← #11860586
Subgroups — #11860586
Order 1152.
705 conjugacy classes of subgroups.
The subgroup lattice has 393 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10589929 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#63511 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10589618 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C9×#416 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C2×#63376 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10588782 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10588679 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10588470 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10588469 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10588438 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10588437 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #78821 | — | 3 | 1 | no | maximal |
| 13 | C2×C9×#41 | C22 | 1 | 1 | yes | characteristic |
| 14 | C22×Dic18 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×C8×C9 | C22 | 1 | 1 | yes | characteristic |
| 16 | C9×#117 | C22 | 1 | 1 | yes | characteristic |
| 17 | #63511 | C4 | 1 | 8 | yes | complemented |
| 18 | Q8×Dic9 | C22 | 1 | 2 | yes | — |
| 19 | C2×#3674 | C22 | 1 | 2 | yes | — |
| 20 | D4×Dic9 | — | 2 | 2 | no | — |
| 21 | D4×Dic9 | C22 | 1 | 2 | yes | — |
| 22 | C2×#3672 | C22 | 1 | 2 | yes | — |
| 23 | #63488 | — | 2 | 1 | no | — |
| 24 | #63488 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C4⋊Dic9 | — | 2 | 1 | no | — |
| 26 | C2×C4⋊Dic9 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#3667 | C22 | 1 | 1 | yes | characteristic |
| 28 | #63449 | C22 | 1 | 2 | yes | — |
| 29 | #63449 | C22 | 1 | 2 | yes | — |
| 30 | #63439 | — | 2 | 2 | no | — |
| 31 | C4×Dic18 | — | 2 | 1 | no | — |
| 32 | C4×Dic18 | — | 2 | 1 | no | — |
| 33 | C9×#103 | C22 | 1 | 1 | yes | characteristic |
| 34 | C9×#103 | C22 | 1 | 1 | yes | characteristic |
| 35 | C9×#102 | C22 | 1 | 1 | yes | characteristic |
| 36 | C9×#102 | C22 | 1 | 1 | yes | characteristic |
| 37 | #63376 | C22 | 1 | 2 | yes | — |
| 38 | #63376 | C22 | 1 | 2 | yes | — |
| 39 | #63375 | C22 | 1 | 2 | yes | — |
| 40 | C8×Dic9 | C22 | 1 | 2 | yes | — |
| 41 | #63367 | C22 | 1 | 2 | yes | — |
| 42 | #63366 | C22 | 1 | 2 | yes | — |
| 43 | #5827 | — | 3 | 1 | no | — |
| 44 | C2×#951 | — | 3 | 1 | no | — |
| 45 | #5516 | — | 3 | 1 | no | — |
| 46 | C3×#416 | D3 | 1 | 1 | yes | characteristic |
| 47 | C2×#816 | — | 3 | 1 | no | — |
| 48 | #5101 | — | 3 | 1 | no | — |
| 49 | #4995 | — | 3 | 1 | no | — |
| 50 | #4790 | — | 3 | 2 | no | — |
| 51 | #4789 | — | 3 | 2 | no | — |
| 52 | #4758 | — | 3 | 2 | no | — |
| 53 | #4757 | — | 3 | 2 | no | — |
| 54 | C9×#41 | — | 2 | 2 | no | — |
| 55 | C9×#41 | C2×C4 | 1 | 4 | yes | — |
| 56 | C2×Q8×C9 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×D4×C9 | — | 2 | 1 | no | — |
| 58 | C2×D4×C9 | C23 | 1 | 1 | yes | characteristic |
| 59 | C22×C4×C9 | — | 2 | 1 | no | — |
| 60 | C22×C4×C9 | C23 | 1 | 1 | yes | characteristic |
| 61 | C22×Dic9 | — | 2 | 1 | no | — |
| 62 | C22×Dic9 | — | 2 | 1 | no | — |
| 63 | C22×Dic9 | — | 2 | 2 | no | — |
| 64 | C2×Dic18 | — | 2 | 1 | no | — |
| 65 | C2×Dic18 | — | 2 | 2 | no | — |
| 66 | C2×Dic18 | C2×C4 | 1 | 4 | yes | complemented |
| 67 | C2×Dic18 | C23 | 1 | 2 | yes | — |
| 68 | C2×C8×C9 | — | 2 | 2 | no | — |
| 69 | C2×C8×C9 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×C8×C9 | C23 | 1 | 1 | yes | characteristic |
| 71 | C9×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 72 | C9×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 73 | C9×C22⋊C4 | — | 2 | 1 | no | — |
| 74 | C42×C9 | — | 2 | 1 | no | — |
| 75 | #3676 | — | 2 | 2 | no | — |
| 76 | #3676 | D4 | 1 | 2 | yes | — |
| 77 | #3674 | C2×C4 | 1 | 8 | yes | complemented |
| 78 | #3672 | C2×C4 | 1 | 8 | yes | complemented |
| 79 | C4⋊Dic9 | — | 2 | 1 | no | — |
| 80 | C4⋊Dic9 | — | 2 | 2 | no | — |
| 81 | C4⋊Dic9 | D4 | 1 | 1 | yes | characteristic |
| 82 | C4⋊Dic9 | D4 | 1 | 1 | yes | characteristic |
| 83 | C4⋊Dic9 | C23 | 1 | 2 | yes | — |
| 84 | Dic9⋊C4 | — | 2 | 2 | no | — |
| 85 | Dic9⋊C4 | — | 2 | 2 | no | — |
| 86 | C4×Dic9 | — | 2 | 2 | no | — |
| 87 | C4×Dic9 | — | 2 | 2 | no | — |
| 88 | C4×Dic9 | — | 2 | 2 | no | — |
| 89 | C4×Dic9 | C23 | 1 | 2 | yes | — |
| 90 | #3667 | C2×C4 | 1 | 4 | yes | complemented |
| 91 | C2×C9⋊C8 | C23 | 1 | 2 | yes | — |
| 92 | #2947 | — | 9 | 1 | no | Sylow |
| 93 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 94 | C22×Dic6 | — | 3 | 1 | no | — |
| 95 | C22×C3×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 96 | C3×#117 | C2×D3 | 1 | 1 | yes | characteristic |
| 97 | #951 | — | 3 | 8 | no | — |
| 98 | Q8×Dic3 | — | 3 | 2 | no | — |
| 99 | C2×#216 | — | 3 | 2 | no | — |
| 100 | D4×Dic3 | — | 3 | 2 | no | — |
| 101 | D4×Dic3 | — | 6 | 2 | no | — |
| 102 | C2×#214 | — | 3 | 2 | no | — |
| 103 | #926 | — | 3 | 1 | no | — |
| 104 | #926 | — | 6 | 1 | no | — |
| 105 | C2×C4⋊Dic3 | — | 3 | 1 | no | — |
| 106 | C2×C4⋊Dic3 | — | 6 | 1 | no | — |
| 107 | C2×#208 | — | 3 | 1 | no | — |
| 108 | #887 | — | 3 | 2 | no | — |
| 109 | #887 | — | 3 | 2 | no | — |
| 110 | #877 | — | 6 | 2 | no | — |
| 111 | C4×Dic6 | — | 6 | 1 | no | — |
| 112 | C4×Dic6 | — | 6 | 1 | no | — |
| 113 | C3×#103 | C2×D3 | 1 | 1 | yes | characteristic |
| 114 | C3×#103 | C2×D3 | 1 | 1 | yes | characteristic |
| 115 | C3×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 116 | C3×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 117 | #816 | — | 3 | 2 | no | — |
| 118 | #816 | — | 3 | 2 | no | — |
| 119 | #815 | — | 3 | 2 | no | — |
| 120 | C8×Dic3 | — | 3 | 2 | no | — |
| 121 | #808 | — | 3 | 2 | no | — |
| 122 | #807 | — | 3 | 2 | no | — |
| 123 | C23×C9 | — | 2 | 1 | no | — |
| 124 | C23×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | Q8×C9 | — | 2 | 1 | no | — |
| 126 | Q8×C9 | C22×C4 | 1 | 2 | yes | — |
| 127 | D4×C9 | — | 2 | 4 | no | — |
| 128 | D4×C9 | — | 2 | 1 | no | — |
| 129 | D4×C9 | C22×C4 | 1 | 2 | yes | — |
| 130 | C2×C4×C9 | — | 2 | 1 | no | — |
| 131 | C2×C4×C9 | — | 2 | 4 | no | — |
| 132 | C2×C4×C9 | — | 2 | 1 | no | — |
| 133 | C2×C4×C9 | — | 2 | 1 | no | — |
| 134 | C2×C4×C9 | C22×C4 | 1 | 2 | yes | — |
| 135 | C2×C4×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C2×C4×C9 | #41 | 1 | 2 | yes | — |
| 137 | C2×C4×C9 | C24 | 1 | 1 | yes | characteristic |
| 138 | C2×Dic9 | — | 2 | 4 | no | — |
| 139 | C2×Dic9 | — | 2 | 2 | no | — |
| 140 | C2×Dic9 | — | 2 | 2 | no | — |
| 141 | C2×Dic9 | — | 8 | 2 | no | — |
| 142 | C2×Dic9 | — | 8 | 1 | no | — |
| 143 | C2×Dic9 | C2×D4 | 1 | 2 | yes | — |
| 144 | C2×Dic9 | C2×D4 | 1 | 2 | yes | — |
| 145 | Dic18 | — | 2 | 4 | no | — |
| 146 | Dic18 | — | 2 | 2 | no | — |
| 147 | Dic18 | C22×C4 | 1 | 4 | yes | — |
| 148 | C8×C9 | — | 2 | 1 | no | — |
| 149 | C8×C9 | — | 2 | 1 | no | — |
| 150 | C9⋊C8 | C22×C4 | 1 | 4 | yes | — |
| 151 | C2×#137 | — | 9 | 1 | no | — |
| 152 | #520 | — | 9 | 1 | no | — |
| 153 | #519 | — | 9 | 1 | no | — |
| 154 | #441 | — | 9 | 2 | no | — |
| 155 | #440 | — | 9 | 2 | no | — |
| 156 | C4×Q16 | — | 9 | 2 | no | — |
| 157 | C4×SD16 | — | 9 | 2 | no | — |
| 158 | #428 | — | 9 | 1 | no | — |
| 159 | #416 | D9 | 1 | 1 | yes | characteristic |
| 160 | C2×#103 | — | 9 | 1 | no | — |
| 161 | #405 | — | 9 | 1 | no | — |
| 162 | C3×#41 | — | 2 | 2 | no | — |
| 163 | C3×#41 | C4×D3 | 1 | 4 | yes | — |
| 164 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 165 | C2×C3×D4 | — | 2 | 1 | no | — |
| 166 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 167 | C22×C3×C4 | — | 2 | 1 | no | — |
| 168 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 169 | C22×Dic3 | — | 6 | 2 | no | — |
| 170 | C22×Dic3 | — | 6 | 1 | no | — |
| 171 | C22×Dic3 | — | 6 | 1 | no | — |
| 172 | C2×Dic6 | — | 3 | 4 | no | — |
| 173 | C2×Dic6 | — | 3 | 2 | no | — |
| 174 | C2×Dic6 | — | 6 | 1 | no | — |
| 175 | C2×Dic6 | — | 6 | 2 | no | — |
| 176 | C2×C3×C8 | — | 2 | 2 | no | — |
| 177 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 178 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 179 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 180 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 181 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 182 | C3×C42 | — | 2 | 1 | no | — |
| 183 | #217 | — | 3 | 2 | no | — |
| 184 | #217 | — | 6 | 2 | no | — |
| 185 | #216 | — | 3 | 8 | no | — |
| 186 | #214 | — | 3 | 8 | no | — |
| 187 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 188 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 189 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 190 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 191 | C4⋊Dic3 | — | 6 | 1 | no | — |
| 192 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 193 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 194 | C4×Dic3 | — | 3 | 2 | no | — |
| 195 | C4×Dic3 | — | 6 | 2 | no | — |
| 196 | C4×Dic3 | — | 6 | 2 | no | — |
| 197 | C4×Dic3 | — | 6 | 2 | no | — |
| 198 | #208 | — | 3 | 4 | no | — |
| 199 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 200 | C22×C9 | — | 2 | 1 | no | — |
| 201 | C22×C9 | — | 2 | 1 | no | — |
| 202 | C22×C9 | — | 2 | 2 | no | — |
| 203 | C22×C9 | — | 4 | 1 | no | — |
| 204 | C22×C9 | — | 4 | 1 | no | — |
| 205 | C22×C9 | C4×D4 | 1 | 2 | yes | — |
| 206 | C22×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 207 | C4×C9 | — | 2 | 2 | no | — |
| 208 | C4×C9 | — | 4 | 1 | no | — |
| 209 | C4×C9 | — | 4 | 1 | no | — |
| 210 | C4×C9 | C4×D4 | 1 | 2 | yes | — |
| 211 | C4×C9 | C23×C4 | 1 | 1 | yes | characteristic |
| 212 | C4×C9 | C2×#41 | 1 | 1 | yes | characteristic |
| 213 | Dic9 | — | 2 | 4 | no | — |
| 214 | Dic9 | — | 2 | 2 | no | — |
| 215 | Dic9 | — | 2 | 2 | no | — |
| 216 | Dic9 | — | 4 | 2 | no | — |
| 217 | C2×#41 | C2×D9 | 1 | 1 | yes | characteristic |
| 218 | C22×Q8 | — | 9 | 1 | no | — |
| 219 | #137 | — | 9 | 8 | no | — |
| 220 | C2×Q16 | — | 9 | 2 | no | — |
| 221 | C2×SD16 | — | 9 | 2 | no | — |
| 222 | C2×M16 | — | 9 | 1 | no | — |
| 223 | C22×C8 | C2×D9 | 1 | 1 | yes | characteristic |
| 224 | C4×Q8 | — | 9 | 2 | no | — |
| 225 | C4×Q8 | — | 9 | 2 | no | — |
| 226 | C4×Q8 | — | 9 | 2 | no | — |
| 227 | C4×Q8 | — | 18 | 1 | no | — |
| 228 | C4×Q8 | — | 18 | 1 | no | — |
| 229 | C4×D4 | — | 9 | 2 | no | — |
| 230 | C4×D4 | — | 18 | 2 | no | — |
| 231 | #117 | — | 9 | 1 | no | — |
| 232 | #117 | — | 18 | 2 | no | — |
| 233 | #117 | — | 18 | 1 | no | — |
| 234 | #117 | C2×D9 | 1 | 1 | yes | characteristic |
| 235 | C2×C4⋊C4 | — | 9 | 1 | no | — |
| 236 | C2×C4⋊C4 | — | 18 | 1 | no | — |
| 237 | #107 | — | 9 | 2 | no | — |
| 238 | #106 | — | 9 | 2 | no | — |
| 239 | #103 | — | 9 | 2 | no | — |
| 240 | #103 | — | 9 | 2 | no | — |
| 241 | #103 | C2×D9 | 1 | 1 | yes | characteristic |
| 242 | #103 | C2×D9 | 1 | 1 | yes | characteristic |
| 243 | #102 | C2×D9 | 1 | 1 | yes | characteristic |
| 244 | #102 | C2×D9 | 1 | 1 | yes | characteristic |
| 245 | #97 | — | 9 | 2 | no | — |
| 246 | C4×C8 | — | 9 | 2 | no | — |
| 247 | C23×C3 | — | 2 | 1 | no | — |
| 248 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 249 | C3×Q8 | — | 2 | 1 | no | — |
| 250 | C3×Q8 | C2×C4×D3 | 1 | 2 | yes | — |
| 251 | C3×D4 | — | 2 | 4 | no | — |
| 252 | C3×D4 | — | 2 | 1 | no | — |
| 253 | C3×D4 | C2×C4×D3 | 1 | 2 | yes | — |
| 254 | C2×C3×C4 | — | 2 | 1 | no | — |
| 255 | C2×C3×C4 | — | 2 | 4 | no | — |
| 256 | C2×C3×C4 | — | 2 | 1 | no | — |
| 257 | C2×C3×C4 | — | 2 | 1 | no | — |
| 258 | C2×C3×C4 | C2×C4×D3 | 1 | 2 | yes | — |
| 259 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 260 | C2×C3×C4 | #237 | 1 | 2 | yes | — |
| 261 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 262 | C2×Dic3 | — | 3 | 2 | no | — |
| 263 | C2×Dic3 | — | 3 | 2 | no | — |
| 264 | C2×Dic3 | — | 6 | 4 | no | — |
| 265 | C2×Dic3 | — | 6 | 2 | no | — |
| 266 | C2×Dic3 | — | 6 | 2 | no | — |
| 267 | C2×Dic3 | — | 24 | 2 | no | — |
| 268 | C2×Dic3 | — | 24 | 1 | no | — |
| 269 | Dic6 | — | 3 | 4 | no | — |
| 270 | Dic6 | — | 6 | 4 | no | — |
| 271 | Dic6 | — | 6 | 2 | no | — |
| 272 | C3×C8 | — | 2 | 1 | no | — |
| 273 | C3×C8 | — | 2 | 1 | no | — |
| 274 | C3⋊C8 | — | 3 | 4 | no | — |
| 275 | C2×C9 | — | 2 | 2 | no | — |
| 276 | C2×C9 | — | 4 | 2 | no | — |
| 277 | C2×C9 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 278 | C2×C9 | #577 | 1 | 1 | yes | characteristic |
| 279 | C2×C9 | #578 | 1 | 1 | yes | characteristic |
| 280 | #41 | — | 2 | 2 | no | — |
| 281 | #41 | C4×D9 | 1 | 4 | yes | — |
| 282 | C2×Q8 | — | 9 | 4 | no | — |
| 283 | C2×Q8 | — | 9 | 2 | no | — |
| 284 | C2×Q8 | — | 18 | 1 | no | — |
| 285 | C2×Q8 | — | 18 | 2 | no | — |
| 286 | C2×Q8 | C22×D9 | 1 | 1 | yes | characteristic |
| 287 | C2×D4 | — | 2 | 1 | no | — |
| 288 | C2×D4 | C22×D9 | 1 | 1 | yes | characteristic |
| 289 | C22×C4 | — | 2 | 1 | no | — |
| 290 | C22×C4 | — | 18 | 2 | no | — |
| 291 | C22×C4 | — | 18 | 1 | no | — |
| 292 | C22×C4 | — | 18 | 1 | no | — |
| 293 | C22×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 294 | Q16 | — | 9 | 8 | no | — |
| 295 | SD16 | — | 9 | 8 | no | — |
| 296 | M16 | — | 9 | 4 | no | — |
| 297 | C2×C8 | — | 2 | 2 | no | — |
| 298 | C2×C8 | — | 9 | 2 | no | — |
| 299 | C2×C8 | C22×D9 | 1 | 1 | yes | characteristic |
| 300 | C2×C8 | C22×D9 | 1 | 1 | yes | characteristic |
| 301 | C4⋊C4 | — | 9 | 1 | no | — |
| 302 | C4⋊C4 | — | 9 | 1 | no | — |
| 303 | C4⋊C4 | — | 9 | 2 | no | — |
| 304 | C4⋊C4 | — | 18 | 2 | no | — |
| 305 | C4⋊C4 | — | 18 | 2 | no | — |
| 306 | C4⋊C4 | — | 18 | 2 | no | — |
| 307 | C4⋊C4 | — | 18 | 1 | no | — |
| 308 | C4⋊C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 309 | C4⋊C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 310 | C22⋊C4 | — | 2 | 1 | no | — |
| 311 | C22⋊C4 | — | 9 | 2 | no | — |
| 312 | C22⋊C4 | — | 18 | 2 | no | — |
| 313 | C42 | — | 2 | 1 | no | — |
| 314 | C42 | — | 9 | 2 | no | — |
| 315 | C42 | — | 18 | 2 | no | — |
| 316 | C42 | — | 18 | 2 | no | — |
| 317 | C42 | — | 18 | 2 | no | — |
| 318 | C22×C3 | — | 2 | 1 | no | — |
| 319 | C22×C3 | — | 2 | 1 | no | — |
| 320 | C22×C3 | — | 2 | 2 | no | — |
| 321 | C22×C3 | — | 4 | 1 | no | — |
| 322 | C22×C3 | — | 4 | 1 | no | — |
| 323 | C22×C3 | #67⋊C4 | 1 | 2 | yes | — |
| 324 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 325 | C3×C4 | — | 2 | 2 | no | — |
| 326 | C3×C4 | — | 4 | 1 | no | — |
| 327 | C3×C4 | — | 4 | 1 | no | — |
| 328 | C3×C4 | #67⋊C4 | 1 | 2 | yes | — |
| 329 | C3×C4 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 330 | C3×C4 | C2×#237 | 1 | 1 | yes | characteristic |
| 331 | Dic3 | — | 6 | 4 | no | — |
| 332 | Dic3 | — | 6 | 2 | no | — |
| 333 | Dic3 | — | 6 | 2 | no | — |
| 334 | Dic3 | — | 12 | 2 | no | — |
| 335 | C9 | #2947 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 336 | C23 | — | 2 | 1 | no | — |
| 337 | C23 | D4×D9 | 1 | 1 | yes | characteristic |
| 338 | Q8 | — | 2 | 1 | no | — |
| 339 | Q8 | — | 9 | 4 | no | — |
| 340 | Q8 | — | 18 | 4 | no | — |
| 341 | Q8 | — | 18 | 2 | no | — |
| 342 | Q8 | C2×C4×D9 | 1 | 2 | yes | — |
| 343 | D4 | — | 2 | 4 | no | — |
| 344 | D4 | — | 2 | 1 | no | — |
| 345 | D4 | C2×C4×D9 | 1 | 2 | yes | — |
| 346 | C2×C4 | — | 2 | 1 | no | — |
| 347 | C2×C4 | — | 2 | 4 | no | — |
| 348 | C2×C4 | — | 2 | 1 | no | — |
| 349 | C2×C4 | — | 2 | 1 | no | — |
| 350 | C2×C4 | — | 9 | 2 | no | — |
| 351 | C2×C4 | — | 9 | 2 | no | — |
| 352 | C2×C4 | — | 18 | 4 | no | — |
| 353 | C2×C4 | — | 18 | 2 | no | — |
| 354 | C2×C4 | — | 18 | 2 | no | — |
| 355 | C2×C4 | — | 72 | 2 | no | — |
| 356 | C2×C4 | — | 72 | 1 | no | — |
| 357 | C2×C4 | C2×C4×D9 | 1 | 2 | yes | — |
| 358 | C2×C4 | D4×D9 | 1 | 1 | yes | characteristic |
| 359 | C2×C4 | #3699 | 1 | 2 | yes | — |
| 360 | C2×C4 | C23×D9 | 1 | 1 | yes | characteristic |
| 361 | C8 | — | 2 | 1 | no | — |
| 362 | C8 | — | 2 | 1 | no | — |
| 363 | C8 | — | 9 | 4 | no | — |
| 364 | C2×C3 | — | 2 | 2 | no | — |
| 365 | C2×C3 | — | 4 | 2 | no | — |
| 366 | C2×C3 | C2×#67⋊C4 | 1 | 1 | yes | characteristic |
| 367 | C2×C3 | #5770 | 1 | 1 | yes | characteristic |
| 368 | C2×C3 | #5771 | 1 | 1 | yes | characteristic |
| 369 | C22 | — | 2 | 1 | no | — |
| 370 | C22 | — | 2 | 1 | no | — |
| 371 | C22 | — | 2 | 2 | no | — |
| 372 | C22 | — | 4 | 1 | no | — |
| 373 | C22 | — | 4 | 1 | no | — |
| 374 | C22 | #611⋊C4 | 1 | 2 | yes | — |
| 375 | C22 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 376 | C4 | — | 2 | 2 | no | — |
| 377 | C4 | — | 4 | 1 | no | — |
| 378 | C4 | — | 4 | 1 | no | — |
| 379 | C4 | — | 18 | 4 | no | — |
| 380 | C4 | — | 18 | 2 | no | — |
| 381 | C4 | — | 18 | 2 | no | — |
| 382 | C4 | — | 36 | 2 | no | — |
| 383 | C4 | #611⋊C4 | 1 | 2 | yes | — |
| 384 | C4 | C22×C4×D9 | 1 | 1 | yes | characteristic |
| 385 | C4 | C2×#3699 | 1 | 1 | yes | characteristic |
| 386 | C3 | #78821 | 1 | 1 | yes | characteristic |
| 387 | C2 | — | 2 | 2 | no | — |
| 388 | C2 | — | 4 | 2 | no | — |
| 389 | C2 | C2×#611⋊C4 | 1 | 1 | yes | characteristic |
| 390 | C2 | #10589872 | 1 | 1 | yes | characteristic |
| 391 | C2 | #10589873 | 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