← #11858559
Subgroups — #11858559
Order 1152.
1017 conjugacy classes of subgroups.
The subgroup lattice has 426 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#63805 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10594510 | C2 | 1 | 2 | yes | maximal |
| 3 | C3⋊D3×#106 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4861 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10590714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10590683 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10590583 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10590571 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | D3×#808 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #79209 | — | 3 | 2 | no | maximal |
| 11 | C2×#3798 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 13 | C4⋊C4×C3⋊D3 | C22 | 1 | 2 | yes | — |
| 14 | C2×C3×ΓL(1,𝔽25) | C22 | 1 | 2 | yes | — |
| 15 | C3×#892 | C22 | 1 | 2 | yes | — |
| 16 | C3×D3×C4⋊C4 | C22 | 1 | 2 | yes | — |
| 17 | C4×#626 | — | 2 | 2 | no | — |
| 18 | D3×C4⋊Dic3 | C22 | 1 | 2 | yes | — |
| 19 | #63881 | — | 2 | 2 | no | — |
| 20 | #63879 | — | 2 | 2 | no | — |
| 21 | #63849 | C22 | 1 | 2 | yes | — |
| 22 | #63841 | C22 | 1 | 2 | yes | — |
| 23 | #63837 | — | 2 | 2 | no | — |
| 24 | C2×#3712 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×D3×C3⋊C8 | C22 | 1 | 2 | yes | — |
| 26 | #63805 | C4 | 1 | 8 | yes | complemented |
| 27 | C32×#106 | C22 | 1 | 1 | yes | characteristic |
| 28 | #63644 | C22 | 1 | 1 | yes | characteristic |
| 29 | #63635 | C22 | 1 | 2 | yes | — |
| 30 | C3×#818 | C22 | 1 | 2 | yes | — |
| 31 | C3×#808 | C22 | 1 | 2 | yes | — |
| 32 | C3×#807 | C22 | 1 | 2 | yes | — |
| 33 | #63575 | C22 | 1 | 2 | yes | — |
| 34 | #63574 | C22 | 1 | 1 | yes | characteristic |
| 35 | #63574 | C22 | 1 | 1 | yes | characteristic |
| 36 | #63573 | C22 | 1 | 2 | yes | — |
| 37 | C2×#907 | — | 3 | 2 | no | — |
| 38 | #5523 | — | 3 | 2 | no | — |
| 39 | #5504 | — | 3 | 2 | no | — |
| 40 | C3×#428 | — | 3 | 2 | no | — |
| 41 | #5121 | — | 3 | 2 | no | — |
| 42 | #4998 | — | 3 | 2 | no | — |
| 43 | C2×#808 | — | 3 | 2 | no | — |
| 44 | #4881 | — | 3 | 2 | no | — |
| 45 | #4881 | — | 3 | 2 | no | — |
| 46 | #4880 | — | 3 | 2 | no | — |
| 47 | #4880 | — | 3 | 2 | no | — |
| 48 | #4861 | — | 3 | 2 | no | — |
| 49 | #4861 | D3 | 1 | 2 | yes | complemented |
| 50 | D3×#106 | — | 3 | 2 | no | — |
| 51 | D3×#106 | — | 3 | 2 | no | — |
| 52 | D3×#106 | — | 6 | 1 | no | — |
| 53 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 54 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 55 | C2×C3×C4×D3 | — | 2 | 2 | no | — |
| 56 | C2×C3×C4×D3 | C23 | 1 | 2 | yes | — |
| 57 | C2×#627 | D4 | 1 | 1 | yes | characteristic |
| 58 | C2×#626 | D4 | 1 | 2 | yes | — |
| 59 | C2×#625 | D4 | 1 | 1 | yes | characteristic |
| 60 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 61 | #3798 | C2×C4 | 1 | 4 | yes | — |
| 62 | #3798 | Q8 | 1 | 4 | yes | — |
| 63 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 64 | C32×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 65 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 66 | #3750 | — | 2 | 2 | no | — |
| 67 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 68 | C8×C3⋊D3 | C2×C4 | 1 | 4 | yes | complemented |
| 69 | C3×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 70 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 71 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 72 | C3×Dic3⋊C4 | — | 2 | 2 | no | — |
| 73 | C3×C4×Dic3 | — | 2 | 2 | no | — |
| 74 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 75 | C3×ΓL(1,𝔽25) | C2×C4 | 1 | 8 | yes | complemented |
| 76 | Dic3⋊Dic3 | — | 2 | 2 | no | — |
| 77 | #3722 | — | 2 | 2 | no | — |
| 78 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 79 | Dic32 | — | 2 | 2 | no | — |
| 80 | Dic32 | — | 2 | 2 | no | — |
| 81 | #3712 | C2×C4 | 1 | 4 | yes | complemented |
| 82 | D3×C3⋊C8 | C2×C4 | 1 | 8 | yes | complemented |
| 83 | #2912 | — | 9 | 1 | no | Sylow |
| 84 | C2×#235 | — | 3 | 2 | no | — |
| 85 | C2×C3×M16 | — | 3 | 2 | no | — |
| 86 | C3×#117 | — | 3 | 2 | no | — |
| 87 | C2×C3×C4⋊C4 | — | 3 | 2 | no | — |
| 88 | C4×#67 | — | 6 | 2 | no | — |
| 89 | C4×#67 | — | 6 | 2 | no | — |
| 90 | #926 | — | 3 | 2 | no | — |
| 91 | C2×C4⋊Dic3 | — | 3 | 2 | no | — |
| 92 | C22×C3⋊C8 | — | 3 | 2 | no | — |
| 93 | #907 | — | 3 | 16 | no | — |
| 94 | C2×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 95 | C2×ΓL(1,𝔽25) | C2×D3 | 1 | 2 | yes | — |
| 96 | C2×D3×C8 | — | 3 | 2 | no | — |
| 97 | C2×D3×C8 | — | 3 | 2 | no | — |
| 98 | C2×D3×C8 | — | 6 | 1 | no | — |
| 99 | #893 | — | 6 | 2 | no | — |
| 100 | #892 | — | 3 | 2 | no | — |
| 101 | #892 | — | 3 | 2 | no | — |
| 102 | #892 | — | 3 | 2 | no | — |
| 103 | #892 | C2×D3 | 1 | 2 | yes | — |
| 104 | D3×C4⋊C4 | — | 3 | 2 | no | — |
| 105 | D3×C4⋊C4 | — | 3 | 2 | no | — |
| 106 | D3×C4⋊C4 | — | 3 | 2 | no | — |
| 107 | D3×C4⋊C4 | — | 6 | 2 | no | — |
| 108 | D3×C4⋊C4 | C2×D3 | 1 | 2 | yes | — |
| 109 | #887 | — | 6 | 2 | no | — |
| 110 | #67⋊C4 | — | 6 | 2 | no | — |
| 111 | #67⋊C4 | — | 6 | 2 | no | — |
| 112 | C4×D12 | — | 6 | 2 | no | — |
| 113 | C4×Dic6 | — | 6 | 2 | no | — |
| 114 | C3×#107 | — | 3 | 2 | no | — |
| 115 | C3×#107 | — | 3 | 2 | no | — |
| 116 | C3×#106 | — | 2 | 1 | no | — |
| 117 | C3×#106 | — | 3 | 2 | no | — |
| 118 | C3×#106 | C2×D3 | 1 | 2 | yes | — |
| 119 | #818 | — | 3 | 2 | no | — |
| 120 | #818 | C2×D3 | 1 | 2 | yes | — |
| 121 | #817 | — | 3 | 2 | no | — |
| 122 | #817 | — | 3 | 2 | no | — |
| 123 | #817 | — | 6 | 1 | no | — |
| 124 | #808 | — | 3 | 2 | no | — |
| 125 | #808 | — | 3 | 2 | no | — |
| 126 | #808 | — | 3 | 2 | no | — |
| 127 | #808 | — | 3 | 2 | no | — |
| 128 | #808 | — | 3 | 2 | no | — |
| 129 | #808 | — | 6 | 2 | no | — |
| 130 | #808 | C2×D3 | 1 | 2 | yes | — |
| 131 | #807 | — | 3 | 2 | no | — |
| 132 | #807 | C2×D3 | 1 | 2 | yes | — |
| 133 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C22×C3×D3 | C2×D4 | 1 | 2 | yes | — |
| 135 | C2×C32×C4 | — | 2 | 2 | no | — |
| 136 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 137 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 138 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C4×C3⋊D3 | — | 8 | 2 | no | — |
| 140 | C4×C3⋊D3 | C22×C4 | 1 | 2 | yes | — |
| 141 | C4×C3⋊D3 | C2×Q8 | 1 | 2 | yes | — |
| 142 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 143 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 144 | C2×C3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 145 | C3×C4×D3 | — | 8 | 2 | no | — |
| 146 | C3×C4×D3 | C22×C4 | 1 | 4 | yes | — |
| 147 | C3×C4×D3 | C2×Q8 | 1 | 4 | yes | — |
| 148 | #627 | C4⋊C4 | 1 | 4 | yes | — |
| 149 | #626 | C4⋊C4 | 1 | 8 | yes | — |
| 150 | #625 | C4⋊C4 | 1 | 4 | yes | — |
| 151 | D3×Dic3 | — | 8 | 2 | no | — |
| 152 | C32×C8 | C22×C4 | 1 | 2 | yes | — |
| 153 | C3⋊(C3⋊C8) | C22×C4 | 1 | 2 | yes | — |
| 154 | C3×C3⋊C8 | C22×C4 | 1 | 4 | yes | — |
| 155 | C2×#131 | — | 9 | 1 | no | — |
| 156 | #520 | — | 9 | 2 | no | — |
| 157 | #428 | — | 3 | 2 | no | — |
| 158 | #428 | — | 9 | 2 | no | — |
| 159 | #428 | — | 9 | 2 | no | — |
| 160 | #427 | — | 9 | 1 | no | — |
| 161 | #427 | — | 9 | 2 | no | — |
| 162 | C2×#106 | — | 9 | 2 | no | — |
| 163 | C2×#106 | — | 9 | 1 | no | — |
| 164 | C22×C3×C4 | — | 3 | 2 | no | — |
| 165 | C22×C3×C4 | — | 6 | 2 | no | — |
| 166 | C2×#67 | — | 3 | 2 | no | — |
| 167 | C2×#67 | — | 3 | 2 | no | — |
| 168 | C22×Dic3 | — | 6 | 2 | no | — |
| 169 | #235 | — | 3 | 8 | no | — |
| 170 | #235 | — | 3 | 8 | no | — |
| 171 | C2×D12 | — | 3 | 2 | no | — |
| 172 | C2×C4×D3 | — | 2 | 2 | no | — |
| 173 | C2×C4×D3 | — | 3 | 2 | no | — |
| 174 | C2×C4×D3 | — | 6 | 1 | no | — |
| 175 | C2×C4×D3 | — | 6 | 2 | no | — |
| 176 | C2×C4×D3 | — | 6 | 2 | no | — |
| 177 | C2×C4×D3 | — | 6 | 2 | no | — |
| 178 | C2×C4×D3 | — | 12 | 2 | no | — |
| 179 | C2×C4×D3 | C22×D3 | 1 | 2 | yes | — |
| 180 | C2×Dic6 | — | 3 | 2 | no | — |
| 181 | C3×M16 | — | 3 | 8 | no | — |
| 182 | C2×C3×C8 | — | 2 | 1 | no | — |
| 183 | C2×C3×C8 | — | 3 | 2 | no | — |
| 184 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 185 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 186 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 187 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 188 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 189 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 190 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 191 | C3×C22⋊C4 | — | 6 | 2 | no | — |
| 192 | C3×C42 | — | 6 | 2 | no | — |
| 193 | #217 | — | 6 | 2 | no | — |
| 194 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 195 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 196 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 197 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 198 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 199 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 200 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 201 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 202 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 203 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 204 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 205 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 206 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 207 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 208 | Dic3⋊C4 | — | 12 | 2 | no | — |
| 209 | C4×Dic3 | — | 2 | 2 | no | — |
| 210 | C4×Dic3 | — | 6 | 2 | no | — |
| 211 | C4×Dic3 | — | 6 | 2 | no | — |
| 212 | C4×Dic3 | — | 6 | 2 | no | — |
| 213 | C4×Dic3 | — | 6 | 2 | no | — |
| 214 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 215 | C2×C3⋊C8 | — | 3 | 8 | no | — |
| 216 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 217 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 218 | ΓL(1,𝔽25) | — | 3 | 8 | no | — |
| 219 | ΓL(1,𝔽25) | C4×D3 | 1 | 8 | yes | complemented |
| 220 | D3×C8 | — | 3 | 8 | no | — |
| 221 | D3×C8 | — | 3 | 8 | no | — |
| 222 | D3×C8 | — | 6 | 4 | no | — |
| 223 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 224 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 225 | C2×C3⋊D3 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 226 | C2×C3×D3 | — | 2 | 2 | no | — |
| 227 | C2×C3×D3 | — | 2 | 2 | no | — |
| 228 | C2×C3×D3 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 229 | C32×C4 | — | 4 | 2 | no | — |
| 230 | C32×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 231 | C32×C4 | C22×Q8 | 1 | 1 | yes | characteristic |
| 232 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 233 | C3⋊Dic3 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 234 | C3×Dic3 | — | 4 | 2 | no | — |
| 235 | C3×Dic3 | — | 4 | 2 | no | — |
| 236 | C3×Dic3 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 237 | C2×#41 | — | 9 | 1 | no | — |
| 238 | #131 | — | 9 | 8 | no | — |
| 239 | C2×M16 | — | 3 | 2 | no | — |
| 240 | C2×M16 | — | 9 | 1 | no | — |
| 241 | C22×C8 | — | 9 | 2 | no | — |
| 242 | C22×C8 | — | 9 | 1 | no | — |
| 243 | C4×Q8 | — | 18 | 2 | no | — |
| 244 | C4×D4 | — | 18 | 2 | no | — |
| 245 | C4×D4 | — | 18 | 2 | no | — |
| 246 | C4×D4 | — | 18 | 2 | no | — |
| 247 | #117 | — | 3 | 2 | no | — |
| 248 | #117 | — | 9 | 2 | no | — |
| 249 | #117 | — | 9 | 2 | no | — |
| 250 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 251 | C2×C4⋊C4 | — | 9 | 2 | no | — |
| 252 | C2×C4⋊C4 | — | 9 | 2 | no | — |
| 253 | #107 | — | 3 | 2 | no | — |
| 254 | #107 | — | 3 | 2 | no | — |
| 255 | #107 | — | 9 | 2 | no | — |
| 256 | #106 | — | 3 | 2 | no | — |
| 257 | #106 | — | 9 | 1 | no | — |
| 258 | #106 | — | 9 | 1 | no | — |
| 259 | #106 | — | 9 | 2 | no | — |
| 260 | #106 | — | 9 | 1 | no | — |
| 261 | #106 | — | 9 | 2 | no | — |
| 262 | #106 | D32 | 1 | 1 | yes | characteristic |
| 263 | C23×C3 | — | 3 | 2 | no | — |
| 264 | C22×D3 | — | 3 | 2 | no | — |
| 265 | C22×D3 | — | 6 | 1 | no | — |
| 266 | C22×D3 | D3×D4 | 1 | 2 | yes | — |
| 267 | C2×C3×C4 | — | 2 | 2 | no | — |
| 268 | C2×C3×C4 | — | 2 | 2 | no | — |
| 269 | C2×C3×C4 | — | 2 | 1 | no | — |
| 270 | C2×C3×C4 | — | 3 | 2 | no | — |
| 271 | C2×C3×C4 | — | 3 | 4 | no | — |
| 272 | C2×C3×C4 | — | 3 | 4 | no | — |
| 273 | C2×C3×C4 | — | 4 | 2 | no | — |
| 274 | C2×C3×C4 | — | 6 | 2 | no | — |
| 275 | C2×C3×C4 | — | 6 | 2 | no | — |
| 276 | C2×C3×C4 | — | 24 | 2 | no | — |
| 277 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 278 | #67 | — | 3 | 8 | no | — |
| 279 | #67 | — | 3 | 8 | no | — |
| 280 | C2×Dic3 | — | 2 | 2 | no | — |
| 281 | C2×Dic3 | — | 2 | 2 | no | — |
| 282 | C2×Dic3 | — | 3 | 2 | no | — |
| 283 | C2×Dic3 | — | 6 | 1 | no | — |
| 284 | C2×Dic3 | — | 6 | 2 | no | — |
| 285 | C2×Dic3 | — | 6 | 2 | no | — |
| 286 | C2×Dic3 | — | 12 | 2 | no | — |
| 287 | C2×Dic3 | — | 24 | 2 | no | — |
| 288 | C2×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 289 | D12 | — | 3 | 8 | no | — |
| 290 | C4×D3 | — | 3 | 4 | no | — |
| 291 | C4×D3 | — | 3 | 4 | no | — |
| 292 | C4×D3 | — | 6 | 2 | no | — |
| 293 | C4×D3 | — | 6 | 2 | no | — |
| 294 | C4×D3 | — | 8 | 2 | no | — |
| 295 | C4×D3 | — | 24 | 2 | no | — |
| 296 | C4×D3 | — | 24 | 2 | no | — |
| 297 | C4×D3 | — | 24 | 2 | no | — |
| 298 | C4×D3 | — | 24 | 4 | no | — |
| 299 | C4×D3 | C2×C4×D3 | 1 | 4 | yes | — |
| 300 | C4×D3 | D3×Q8 | 1 | 4 | yes | — |
| 301 | Dic6 | — | 3 | 8 | no | — |
| 302 | C3×C8 | — | 2 | 2 | no | — |
| 303 | C3×C8 | — | 3 | 4 | no | — |
| 304 | C3×C8 | C2×C4×D3 | 1 | 4 | yes | — |
| 305 | C3⋊C8 | — | 3 | 4 | no | — |
| 306 | C3⋊C8 | — | 6 | 2 | no | — |
| 307 | C3⋊C8 | C2×C4×D3 | 1 | 4 | yes | — |
| 308 | C2×C32 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 309 | C2×C32 | #577 | 1 | 2 | yes | — |
| 310 | C3⋊D3 | — | 2 | 2 | no | — |
| 311 | C3×D3 | — | 2 | 4 | no | — |
| 312 | #41 | — | 9 | 4 | no | — |
| 313 | #41 | — | 9 | 4 | no | — |
| 314 | C2×Q8 | — | 9 | 1 | no | — |
| 315 | C2×D4 | — | 9 | 2 | no | — |
| 316 | C2×D4 | — | 9 | 1 | no | — |
| 317 | C22×C4 | — | 3 | 2 | no | — |
| 318 | C22×C4 | — | 6 | 2 | no | — |
| 319 | C22×C4 | — | 9 | 1 | no | — |
| 320 | C22×C4 | — | 18 | 2 | no | — |
| 321 | C22×C4 | — | 18 | 2 | no | — |
| 322 | M16 | — | 3 | 8 | no | — |
| 323 | M16 | — | 9 | 4 | no | — |
| 324 | C2×C8 | — | 3 | 2 | no | — |
| 325 | C2×C8 | — | 9 | 8 | no | — |
| 326 | C2×C8 | — | 9 | 1 | no | — |
| 327 | C2×C8 | — | 9 | 4 | no | — |
| 328 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 329 | C4⋊C4 | — | 3 | 2 | no | — |
| 330 | C4⋊C4 | — | 3 | 2 | no | — |
| 331 | C4⋊C4 | — | 6 | 2 | no | — |
| 332 | C4⋊C4 | — | 9 | 2 | no | — |
| 333 | C4⋊C4 | — | 18 | 2 | no | — |
| 334 | C4⋊C4 | — | 18 | 2 | no | — |
| 335 | C4⋊C4 | C2×D32 | 1 | 2 | yes | — |
| 336 | C22⋊C4 | — | 6 | 2 | no | — |
| 337 | C22⋊C4 | — | 18 | 2 | no | — |
| 338 | C22⋊C4 | — | 18 | 2 | no | — |
| 339 | C42 | — | 6 | 2 | no | — |
| 340 | C42 | — | 18 | 2 | no | — |
| 341 | C42 | — | 18 | 2 | no | — |
| 342 | C22×C3 | — | 2 | 1 | no | — |
| 343 | C22×C3 | — | 3 | 4 | no | — |
| 344 | C22×C3 | — | 6 | 2 | no | — |
| 345 | C22×C3 | — | 6 | 2 | no | — |
| 346 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 347 | C2×D3 | — | 2 | 2 | no | — |
| 348 | C2×D3 | — | 2 | 2 | no | — |
| 349 | C2×D3 | — | 3 | 4 | no | — |
| 350 | C2×D3 | — | 6 | 2 | no | — |
| 351 | C2×D3 | — | 6 | 4 | no | — |
| 352 | C2×D3 | — | 6 | 2 | no | — |
| 353 | C2×D3 | — | 6 | 2 | no | — |
| 354 | C2×D3 | D3×C4⋊C4 | 1 | 4 | yes | — |
| 355 | C3×C4 | — | 2 | 1 | no | — |
| 356 | C3×C4 | — | 2 | 1 | no | — |
| 357 | C3×C4 | — | 3 | 4 | no | — |
| 358 | C3×C4 | — | 4 | 2 | no | — |
| 359 | C3×C4 | — | 4 | 2 | no | — |
| 360 | C3×C4 | — | 8 | 2 | no | — |
| 361 | C3×C4 | — | 12 | 2 | no | — |
| 362 | C3×C4 | — | 12 | 2 | no | — |
| 363 | C3×C4 | C22×C4×D3 | 1 | 2 | yes | — |
| 364 | C3×C4 | C2×D3×Q8 | 1 | 2 | yes | — |
| 365 | Dic3 | — | 3 | 4 | no | — |
| 366 | Dic3 | — | 4 | 2 | no | — |
| 367 | Dic3 | — | 4 | 2 | no | — |
| 368 | Dic3 | — | 6 | 2 | no | — |
| 369 | Dic3 | — | 12 | 2 | no | — |
| 370 | Dic3 | — | 12 | 2 | no | — |
| 371 | Dic3 | — | 24 | 2 | no | — |
| 372 | Dic3 | D3×C4⋊C4 | 1 | 4 | yes | — |
| 373 | C32 | #2912 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 374 | C23 | — | 3 | 2 | no | — |
| 375 | C23 | — | 9 | 1 | no | — |
| 376 | Q8 | — | 9 | 4 | no | — |
| 377 | D4 | — | 9 | 8 | no | — |
| 378 | D4 | — | 9 | 4 | no | — |
| 379 | C2×C4 | — | 2 | 2 | no | — |
| 380 | C2×C4 | — | 3 | 2 | no | — |
| 381 | C2×C4 | — | 3 | 4 | no | — |
| 382 | C2×C4 | — | 3 | 4 | no | — |
| 383 | C2×C4 | — | 6 | 2 | no | — |
| 384 | C2×C4 | — | 6 | 2 | no | — |
| 385 | C2×C4 | — | 9 | 1 | no | — |
| 386 | C2×C4 | — | 9 | 2 | no | — |
| 387 | C2×C4 | — | 9 | 2 | no | — |
| 388 | C2×C4 | — | 18 | 2 | no | — |
| 389 | C2×C4 | — | 24 | 2 | no | — |
| 390 | C2×C4 | — | 72 | 2 | no | — |
| 391 | C2×C4 | — | 72 | 2 | no | — |
| 392 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 393 | C8 | — | 3 | 4 | no | — |
| 394 | C8 | — | 9 | 2 | no | — |
| 395 | C8 | C4×D32 | 1 | 2 | yes | — |
| 396 | C2×C3 | — | 2 | 1 | no | — |
| 397 | C2×C3 | — | 2 | 2 | no | — |
| 398 | C2×C3 | — | 6 | 4 | no | — |
| 399 | C2×C3 | C2×D3×C4⋊C4 | 1 | 2 | yes | — |
| 400 | C2×C3 | #5775 | 1 | 2 | yes | — |
| 401 | C2×C3 | #5778 | 1 | 2 | yes | — |
| 402 | D3 | — | 2 | 4 | no | — |
| 403 | D3 | — | 6 | 4 | no | — |
| 404 | D3 | — | 6 | 4 | no | — |
| 405 | C22 | — | 3 | 4 | no | — |
| 406 | C22 | — | 6 | 2 | no | — |
| 407 | C22 | — | 6 | 2 | no | — |
| 408 | C22 | — | 9 | 2 | no | — |
| 409 | C22 | — | 18 | 2 | no | — |
| 410 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 411 | C4 | — | 3 | 4 | no | — |
| 412 | C4 | — | 4 | 2 | no | — |
| 413 | C4 | — | 9 | 2 | no | — |
| 414 | C4 | — | 12 | 2 | no | — |
| 415 | C4 | — | 12 | 2 | no | — |
| 416 | C4 | — | 36 | 2 | no | — |
| 417 | C4 | C2×C4×D32 | 1 | 1 | yes | characteristic |
| 418 | C4 | D32×Q8 | 1 | 1 | yes | characteristic |
| 419 | C3 | — | 2 | 1 | no | — |
| 420 | C3 | #79209 | 1 | 2 | yes | complemented |
| 421 | C2 | — | 6 | 4 | no | — |
| 422 | C2 | — | 18 | 2 | no | — |
| 423 | C2 | D32×C4⋊C4 | 1 | 1 | yes | characteristic |
| 424 | C2 | #10594754 | 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