 | #3458 | 1 | 4 | yes | direct product factor |
| 338 | C23 | — | 4 | 2 | no | — |
| 339 | C23 | — | 5 | 1 | no | — |
| 340 | C23 | — | 5 | 12 | no | — |
| 341 | C23 | — | 5 | 3 | no | — |
| 342 | C23 | — | 5 | 12 | no | — |
| 343 | C23 | — | 10 | 12 | no | — |
| 344 | C23 | — | 20 | 6 | no | — |
| 345 | C23 | — | 20 | 16 | no | — |
| 346 | C23 | C2×Q8×D5 | 1 | 4 | yes | — |
| 347 | C23 | C24×D5 | 1 | 3 | yes | — |
| 348 | Q8 | — | 4 | 16 | no | — |
| 349 | Q8 | — | 20 | 48 | no | — |
| 350 | C2×C4 | — | 4 | 12 | no | — |
| 351 | C2×C4 | — | 5 | 12 | no | — |
| 352 | C2×C4 | — | 5 | 12 | no | — |
| 353 | C2×C4 | — | 5 | 1 | no | — |
| 354 | C2×C4 | — | 5 | 3 | no | — |
| 355 | C2×C4 | — | 5 | 12 | no | — |
| 356 | C2×C4 | — | 5 | 12 | no | — |
| 357 | C2×C4 | — | 5 | 24 | no | — |
| 358 | C2×C4 | — | 5 | 4 | no | — |
| 359 | C2×C4 | — | 5 | 12 | no | — |
| 360 | C2×C4 | — | 5 | 24 | no | — |
| 361 | C2×C4 | — | 10 | 48 | no | — |
| 362 | C2×C4 | — | 20 | 24 | no | — |
| 363 | C2×C4 | — | 20 | 12 | no | — |
| 364 | C2×C4 | C2×Q8×D5 | 1 | 12 | yes | — |
| 365 | C2×C4 | C2×Q8×D5 | 1 | 12 | yes | — |
| 366 | C2×C4 | C24×D5 | 1 | 24 | yes | — |
| 367 | C2×C4 | C24×D5 | 1 | 3 | yes | — |
| 368 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 369 | C5 | C2×#3458 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 370 | C22 | — | 2 | 6 | no | — |
| 371 | C22 | — | 4 | 4 | no | — |
| 372 | C22 | — | 5 | 2 | no | — |
| 373 | C22 | — | 5 | 4 | no | — |
| 374 | C22 | — | 5 | 6 | no | — |
| 375 | C22 | — | 10 | 24 | no | — |
| 376 | C22 | — | 10 | 6 | no | — |
| 377 | C22 | — | 20 | 12 | no | — |
| 378 | C22 | C22×Q8×D5 | 1 | 6 | yes | — |
| 379 | C22 | C25×D5 | 1 | 1 | yes | characteristic |
| 380 | C4 | — | 2 | 24 | no | — |
| 381 | C4 | — | 5 | 2 | no | — |
| 382 | C4 | — | 5 | 6 | no | — |
| 383 | C4 | — | 10 | 24 | no | — |
| 384 | C4 | C22×Q8×D5 | 1 | 6 | yes | — |
| 385 | C4 | C22×Q8×D5 | 1 | 2 | yes | — |
| 386 | C2 | — | 2 | 6 | no | — |
| 387 | C2 | — | 5 | 4 | no | — |
| 388 | C2 | — | 10 | 6 | no | — |
| 389 | C2 | C23×Q8×D5 | 1 | 1 | yes | characteristic |
| 390 | C2 | D5×#585 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta