Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1398 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 1398 conjugacy classes of subgroups — too many to draw. Only its 136 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #41×C22⋊C9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | Q8×(C22⋊C9)⋊C2 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10593089 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | #10593087 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | C2×(C22⋊C9)⋊Q8 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #87264 | — | 3 | 1 | no | maximal |
| 7 | #63716 | — | 4 | 1 | no | maximal |
| 8 | Q8×C22⋊C9 | C22 | 1 | 1 | yes | characteristic |
| 9 | D4×C22⋊C9 | C22 | 1 | 3 | yes | — |
| 10 | C2×C4×C22⋊C9 | C22 | 1 | 3 | yes | — |
| 11 | #63694 | C22 | 1 | 6 | yes | — |
| 12 | C2×(C22⋊C9)⋊C4 | C22 | 1 | 6 | yes | — |
| 13 | C4⋊((C22⋊C9)⋊C2) | C22 | 1 | 1 | yes | characteristic |
| 14 | C4×(C22⋊C9)⋊C2 | C22 | 1 | 6 | yes | — |
| 15 | (C22⋊C9)⋊Q8 | C22 | 1 | 3 | yes | — |
| 16 | (C22⋊C9)⋊Q8 | C22 | 1 | 6 | yes | — |
| 17 | C22×C3×#41 | D3 | 1 | 1 | yes | characteristic |
| 18 | C2×#1010 | — | 3 | 1 | no | — |
| 19 | #5833 | — | 3 | 3 | no | — |
| 20 | #5831 | — | 3 | 2 | no | — |
| 21 | #5827 | — | 3 | 1 | no | — |
| 22 | #5825 | — | 3 | 3 | no | — |
| 23 | #5824 | — | 3 | 6 | no | — |
| 24 | Q8×#67 | — | 3 | 2 | no | — |
| 25 | #5806 | — | 3 | 6 | no | — |
| 26 | #5791 | — | 3 | 3 | no | — |
| 27 | C2×#924 | — | 3 | 3 | no | — |
| 28 | C22×C22⋊C9 | C23 | 1 | 3 | yes | — |
| 29 | C2×(C22⋊C9)⋊C2 | C23 | 1 | 2 | yes | — |
| 30 | C9×#41 | — | 4 | 1 | no | — |
| 31 | Q8×D9 | — | 4 | 2 | no | — |
| 32 | #3699 | — | 4 | 6 | no | — |
| 33 | #3697 | — | 4 | 3 | no | — |
| 34 | C2×Dic18 | — | 4 | 3 | no | — |
| 35 | C4×C22⋊C9 | C23 | 1 | 1 | yes | characteristic |
| 36 | C4×C22⋊C9 | C23 | 1 | 3 | yes | — |
| 37 | (C22⋊C9)⋊C4 | C23 | 1 | 6 | yes | — |
| 38 | #3489 | — | 9 | 1 | no | Sylow |
| 39 | C2×C3×#41 | — | 3 | 1 | no | — |
| 40 | C2×C3×#41 | — | 3 | 3 | no | — |
| 41 | C2×C3×#41 | — | 3 | 3 | no | — |
| 42 | C2×C3×#41 | — | 3 | 1 | no | — |
| 43 | C22×C3×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 44 | C22×C3×D4 | C2×D3 | 1 | 3 | yes | — |
| 45 | C23×C3×C4 | C2×D3 | 1 | 3 | yes | — |
| 46 | #1010 | — | 6 | 1 | no | — |
| 47 | #1010 | — | 6 | 3 | no | — |
| 48 | #1010 | — | 6 | 3 | no | — |
| 49 | #1010 | — | 6 | 1 | no | — |
| 50 | C2×D3×Q8 | — | 3 | 2 | no | — |
| 51 | C2×#237 | — | 3 | 6 | no | — |
| 52 | C2×#235 | — | 3 | 3 | no | — |
| 53 | C22×Dic6 | — | 3 | 3 | no | — |
| 54 | #953 | — | 3 | 6 | no | — |
| 55 | C2×#217 | — | 3 | 6 | no | — |
| 56 | #946 | — | 3 | 6 | no | — |
| 57 | Q8×Dic3 | — | 3 | 2 | no | — |
| 58 | #944 | — | 3 | 6 | no | — |
| 59 | #939 | — | 3 | 12 | no | — |
| 60 | #938 | — | 3 | 6 | no | — |
| 61 | #936 | — | 3 | 6 | no | — |
| 62 | #935 | — | 3 | 12 | no | — |
| 63 | D4×Dic3 | — | 3 | 6 | no | — |
| 64 | #930 | — | 3 | 3 | no | — |
| 65 | #930 | — | 3 | 1 | no | — |
| 66 | #929 | — | 3 | 6 | no | — |
| 67 | C4×#67 | — | 3 | 6 | no | — |
| 68 | C4×#67 | — | 3 | 6 | no | — |
| 69 | #926 | — | 3 | 3 | no | — |
| 70 | C2×C4⋊Dic3 | — | 3 | 3 | no | — |
| 71 | #924 | — | 3 | 6 | no | — |
| 72 | #924 | — | 3 | 6 | no | — |
| 73 | #924 | — | 3 | 3 | no | — |
| 74 | #924 | — | 3 | 3 | no | — |
| 75 | #924 | — | 3 | 6 | no | — |
| 76 | C2×Dic3⋊C4 | — | 3 | 6 | no | — |
| 77 | C2×C22⋊C9 | — | 2 | 3 | no | — |
| 78 | C2×C22⋊C9 | C24 | 1 | 1 | yes | characteristic |
| 79 | (C22⋊C9)⋊C2 | — | 2 | 2 | no | — |
| 80 | Q8×C9 | — | 4 | 1 | no | — |
| 81 | D4×C9 | — | 4 | 3 | no | — |
| 82 | C2×C4×C9 | — | 4 | 3 | no | — |
| 83 | #611 | — | 4 | 6 | no | — |
| 84 | C2×Dic9 | — | 4 | 6 | no | — |
| 85 | D36 | — | 4 | 1 | no | — |
| 86 | C4×D9 | — | 4 | 6 | no | — |
| 87 | Dic18 | — | 4 | 3 | no | — |
| 88 | Dic18 | — | 4 | 6 | no | — |
| 89 | C2×2−1+4 | — | 9 | 1 | no | — |
| 90 | C22×#41 | D9 | 1 | 1 | yes | characteristic, complemented |
| 91 | D4×Q8 | — | 9 | 2 | no | — |
| 92 | #548 | — | 9 | 2 | no | — |
| 93 | #547 | — | 9 | 6 | no | — |
| 94 | #546 | — | 9 | 6 | no | — |
| 95 | #537 | — | 9 | 3 | no | — |
| 96 | #536 | — | 9 | 3 | no | — |
| 97 | #525 | — | 9 | 3 | no | — |
| 98 | C2×C22⋊Q8 | — | 9 | 3 | no | — |
| 99 | #520 | — | 9 | 1 | no | — |
| 100 | C24×C3 | C22×D3 | 1 | 3 | yes | — |
| 101 | C3×#41 | — | 3 | 1 | no | — |
| 102 | C3×#41 | — | 3 | 3 | no | — |
| 103 | C3×#41 | — | 3 | 3 | no | — |
| 104 | C3×#41 | — | 6 | 1 | no | — |
| 105 | C3×#41 | — | 6 | 3 | no | — |
| 106 | C3×#41 | — | 6 | 3 | no | — |
| 107 | C3×#41 | S4 | 1 | 1 | yes | characteristic |
| 108 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 109 | C2×C3×Q8 | — | 3 | 3 | no | — |
| 110 | C2×C3×D4 | — | 3 | 3 | no | — |
| 111 | C2×C3×D4 | — | 3 | 6 | no | — |
| 112 | C2×C3×D4 | — | 3 | 3 | no | — |
| 113 | C22×C3×C4 | — | 3 | 3 | no | — |
| 114 | C22×C3×C4 | — | 3 | 3 | no | — |
| 115 | C22×C3×C4 | — | 3 | 3 | no | — |
| 116 | C22×C3×C4 | — | 3 | 3 | no | — |
| 117 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 118 | C22×C3×C4 | C22×D3 | 1 | 3 | yes | — |
| 119 | C2×#67 | — | 3 | 6 | no | — |
| 120 | C2×#67 | — | 3 | 2 | no | — |
| 121 | C2×#67 | — | 3 | 6 | no | — |
| 122 | C22×Dic3 | — | 3 | 6 | no | — |
| 123 | C22×Dic3 | — | 3 | 6 | no | — |
| 124 | D3×Q8 | — | 6 | 6 | no | — |
| 125 | D3×Q8 | — | 6 | 2 | no | — |
| 126 | #237 | — | 6 | 12 | no | — |
| 127 | #237 | — | 6 | 6 | no | — |
| 128 | #237 | — | 6 | 6 | no | — |
| 129 | #235 | — | 6 | 3 | no | — |
| 130 | #235 | — | 6 | 3 | no | — |
| 131 | #235 | — | 6 | 3 | no | — |
| 132 | #235 | — | 6 | 3 | no | — |
| 133 | C2×D12 | — | 3 | 1 | no | — |
| 134 | C2×C4×D3 | — | 3 | 6 | no | — |
| 135 | C2×Dic6 | — | 3 | 3 | no | — |
| 136 | C2×Dic6 | — | 3 | 6 | no | — |
| 137 | C2×Dic6 | — | 6 | 3 | no | — |
| 138 | C2×Dic6 | — | 6 | 3 | no | — |
| 139 | C2×Dic6 | — | 6 | 3 | no | — |
| 140 | C2×Dic6 | — | 6 | 3 | no | — |
| 141 | #217 | — | 3 | 12 | no | — |
| 142 | #217 | — | 3 | 6 | no | — |
| 143 | #217 | — | 3 | 6 | no | — |
| 144 | #217 | — | 3 | 6 | no | — |
| 145 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 146 | (C2×D3)⋊C4 | — | 3 | 6 | no | — |
| 147 | C4⋊Dic3 | — | 3 | 3 | no | — |
| 148 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 149 | C4⋊Dic3 | — | 3 | 6 | no | — |
| 150 | Dic3⋊C4 | — | 3 | 6 | no | — |
| 151 | Dic3⋊C4 | — | 3 | 12 | no | — |
| 152 | Dic3⋊C4 | — | 3 | 6 | no | — |
| 153 | C4×Dic3 | — | 3 | 6 | no | — |
| 154 | C22×C9 | — | 4 | 3 | no | — |
| 155 | C2×D9 | — | 4 | 2 | no | — |
| 156 | C22⋊C9 | 2−1+4 | 1 | 1 | yes | characteristic, complemented |
| 157 | C4×C9 | — | 4 | 1 | no | — |
| 158 | C4×C9 | — | 4 | 3 | no | — |
| 159 | Dic9 | — | 4 | 6 | no | — |
| 160 | 2−1+4 | — | 18 | 3 | no | — |
| 161 | 2−1+4 | — | 18 | 1 | no | — |
| 162 | 2−1+4 | — | 18 | 3 | no | — |
| 163 | 2−1+4 | — | 18 | 1 | no | — |
| 164 | C2×#41 | — | 3 | 1 | no | — |
| 165 | C2×#41 | — | 3 | 3 | no | — |
| 166 | C2×#41 | — | 3 | 3 | no | — |
| 167 | C2×#41 | — | 3 | 1 | no | — |
| 168 | C2×#41 | — | 9 | 3 | no | — |
| 169 | C2×#41 | — | 9 | 6 | no | — |
| 170 | C22×Q8 | — | 9 | 3 | no | — |
| 171 | C22×Q8 | — | 9 | 2 | no | — |
| 172 | C22×Q8 | C2×D9 | 1 | 1 | yes | characteristic |
| 173 | C22×D4 | C2×D9 | 1 | 3 | yes | — |
| 174 | C23×C4 | C2×D9 | 1 | 3 | yes | — |
| 175 | C4⋊Q8 | — | 9 | 6 | no | — |
| 176 | #124 | — | 9 | 6 | no | — |
| 177 | #123 | — | 9 | 6 | no | — |
| 178 | #123 | — | 9 | 12 | no | — |
| 179 | C22⋊Q8 | — | 9 | 6 | no | — |
| 180 | C22⋊Q8 | — | 9 | 6 | no | — |
| 181 | C22⋊Q8 | — | 9 | 3 | no | — |
| 182 | C22⋊Q8 | — | 9 | 6 | no | — |
| 183 | C22⋊Q8 | — | 9 | 3 | no | — |
| 184 | C22⋊Q8 | — | 9 | 6 | no | — |
| 185 | #121 | — | 9 | 3 | no | — |
| 186 | #121 | — | 9 | 12 | no | — |
| 187 | #121 | — | 9 | 6 | no | — |
| 188 | #121 | — | 9 | 1 | no | — |
| 189 | #120 | — | 9 | 6 | no | — |
| 190 | C4×Q8 | — | 9 | 2 | no | — |
| 191 | C4×D4 | — | 9 | 6 | no | — |
| 192 | C4×D4 | — | 9 | 6 | no | — |
| 193 | C4×D4 | — | 9 | 6 | no | — |
| 194 | #117 | — | 9 | 3 | no | — |
| 195 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 196 | C2×C4⋊C4 | — | 9 | 6 | no | — |
| 197 | C2×C22⋊C4 | — | 9 | 6 | no | — |
| 198 | C23×C3 | — | 2 | 3 | no | — |
| 199 | C23×C3 | — | 3 | 3 | no | — |
| 200 | C23×C3 | — | 3 | 3 | no | — |
| 201 | C23×C3 | — | 6 | 3 | no | — |
| 202 | C23×C3 | C23×D3 | 1 | 1 | yes | characteristic |
| 203 | C22×D3 | — | 3 | 2 | no | — |
| 204 | C3×Q8 | — | 3 | 3 | no | — |
| 205 | C3×Q8 | — | 6 | 1 | no | — |
| 206 | C3×Q8 | C2×S4 | 1 | 1 | yes | characteristic |
| 207 | C3×D4 | — | 3 | 6 | no | — |
| 208 | C3×D4 | — | 3 | 3 | no | — |
| 209 | C3×D4 | — | 6 | 3 | no | — |
| 210 | C3×D4 | C2×S4 | 1 | 3 | yes | — |
| 211 | C2×C3×C4 | — | 3 | 3 | no | — |
| 212 | C2×C3×C4 | — | 3 | 3 | no | — |
| 213 | C2×C3×C4 | — | 3 | 1 | no | — |
| 214 | C2×C3×C4 | — | 3 | 3 | no | — |
| 215 | C2×C3×C4 | — | 3 | 3 | no | — |
| 216 | C2×C3×C4 | — | 3 | 1 | no | — |
| 217 | C2×C3×C4 | — | 3 | 3 | no | — |
| 218 | C2×C3×C4 | — | 6 | 3 | no | — |
| 219 | C2×C3×C4 | C2×S4 | 1 | 3 | yes | — |
| 220 | #67 | — | 6 | 6 | no | — |
| 221 | #67 | — | 6 | 2 | no | — |
| 222 | #67 | — | 6 | 2 | no | — |
| 223 | #67 | — | 6 | 6 | no | — |
| 224 | #67 | — | 12 | 6 | no | — |
| 225 | C2×Dic3 | — | 3 | 2 | no | — |
| 226 | C2×Dic3 | — | 3 | 6 | no | — |
| 227 | C2×Dic3 | — | 3 | 6 | no | — |
| 228 | C2×Dic3 | — | 6 | 6 | no | — |
| 229 | C2×Dic3 | — | 6 | 6 | no | — |
| 230 | C2×Dic3 | — | 12 | 6 | no | — |
| 231 | D12 | — | 6 | 1 | no | — |
| 232 | D12 | — | 6 | 1 | no | — |
| 233 | C4×D3 | — | 6 | 6 | no | — |
| 234 | C4×D3 | — | 6 | 6 | no | — |
| 235 | Dic6 | — | 6 | 3 | no | — |
| 236 | Dic6 | — | 6 | 6 | no | — |
| 237 | Dic6 | — | 6 | 3 | no | — |
| 238 | Dic6 | — | 6 | 6 | no | — |
| 239 | C2×C9 | — | 4 | 1 | no | — |
| 240 | C2×C9 | — | 8 | 3 | no | — |
| 241 | D9 | — | 8 | 2 | no | — |
| 242 | C24 | C22×D9 | 1 | 3 | yes | — |
| 243 | #41 | — | 3 | 1 | no | — |
| 244 | #41 | — | 3 | 3 | no | — |
| 245 | #41 | — | 3 | 3 | no | — |
| 246 | #41 | — | 6 | 1 | no | — |
| 247 | #41 | — | 6 | 3 | no | — |
| 248 | #41 | — | 6 | 3 | no | — |
| 249 | #41 | — | 18 | 3 | no | — |
| 250 | #41 | — | 18 | 3 | no | — |
| 251 | #41 | — | 18 | 3 | no | — |
| 252 | #41 | — | 18 | 12 | no | — |
| 253 | #41 | — | 18 | 6 | no | — |
| 254 | #41 | — | 18 | 6 | no | — |
| 255 | #41 | — | 18 | 3 | no | — |
| 256 | #41 | (C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 257 | C2×Q8 | — | 3 | 1 | no | — |
| 258 | C2×Q8 | — | 3 | 3 | no | — |
| 259 | C2×Q8 | — | 9 | 3 | no | — |
| 260 | C2×Q8 | — | 9 | 6 | no | — |
| 261 | C2×Q8 | — | 18 | 3 | no | — |
| 262 | C2×Q8 | — | 18 | 3 | no | — |
| 263 | C2×Q8 | — | 18 | 3 | no | — |
| 264 | C2×Q8 | — | 18 | 6 | no | — |
| 265 | C2×Q8 | — | 18 | 2 | no | — |
| 266 | C2×Q8 | — | 18 | 3 | no | — |
| 267 | C2×D4 | — | 3 | 3 | no | — |
| 268 | C2×D4 | — | 3 | 6 | no | — |
| 269 | C2×D4 | — | 3 | 3 | no | — |
| 270 | C2×D4 | — | 9 | 1 | no | — |
| 271 | C2×D4 | — | 9 | 6 | no | — |
| 272 | C2×D4 | — | 9 | 2 | no | — |
| 273 | C2×D4 | — | 9 | 6 | no | — |
| 274 | C22×C4 | — | 3 | 3 | no | — |
| 275 | C22×C4 | — | 3 | 3 | no | — |
| 276 | C22×C4 | — | 3 | 3 | no | — |
| 277 | C22×C4 | — | 3 | 3 | no | — |
| 278 | C22×C4 | — | 9 | 6 | no | — |
| 279 | C22×C4 | — | 9 | 6 | no | — |
| 280 | C22×C4 | — | 9 | 6 | no | — |
| 281 | C22×C4 | C22×D9 | 1 | 3 | yes | — |
| 282 | C22×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 283 | C4⋊C4 | — | 9 | 3 | no | — |
| 284 | C4⋊C4 | — | 9 | 6 | no | — |
| 285 | C4⋊C4 | — | 9 | 6 | no | — |
| 286 | C4⋊C4 | — | 9 | 12 | no | — |
| 287 | C4⋊C4 | — | 9 | 1 | no | — |
| 288 | C4⋊C4 | — | 9 | 6 | no | — |
| 289 | C22⋊C4 | — | 9 | 2 | no | — |
| 290 | C22⋊C4 | — | 9 | 6 | no | — |
| 291 | C22⋊C4 | — | 9 | 12 | no | — |
| 292 | C22⋊C4 | — | 9 | 6 | no | — |
| 293 | C22⋊C4 | — | 9 | 6 | no | — |
| 294 | C22⋊C4 | — | 9 | 6 | no | — |
| 295 | C42 | — | 9 | 6 | no | — |
| 296 | C22×C3 | — | 3 | 1 | no | — |
| 297 | C22×C3 | — | 3 | 1 | no | — |
| 298 | C22×C3 | — | 3 | 3 | no | — |
| 299 | C22×C3 | — | 6 | 3 | no | — |
| 300 | C22×C3 | — | 6 | 3 | no | — |
| 301 | C22×C3 | — | 6 | 3 | no | — |
| 302 | C22×C3 | — | 6 | 3 | no | — |
| 303 | C22×C3 | #1010 | 1 | 1 | yes | characteristic |
| 304 | C22×C3 | C22×S4 | 1 | 3 | yes | — |
| 305 | C2×D3 | — | 6 | 2 | no | — |
| 306 | C2×D3 | — | 6 | 2 | no | — |
| 307 | C2×D3 | — | 6 | 2 | no | — |
| 308 | C3×C4 | — | 3 | 1 | no | — |
| 309 | C3×C4 | — | 3 | 3 | no | — |
| 310 | C3×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 311 | C3×C4 | C22×S4 | 1 | 3 | yes | — |
| 312 | Dic3 | — | 6 | 6 | no | — |
| 313 | Dic3 | — | 6 | 2 | no | — |
| 314 | Dic3 | — | 6 | 6 | no | — |
| 315 | C9 | — | 4 | 1 | no | Sylow |
| 316 | C23 | — | 2 | 3 | no | — |
| 317 | C23 | — | 3 | 3 | no | — |
| 318 | C23 | — | 3 | 3 | no | — |
| 319 | C23 | — | 6 | 3 | no | — |
| 320 | C23 | — | 9 | 2 | no | — |
| 321 | C23 | C23×D9 | 1 | 1 | yes | characteristic |
| 322 | Q8 | — | 3 | 3 | no | — |
| 323 | Q8 | — | 6 | 1 | no | — |
| 324 | Q8 | — | 18 | 3 | no | — |
| 325 | Q8 | — | 18 | 6 | no | — |
| 326 | Q8 | — | 18 | 3 | no | — |
| 327 | Q8 | — | 18 | 6 | no | — |
| 328 | Q8 | C2×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 329 | D4 | — | 3 | 6 | no | — |
| 330 | D4 | — | 3 | 3 | no | — |
| 331 | D4 | — | 6 | 3 | no | — |
| 332 | D4 | — | 18 | 1 | no | — |
| 333 | D4 | — | 18 | 6 | no | — |
| 334 | D4 | — | 18 | 2 | no | — |
| 335 | D4 | — | 18 | 6 | no | — |
| 336 | D4 | — | 18 | 2 | no | — |
| 337 | D4 | — | 18 | 1 | no | — |
| 338 | D4 | — | 36 | 6 | no | — |
| 339 | D4 | C2×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 340 | C2×C4 | — | 3 | 3 | no | — |
| 341 | C2×C4 | — | 3 | 3 | no | — |
| 342 | C2×C4 | — | 3 | 1 | no | — |
| 343 | C2×C4 | — | 3 | 3 | no | — |
| 344 | C2×C4 | — | 3 | 3 | no | — |
| 345 | C2×C4 | — | 3 | 1 | no | — |
| 346 | C2×C4 | — | 3 | 3 | no | — |
| 347 | C2×C4 | — | 6 | 3 | no | — |
| 348 | C2×C4 | — | 9 | 2 | no | — |
| 349 | C2×C4 | — | 9 | 6 | no | — |
| 350 | C2×C4 | — | 9 | 6 | no | — |
| 351 | C2×C4 | — | 18 | 6 | no | — |
| 352 | C2×C4 | — | 18 | 6 | no | — |
| 353 | C2×C4 | — | 18 | 6 | no | — |
| 354 | C2×C4 | — | 18 | 6 | no | — |
| 355 | C2×C4 | — | 36 | 6 | no | — |
| 356 | C2×C4 | C2×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 357 | C2×C3 | — | 2 | 3 | no | — |
| 358 | C2×C3 | — | 3 | 1 | no | — |
| 359 | C2×C3 | — | 3 | 1 | no | — |
| 360 | C2×C3 | — | 6 | 3 | no | — |
| 361 | C2×C3 | C23×S4 | 1 | 1 | yes | characteristic |
| 362 | D3 | — | 12 | 2 | no | — |
| 363 | C22 | — | 3 | 1 | no | — |
| 364 | C22 | — | 3 | 1 | no | — |
| 365 | C22 | — | 3 | 3 | no | — |
| 366 | C22 | — | 6 | 3 | no | — |
| 367 | C22 | — | 6 | 3 | no | — |
| 368 | C22 | — | 6 | 3 | no | — |
| 369 | C22 | — | 6 | 3 | no | — |
| 370 | C22 | — | 18 | 2 | no | — |
| 371 | C22 | — | 18 | 2 | no | — |
| 372 | C22 | — | 18 | 2 | no | — |
| 373 | C22 | #63716 | 1 | 1 | yes | characteristic, complemented |
| 374 | C22 | C22×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 375 | C4 | — | 3 | 1 | no | — |
| 376 | C4 | — | 3 | 3 | no | — |
| 377 | C4 | — | 18 | 6 | no | — |
| 378 | C4 | — | 18 | 2 | no | — |
| 379 | C4 | — | 18 | 6 | no | — |
| 380 | C4 | C22×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 381 | C4 | C22×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 382 | C3 | #87490 | 1 | 1 | yes | characteristic |
| 383 | C2 | — | 2 | 3 | no | — |
| 384 | C2 | — | 3 | 1 | no | — |
| 385 | C2 | — | 3 | 1 | no | — |
| 386 | C2 | — | 6 | 3 | no | — |
| 387 | C2 | — | 36 | 2 | no | — |
| 388 | C2 | C23×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #41×C22⋊C9 | C2 | semidirect |
| 2. Q8×(C22⋊C9)⋊C2 | C2 | semidirect |
| 3. #10593089 | C2 | semidirect |
| 4. #10593087 | C2 | semidirect |
| 5. C2×(C22⋊C9)⋊Q8 | C2 | semidirect |
| 90. C22×#41 | D9 | semidirect |
| 156. C22⋊C9 | 2−1+4 | semidirect |
| 256. #41 | (C22⋊C9)⋊C2 | semidirect |
| 373. C22 | #63716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×C22⋊C9 | 2 |
| Q8×(C22⋊C9)⋊C2 | 2 |
| #10593089 | 2 |
| #10593087 | 2 |
| C2×(C22⋊C9)⋊Q8 | 2 |
| #87264 | 3 |
| #63716 | 4 |