Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
480 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 48 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 | #10593094 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10593089 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | SD16×C22⋊C9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10589518 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10589517 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10589503 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C8×(C22⋊C9)⋊C2 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #83867 | — | 3 | 1 | no | maximal |
| 9 | Q8×C22⋊C9 | C22 | 1 | 1 | yes | characteristic |
| 10 | D4×C22⋊C9 | C22 | 1 | 1 | yes | characteristic |
| 11 | #63694 | — | 2 | 1 | no | — |
| 12 | C2×(C22⋊C9)⋊C4 | — | 2 | 1 | no | — |
| 13 | C4⋊((C22⋊C9)⋊C2) | — | 2 | 1 | no | — |
| 14 | C4⋊((C22⋊C9)⋊C2) | C22 | 1 | 1 | yes | characteristic |
| 15 | C4×(C22⋊C9)⋊C2 | — | 2 | 1 | no | — |
| 16 | C4×(C22⋊C9)⋊C2 | C22 | 1 | 1 | yes | characteristic |
| 17 | (C22⋊C9)⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 18 | #63478 | — | 4 | 1 | no | maximal |
| 19 | C8×C22⋊C9 | C22 | 1 | 1 | yes | characteristic |
| 20 | (C22⋊C9)⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×C3×SD16 | D3 | 1 | 1 | yes | characteristic |
| 22 | #5817 | — | 3 | 1 | no | — |
| 23 | #5806 | — | 3 | 1 | no | — |
| 24 | C2×#916 | — | 3 | 1 | no | — |
| 25 | #5228 | — | 3 | 1 | no | — |
| 26 | #5217 | — | 3 | 1 | no | — |
| 27 | #5173 | — | 3 | 1 | no | — |
| 28 | #5172 | — | 3 | 1 | no | — |
| 29 | #5171 | — | 3 | 1 | no | — |
| 30 | #5168 | — | 3 | 1 | no | — |
| 31 | #5166 | — | 3 | 1 | no | — |
| 32 | #5165 | — | 3 | 1 | no | — |
| 33 | Dic3×SD16 | — | 3 | 1 | no | — |
| 34 | #5114 | — | 3 | 1 | no | — |
| 35 | C8×#67 | — | 3 | 1 | no | — |
| 36 | C22×C22⋊C9 | — | 2 | 1 | no | — |
| 37 | C2×(C22⋊C9)⋊C2 | — | 2 | 1 | no | — |
| 38 | C2×(C22⋊C9)⋊C2 | D4 | 1 | 1 | yes | characteristic |
| 39 | #3701 | — | 4 | 1 | no | — |
| 40 | #3699 | — | 4 | 1 | no | — |
| 41 | C4×C22⋊C9 | — | 2 | 1 | no | — |
| 42 | C4×C22⋊C9 | C23 | 1 | 1 | yes | characteristic |
| 43 | (C22⋊C9)⋊C4 | — | 2 | 1 | no | — |
| 44 | (C22⋊C9)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 45 | C9×SD16 | — | 4 | 1 | no | — |
| 46 | #3674 | — | 4 | 1 | no | — |
| 47 | #3673 | — | 4 | 1 | no | — |
| 48 | #3664 | — | 4 | 1 | no | — |
| 49 | C8×D9 | — | 4 | 1 | no | — |
| 50 | #3282 | — | 9 | 1 | no | Sylow |
| 51 | C22×C3×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 52 | C22×C3×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 53 | C2×#239 | — | 3 | 1 | no | — |
| 54 | C2×#237 | — | 3 | 1 | no | — |
| 55 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 56 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 57 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 58 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 59 | C22×C3×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 60 | #953 | — | 6 | 1 | no | — |
| 61 | C2×#217 | — | 6 | 1 | no | — |
| 62 | #947 | — | 3 | 1 | no | — |
| 63 | #947 | — | 6 | 1 | no | — |
| 64 | #946 | — | 3 | 1 | no | — |
| 65 | #946 | — | 6 | 1 | no | — |
| 66 | Q8×Dic3 | — | 3 | 1 | no | — |
| 67 | C2×#216 | — | 3 | 1 | no | — |
| 68 | C2×#216 | — | 3 | 1 | no | — |
| 69 | #939 | — | 6 | 1 | no | — |
| 70 | #938 | — | 3 | 1 | no | — |
| 71 | #936 | — | 3 | 1 | no | — |
| 72 | #935 | — | 6 | 1 | no | — |
| 73 | D4×Dic3 | — | 3 | 1 | no | — |
| 74 | C2×#213 | — | 3 | 1 | no | — |
| 75 | C2×#213 | — | 3 | 1 | no | — |
| 76 | #930 | — | 3 | 1 | no | — |
| 77 | #930 | — | 6 | 1 | no | — |
| 78 | C4×#67 | — | 3 | 1 | no | — |
| 79 | C4×#67 | — | 6 | 1 | no | — |
| 80 | #924 | — | 3 | 1 | no | — |
| 81 | #916 | — | 6 | 1 | no | — |
| 82 | #916 | — | 6 | 1 | no | — |
| 83 | #916 | — | 6 | 1 | no | — |
| 84 | #916 | — | 6 | 1 | no | — |
| 85 | C2×#204 | — | 3 | 1 | no | — |
| 86 | C2×D3×C8 | — | 3 | 1 | no | — |
| 87 | #835 | — | 3 | 1 | no | — |
| 88 | #835 | — | 3 | 1 | no | — |
| 89 | #832 | — | 3 | 1 | no | — |
| 90 | #832 | — | 3 | 1 | no | — |
| 91 | #830 | — | 3 | 1 | no | — |
| 92 | #821 | — | 3 | 1 | no | — |
| 93 | (C2×D3)⋊C8 | — | 3 | 1 | no | — |
| 94 | #817 | — | 3 | 1 | no | — |
| 95 | #816 | — | 3 | 1 | no | — |
| 96 | Dic3⋊C8 | — | 3 | 1 | no | — |
| 97 | C8×Dic3 | — | 3 | 1 | no | — |
| 98 | C2×C22⋊C9 | — | 4 | 1 | no | — |
| 99 | C2×C22⋊C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | (C22⋊C9)⋊C2 | — | 2 | 1 | no | — |
| 101 | (C22⋊C9)⋊C2 | — | 4 | 1 | no | — |
| 102 | Q8×C9 | — | 4 | 1 | no | — |
| 103 | D4×C9 | — | 4 | 1 | no | — |
| 104 | #611 | — | 8 | 1 | no | — |
| 105 | C2×Dic9 | — | 8 | 1 | no | — |
| 106 | D36 | — | 4 | 1 | no | — |
| 107 | D36 | — | 8 | 1 | no | — |
| 108 | C4×D9 | — | 4 | 1 | no | — |
| 109 | C4×D9 | — | 8 | 1 | no | — |
| 110 | Dic18 | — | 4 | 1 | no | — |
| 111 | C8×C9 | — | 4 | 1 | no | — |
| 112 | C9⋊C8 | — | 4 | 1 | no | — |
| 113 | C2×#135 | — | 9 | 1 | no | — |
| 114 | C22×SD16 | D9 | 1 | 1 | yes | characteristic, complemented |
| 115 | #548 | — | 9 | 1 | no | — |
| 116 | #546 | — | 9 | 1 | no | — |
| 117 | #495 | — | 9 | 1 | no | — |
| 118 | #465 | — | 9 | 1 | no | — |
| 119 | #465 | — | 9 | 1 | no | — |
| 120 | #464 | — | 9 | 1 | no | — |
| 121 | #463 | — | 9 | 1 | no | — |
| 122 | #452 | — | 9 | 1 | no | — |
| 123 | #451 | — | 9 | 1 | no | — |
| 124 | #449 | — | 9 | 1 | no | — |
| 125 | #447 | — | 9 | 1 | no | — |
| 126 | C4×SD16 | — | 9 | 1 | no | — |
| 127 | C8×D4 | — | 9 | 1 | no | — |
| 128 | C24×C3 | — | 2 | 1 | no | — |
| 129 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 130 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 131 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 132 | C2×C3×D4 | — | 3 | 1 | no | — |
| 133 | C2×C3×D4 | — | 3 | 1 | no | — |
| 134 | C2×C3×D4 | — | 6 | 1 | no | — |
| 135 | C22×C3×C4 | — | 2 | 1 | no | — |
| 136 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 137 | C2×#67 | — | 3 | 1 | no | — |
| 138 | C2×#67 | — | 6 | 1 | no | — |
| 139 | C2×#67 | — | 6 | 1 | no | — |
| 140 | C2×#67 | — | 6 | 1 | no | — |
| 141 | C22×Dic3 | — | 6 | 1 | no | — |
| 142 | C22×Dic3 | — | 6 | 1 | no | — |
| 143 | #239 | — | 6 | 1 | no | — |
| 144 | #239 | — | 6 | 1 | no | — |
| 145 | #239 | — | 12 | 1 | no | — |
| 146 | #237 | — | 6 | 1 | no | — |
| 147 | #237 | — | 6 | 1 | no | — |
| 148 | #237 | — | 12 | 1 | no | — |
| 149 | C2×D12 | — | 3 | 1 | no | — |
| 150 | C2×D12 | — | 6 | 1 | no | — |
| 151 | C2×C4×D3 | — | 3 | 1 | no | — |
| 152 | C2×C4×D3 | — | 6 | 1 | no | — |
| 153 | C2×Dic6 | — | 3 | 1 | no | — |
| 154 | C3×SD16 | — | 3 | 1 | no | — |
| 155 | C3×SD16 | — | 3 | 1 | no | — |
| 156 | C3×SD16 | — | 3 | 1 | no | — |
| 157 | C3×SD16 | — | 6 | 1 | no | — |
| 158 | C3×SD16 | S4 | 1 | 1 | yes | characteristic |
| 159 | C2×C3×C8 | — | 3 | 1 | no | — |
| 160 | C2×C3×C8 | — | 3 | 1 | no | — |
| 161 | #217 | — | 3 | 1 | no | — |
| 162 | #217 | — | 6 | 1 | no | — |
| 163 | #217 | — | 6 | 1 | no | — |
| 164 | #217 | — | 6 | 1 | no | — |
| 165 | #217 | — | 6 | 1 | no | — |
| 166 | #217 | — | 6 | 1 | no | — |
| 167 | #216 | — | 6 | 1 | no | — |
| 168 | #216 | — | 6 | 1 | no | — |
| 169 | #216 | — | 12 | 1 | no | — |
| 170 | #213 | — | 6 | 1 | no | — |
| 171 | #213 | — | 6 | 1 | no | — |
| 172 | #213 | — | 12 | 1 | no | — |
| 173 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 174 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 175 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 176 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 177 | (C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 178 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 179 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 180 | C4⋊Dic3 | — | 6 | 1 | no | — |
| 181 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 182 | Dic3⋊C4 | — | 6 | 1 | no | — |
| 183 | Dic3⋊C4 | — | 6 | 1 | no | — |
| 184 | C4×Dic3 | — | 3 | 1 | no | — |
| 185 | C4×Dic3 | — | 6 | 1 | no | — |
| 186 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 187 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 188 | #204 | — | 6 | 1 | no | — |
| 189 | #204 | — | 6 | 1 | no | — |
| 190 | D3×C8 | — | 6 | 1 | no | — |
| 191 | D3×C8 | — | 6 | 1 | no | — |
| 192 | C22×C9 | — | 8 | 1 | no | — |
| 193 | C2×D9 | — | 4 | 1 | no | — |
| 194 | C2×D9 | — | 8 | 1 | no | — |
| 195 | C22⋊C9 | #135 | 1 | 1 | yes | characteristic, complemented |
| 196 | C4×C9 | — | 4 | 1 | no | — |
| 197 | C4×C9 | — | 8 | 1 | no | — |
| 198 | Dic9 | — | 4 | 1 | no | — |
| 199 | Dic9 | — | 8 | 1 | no | — |
| 200 | C2×#41 | — | 9 | 1 | no | — |
| 201 | C2×#41 | — | 9 | 1 | no | — |
| 202 | C22×Q8 | C2×D9 | 1 | 1 | yes | characteristic |
| 203 | C22×D4 | C2×D9 | 1 | 1 | yes | characteristic |
| 204 | #135 | — | 18 | 1 | no | — |
| 205 | #135 | — | 18 | 1 | no | — |
| 206 | #135 | — | 18 | 1 | no | — |
| 207 | #135 | — | 18 | 1 | no | — |
| 208 | C2×Q16 | — | 9 | 1 | no | — |
| 209 | C2×Q16 | — | 9 | 1 | no | — |
| 210 | C2×SD16 | — | 3 | 1 | no | — |
| 211 | C2×SD16 | — | 3 | 1 | no | — |
| 212 | C2×SD16 | — | 3 | 1 | no | — |
| 213 | C2×SD16 | — | 3 | 1 | no | — |
| 214 | C2×SD16 | — | 9 | 1 | no | — |
| 215 | C2×D8 | — | 9 | 1 | no | — |
| 216 | C2×D8 | — | 9 | 1 | no | — |
| 217 | C22×C8 | — | 9 | 1 | no | — |
| 218 | C22×C8 | C2×D9 | 1 | 1 | yes | characteristic |
| 219 | #124 | — | 9 | 1 | no | — |
| 220 | #124 | — | 9 | 1 | no | — |
| 221 | #124 | — | 18 | 1 | no | — |
| 222 | #123 | — | 18 | 1 | no | — |
| 223 | C22⋊Q8 | — | 9 | 1 | no | — |
| 224 | C22⋊Q8 | — | 9 | 1 | no | — |
| 225 | C22⋊Q8 | — | 18 | 1 | no | — |
| 226 | #121 | — | 9 | 1 | no | — |
| 227 | #121 | — | 9 | 1 | no | — |
| 228 | #121 | — | 18 | 1 | no | — |
| 229 | #121 | — | 18 | 1 | no | — |
| 230 | #120 | — | 18 | 1 | no | — |
| 231 | C4×Q8 | — | 9 | 1 | no | — |
| 232 | C4×D4 | — | 9 | 1 | no | — |
| 233 | C4×D4 | — | 9 | 1 | no | — |
| 234 | C4×D4 | — | 18 | 1 | no | — |
| 235 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 236 | #106 | — | 9 | 1 | no | — |
| 237 | C4⋊C8 | — | 9 | 1 | no | — |
| 238 | #103 | — | 9 | 1 | no | — |
| 239 | #103 | — | 9 | 1 | no | — |
| 240 | #103 | — | 9 | 1 | no | — |
| 241 | #102 | — | 9 | 1 | no | — |
| 242 | #102 | — | 9 | 1 | no | — |
| 243 | #102 | — | 9 | 1 | no | — |
| 244 | C22⋊C8 | — | 9 | 1 | no | — |
| 245 | C22⋊C8 | — | 9 | 1 | no | — |
| 246 | C4×C8 | — | 9 | 1 | no | — |
| 247 | C23×C3 | — | 4 | 1 | no | — |
| 248 | C23×C3 | — | 6 | 1 | no | — |
| 249 | C23×C3 | — | 6 | 1 | no | — |
| 250 | C23×C3 | — | 12 | 1 | no | — |
| 251 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 252 | C22×D3 | — | 3 | 1 | no | — |
| 253 | C22×D3 | — | 6 | 1 | no | — |
| 254 | C3×Q8 | — | 3 | 1 | no | — |
| 255 | C3×Q8 | — | 6 | 1 | no | — |
| 256 | C3×Q8 | — | 6 | 1 | no | — |
| 257 | C3×Q8 | C2×S4 | 1 | 1 | yes | characteristic |
| 258 | C3×D4 | — | 3 | 1 | no | — |
| 259 | C3×D4 | — | 6 | 1 | no | — |
| 260 | C3×D4 | — | 6 | 1 | no | — |
| 261 | C3×D4 | C2×S4 | 1 | 1 | yes | characteristic |
| 262 | C2×C3×C4 | — | 3 | 1 | no | — |
| 263 | C2×C3×C4 | — | 3 | 1 | no | — |
| 264 | C2×C3×C4 | — | 6 | 1 | no | — |
| 265 | C2×C3×C4 | — | 6 | 1 | no | — |
| 266 | #67 | — | 6 | 1 | no | — |
| 267 | #67 | — | 6 | 1 | no | — |
| 268 | #67 | — | 12 | 1 | no | — |
| 269 | #67 | — | 12 | 1 | no | — |
| 270 | #67 | — | 12 | 1 | no | — |
| 271 | #67 | — | 12 | 1 | no | — |
| 272 | #67 | — | 24 | 1 | no | — |
| 273 | C2×Dic3 | — | 3 | 1 | no | — |
| 274 | C2×Dic3 | — | 3 | 1 | no | — |
| 275 | C2×Dic3 | — | 3 | 1 | no | — |
| 276 | C2×Dic3 | — | 6 | 1 | no | — |
| 277 | C2×Dic3 | — | 6 | 1 | no | — |
| 278 | C2×Dic3 | — | 6 | 1 | no | — |
| 279 | C2×Dic3 | — | 12 | 1 | no | — |
| 280 | C2×Dic3 | — | 12 | 1 | no | — |
| 281 | C2×Dic3 | — | 24 | 1 | no | — |
| 282 | D12 | — | 6 | 1 | no | — |
| 283 | D12 | — | 6 | 1 | no | — |
| 284 | D12 | — | 12 | 1 | no | — |
| 285 | D12 | — | 12 | 1 | no | — |
| 286 | C4×D3 | — | 6 | 1 | no | — |
| 287 | C4×D3 | — | 6 | 1 | no | — |
| 288 | C4×D3 | — | 12 | 1 | no | — |
| 289 | C4×D3 | — | 12 | 1 | no | — |
| 290 | Dic6 | — | 6 | 1 | no | — |
| 291 | Dic6 | — | 6 | 1 | no | — |
| 292 | C3×C8 | — | 3 | 1 | no | — |
| 293 | C3×C8 | C2×S4 | 1 | 1 | yes | characteristic |
| 294 | C3⋊C8 | — | 6 | 1 | no | — |
| 295 | C3⋊C8 | — | 6 | 1 | no | — |
| 296 | C2×C9 | — | 4 | 1 | no | — |
| 297 | C2×C9 | — | 16 | 1 | no | — |
| 298 | D9 | — | 8 | 1 | no | — |
| 299 | D9 | — | 16 | 1 | no | — |
| 300 | C24 | — | 2 | 1 | no | — |
| 301 | #41 | — | 18 | 1 | no | — |
| 302 | #41 | — | 18 | 1 | no | — |
| 303 | #41 | — | 18 | 1 | no | — |
| 304 | #41 | — | 18 | 1 | no | — |
| 305 | #41 | — | 36 | 1 | no | — |
| 306 | #41 | — | 36 | 1 | no | — |
| 307 | C2×Q8 | — | 3 | 1 | no | — |
| 308 | C2×Q8 | — | 3 | 1 | no | — |
| 309 | C2×Q8 | — | 6 | 1 | no | — |
| 310 | C2×Q8 | — | 9 | 1 | no | — |
| 311 | C2×D4 | — | 3 | 1 | no | — |
| 312 | C2×D4 | — | 3 | 1 | no | — |
| 313 | C2×D4 | — | 6 | 1 | no | — |
| 314 | C2×D4 | — | 9 | 1 | no | — |
| 315 | C2×D4 | — | 9 | 1 | no | — |
| 316 | C2×D4 | — | 18 | 1 | no | — |
| 317 | C2×D4 | — | 18 | 1 | no | — |
| 318 | C2×D4 | — | 18 | 1 | no | — |
| 319 | C2×D4 | — | 18 | 1 | no | — |
| 320 | C22×C4 | — | 2 | 1 | no | — |
| 321 | C22×C4 | — | 9 | 1 | no | — |
| 322 | C22×C4 | — | 18 | 1 | no | — |
| 323 | C22×C4 | — | 18 | 1 | no | — |
| 324 | C22×C4 | — | 18 | 1 | no | — |
| 325 | C22×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 326 | Q16 | — | 18 | 1 | no | — |
| 327 | Q16 | — | 18 | 1 | no | — |
| 328 | Q16 | — | 36 | 1 | no | — |
| 329 | SD16 | — | 3 | 1 | no | — |
| 330 | SD16 | — | 3 | 1 | no | — |
| 331 | SD16 | — | 3 | 1 | no | — |
| 332 | SD16 | — | 6 | 1 | no | — |
| 333 | SD16 | — | 18 | 1 | no | — |
| 334 | SD16 | — | 18 | 1 | no | — |
| 335 | SD16 | (C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 336 | D8 | — | 18 | 1 | no | — |
| 337 | D8 | — | 18 | 1 | no | — |
| 338 | D8 | — | 36 | 1 | no | — |
| 339 | C2×C8 | — | 3 | 1 | no | — |
| 340 | C2×C8 | — | 3 | 1 | no | — |
| 341 | C2×C8 | — | 9 | 1 | no | — |
| 342 | C2×C8 | — | 9 | 1 | no | — |
| 343 | C2×C8 | — | 18 | 1 | no | — |
| 344 | C2×C8 | — | 18 | 1 | no | — |
| 345 | C4⋊C4 | — | 9 | 1 | no | — |
| 346 | C4⋊C4 | — | 9 | 1 | no | — |
| 347 | C4⋊C4 | — | 9 | 1 | no | — |
| 348 | C4⋊C4 | — | 18 | 1 | no | — |
| 349 | C4⋊C4 | — | 18 | 1 | no | — |
| 350 | C4⋊C4 | — | 18 | 1 | no | — |
| 351 | C22⋊C4 | — | 9 | 1 | no | — |
| 352 | C22⋊C4 | — | 9 | 1 | no | — |
| 353 | C22⋊C4 | — | 18 | 1 | no | — |
| 354 | C22⋊C4 | — | 18 | 1 | no | — |
| 355 | C22⋊C4 | — | 18 | 1 | no | — |
| 356 | C22⋊C4 | — | 18 | 1 | no | — |
| 357 | C22⋊C4 | — | 18 | 1 | no | — |
| 358 | C22⋊C4 | — | 18 | 1 | no | — |
| 359 | C22⋊C4 | — | 18 | 1 | no | — |
| 360 | C22⋊C4 | — | 18 | 1 | no | — |
| 361 | C22⋊C4 | — | 18 | 1 | no | — |
| 362 | C42 | — | 9 | 1 | no | — |
| 363 | C42 | — | 18 | 1 | no | — |
| 364 | C22×C3 | — | 2 | 1 | no | — |
| 365 | C22×C3 | — | 3 | 1 | no | — |
| 366 | C22×C3 | — | 3 | 1 | no | — |
| 367 | C22×C3 | — | 6 | 1 | no | — |
| 368 | C22×C3 | — | 12 | 1 | no | — |
| 369 | C22×C3 | — | 12 | 1 | no | — |
| 370 | C22×C3 | — | 12 | 1 | no | — |
| 371 | C22×C3 | — | 12 | 1 | no | — |
| 372 | C22×C3 | #916 | 1 | 1 | yes | characteristic |
| 373 | C2×D3 | — | 6 | 1 | no | — |
| 374 | C2×D3 | — | 6 | 1 | no | — |
| 375 | C2×D3 | — | 6 | 1 | no | — |
| 376 | C2×D3 | — | 12 | 1 | no | — |
| 377 | C2×D3 | — | 12 | 1 | no | — |
| 378 | C2×D3 | — | 12 | 1 | no | — |
| 379 | C3×C4 | — | 2 | 1 | no | — |
| 380 | C3×C4 | — | 3 | 1 | no | — |
| 381 | C3×C4 | — | 6 | 1 | no | — |
| 382 | C3×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 383 | Dic3 | — | 6 | 1 | no | — |
| 384 | Dic3 | — | 6 | 1 | no | — |
| 385 | Dic3 | — | 6 | 1 | no | — |
| 386 | Dic3 | — | 12 | 1 | no | — |
| 387 | Dic3 | — | 12 | 1 | no | — |
| 388 | Dic3 | — | 12 | 1 | no | — |
| 389 | C9 | — | 4 | 1 | no | Sylow |
| 390 | C23 | — | 4 | 1 | no | — |
| 391 | C23 | — | 6 | 1 | no | — |
| 392 | C23 | — | 6 | 1 | no | — |
| 393 | C23 | — | 9 | 1 | no | — |
| 394 | C23 | — | 12 | 1 | no | — |
| 395 | C23 | — | 18 | 1 | no | — |
| 396 | C23 | D4×D9 | 1 | 1 | yes | characteristic |
| 397 | Q8 | — | 3 | 1 | no | — |
| 398 | Q8 | — | 6 | 1 | no | — |
| 399 | Q8 | — | 6 | 1 | no | — |
| 400 | Q8 | — | 18 | 1 | no | — |
| 401 | Q8 | — | 18 | 1 | no | — |
| 402 | Q8 | C2×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 403 | D4 | — | 3 | 1 | no | — |
| 404 | D4 | — | 6 | 1 | no | — |
| 405 | D4 | — | 6 | 1 | no | — |
| 406 | D4 | — | 18 | 1 | no | — |
| 407 | D4 | — | 18 | 1 | no | — |
| 408 | D4 | — | 18 | 1 | no | — |
| 409 | D4 | — | 18 | 1 | no | — |
| 410 | D4 | — | 36 | 1 | no | — |
| 411 | D4 | — | 36 | 1 | no | — |
| 412 | D4 | — | 36 | 1 | no | — |
| 413 | D4 | — | 36 | 1 | no | — |
| 414 | D4 | — | 36 | 1 | no | — |
| 415 | D4 | — | 36 | 1 | no | — |
| 416 | D4 | — | 72 | 1 | no | — |
| 417 | D4 | C2×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 418 | C2×C4 | — | 3 | 1 | no | — |
| 419 | C2×C4 | — | 3 | 1 | no | — |
| 420 | C2×C4 | — | 6 | 1 | no | — |
| 421 | C2×C4 | — | 6 | 1 | no | — |
| 422 | C2×C4 | — | 9 | 1 | no | — |
| 423 | C2×C4 | — | 9 | 1 | no | — |
| 424 | C2×C4 | — | 9 | 1 | no | — |
| 425 | C2×C4 | — | 18 | 1 | no | — |
| 426 | C2×C4 | — | 18 | 1 | no | — |
| 427 | C2×C4 | — | 18 | 1 | no | — |
| 428 | C2×C4 | — | 18 | 1 | no | — |
| 429 | C2×C4 | — | 18 | 1 | no | — |
| 430 | C2×C4 | — | 36 | 1 | no | — |
| 431 | C2×C4 | — | 36 | 1 | no | — |
| 432 | C2×C4 | — | 36 | 1 | no | — |
| 433 | C2×C4 | — | 36 | 1 | no | — |
| 434 | C2×C4 | — | 72 | 1 | no | — |
| 435 | C8 | — | 3 | 1 | no | — |
| 436 | C8 | — | 18 | 1 | no | — |
| 437 | C8 | — | 18 | 1 | no | — |
| 438 | C8 | C2×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 439 | C2×C3 | — | 3 | 1 | no | — |
| 440 | C2×C3 | — | 3 | 1 | no | — |
| 441 | C2×C3 | — | 4 | 1 | no | — |
| 442 | C2×C3 | — | 12 | 1 | no | — |
| 443 | C2×C3 | D4×S4 | 1 | 1 | yes | characteristic |
| 444 | D3 | — | 12 | 1 | no | — |
| 445 | D3 | — | 24 | 1 | no | — |
| 446 | C22 | — | 2 | 1 | no | — |
| 447 | C22 | — | 3 | 1 | no | — |
| 448 | C22 | — | 3 | 1 | no | — |
| 449 | C22 | — | 6 | 1 | no | — |
| 450 | C22 | — | 12 | 1 | no | — |
| 451 | C22 | — | 12 | 1 | no | — |
| 452 | C22 | — | 12 | 1 | no | — |
| 453 | C22 | — | 12 | 1 | no | — |
| 454 | C22 | — | 18 | 1 | no | — |
| 455 | C22 | — | 18 | 1 | no | — |
| 456 | C22 | — | 18 | 1 | no | — |
| 457 | C22 | — | 36 | 1 | no | — |
| 458 | C22 | — | 36 | 1 | no | — |
| 459 | C22 | — | 36 | 1 | no | — |
| 460 | C22 | #63478 | 1 | 1 | yes | characteristic, complemented |
| 461 | C4 | — | 2 | 1 | no | — |
| 462 | C4 | — | 3 | 1 | no | — |
| 463 | C4 | — | 6 | 1 | no | — |
| 464 | C4 | — | 18 | 1 | no | — |
| 465 | C4 | — | 18 | 1 | no | — |
| 466 | C4 | — | 18 | 1 | no | — |
| 467 | C4 | — | 36 | 1 | no | — |
| 468 | C4 | — | 36 | 1 | no | — |
| 469 | C4 | — | 36 | 1 | no | — |
| 470 | C4 | C22×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 471 | C3 | #85462 | 1 | 1 | yes | characteristic |
| 472 | C2 | — | 3 | 1 | no | — |
| 473 | C2 | — | 3 | 1 | no | — |
| 474 | C2 | — | 4 | 1 | no | — |
| 475 | C2 | — | 12 | 1 | no | — |
| 476 | C2 | — | 36 | 1 | no | — |
| 477 | C2 | — | 72 | 1 | no | — |
| 478 | C2 | D4×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10593094 | C2 | semidirect |
| 2. #10593089 | C2 | semidirect |
| 3. SD16×C22⋊C9 | C2 | semidirect |
| 4. #10589518 | C2 | semidirect |
| 5. #10589517 | C2 | semidirect |
| 6. #10589503 | C2 | semidirect |
| 7. C8×(C22⋊C9)⋊C2 | C2 | semidirect |
| 114. C22×SD16 | D9 | semidirect |
| 195. C22⋊C9 | #135 | semidirect |
| 335. SD16 | (C22⋊C9)⋊C2 | semidirect |
| 460. C22 | #63478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10593094 | 2 |
| #10593089 | 2 |
| SD16×C22⋊C9 | 2 |
| #10589518 | 2 |
| #10589517 | 2 |
| #10589503 | 2 |
| C8×(C22⋊C9)⋊C2 | 2 |
| #83867 | 3 |
| #63478 | 4 |