← #12966739
Subgroups — #12966739
Order 1280.
2630 conjugacy classes of subgroups.
The subgroup lattice has 382 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×C5×#576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10619178 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10619061 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10615831 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10615694 | C2 | 1 | 12 | yes | maximal, complemented |
| 6 | #10615659 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | C2×#65449 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #10615520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×C5×H(5,𝔽2) | C22 | 1 | 2 | yes | — |
| 10 | #66283 | C22 | 1 | 1 | yes | characteristic |
| 11 | C5×#576 | — | 2 | 4 | no | — |
| 12 | C5×#576 | — | 2 | 4 | no | — |
| 13 | C2×C5×AGL(1,ℤ/8) | C22 | 1 | 6 | yes | complemented |
| 14 | C2×C5×#135 | C22 | 1 | 3 | yes | complemented |
| 15 | C22×C5×D8 | C22 | 1 | 3 | yes | complemented |
| 16 | C2×C5×#131 | C22 | 1 | 1 | yes | characteristic |
| 17 | #66170 | — | 2 | 8 | no | — |
| 18 | #66169 | — | 2 | 8 | no | — |
| 19 | #66156 | C22 | 1 | 12 | yes | complemented |
| 20 | #66153 | C22 | 1 | 1 | yes | characteristic |
| 21 | #66153 | C22 | 1 | 2 | yes | — |
| 22 | C2×#4078 | C22 | 1 | 12 | yes | complemented |
| 23 | #66084 | — | 2 | 4 | no | — |
| 24 | D5×#131 | — | 2 | 4 | no | — |
| 25 | #66079 | C22 | 1 | 6 | yes | complemented |
| 26 | C2×#4047 | C22 | 1 | 6 | yes | complemented |
| 27 | #65526 | C22 | 1 | 12 | yes | complemented |
| 28 | C2×#3965 | C22 | 1 | 12 | yes | complemented |
| 29 | #65481 | C22 | 1 | 4 | yes | complemented |
| 30 | #65466 | C22 | 1 | 24 | yes | complemented |
| 31 | #65449 | C22 | 1 | 12 | yes | complemented |
| 32 | #65449 | C22 | 1 | 24 | yes | complemented |
| 33 | #65414 | C22 | 1 | 6 | yes | complemented |
| 34 | C2×#3951 | C22 | 1 | 6 | yes | complemented |
| 35 | #60471 | — | 5 | 1 | no | maximal, Sylow |
| 36 | C5×H(5,𝔽2) | — | 2 | 8 | no | — |
| 37 | C5×H(5,𝔽2) | — | 2 | 8 | no | — |
| 38 | C2×C5×#41 | — | 2 | 2 | no | — |
| 39 | C2×C5×#41 | C23 | 1 | 6 | yes | — |
| 40 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 41 | C22×C5×D4 | — | 2 | 6 | no | — |
| 42 | C22×C5×D4 | C23 | 1 | 6 | yes | — |
| 43 | #4150 | D4 | 1 | 4 | yes | — |
| 44 | #4149 | D4 | 1 | 4 | yes | — |
| 45 | D5×#41 | — | 2 | 4 | no | — |
| 46 | #4147 | — | 2 | 1 | no | — |
| 47 | #4144 | — | 2 | 3 | no | — |
| 48 | C2×#709 | C23 | 1 | 6 | yes | — |
| 49 | C5×AGL(1,ℤ/8) | — | 2 | 24 | no | — |
| 50 | C5×#135 | — | 2 | 6 | no | — |
| 51 | C5×#135 | — | 2 | 6 | no | — |
| 52 | C2×C5×Q16 | C23 | 1 | 1 | yes | characteristic |
| 53 | C2×C5×SD16 | C23 | 1 | 6 | yes | — |
| 54 | C2×C5×D8 | — | 2 | 6 | no | — |
| 55 | C2×C5×D8 | — | 2 | 6 | no | — |
| 56 | C2×C5×D8 | C23 | 1 | 3 | yes | — |
| 57 | C2×C5×D8 | C23 | 1 | 6 | yes | — |
| 58 | C5×#131 | D4 | 1 | 4 | yes | — |
| 59 | C5×#131 | D4 | 1 | 4 | yes | — |
| 60 | C2×C5×M16 | C23 | 1 | 3 | yes | — |
| 61 | C22×C5×C8 | C23 | 1 | 3 | yes | — |
| 62 | #4097 | — | 2 | 12 | no | — |
| 63 | #4096 | — | 2 | 24 | no | — |
| 64 | #4095 | — | 2 | 12 | no | — |
| 65 | #4094 | — | 2 | 4 | no | — |
| 66 | #4094 | — | 2 | 8 | no | — |
| 67 | #4088 | C23 | 1 | 8 | yes | — |
| 68 | C2×#687 | — | 2 | 12 | no | — |
| 69 | #4078 | — | 2 | 24 | no | — |
| 70 | #4078 | C23 | 1 | 24 | yes | — |
| 71 | C2×#686 | — | 2 | 12 | no | — |
| 72 | C2×#681 | C23 | 1 | 6 | yes | — |
| 73 | C2×#681 | C23 | 1 | 12 | yes | — |
| 74 | #4053 | — | 2 | 12 | no | — |
| 75 | D5×M16 | — | 2 | 12 | no | — |
| 76 | #4047 | — | 2 | 6 | no | — |
| 77 | #4047 | — | 2 | 6 | no | — |
| 78 | #4047 | C23 | 1 | 4 | yes | — |
| 79 | #4047 | C23 | 1 | 12 | yes | — |
| 80 | C2×#676 | — | 2 | 6 | no | — |
| 81 | C2×C8×D5 | — | 2 | 6 | no | — |
| 82 | #3968 | C23 | 1 | 8 | yes | — |
| 83 | #3965 | C23 | 1 | 24 | yes | — |
| 84 | #3951 | C23 | 1 | 4 | yes | — |
| 85 | #3951 | C23 | 1 | 12 | yes | — |
| 86 | #3585 | — | 5 | 2 | no | — |
| 87 | C2×#576 | D5 | 1 | 1 | yes | characteristic, complemented |
| 88 | #3573 | — | 5 | 1 | no | — |
| 89 | #3068 | — | 5 | 12 | no | — |
| 90 | #3067 | — | 5 | 6 | no | — |
| 91 | C2×#472 | — | 5 | 6 | no | — |
| 92 | #2916 | — | 5 | 1 | no | — |
| 93 | #2888 | — | 5 | 2 | no | — |
| 94 | C24×C5 | — | 2 | 6 | no | — |
| 95 | C5×#41 | — | 2 | 12 | no | — |
| 96 | C5×#41 | — | 2 | 12 | no | — |
| 97 | C5×#41 | — | 4 | 8 | no | — |
| 98 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 99 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 100 | C2×C5×Q8 | #41 | 1 | 1 | yes | characteristic |
| 101 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 102 | C2×C5×D4 | — | 2 | 6 | no | — |
| 103 | C2×C5×D4 | — | 2 | 12 | no | — |
| 104 | C2×C5×D4 | — | 2 | 12 | no | — |
| 105 | C2×C5×D4 | — | 2 | 6 | no | — |
| 106 | C2×C5×D4 | — | 4 | 24 | no | — |
| 107 | C2×C5×D4 | #41 | 1 | 3 | yes | — |
| 108 | C2×C5×D4 | C24 | 1 | 6 | yes | — |
| 109 | C22×C4×C5 | — | 2 | 6 | no | — |
| 110 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 111 | C2×C22⋊D5 | — | 2 | 6 | no | — |
| 112 | #713 | — | 2 | 4 | no | — |
| 113 | Q8×D5 | — | 2 | 4 | no | — |
| 114 | #711 | — | 2 | 12 | no | — |
| 115 | D4×D5 | — | 2 | 12 | no | — |
| 116 | #709 | — | 2 | 6 | no | — |
| 117 | #709 | — | 2 | 6 | no | — |
| 118 | #709 | C2×D4 | 1 | 12 | yes | — |
| 119 | #709 | C24 | 1 | 4 | yes | — |
| 120 | C2×D20 | C2×D4 | 1 | 6 | yes | — |
| 121 | C2×C4×D5 | — | 2 | 6 | no | — |
| 122 | C2×Dic10 | C2×D4 | 1 | 6 | yes | — |
| 123 | C5×Q16 | — | 2 | 1 | no | — |
| 124 | C5×Q16 | — | 2 | 1 | no | — |
| 125 | C5×SD16 | — | 2 | 12 | no | — |
| 126 | C5×D8 | — | 2 | 3 | no | — |
| 127 | C5×D8 | — | 2 | 3 | no | — |
| 128 | C5×D8 | — | 2 | 12 | no | — |
| 129 | C5×M16 | C2×D4 | 1 | 12 | yes | — |
| 130 | C2×C5×C8 | C2×D4 | 1 | 6 | yes | — |
| 131 | C2×C5×C8 | C2×D4 | 1 | 6 | yes | — |
| 132 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 133 | C2×C5×C8 | C24 | 1 | 3 | yes | — |
| 134 | #689 | — | 2 | 8 | no | — |
| 135 | #688 | — | 2 | 8 | no | — |
| 136 | #687 | — | 2 | 24 | no | — |
| 137 | #686 | — | 2 | 24 | no | — |
| 138 | #681 | — | 2 | 12 | no | — |
| 139 | #681 | — | 2 | 6 | no | — |
| 140 | #681 | C24 | 1 | 8 | yes | — |
| 141 | #681 | C24 | 1 | 4 | yes | — |
| 142 | C2×#168 | — | 2 | 12 | no | — |
| 143 | C2×#168 | — | 2 | 6 | no | — |
| 144 | #676 | — | 2 | 4 | no | — |
| 145 | #676 | — | 2 | 12 | no | — |
| 146 | C8×D5 | — | 2 | 4 | no | — |
| 147 | C8×D5 | — | 2 | 12 | no | — |
| 148 | #585 | — | 5 | 1 | no | — |
| 149 | C2×H(5,𝔽2) | C2×D5 | 1 | 2 | yes | — |
| 150 | #577 | — | 10 | 8 | no | — |
| 151 | #576 | — | 2 | 4 | no | — |
| 152 | #576 | — | 2 | 4 | no | — |
| 153 | #576 | — | 10 | 8 | no | — |
| 154 | #575 | — | 5 | 12 | no | — |
| 155 | C2×AGL(1,ℤ/8) | — | 5 | 12 | no | — |
| 156 | C2×AGL(1,ℤ/8) | C2×D5 | 1 | 6 | yes | complemented |
| 157 | C2×#135 | C2×D5 | 1 | 3 | yes | complemented |
| 158 | C22×D8 | C2×D5 | 1 | 3 | yes | complemented |
| 159 | #568 | — | 5 | 2 | no | — |
| 160 | #568 | — | 5 | 1 | no | — |
| 161 | #568 | — | 5 | 6 | no | — |
| 162 | #568 | — | 10 | 4 | no | — |
| 163 | C2×#131 | — | 5 | 6 | no | — |
| 164 | C2×#131 | — | 10 | 4 | no | — |
| 165 | C2×#131 | C2×D5 | 1 | 1 | yes | characteristic |
| 166 | #473 | — | 5 | 4 | no | — |
| 167 | #472 | — | 5 | 12 | no | — |
| 168 | #472 | — | 5 | 24 | no | — |
| 169 | #471 | — | 5 | 24 | no | — |
| 170 | #430 | — | 5 | 6 | no | — |
| 171 | C2×#108 | — | 5 | 6 | no | — |
| 172 | #413 | — | 5 | 12 | no | — |
| 173 | C2×#100 | — | 5 | 12 | no | — |
| 174 | C23×C5 | — | 2 | 6 | no | — |
| 175 | C23×C5 | — | 4 | 12 | no | — |
| 176 | C23×C5 | — | 16 | 6 | no | — |
| 177 | C23×C5 | C2×#41 | 1 | 3 | yes | — |
| 178 | C22×D5 | — | 2 | 6 | no | — |
| 179 | C5×Q8 | — | 2 | 2 | no | — |
| 180 | C5×Q8 | — | 2 | 2 | no | — |
| 181 | C5×Q8 | #121 | 1 | 4 | yes | — |
| 182 | C5×D4 | — | 2 | 6 | no | — |
| 183 | C5×D4 | — | 2 | 6 | no | — |
| 184 | C5×D4 | — | 4 | 12 | no | — |
| 185 | C5×D4 | — | 4 | 12 | no | — |
| 186 | C5×D4 | #121 | 1 | 12 | yes | — |
| 187 | C2×C4×C5 | — | 2 | 2 | no | — |
| 188 | C2×C4×C5 | — | 4 | 12 | no | — |
| 189 | C2×C4×C5 | C22×D4 | 1 | 6 | yes | — |
| 190 | C2×C4×C5 | C22×D4 | 1 | 6 | yes | — |
| 191 | C2×C4×C5 | C2×#41 | 1 | 3 | yes | — |
| 192 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 193 | C22⋊D5 | — | 2 | 12 | no | — |
| 194 | C22⋊D5 | — | 2 | 4 | no | — |
| 195 | C2×Dic5 | — | 2 | 6 | no | — |
| 196 | D20 | — | 2 | 6 | no | — |
| 197 | D20 | C22×D4 | 1 | 4 | yes | — |
| 198 | C4×D5 | — | 2 | 12 | no | — |
| 199 | C4×D5 | — | 2 | 4 | no | — |
| 200 | Dic10 | — | 2 | 6 | no | — |
| 201 | Dic10 | C22×D4 | 1 | 4 | yes | — |
| 202 | C5×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 203 | C5×C8 | C22×D4 | 1 | 6 | yes | — |
| 204 | C5×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 205 | #168 | — | 2 | 4 | no | — |
| 206 | #168 | — | 2 | 8 | no | — |
| 207 | 2−1+4 | — | 5 | 4 | no | — |
| 208 | 2−1+4 | — | 10 | 1 | no | — |
| 209 | H(5,𝔽2) | — | 2 | 8 | no | — |
| 210 | H(5,𝔽2) | — | 2 | 8 | no | — |
| 211 | H(5,𝔽2) | — | 5 | 4 | no | — |
| 212 | H(5,𝔽2) | — | 10 | 3 | no | — |
| 213 | C2×#41 | — | 2 | 2 | no | — |
| 214 | C2×#41 | — | 5 | 6 | no | — |
| 215 | C2×#41 | — | 10 | 4 | no | — |
| 216 | C2×#41 | C22×D5 | 1 | 6 | yes | — |
| 217 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 218 | C22×D4 | — | 2 | 6 | no | — |
| 219 | C22×D4 | C22×D5 | 1 | 6 | yes | — |
| 220 | #137 | — | 5 | 8 | no | — |
| 221 | #137 | — | 10 | 12 | no | — |
| 222 | AGL(1,ℤ/8) | — | 2 | 24 | no | — |
| 223 | AGL(1,ℤ/8) | — | 5 | 24 | no | — |
| 224 | AGL(1,ℤ/8) | — | 10 | 24 | no | — |
| 225 | AGL(1,ℤ/8) | — | 10 | 12 | no | — |
| 226 | #135 | — | 2 | 6 | no | — |
| 227 | #135 | — | 2 | 6 | no | — |
| 228 | #135 | — | 10 | 24 | no | — |
| 229 | C2×Q16 | C22×D5 | 1 | 1 | yes | characteristic |
| 230 | C2×SD16 | — | 10 | 12 | no | — |
| 231 | C2×SD16 | C22×D5 | 1 | 6 | yes | — |
| 232 | C2×D8 | — | 2 | 6 | no | — |
| 233 | C2×D8 | — | 2 | 6 | no | — |
| 234 | C2×D8 | — | 10 | 12 | no | — |
| 235 | C2×D8 | C22×D5 | 1 | 3 | yes | — |
| 236 | C2×D8 | C22×D5 | 1 | 6 | yes | — |
| 237 | #131 | — | 5 | 4 | no | — |
| 238 | #131 | — | 5 | 12 | no | — |
| 239 | #131 | — | 10 | 8 | no | — |
| 240 | #131 | — | 10 | 4 | no | — |
| 241 | #131 | — | 10 | 12 | no | — |
| 242 | #131 | — | 10 | 6 | no | — |
| 243 | #131 | — | 10 | 6 | no | — |
| 244 | #131 | C22⋊D5 | 1 | 4 | yes | — |
| 245 | #131 | C22⋊D5 | 1 | 4 | yes | — |
| 246 | C2×M16 | — | 5 | 6 | no | — |
| 247 | C2×M16 | — | 5 | 12 | no | — |
| 248 | C2×M16 | — | 10 | 12 | no | — |
| 249 | C2×M16 | — | 10 | 6 | no | — |
| 250 | C2×M16 | C22×D5 | 1 | 3 | yes | — |
| 251 | C22×C8 | — | 10 | 6 | no | — |
| 252 | C22×C8 | C22×D5 | 1 | 3 | yes | — |
| 253 | #108 | — | 5 | 4 | no | — |
| 254 | #108 | — | 5 | 12 | no | — |
| 255 | #101 | — | 5 | 8 | no | — |
| 256 | #100 | — | 5 | 24 | no | — |
| 257 | C22×C5 | — | 4 | 3 | no | — |
| 258 | C22×C5 | — | 4 | 6 | no | — |
| 259 | C22×C5 | — | 8 | 6 | no | — |
| 260 | C22×C5 | — | 16 | 12 | no | — |
| 261 | C22×C5 | C2×#121 | 1 | 6 | yes | — |
| 262 | C22×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 263 | C2×D5 | — | 2 | 4 | no | — |
| 264 | C2×D5 | — | 8 | 6 | no | — |
| 265 | C4×C5 | — | 4 | 2 | no | — |
| 266 | C4×C5 | C2×#121 | 1 | 6 | yes | — |
| 267 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 268 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 269 | Dic5 | — | 2 | 4 | no | — |
| 270 | C24 | — | 2 | 6 | no | — |
| 271 | #41 | — | 2 | 12 | no | — |
| 272 | #41 | — | 2 | 12 | no | — |
| 273 | #41 | — | 4 | 8 | no | — |
| 274 | #41 | — | 5 | 12 | no | — |
| 275 | #41 | — | 5 | 4 | no | — |
| 276 | #41 | — | 10 | 4 | no | — |
| 277 | #41 | — | 10 | 12 | no | — |
| 278 | #41 | — | 10 | 6 | no | — |
| 279 | #41 | — | 10 | 6 | no | — |
| 280 | #41 | D4×D5 | 1 | 4 | yes | — |
| 281 | #41 | C2×C22⋊D5 | 1 | 4 | yes | — |
| 282 | C2×Q8 | — | 5 | 6 | no | — |
| 283 | C2×Q8 | — | 10 | 4 | no | — |
| 284 | C2×Q8 | #711 | 1 | 1 | yes | characteristic |
| 285 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 286 | C2×D4 | — | 2 | 6 | no | — |
| 287 | C2×D4 | — | 2 | 12 | no | — |
| 288 | C2×D4 | — | 2 | 6 | no | — |
| 289 | C2×D4 | — | 2 | 12 | no | — |
| 290 | C2×D4 | — | 4 | 24 | no | — |
| 291 | C2×D4 | — | 5 | 6 | no | — |
| 292 | C2×D4 | — | 10 | 6 | no | — |
| 293 | C2×D4 | — | 10 | 12 | no | — |
| 294 | C2×D4 | #711 | 1 | 3 | yes | — |
| 295 | C2×D4 | C23×D5 | 1 | 6 | yes | — |
| 296 | C22×C4 | — | 2 | 6 | no | — |
| 297 | C22×C4 | — | 10 | 6 | no | — |
| 298 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 299 | Q16 | — | 2 | 1 | no | — |
| 300 | Q16 | — | 2 | 1 | no | — |
| 301 | Q16 | — | 10 | 8 | no | — |
| 302 | SD16 | — | 2 | 12 | no | — |
| 303 | SD16 | — | 10 | 24 | no | — |
| 304 | SD16 | — | 10 | 8 | no | — |
| 305 | D8 | — | 2 | 3 | no | — |
| 306 | D8 | — | 2 | 3 | no | — |
| 307 | D8 | — | 2 | 12 | no | — |
| 308 | D8 | — | 10 | 24 | no | — |
| 309 | M16 | — | 5 | 4 | no | — |
| 310 | M16 | — | 5 | 8 | no | — |
| 311 | M16 | — | 10 | 12 | no | — |
| 312 | M16 | — | 10 | 6 | no | — |
| 313 | M16 | — | 10 | 12 | no | — |
| 314 | M16 | — | 10 | 4 | no | — |
| 315 | M16 | C2×C22⋊D5 | 1 | 12 | yes | — |
| 316 | C2×C8 | — | 10 | 12 | no | — |
| 317 | C2×C8 | — | 10 | 6 | no | — |
| 318 | C2×C8 | — | 10 | 4 | no | — |
| 319 | C2×C8 | — | 10 | 12 | no | — |
| 320 | C2×C8 | C2×C22⋊D5 | 1 | 6 | yes | — |
| 321 | C2×C8 | C2×C22⋊D5 | 1 | 6 | yes | — |
| 322 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 323 | C2×C8 | C23×D5 | 1 | 3 | yes | — |
| 324 | C2×C5 | — | 2 | 6 | no | — |
| 325 | C2×C5 | — | 2 | 1 | no | — |
| 326 | C2×C5 | — | 8 | 6 | no | — |
| 327 | C2×C5 | C22×#121 | 1 | 1 | yes | characteristic |
| 328 | D5 | — | 4 | 4 | no | — |
| 329 | C23 | — | 2 | 6 | no | — |
| 330 | C23 | — | 4 | 12 | no | — |
| 331 | C23 | — | 10 | 6 | no | — |
| 332 | C23 | — | 16 | 6 | no | — |
| 333 | C23 | C2×#711 | 1 | 3 | yes | — |
| 334 | Q8 | — | 2 | 2 | no | — |
| 335 | Q8 | — | 2 | 2 | no | — |
| 336 | Q8 | — | 5 | 4 | no | — |
| 337 | Q8 | — | 10 | 6 | no | — |
| 338 | Q8 | #4084 | 1 | 4 | yes | — |
| 339 | D4 | — | 2 | 6 | no | — |
| 340 | D4 | — | 2 | 6 | no | — |
| 341 | D4 | — | 4 | 12 | no | — |
| 342 | D4 | — | 4 | 12 | no | — |
| 343 | D4 | — | 5 | 4 | no | — |
| 344 | D4 | — | 10 | 12 | no | — |
| 345 | D4 | — | 10 | 4 | no | — |
| 346 | D4 | — | 10 | 6 | no | — |
| 347 | D4 | #4084 | 1 | 12 | yes | — |
| 348 | C2×C4 | — | 2 | 2 | no | — |
| 349 | C2×C4 | — | 4 | 12 | no | — |
| 350 | C2×C4 | — | 10 | 6 | no | — |
| 351 | C2×C4 | — | 10 | 12 | no | — |
| 352 | C2×C4 | — | 10 | 4 | no | — |
| 353 | C2×C4 | C2×D4×D5 | 1 | 6 | yes | — |
| 354 | C2×C4 | C2×#711 | 1 | 3 | yes | — |
| 355 | C2×C4 | C22×C22⋊D5 | 1 | 6 | yes | — |
| 356 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 357 | C8 | — | 10 | 8 | no | — |
| 358 | C8 | — | 10 | 4 | no | — |
| 359 | C8 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 360 | C8 | C22×C22⋊D5 | 1 | 6 | yes | — |
| 361 | C8 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 362 | C5 | #60471 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 363 | C22 | — | 4 | 3 | no | — |
| 364 | C22 | — | 4 | 6 | no | — |
| 365 | C22 | — | 8 | 6 | no | — |
| 366 | C22 | — | 10 | 4 | no | — |
| 367 | C22 | — | 16 | 12 | no | — |
| 368 | C22 | — | 40 | 6 | no | — |
| 369 | C22 | C2×#4084 | 1 | 6 | yes | — |
| 370 | C22 | C22×#711 | 1 | 1 | yes | characteristic |
| 371 | C4 | — | 4 | 2 | no | — |
| 372 | C4 | — | 10 | 4 | no | — |
| 373 | C4 | C2×#4084 | 1 | 6 | yes | — |
| 374 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 375 | C4 | C23×C22⋊D5 | 1 | 1 | yes | characteristic |
| 376 | C2 | — | 2 | 1 | no | — |
| 377 | C2 | — | 2 | 6 | no | — |
| 378 | C2 | — | 8 | 6 | no | — |
| 379 | C2 | — | 20 | 4 | no | — |
| 380 | C2 | C22×#4084 | 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