← #12968994
Subgroups — #12968994
Order 1280.
1834 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10617790 | C2 | 1 | 2 | yes | maximal |
| 2 | C5×#2913 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10615516 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | Dic5×#131 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #10614293 | C2 | 1 | 2 | yes | maximal |
| 6 | #10610937 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #10610934 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #10610904 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #10610901 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #10610870 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C2×#65163 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | C2×C5×#131 | C22 | 1 | 1 | yes | characteristic |
| 13 | C5×#520 | C22 | 1 | 2 | yes | — |
| 14 | #66161 | C22 | 1 | 2 | yes | — |
| 15 | #41×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#4094 | C22 | 1 | 1 | yes | characteristic |
| 17 | #65903 | — | 2 | 2 | no | — |
| 18 | Q8×Dic10 | — | 2 | 2 | no | — |
| 19 | #65873 | — | 2 | 6 | no | — |
| 20 | D4×Dic10 | — | 2 | 6 | no | — |
| 21 | #65853 | C22 | 1 | 6 | yes | — |
| 22 | #65851 | C22 | 1 | 6 | yes | — |
| 23 | #65834 | C22 | 1 | 6 | yes | — |
| 24 | C2×#4034 | C22 | 1 | 6 | yes | — |
| 25 | C5×#428 | C22 | 1 | 6 | yes | — |
| 26 | C5×#427 | C22 | 1 | 3 | yes | — |
| 27 | C2×C5×#107 | C22 | 1 | 3 | yes | — |
| 28 | #65411 | C22 | 1 | 3 | yes | — |
| 29 | #65410 | C22 | 1 | 6 | yes | — |
| 30 | M16×Dic5 | C22 | 1 | 3 | yes | — |
| 31 | #65395 | C22 | 1 | 3 | yes | — |
| 32 | C2×#3950 | C22 | 1 | 3 | yes | — |
| 33 | #65390 | C22 | 1 | 3 | yes | — |
| 34 | C2×C8×Dic5 | C22 | 1 | 3 | yes | — |
| 35 | #65287 | C22 | 1 | 6 | yes | — |
| 36 | #65284 | C22 | 1 | 6 | yes | — |
| 37 | #65253 | C22 | 1 | 6 | yes | — |
| 38 | C2×#3939 | C22 | 1 | 6 | yes | — |
| 39 | #65167 | C22 | 1 | 3 | yes | — |
| 40 | #65167 | C22 | 1 | 3 | yes | — |
| 41 | #65165 | C22 | 1 | 12 | yes | — |
| 42 | #65163 | C22 | 1 | 3 | yes | — |
| 43 | #65163 | C22 | 1 | 6 | yes | — |
| 44 | #65163 | C22 | 1 | 6 | yes | — |
| 45 | #65163 | C22 | 1 | 6 | yes | — |
| 46 | #65163 | C22 | 1 | 1 | yes | characteristic |
| 47 | #65147 | C22 | 1 | 6 | yes | — |
| 48 | #65145 | C22 | 1 | 12 | yes | — |
| 49 | #65144 | C22 | 1 | 6 | yes | — |
| 50 | #60667 | — | 5 | 1 | no | maximal, Sylow |
| 51 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 52 | C22×Dic10 | — | 2 | 6 | no | — |
| 53 | C5×#131 | Q8 | 1 | 8 | yes | complemented |
| 54 | C2×C5×M16 | C23 | 1 | 3 | yes | — |
| 55 | C22×C5×C8 | C23 | 1 | 3 | yes | — |
| 56 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 57 | C4×C5×D4 | — | 2 | 6 | no | — |
| 58 | C5×#117 | C23 | 1 | 6 | yes | — |
| 59 | C2×C5×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 60 | #4094 | Q8 | 1 | 8 | yes | complemented |
| 61 | Q8×Dic5 | — | 2 | 2 | no | — |
| 62 | Q8×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 63 | Q8×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 64 | D4×Dic5 | — | 2 | 6 | no | — |
| 65 | D4×Dic5 | D4 | 1 | 3 | yes | — |
| 66 | D4×Dic5 | D4 | 1 | 3 | yes | — |
| 67 | #4072 | C23 | 1 | 6 | yes | — |
| 68 | #4072 | C23 | 1 | 3 | yes | — |
| 69 | C2×C4⋊Dic5 | C23 | 1 | 6 | yes | — |
| 70 | #4070 | — | 2 | 12 | no | — |
| 71 | C2×#683 | — | 2 | 6 | no | — |
| 72 | C2×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 73 | C2×#681 | C23 | 1 | 3 | yes | — |
| 74 | C22×#168 | C23 | 1 | 3 | yes | — |
| 75 | #4036 | — | 2 | 6 | no | — |
| 76 | #4036 | C23 | 1 | 6 | yes | — |
| 77 | #4036 | C23 | 1 | 6 | yes | — |
| 78 | #4034 | — | 2 | 6 | no | — |
| 79 | #4034 | — | 2 | 6 | no | — |
| 80 | #4034 | — | 2 | 6 | no | — |
| 81 | #4034 | C23 | 1 | 6 | yes | — |
| 82 | #4034 | C23 | 1 | 12 | yes | — |
| 83 | #4034 | C23 | 1 | 2 | yes | — |
| 84 | #4024 | — | 2 | 6 | no | — |
| 85 | #4024 | — | 2 | 6 | no | — |
| 86 | #4024 | — | 2 | 12 | no | — |
| 87 | #4016 | — | 2 | 6 | no | — |
| 88 | #4015 | — | 2 | 6 | no | — |
| 89 | C4×Dic10 | — | 2 | 6 | no | — |
| 90 | C4×Dic10 | — | 2 | 6 | no | — |
| 91 | C5×#107 | C23 | 1 | 3 | yes | — |
| 92 | C5×#107 | C23 | 1 | 6 | yes | — |
| 93 | C5×#107 | C23 | 1 | 1 | yes | characteristic |
| 94 | C5×#106 | C23 | 1 | 6 | yes | — |
| 95 | #3950 | C23 | 1 | 3 | yes | — |
| 96 | #3950 | C23 | 1 | 6 | yes | — |
| 97 | #3950 | C23 | 1 | 1 | yes | characteristic |
| 98 | #3949 | C23 | 1 | 6 | yes | — |
| 99 | #3947 | C23 | 1 | 6 | yes | — |
| 100 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 101 | C8×Dic5 | C23 | 1 | 3 | yes | — |
| 102 | C8×Dic5 | C23 | 1 | 3 | yes | — |
| 103 | C8×Dic5 | C23 | 1 | 3 | yes | — |
| 104 | #3940 | C23 | 1 | 6 | yes | — |
| 105 | #3940 | C23 | 1 | 6 | yes | — |
| 106 | #3939 | C23 | 1 | 12 | yes | — |
| 107 | #3939 | C23 | 1 | 2 | yes | — |
| 108 | #3939 | C23 | 1 | 6 | yes | — |
| 109 | #3503 | — | 5 | 2 | no | — |
| 110 | #3165 | — | 5 | 6 | no | — |
| 111 | #3164 | — | 5 | 6 | no | — |
| 112 | #3164 | — | 5 | 3 | no | — |
| 113 | #3164 | — | 5 | 3 | no | — |
| 114 | #3160 | — | 5 | 3 | no | — |
| 115 | C2×#500 | — | 5 | 3 | no | — |
| 116 | #2913 | — | 5 | 1 | no | — |
| 117 | #2913 | — | 5 | 2 | no | — |
| 118 | #2913 | D5 | 1 | 1 | yes | characteristic |
| 119 | C4×#131 | — | 5 | 1 | no | — |
| 120 | C5×#41 | C2×Q8 | 1 | 4 | yes | — |
| 121 | C5×#41 | C2×Q8 | 1 | 4 | yes | — |
| 122 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C5×D4 | C2×D4 | 1 | 3 | yes | — |
| 124 | C22×C4×C5 | — | 2 | 6 | no | — |
| 125 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 126 | C22×Dic5 | — | 2 | 6 | no | — |
| 127 | C22×Dic5 | C2×D4 | 1 | 3 | yes | — |
| 128 | C22×Dic5 | C2×D4 | 1 | 3 | yes | — |
| 129 | C2×Dic10 | — | 2 | 6 | no | — |
| 130 | C2×Dic10 | — | 2 | 2 | no | — |
| 131 | C2×Dic10 | — | 2 | 12 | no | — |
| 132 | C2×Dic10 | — | 8 | 12 | no | — |
| 133 | C5×M16 | C2×Q8 | 1 | 12 | yes | complemented |
| 134 | C2×C5×C8 | C2×Q8 | 1 | 12 | yes | complemented |
| 135 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 136 | C2×C5×C8 | C24 | 1 | 3 | yes | — |
| 137 | C5×C4⋊C4 | — | 2 | 6 | no | — |
| 138 | C5×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 139 | C5×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 140 | C5×C22⋊C4 | — | 2 | 6 | no | — |
| 141 | C42×C5 | — | 2 | 6 | no | — |
| 142 | C22⋊Dic5 | — | 2 | 6 | no | — |
| 143 | C22⋊Dic5 | C2×D4 | 1 | 6 | yes | — |
| 144 | C4⋊Dic5 | — | 2 | 6 | no | — |
| 145 | C4⋊Dic5 | — | 2 | 6 | no | — |
| 146 | C4⋊Dic5 | — | 2 | 6 | no | — |
| 147 | C4⋊Dic5 | C2×D4 | 1 | 3 | yes | — |
| 148 | C4⋊Dic5 | C2×D4 | 1 | 3 | yes | — |
| 149 | C4⋊Dic5 | C24 | 1 | 6 | yes | — |
| 150 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 151 | #683 | — | 2 | 2 | no | — |
| 152 | #683 | — | 2 | 6 | no | — |
| 153 | #683 | — | 2 | 6 | no | — |
| 154 | #683 | — | 2 | 6 | no | — |
| 155 | #683 | — | 2 | 12 | no | — |
| 156 | C4×Dic5 | — | 2 | 6 | no | — |
| 157 | C4×Dic5 | C2×D4 | 1 | 3 | yes | — |
| 158 | C4×Dic5 | C2×D4 | 1 | 3 | yes | — |
| 159 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 160 | C4×Dic5 | C24 | 1 | 3 | yes | — |
| 161 | #681 | C2×Q8 | 1 | 12 | yes | complemented |
| 162 | C2×#168 | C2×Q8 | 1 | 12 | yes | complemented |
| 163 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 164 | C2×#168 | C24 | 1 | 3 | yes | — |
| 165 | C2×#131 | — | 5 | 1 | no | — |
| 166 | C2×#131 | C2×D5 | 1 | 1 | yes | characteristic |
| 167 | Q82 | — | 10 | 2 | no | — |
| 168 | #557 | — | 10 | 2 | no | — |
| 169 | #554 | — | 10 | 6 | no | — |
| 170 | D4×Q8 | — | 10 | 6 | no | — |
| 171 | #544 | — | 5 | 6 | no | — |
| 172 | #544 | — | 5 | 6 | no | — |
| 173 | #533 | — | 5 | 6 | no | — |
| 174 | C2×C4⋊Q8 | — | 5 | 6 | no | — |
| 175 | #520 | — | 5 | 2 | no | — |
| 176 | #520 | C2×D5 | 1 | 2 | yes | — |
| 177 | C4×#41 | — | 5 | 1 | no | — |
| 178 | #501 | — | 5 | 12 | no | — |
| 179 | #501 | — | 5 | 12 | no | — |
| 180 | #500 | — | 5 | 3 | no | — |
| 181 | #500 | — | 5 | 6 | no | — |
| 182 | #500 | — | 5 | 6 | no | — |
| 183 | #500 | — | 5 | 6 | no | — |
| 184 | #500 | — | 5 | 1 | no | — |
| 185 | #499 | — | 5 | 3 | no | — |
| 186 | #499 | — | 5 | 3 | no | — |
| 187 | #499 | — | 5 | 6 | no | — |
| 188 | #498 | — | 5 | 6 | no | — |
| 189 | #428 | — | 5 | 6 | no | — |
| 190 | #428 | — | 5 | 6 | no | — |
| 191 | #428 | — | 5 | 6 | no | — |
| 192 | #428 | C2×D5 | 1 | 6 | yes | — |
| 193 | #427 | — | 5 | 3 | no | — |
| 194 | #427 | — | 5 | 6 | no | — |
| 195 | #427 | C2×D5 | 1 | 3 | yes | — |
| 196 | C2×#107 | — | 5 | 3 | no | — |
| 197 | C2×#107 | — | 5 | 6 | no | — |
| 198 | C2×#107 | C2×D5 | 1 | 3 | yes | — |
| 199 | #405 | — | 5 | 3 | no | — |
| 200 | #405 | — | 5 | 3 | no | — |
| 201 | C4×M16 | — | 5 | 3 | no | — |
| 202 | C2×C4×C8 | — | 5 | 3 | no | — |
| 203 | C23×C5 | C22×D4 | 1 | 3 | yes | — |
| 204 | C5×Q8 | C4⋊Q8 | 1 | 4 | yes | — |
| 205 | C5×D4 | C4⋊Q8 | 1 | 12 | yes | — |
| 206 | C2×C4×C5 | — | 2 | 2 | no | — |
| 207 | C2×C4×C5 | — | 2 | 6 | no | — |
| 208 | C2×C4×C5 | — | 8 | 6 | no | — |
| 209 | C2×C4×C5 | C22×D4 | 1 | 3 | yes | — |
| 210 | C2×C4×C5 | C22×Q8 | 1 | 6 | yes | — |
| 211 | C2×C4×C5 | C22×Q8 | 1 | 6 | yes | — |
| 212 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 213 | C2×Dic5 | — | 2 | 6 | no | — |
| 214 | C2×Dic5 | — | 2 | 6 | no | — |
| 215 | C2×Dic5 | — | 2 | 2 | no | — |
| 216 | C2×Dic5 | — | 2 | 6 | no | — |
| 217 | C2×Dic5 | — | 8 | 6 | no | — |
| 218 | C2×Dic5 | C22×D4 | 1 | 3 | yes | — |
| 219 | C2×Dic5 | C22×D4 | 1 | 3 | yes | — |
| 220 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 222 | Dic10 | — | 4 | 12 | no | — |
| 223 | Dic10 | — | 4 | 4 | no | — |
| 224 | Dic10 | — | 8 | 12 | no | — |
| 225 | C5×C8 | C22×Q8 | 1 | 2 | yes | — |
| 226 | C5×C8 | C22×Q8 | 1 | 6 | yes | — |
| 227 | #168 | C22×Q8 | 1 | 2 | yes | — |
| 228 | #168 | C22×Q8 | 1 | 6 | yes | — |
| 229 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 230 | C22×Q8 | — | 10 | 6 | no | — |
| 231 | #131 | — | 5 | 8 | no | — |
| 232 | #131 | Dic10 | 1 | 8 | yes | complemented |
| 233 | C2×M16 | — | 5 | 3 | no | — |
| 234 | C2×M16 | C22×D5 | 1 | 3 | yes | — |
| 235 | C22×C8 | — | 5 | 3 | no | — |
| 236 | C22×C8 | C22×D5 | 1 | 3 | yes | — |
| 237 | C4⋊Q8 | — | 5 | 6 | no | — |
| 238 | C4⋊Q8 | — | 5 | 12 | no | — |
| 239 | C4⋊Q8 | — | 5 | 2 | no | — |
| 240 | C4⋊Q8 | — | 10 | 6 | no | — |
| 241 | C4⋊Q8 | — | 10 | 6 | no | — |
| 242 | C4⋊Q8 | — | 10 | 6 | no | — |
| 243 | C4⋊Q8 | — | 10 | 6 | no | — |
| 244 | #125 | — | 5 | 6 | no | — |
| 245 | #125 | — | 5 | 6 | no | — |
| 246 | #125 | — | 10 | 6 | no | — |
| 247 | #125 | — | 10 | 6 | no | — |
| 248 | C22⋊Q8 | — | 10 | 12 | no | — |
| 249 | C22⋊Q8 | — | 10 | 6 | no | — |
| 250 | C22⋊Q8 | — | 10 | 6 | no | — |
| 251 | C22⋊Q8 | — | 10 | 12 | no | — |
| 252 | C4×Q8 | — | 2 | 2 | no | — |
| 253 | C4×Q8 | — | 5 | 1 | no | — |
| 254 | C4×Q8 | — | 5 | 1 | no | — |
| 255 | C4×Q8 | — | 10 | 6 | no | — |
| 256 | C4×Q8 | — | 10 | 6 | no | — |
| 257 | C4×Q8 | — | 10 | 2 | no | — |
| 258 | C4×D4 | — | 2 | 6 | no | — |
| 259 | C4×D4 | — | 5 | 3 | no | — |
| 260 | C4×D4 | — | 5 | 3 | no | — |
| 261 | C4×D4 | — | 10 | 6 | no | — |
| 262 | #117 | — | 5 | 3 | no | — |
| 263 | #117 | — | 5 | 6 | no | — |
| 264 | #117 | C22×D5 | 1 | 6 | yes | — |
| 265 | C2×C4⋊C4 | — | 5 | 6 | no | — |
| 266 | C2×C4⋊C4 | — | 10 | 6 | no | — |
| 267 | C2×C4⋊C4 | C22×D5 | 1 | 6 | yes | — |
| 268 | C2×C42 | — | 5 | 3 | no | — |
| 269 | #107 | — | 5 | 3 | no | — |
| 270 | #107 | — | 5 | 6 | no | — |
| 271 | #107 | — | 5 | 1 | no | — |
| 272 | #107 | — | 5 | 6 | no | — |
| 273 | #107 | — | 5 | 12 | no | — |
| 274 | #107 | — | 5 | 2 | no | — |
| 275 | #107 | C22×D5 | 1 | 3 | yes | — |
| 276 | #107 | C22×D5 | 1 | 6 | yes | — |
| 277 | #107 | C22×D5 | 1 | 1 | yes | characteristic |
| 278 | #106 | — | 5 | 6 | no | — |
| 279 | #106 | — | 5 | 6 | no | — |
| 280 | #106 | — | 5 | 6 | no | — |
| 281 | #106 | C22×D5 | 1 | 6 | yes | — |
| 282 | #97 | — | 5 | 6 | no | — |
| 283 | C4×C8 | — | 5 | 1 | no | — |
| 284 | C4×C8 | — | 5 | 3 | no | — |
| 285 | C4×C8 | — | 5 | 3 | no | — |
| 286 | C4×C8 | — | 5 | 3 | no | — |
| 287 | C22×C5 | — | 2 | 3 | no | — |
| 288 | C22×C5 | — | 2 | 3 | no | — |
| 289 | C22×C5 | C2×C4⋊Q8 | 1 | 6 | yes | — |
| 290 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 291 | C4×C5 | — | 4 | 6 | no | — |
| 292 | C4×C5 | — | 4 | 2 | no | — |
| 293 | C4×C5 | C2×C4⋊Q8 | 1 | 6 | yes | — |
| 294 | C4×C5 | C23×Q8 | 1 | 1 | yes | characteristic |
| 295 | C4×C5 | C23×Q8 | 1 | 1 | yes | characteristic |
| 296 | Dic5 | — | 2 | 3 | no | — |
| 297 | Dic5 | — | 2 | 3 | no | — |
| 298 | Dic5 | — | 4 | 6 | no | — |
| 299 | Dic5 | — | 4 | 2 | no | — |
| 300 | Dic5 | #576 | 1 | 2 | yes | — |
| 301 | Dic5 | #578 | 1 | 2 | yes | — |
| 302 | #41 | C2×Dic10 | 1 | 4 | yes | — |
| 303 | #41 | Q8×D5 | 1 | 4 | yes | — |
| 304 | C2×Q8 | — | 10 | 2 | no | — |
| 305 | C2×Q8 | — | 10 | 6 | no | — |
| 306 | C2×Q8 | — | 10 | 12 | no | — |
| 307 | C2×Q8 | — | 40 | 12 | no | — |
| 308 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 309 | C2×D4 | D4×D5 | 1 | 3 | yes | — |
| 310 | C22×C4 | — | 2 | 6 | no | — |
| 311 | C22×C4 | — | 5 | 3 | no | — |
| 312 | C22×C4 | — | 5 | 3 | no | — |
| 313 | C22×C4 | — | 10 | 6 | no | — |
| 314 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 315 | M16 | — | 5 | 12 | no | — |
| 316 | M16 | C2×Dic10 | 1 | 12 | yes | complemented |
| 317 | C2×C8 | — | 5 | 12 | no | — |
| 318 | C2×C8 | — | 5 | 1 | no | — |
| 319 | C2×C8 | — | 5 | 3 | no | — |
| 320 | C2×C8 | C2×Dic10 | 1 | 12 | yes | complemented |
| 321 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 322 | C2×C8 | C23×D5 | 1 | 3 | yes | — |
| 323 | C4⋊C4 | — | 2 | 6 | no | — |
| 324 | C4⋊C4 | — | 5 | 3 | no | — |
| 325 | C4⋊C4 | — | 5 | 3 | no | — |
| 326 | C4⋊C4 | — | 5 | 2 | no | — |
| 327 | C4⋊C4 | — | 5 | 6 | no | — |
| 328 | C4⋊C4 | — | 10 | 6 | no | — |
| 329 | C4⋊C4 | — | 10 | 12 | no | — |
| 330 | C4⋊C4 | — | 10 | 2 | no | — |
| 331 | C4⋊C4 | — | 10 | 6 | no | — |
| 332 | C4⋊C4 | — | 10 | 6 | no | — |
| 333 | C4⋊C4 | — | 10 | 6 | no | — |
| 334 | C4⋊C4 | — | 10 | 6 | no | — |
| 335 | C4⋊C4 | — | 10 | 6 | no | — |
| 336 | C4⋊C4 | C23×D5 | 1 | 2 | yes | — |
| 337 | C4⋊C4 | C23×D5 | 1 | 6 | yes | — |
| 338 | C22⋊C4 | — | 2 | 6 | no | — |
| 339 | C22⋊C4 | — | 5 | 6 | no | — |
| 340 | C22⋊C4 | — | 10 | 6 | no | — |
| 341 | C42 | — | 2 | 6 | no | — |
| 342 | C42 | — | 5 | 3 | no | — |
| 343 | C42 | — | 5 | 3 | no | — |
| 344 | C42 | — | 5 | 1 | no | — |
| 345 | C42 | — | 5 | 3 | no | — |
| 346 | C42 | — | 10 | 6 | no | — |
| 347 | C2×C5 | — | 2 | 6 | no | — |
| 348 | C2×C5 | C22×C4⋊Q8 | 1 | 1 | yes | characteristic |
| 349 | C2×C5 | C2×#576 | 1 | 1 | yes | characteristic |
| 350 | C2×C5 | C2×#578 | 1 | 1 | yes | characteristic |
| 351 | C23 | C2×D4×D5 | 1 | 3 | yes | — |
| 352 | Q8 | — | 20 | 12 | no | — |
| 353 | Q8 | — | 20 | 4 | no | — |
| 354 | Q8 | — | 40 | 12 | no | — |
| 355 | Q8 | #4034 | 1 | 4 | yes | — |
| 356 | D4 | #4034 | 1 | 12 | yes | — |
| 357 | C2×C4 | — | 2 | 2 | no | — |
| 358 | C2×C4 | — | 2 | 6 | no | — |
| 359 | C2×C4 | — | 5 | 1 | no | — |
| 360 | C2×C4 | — | 5 | 1 | no | — |
| 361 | C2×C4 | — | 5 | 3 | no | — |
| 362 | C2×C4 | — | 5 | 3 | no | — |
| 363 | C2×C4 | — | 8 | 6 | no | — |
| 364 | C2×C4 | — | 10 | 6 | no | — |
| 365 | C2×C4 | — | 10 | 6 | no | — |
| 366 | C2×C4 | — | 10 | 2 | no | — |
| 367 | C2×C4 | — | 10 | 6 | no | — |
| 368 | C2×C4 | — | 40 | 6 | no | — |
| 369 | C2×C4 | C22×Dic10 | 1 | 6 | yes | — |
| 370 | C2×C4 | C2×D4×D5 | 1 | 3 | yes | — |
| 371 | C2×C4 | C2×Q8×D5 | 1 | 6 | yes | — |
| 372 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 373 | C8 | — | 5 | 2 | no | — |
| 374 | C8 | — | 5 | 6 | no | — |
| 375 | C8 | C22×Dic10 | 1 | 2 | yes | — |
| 376 | C8 | C22×Dic10 | 1 | 6 | yes | — |
| 377 | C5 | #60667 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 378 | C22 | — | 2 | 3 | no | — |
| 379 | C22 | — | 2 | 3 | no | — |
| 380 | C22 | C2×#4034 | 1 | 6 | yes | — |
| 381 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 382 | C4 | — | 4 | 6 | no | — |
| 383 | C4 | — | 4 | 2 | no | — |
| 384 | C4 | — | 5 | 2 | no | — |
| 385 | C4 | — | 5 | 2 | no | — |
| 386 | C4 | — | 10 | 3 | no | — |
| 387 | C4 | — | 10 | 3 | no | — |
| 388 | C4 | — | 20 | 6 | no | — |
| 389 | C4 | — | 20 | 2 | no | — |
| 390 | C4 | C2×#4034 | 1 | 6 | yes | — |
| 391 | C4 | C23×Dic10 | 1 | 1 | yes | characteristic |
| 392 | C4 | C22×Q8×D5 | 1 | 1 | yes | characteristic |
| 393 | C2 | — | 2 | 6 | no | — |
| 394 | C2 | C22×#4034 | 1 | 1 | yes | characteristic |
| 395 | C2 | D5×#576 | 1 | 1 | yes | characteristic |
| 396 | C2 | D5×#578 | 1 | 1 | yes | characteristic |
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