← #11918963
Subgroups — #11918963
Order 1152.
4272 conjugacy classes of subgroups.
The subgroup lattice has 387 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C32×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596756 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10596309 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #10596308 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #10596307 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10596306 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10596293 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | C2×#64159 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | C2×#64157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #87297 | — | 3 | 4 | no | maximal |
| 11 | C32×2−1+4 | — | 2 | 1 | no | — |
| 12 | C32×2−1+4 | C22 | 1 | 4 | yes | complemented |
| 13 | C32×H(5,𝔽2) | — | 2 | 3 | no | — |
| 14 | C32×H(5,𝔽2) | C22 | 1 | 4 | yes | complemented |
| 15 | C2×C32×#41 | — | 2 | 4 | no | — |
| 16 | C2×C32×#41 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C32×#41 | C22 | 1 | 6 | yes | complemented |
| 18 | #64367 | C22 | 1 | 4 | yes | complemented |
| 19 | #64366 | C22 | 1 | 4 | yes | complemented |
| 20 | #41×C3⋊D3 | — | 2 | 4 | no | — |
| 21 | #64364 | — | 2 | 1 | no | — |
| 22 | #64361 | — | 2 | 3 | no | — |
| 23 | C2×#3828 | C22 | 1 | 6 | yes | complemented |
| 24 | #64160 | C22 | 1 | 12 | yes | complemented |
| 25 | #64159 | C22 | 1 | 4 | yes | complemented |
| 26 | #64159 | C22 | 1 | 12 | yes | complemented |
| 27 | #64159 | C22 | 1 | 12 | yes | complemented |
| 28 | #64159 | C22 | 1 | 12 | yes | complemented |
| 29 | #64158 | C22 | 1 | 12 | yes | complemented |
| 30 | #64157 | C22 | 1 | 4 | yes | complemented |
| 31 | #64157 | C22 | 1 | 4 | yes | complemented |
| 32 | C2×#3756 | C22 | 1 | 6 | yes | complemented |
| 33 | #64151 | C22 | 1 | 12 | yes | complemented |
| 34 | C2×#3755 | C22 | 1 | 6 | yes | complemented |
| 35 | C2×#3754 | C22 | 1 | 6 | yes | complemented |
| 36 | #64141 | C22 | 1 | 12 | yes | complemented |
| 37 | C2×#3753 | C22 | 1 | 6 | yes | complemented |
| 38 | C2×#3748 | C22 | 1 | 3 | yes | complemented |
| 39 | C22×C3⋊(C3⋊C8) | C22 | 1 | 3 | yes | complemented |
| 40 | C3×#585 | D3 | 1 | 4 | yes | complemented |
| 41 | #5964 | — | 3 | 4 | no | — |
| 42 | #5838 | — | 3 | 16 | no | — |
| 43 | #5837 | — | 3 | 16 | no | — |
| 44 | #5836 | — | 3 | 16 | no | — |
| 45 | #5835 | — | 3 | 16 | no | — |
| 46 | #5822 | — | 3 | 24 | no | — |
| 47 | C2×#950 | — | 3 | 24 | no | — |
| 48 | C2×#948 | — | 3 | 4 | no | — |
| 49 | C32×#41 | — | 2 | 4 | no | — |
| 50 | C32×#41 | — | 2 | 12 | no | — |
| 51 | C32×#41 | — | 2 | 6 | no | — |
| 52 | C32×#41 | — | 2 | 6 | no | — |
| 53 | C32×#41 | D4 | 1 | 4 | yes | — |
| 54 | C32×#41 | C23 | 1 | 4 | yes | — |
| 55 | C32×#41 | C23 | 1 | 12 | yes | — |
| 56 | C32×#41 | C23 | 1 | 4 | yes | — |
| 57 | C2×C32×Q8 | — | 2 | 4 | no | — |
| 58 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×C32×Q8 | C23 | 1 | 6 | yes | — |
| 60 | C2×C32×D4 | — | 2 | 6 | no | — |
| 61 | C2×C32×D4 | — | 2 | 12 | no | — |
| 62 | C2×C32×D4 | D4 | 1 | 3 | yes | — |
| 63 | C2×C32×D4 | C23 | 1 | 6 | yes | — |
| 64 | C22×C32×C4 | — | 2 | 6 | no | — |
| 65 | C22×C32×C4 | C23 | 1 | 3 | yes | — |
| 66 | C2×#638 | — | 2 | 6 | no | — |
| 67 | #3832 | — | 2 | 4 | no | — |
| 68 | Q8×C3⋊D3 | — | 2 | 4 | no | — |
| 69 | #3830 | — | 2 | 12 | no | — |
| 70 | D4×C3⋊D3 | — | 2 | 12 | no | — |
| 71 | #3828 | — | 2 | 6 | no | — |
| 72 | #3828 | — | 2 | 6 | no | — |
| 73 | #3828 | C23 | 1 | 4 | yes | — |
| 74 | #3828 | C23 | 1 | 12 | yes | — |
| 75 | C2×C4⋊(C3⋊D3) | C23 | 1 | 6 | yes | — |
| 76 | C2×C4×C3⋊D3 | — | 2 | 6 | no | — |
| 77 | C2×#634 | C23 | 1 | 6 | yes | — |
| 78 | #3756 | C23 | 1 | 12 | yes | — |
| 79 | #3756 | C23 | 1 | 4 | yes | — |
| 80 | #3755 | C23 | 1 | 4 | yes | — |
| 81 | #3755 | C23 | 1 | 12 | yes | — |
| 82 | #3754 | C23 | 1 | 12 | yes | — |
| 83 | #3754 | C23 | 1 | 4 | yes | — |
| 84 | #3753 | C23 | 1 | 4 | yes | — |
| 85 | #3753 | C23 | 1 | 12 | yes | — |
| 86 | #3748 | C23 | 1 | 12 | yes | — |
| 87 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C3⋊(C3⋊C8) | C23 | 1 | 3 | yes | — |
| 89 | C2×C3⋊(C3⋊C8) | C23 | 1 | 6 | yes | — |
| 90 | C2×C3⋊(C3⋊C8) | C23 | 1 | 6 | yes | — |
| 91 | #3584 | — | 9 | 1 | no | Sylow |
| 92 | C3×2−1+4 | — | 2 | 4 | no | — |
| 93 | C3×2−1+4 | C2×D3 | 1 | 16 | yes | complemented |
| 94 | C3×H(5,𝔽2) | — | 2 | 12 | no | — |
| 95 | C3×H(5,𝔽2) | C2×D3 | 1 | 16 | yes | complemented |
| 96 | C2×C3×#41 | — | 2 | 16 | no | — |
| 97 | C2×C3×#41 | C2×D3 | 1 | 4 | yes | — |
| 98 | C2×C3×#41 | C2×D3 | 1 | 24 | yes | complemented |
| 99 | #1010 | — | 3 | 16 | no | — |
| 100 | #1009 | — | 3 | 16 | no | — |
| 101 | D3×#41 | — | 6 | 16 | no | — |
| 102 | #1007 | — | 6 | 4 | no | — |
| 103 | #1004 | — | 6 | 12 | no | — |
| 104 | C2×#235 | — | 3 | 24 | no | — |
| 105 | #951 | — | 3 | 48 | no | — |
| 106 | #950 | — | 3 | 16 | no | — |
| 107 | #950 | — | 3 | 48 | no | — |
| 108 | #950 | — | 3 | 48 | no | — |
| 109 | #950 | — | 3 | 48 | no | — |
| 110 | #949 | — | 3 | 48 | no | — |
| 111 | #948 | — | 3 | 16 | no | — |
| 112 | #948 | — | 3 | 16 | no | — |
| 113 | C2×#216 | — | 3 | 24 | no | — |
| 114 | #942 | — | 3 | 48 | no | — |
| 115 | C2×#215 | — | 3 | 24 | no | — |
| 116 | C2×#214 | — | 3 | 24 | no | — |
| 117 | #932 | — | 3 | 48 | no | — |
| 118 | C2×#213 | — | 3 | 24 | no | — |
| 119 | C2×#208 | — | 3 | 12 | no | — |
| 120 | C22×C3⋊C8 | — | 3 | 12 | no | — |
| 121 | C23×C32 | — | 2 | 6 | no | — |
| 122 | C23×C32 | C2×D4 | 1 | 3 | yes | — |
| 123 | C22×C3⋊D3 | — | 2 | 6 | no | — |
| 124 | C32×Q8 | — | 2 | 6 | no | — |
| 125 | C32×Q8 | C2×D4 | 1 | 4 | yes | — |
| 126 | C32×Q8 | C24 | 1 | 4 | yes | — |
| 127 | C32×D4 | — | 2 | 12 | no | — |
| 128 | C32×D4 | — | 2 | 4 | no | — |
| 129 | C32×D4 | — | 2 | 6 | no | — |
| 130 | C32×D4 | C2×D4 | 1 | 12 | yes | — |
| 131 | C32×D4 | C24 | 1 | 4 | yes | — |
| 132 | C2×C32×C4 | — | 2 | 6 | no | — |
| 133 | C2×C32×C4 | — | 2 | 4 | no | — |
| 134 | C2×C32×C4 | — | 2 | 12 | no | — |
| 135 | C2×C32×C4 | C2×D4 | 1 | 6 | yes | — |
| 136 | C2×C32×C4 | C2×D4 | 1 | 3 | yes | — |
| 137 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 138 | C2×C32×C4 | C24 | 1 | 6 | yes | — |
| 139 | #638 | — | 2 | 4 | no | — |
| 140 | #638 | — | 2 | 12 | no | — |
| 141 | C2×C3⋊Dic3 | — | 2 | 6 | no | — |
| 142 | C4⋊(C3⋊D3) | — | 2 | 6 | no | — |
| 143 | C4⋊(C3⋊D3) | C24 | 1 | 4 | yes | — |
| 144 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 145 | C4×C3⋊D3 | — | 2 | 12 | no | — |
| 146 | #634 | — | 2 | 6 | no | — |
| 147 | #634 | C24 | 1 | 4 | yes | — |
| 148 | C3⋊(C3⋊C8) | C24 | 1 | 1 | yes | characteristic |
| 149 | C3⋊(C3⋊C8) | C24 | 1 | 1 | yes | characteristic |
| 150 | C3⋊(C3⋊C8) | C24 | 1 | 6 | yes | — |
| 151 | #585 | — | 9 | 1 | no | — |
| 152 | #585 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 153 | #578 | — | 9 | 4 | no | — |
| 154 | #577 | — | 9 | 4 | no | — |
| 155 | #577 | — | 9 | 4 | no | — |
| 156 | #576 | — | 9 | 4 | no | — |
| 157 | #575 | — | 9 | 6 | no | — |
| 158 | C2×#135 | — | 9 | 6 | no | — |
| 159 | C2×#131 | — | 9 | 1 | no | — |
| 160 | C3×#41 | — | 2 | 16 | no | — |
| 161 | C3×#41 | — | 2 | 48 | no | — |
| 162 | C3×#41 | — | 2 | 24 | no | — |
| 163 | C3×#41 | — | 2 | 24 | no | — |
| 164 | C3×#41 | #67 | 1 | 16 | yes | — |
| 165 | C3×#41 | C22×D3 | 1 | 48 | yes | — |
| 166 | C3×#41 | C22×D3 | 1 | 16 | yes | — |
| 167 | C3×#41 | C22×D3 | 1 | 16 | yes | — |
| 168 | C2×C3×Q8 | — | 2 | 16 | no | — |
| 169 | C2×C3×Q8 | #67 | 1 | 4 | yes | — |
| 170 | C2×C3×Q8 | C22×D3 | 1 | 24 | yes | — |
| 171 | C2×C3×D4 | — | 2 | 24 | no | — |
| 172 | C2×C3×D4 | — | 2 | 48 | no | — |
| 173 | C2×C3×D4 | #67 | 1 | 12 | yes | — |
| 174 | C2×C3×D4 | C22×D3 | 1 | 24 | yes | — |
| 175 | C22×C3×C4 | — | 2 | 24 | no | — |
| 176 | C22×C3×C4 | C22×D3 | 1 | 12 | yes | — |
| 177 | C2×#67 | — | 6 | 24 | no | — |
| 178 | #239 | — | 6 | 16 | no | — |
| 179 | D3×Q8 | — | 6 | 16 | no | — |
| 180 | #237 | — | 6 | 48 | no | — |
| 181 | D3×D4 | — | 6 | 48 | no | — |
| 182 | #235 | — | 3 | 48 | no | — |
| 183 | #235 | — | 3 | 16 | no | — |
| 184 | #235 | — | 6 | 24 | no | — |
| 185 | #235 | — | 6 | 24 | no | — |
| 186 | C2×D12 | — | 3 | 24 | no | — |
| 187 | C2×C4×D3 | — | 6 | 24 | no | — |
| 188 | C2×Dic6 | — | 3 | 24 | no | — |
| 189 | #216 | — | 3 | 48 | no | — |
| 190 | #216 | — | 3 | 16 | no | — |
| 191 | #215 | — | 3 | 16 | no | — |
| 192 | #215 | — | 3 | 48 | no | — |
| 193 | #214 | — | 3 | 48 | no | — |
| 194 | #214 | — | 3 | 16 | no | — |
| 195 | #213 | — | 3 | 16 | no | — |
| 196 | #213 | — | 3 | 48 | no | — |
| 197 | #208 | — | 3 | 48 | no | — |
| 198 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 199 | C2×C3⋊C8 | — | 3 | 12 | no | — |
| 200 | C2×C3⋊C8 | — | 3 | 24 | no | — |
| 201 | C2×C3⋊C8 | — | 3 | 24 | no | — |
| 202 | C22×C32 | — | 2 | 4 | no | — |
| 203 | C22×C32 | — | 4 | 3 | no | — |
| 204 | C22×C32 | — | 8 | 6 | no | — |
| 205 | C22×C32 | C22×D4 | 1 | 6 | yes | — |
| 206 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 207 | C2×C3⋊D3 | — | 2 | 4 | no | — |
| 208 | C2×C3⋊D3 | — | 8 | 6 | no | — |
| 209 | C32×C4 | — | 2 | 4 | no | — |
| 210 | C32×C4 | C22×D4 | 1 | 6 | yes | — |
| 211 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 212 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 213 | C3⋊Dic3 | — | 2 | 4 | no | — |
| 214 | 2−1+4 | — | 2 | 1 | no | — |
| 215 | 2−1+4 | — | 9 | 4 | no | — |
| 216 | 2−1+4 | — | 18 | 1 | no | — |
| 217 | 2−1+4 | C2×C3⋊D3 | 1 | 4 | yes | complemented |
| 218 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 219 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 220 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 221 | H(5,𝔽2) | C2×C3⋊D3 | 1 | 4 | yes | complemented |
| 222 | C2×#41 | — | 2 | 4 | no | — |
| 223 | C2×#41 | — | 9 | 6 | no | — |
| 224 | C2×#41 | — | 18 | 4 | no | — |
| 225 | C2×#41 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 226 | C2×#41 | C2×C3⋊D3 | 1 | 6 | yes | complemented |
| 227 | #137 | — | 9 | 12 | no | — |
| 228 | #137 | — | 9 | 12 | no | — |
| 229 | AGL(1,ℤ/8) | — | 9 | 12 | no | — |
| 230 | AGL(1,ℤ/8) | — | 9 | 12 | no | — |
| 231 | #135 | — | 9 | 4 | no | — |
| 232 | #135 | — | 9 | 12 | no | — |
| 233 | #135 | — | 9 | 12 | no | — |
| 234 | #135 | — | 9 | 12 | no | — |
| 235 | C2×Q16 | — | 9 | 6 | no | — |
| 236 | C2×SD16 | — | 9 | 6 | no | — |
| 237 | C2×SD16 | — | 9 | 6 | no | — |
| 238 | C2×D8 | — | 9 | 6 | no | — |
| 239 | #131 | — | 9 | 4 | no | — |
| 240 | #131 | — | 9 | 4 | no | — |
| 241 | C2×M16 | — | 9 | 3 | no | — |
| 242 | C22×C8 | — | 9 | 3 | no | — |
| 243 | C23×C3 | — | 2 | 24 | no | — |
| 244 | C23×C3 | C2×#67 | 1 | 12 | yes | — |
| 245 | C22×D3 | — | 6 | 24 | no | — |
| 246 | C3×Q8 | — | 2 | 24 | no | — |
| 247 | C3×Q8 | C2×#67 | 1 | 16 | yes | — |
| 248 | C3×Q8 | C23×D3 | 1 | 16 | yes | — |
| 249 | C3×D4 | — | 2 | 48 | no | — |
| 250 | C3×D4 | — | 2 | 16 | no | — |
| 251 | C3×D4 | — | 2 | 24 | no | — |
| 252 | C3×D4 | C2×#67 | 1 | 48 | yes | — |
| 253 | C3×D4 | C23×D3 | 1 | 16 | yes | — |
| 254 | C2×C3×C4 | — | 2 | 24 | no | — |
| 255 | C2×C3×C4 | — | 2 | 16 | no | — |
| 256 | C2×C3×C4 | — | 2 | 48 | no | — |
| 257 | C2×C3×C4 | C2×#67 | 1 | 24 | yes | — |
| 258 | C2×C3×C4 | C2×#67 | 1 | 12 | yes | — |
| 259 | C2×C3×C4 | C23×D3 | 1 | 4 | yes | — |
| 260 | C2×C3×C4 | C23×D3 | 1 | 24 | yes | — |
| 261 | #67 | — | 6 | 16 | no | — |
| 262 | #67 | — | 6 | 48 | no | — |
| 263 | C2×Dic3 | — | 6 | 24 | no | — |
| 264 | D12 | — | 3 | 16 | no | — |
| 265 | D12 | — | 6 | 24 | no | — |
| 266 | C4×D3 | — | 6 | 16 | no | — |
| 267 | C4×D3 | — | 6 | 48 | no | — |
| 268 | Dic6 | — | 3 | 16 | no | — |
| 269 | Dic6 | — | 6 | 24 | no | — |
| 270 | C3⋊C8 | — | 3 | 4 | no | — |
| 271 | C3⋊C8 | — | 3 | 4 | no | — |
| 272 | C3⋊C8 | — | 3 | 24 | no | — |
| 273 | C2×C32 | — | 2 | 6 | no | — |
| 274 | C2×C32 | — | 2 | 1 | no | — |
| 275 | C2×C32 | — | 4 | 4 | no | — |
| 276 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 277 | C3⋊D3 | — | 4 | 4 | no | — |
| 278 | #41 | — | 2 | 4 | no | — |
| 279 | #41 | — | 2 | 12 | no | — |
| 280 | #41 | — | 2 | 6 | no | — |
| 281 | #41 | — | 2 | 6 | no | — |
| 282 | #41 | — | 9 | 4 | no | — |
| 283 | #41 | — | 9 | 12 | no | — |
| 284 | #41 | — | 18 | 4 | no | — |
| 285 | #41 | — | 18 | 12 | no | — |
| 286 | #41 | — | 18 | 6 | no | — |
| 287 | #41 | — | 18 | 6 | no | — |
| 288 | #41 | #638 | 1 | 4 | yes | — |
| 289 | #41 | C22×C3⋊D3 | 1 | 4 | yes | — |
| 290 | #41 | C22×C3⋊D3 | 1 | 12 | yes | — |
| 291 | #41 | C22×C3⋊D3 | 1 | 4 | yes | — |
| 292 | C2×Q8 | — | 2 | 4 | no | — |
| 293 | C2×Q8 | — | 9 | 6 | no | — |
| 294 | C2×Q8 | — | 18 | 4 | no | — |
| 295 | C2×Q8 | #638 | 1 | 1 | yes | characteristic |
| 296 | C2×Q8 | C22×C3⋊D3 | 1 | 6 | yes | — |
| 297 | C2×D4 | — | 2 | 6 | no | — |
| 298 | C2×D4 | — | 2 | 12 | no | — |
| 299 | C2×D4 | — | 9 | 6 | no | — |
| 300 | C2×D4 | — | 18 | 6 | no | — |
| 301 | C2×D4 | — | 18 | 12 | no | — |
| 302 | C2×D4 | #638 | 1 | 3 | yes | — |
| 303 | C2×D4 | C22×C3⋊D3 | 1 | 6 | yes | — |
| 304 | C22×C4 | — | 2 | 6 | no | — |
| 305 | C22×C4 | — | 18 | 6 | no | — |
| 306 | C22×C4 | C22×C3⋊D3 | 1 | 3 | yes | — |
| 307 | Q16 | — | 9 | 4 | no | — |
| 308 | Q16 | — | 9 | 12 | no | — |
| 309 | SD16 | — | 9 | 4 | no | — |
| 310 | SD16 | — | 9 | 12 | no | — |
| 311 | SD16 | — | 9 | 4 | no | — |
| 312 | SD16 | — | 9 | 12 | no | — |
| 313 | D8 | — | 9 | 4 | no | — |
| 314 | D8 | — | 9 | 12 | no | — |
| 315 | M16 | — | 9 | 12 | no | — |
| 316 | C2×C8 | — | 9 | 1 | no | — |
| 317 | C2×C8 | — | 9 | 3 | no | — |
| 318 | C2×C8 | — | 9 | 6 | no | — |
| 319 | C2×C8 | — | 9 | 6 | no | — |
| 320 | C22×C3 | — | 2 | 16 | no | — |
| 321 | C22×C3 | — | 4 | 12 | no | — |
| 322 | C22×C3 | — | 8 | 24 | no | — |
| 323 | C22×C3 | C22×#67 | 1 | 24 | yes | — |
| 324 | C22×C3 | C22×#67 | 1 | 4 | yes | — |
| 325 | C2×D3 | — | 6 | 16 | no | — |
| 326 | C2×D3 | — | 24 | 24 | no | — |
| 327 | C3×C4 | — | 2 | 16 | no | — |
| 328 | C3×C4 | C22×#67 | 1 | 24 | yes | — |
| 329 | C3×C4 | C22×#67 | 1 | 4 | yes | — |
| 330 | C3×C4 | C24×D3 | 1 | 4 | yes | — |
| 331 | Dic3 | — | 6 | 16 | no | — |
| 332 | C32 | #3584 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 333 | C23 | — | 2 | 6 | no | — |
| 334 | C23 | — | 18 | 6 | no | — |
| 335 | C23 | C2×#638 | 1 | 3 | yes | — |
| 336 | Q8 | — | 2 | 6 | no | — |
| 337 | Q8 | — | 9 | 4 | no | — |
| 338 | Q8 | — | 18 | 6 | no | — |
| 339 | Q8 | C2×#638 | 1 | 4 | yes | — |
| 340 | Q8 | C23×C3⋊D3 | 1 | 4 | yes | — |
| 341 | D4 | — | 2 | 12 | no | — |
| 342 | D4 | — | 2 | 4 | no | — |
| 343 | D4 | — | 2 | 6 | no | — |
| 344 | D4 | — | 9 | 4 | no | — |
| 345 | D4 | — | 18 | 12 | no | — |
| 346 | D4 | — | 18 | 4 | no | — |
| 347 | D4 | — | 18 | 6 | no | — |
| 348 | D4 | C2×#638 | 1 | 12 | yes | — |
| 349 | D4 | C23×C3⋊D3 | 1 | 4 | yes | — |
| 350 | C2×C4 | — | 2 | 6 | no | — |
| 351 | C2×C4 | — | 2 | 12 | no | — |
| 352 | C2×C4 | — | 2 | 4 | no | — |
| 353 | C2×C4 | — | 18 | 6 | no | — |
| 354 | C2×C4 | — | 18 | 12 | no | — |
| 355 | C2×C4 | — | 18 | 4 | no | — |
| 356 | C2×C4 | C2×#638 | 1 | 3 | yes | — |
| 357 | C2×C4 | C2×#638 | 1 | 6 | yes | — |
| 358 | C2×C4 | C23×C3⋊D3 | 1 | 6 | yes | — |
| 359 | C2×C4 | C23×C3⋊D3 | 1 | 1 | yes | characteristic |
| 360 | C8 | — | 9 | 1 | no | — |
| 361 | C8 | — | 9 | 1 | no | — |
| 362 | C8 | — | 9 | 6 | no | — |
| 363 | C2×C3 | — | 2 | 24 | no | — |
| 364 | C2×C3 | — | 2 | 4 | no | — |
| 365 | C2×C3 | — | 4 | 16 | no | — |
| 366 | C2×C3 | C23×#67 | 1 | 4 | yes | — |
| 367 | D3 | — | 12 | 16 | no | — |
| 368 | C22 | — | 2 | 4 | no | — |
| 369 | C22 | — | 4 | 3 | no | — |
| 370 | C22 | — | 8 | 6 | no | — |
| 371 | C22 | — | 18 | 4 | no | — |
| 372 | C22 | — | 72 | 6 | no | — |
| 373 | C22 | C22×#638 | 1 | 6 | yes | — |
| 374 | C22 | C22×#638 | 1 | 1 | yes | characteristic |
| 375 | C4 | — | 2 | 4 | no | — |
| 376 | C4 | — | 18 | 4 | no | — |
| 377 | C4 | C22×#638 | 1 | 6 | yes | — |
| 378 | C4 | C22×#638 | 1 | 1 | yes | characteristic |
| 379 | C4 | C24×C3⋊D3 | 1 | 1 | yes | characteristic |
| 380 | C3 | #87297 | 1 | 4 | yes | complemented |
| 381 | C2 | — | 2 | 1 | no | — |
| 382 | C2 | — | 2 | 6 | no | — |
| 383 | C2 | — | 4 | 4 | no | — |
| 384 | C2 | — | 36 | 4 | no | — |
| 385 | C2 | C23×#638 | 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