Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1394 conjugacy classes of subgroups; only the 215 normal subgroups are shown.
This group has 1394 conjugacy classes of subgroups — too many to draw. Only its 215 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 | C2×D32×Q8 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×Q8×#157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | Q8×#624 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10593403 | C2 | 1 | 3 | yes | maximal |
| 5 | C4×D32⋊C4 | C2 | 1 | 3 | yes | maximal |
| 6 | #10593342 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #10593341 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C2×Q8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×C3×D3×Q8 | — | 2 | 1 | no | — |
| 10 | D32×Q8 | — | 2 | 4 | no | — |
| 11 | D32×Q8 | C4 | 1 | 8 | yes | complemented |
| 12 | C2×C4×D32 | C22 | 1 | 3 | yes | — |
| 13 | C2×#3797 | C22 | 1 | 3 | yes | — |
| 14 | C2×D3×Dic6 | — | 2 | 3 | no | — |
| 15 | Q8×#157 | — | 2 | 4 | no | — |
| 16 | C2×C4⋊#157 | C22 | 1 | 3 | yes | — |
| 17 | C2×C4×#157 | C22 | 1 | 3 | yes | — |
| 18 | C2×D32⋊C4 | C22 | 1 | 3 | yes | — |
| 19 | C2×D32⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×Q8×Dic3 | — | 2 | 1 | no | — |
| 21 | #63900 | C22 | 1 | 3 | yes | — |
| 22 | C4×#624 | C22 | 1 | 3 | yes | — |
| 23 | #63844 | — | 2 | 3 | no | — |
| 24 | #63737 | C22 | 1 | 3 | yes | — |
| 25 | #63737 | C22 | 1 | 6 | yes | — |
| 26 | #63737 | C22 | 1 | 3 | yes | — |
| 27 | C22×D3×Q8 | — | 6 | 1 | no | — |
| 28 | C4×D3×Q8 | — | 6 | 1 | no | — |
| 29 | C22×D32 | C23 | 1 | 1 | yes | characteristic |
| 30 | C22×#157 | C23 | 1 | 3 | yes | — |
| 31 | C22×#157 | C23 | 1 | 1 | yes | characteristic |
| 32 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic |
| 33 | Q8×C3⋊D3 | C2×C4 | 1 | 4 | yes | — |
| 34 | Q8×C3⋊D3 | D4 | 1 | 4 | yes | — |
| 35 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 36 | C2×#634 | D4 | 1 | 3 | yes | — |
| 37 | C3×D3×Q8 | — | 2 | 8 | no | — |
| 38 | C2×C3×C4×D3 | — | 2 | 3 | no | — |
| 39 | C2×C3×Dic6 | — | 2 | 3 | no | — |
| 40 | C2×#627 | — | 2 | 3 | no | — |
| 41 | C2×#624 | C23 | 1 | 3 | yes | — |
| 42 | C2×#624 | C23 | 1 | 3 | yes | — |
| 43 | C2×#624 | C23 | 1 | 1 | yes | characteristic |
| 44 | C2×D3×Dic3 | — | 2 | 3 | no | — |
| 45 | C4×D32 | — | 2 | 6 | no | — |
| 46 | C4×D32 | C2×C4 | 1 | 12 | yes | — |
| 47 | #3797 | — | 2 | 6 | no | — |
| 48 | #3797 | C2×C4 | 1 | 12 | yes | — |
| 49 | D3×Dic6 | — | 2 | 24 | no | — |
| 50 | C4⋊#157 | — | 2 | 6 | no | — |
| 51 | C4×#157 | — | 2 | 6 | no | — |
| 52 | D32⋊C4 | — | 2 | 6 | no | — |
| 53 | D32⋊C4 | Q8 | 1 | 4 | yes | direct product factor |
| 54 | C3×C4⋊Dic3 | — | 2 | 3 | no | — |
| 55 | C3×C4×Dic3 | — | 2 | 3 | no | — |
| 56 | #3724 | — | 2 | 3 | no | — |
| 57 | Dic32 | — | 2 | 3 | no | — |
| 58 | Q8×C22⋊C4 | — | 9 | 1 | no | maximal, Sylow |
| 59 | C22×C3×Q8 | — | 6 | 1 | no | — |
| 60 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 61 | C2×D3×Q8 | — | 6 | 3 | no | — |
| 62 | C2×D3×Q8 | — | 6 | 8 | no | — |
| 63 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 64 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 65 | C2×D3×Q8 | — | 6 | 3 | no | — |
| 66 | C2×D3×Q8 | — | 6 | 8 | no | — |
| 67 | C22×C4×D3 | — | 6 | 3 | no | — |
| 68 | C22×Dic6 | — | 6 | 3 | no | — |
| 69 | C3×C4×Q8 | — | 6 | 1 | no | — |
| 70 | Q8×Dic3 | — | 2 | 1 | no | — |
| 71 | D3×C4⋊C4 | — | 6 | 3 | no | — |
| 72 | #887 | — | 6 | 3 | no | — |
| 73 | C42×D3 | — | 6 | 3 | no | — |
| 74 | C4×Dic6 | — | 6 | 3 | no | — |
| 75 | C22×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 76 | C22×C3×D3 | — | 2 | 1 | no | — |
| 77 | C2×D32 | — | 2 | 1 | no | — |
| 78 | C2×D32 | — | 2 | 1 | no | — |
| 79 | C2×D32 | — | 2 | 1 | no | — |
| 80 | C2×D32 | C22×C4 | 1 | 2 | yes | — |
| 81 | C2×D32 | C2×Q8 | 1 | 2 | yes | — |
| 82 | C2×D32 | #41 | 1 | 2 | yes | — |
| 83 | C2×#157 | — | 2 | 1 | no | — |
| 84 | C2×#157 | — | 2 | 1 | no | — |
| 85 | C2×#157 | — | 2 | 3 | no | — |
| 86 | C2×#157 | — | 2 | 3 | no | — |
| 87 | C2×#157 | — | 2 | 3 | no | — |
| 88 | C2×#157 | C2×Q8 | 1 | 2 | yes | complemented |
| 89 | C32×Q8 | C22⋊C4 | 1 | 4 | yes | complemented |
| 90 | C2×C32×C4 | C2×D4 | 1 | 3 | yes | — |
| 91 | C2×C3⋊Dic3 | C2×D4 | 1 | 3 | yes | — |
| 92 | C4×C3⋊D3 | C22×C4 | 1 | 6 | yes | — |
| 93 | C4×C3⋊D3 | C2×D4 | 1 | 6 | yes | — |
| 94 | #634 | C22⋊C4 | 1 | 12 | yes | complemented |
| 95 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 96 | C2×C3×Dic3 | — | 2 | 3 | no | — |
| 97 | C2×C3×Dic3 | — | 2 | 3 | no | — |
| 98 | C3×C4×D3 | — | 2 | 12 | no | — |
| 99 | C3×Dic6 | — | 2 | 12 | no | — |
| 100 | #627 | — | 2 | 12 | no | — |
| 101 | #624 | — | 2 | 3 | no | — |
| 102 | #624 | — | 2 | 1 | no | — |
| 103 | #624 | — | 2 | 3 | no | — |
| 104 | #624 | — | 2 | 3 | no | — |
| 105 | #624 | C22×C4 | 1 | 6 | yes | — |
| 106 | #624 | C2×Q8 | 1 | 2 | yes | complemented |
| 107 | D3×Dic3 | — | 2 | 12 | no | — |
| 108 | C23×Q8 | — | 9 | 1 | no | — |
| 109 | C2×C4×Q8 | — | 9 | 1 | no | — |
| 110 | C2×C4×Q8 | — | 9 | 1 | no | — |
| 111 | #391 | — | 9 | 3 | no | — |
| 112 | #391 | — | 9 | 3 | no | — |
| 113 | #380 | — | 9 | 3 | no | — |
| 114 | C4×C22⋊C4 | — | 9 | 3 | no | — |
| 115 | C23×D3 | — | 6 | 1 | no | — |
| 116 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 117 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 118 | C2×C3×Q8 | — | 6 | 3 | no | — |
| 119 | C2×C3×Q8 | — | 6 | 8 | no | — |
| 120 | C22×C3×C4 | — | 6 | 3 | no | — |
| 121 | C22×Dic3 | — | 6 | 3 | no | — |
| 122 | D3×Q8 | — | 2 | 8 | no | — |
| 123 | D3×Q8 | — | 6 | 12 | no | — |
| 124 | D3×Q8 | — | 6 | 4 | no | — |
| 125 | D3×Q8 | — | 6 | 4 | no | — |
| 126 | D3×Q8 | — | 6 | 4 | no | — |
| 127 | D3×Q8 | — | 6 | 4 | no | — |
| 128 | D3×Q8 | — | 6 | 12 | no | — |
| 129 | D3×Q8 | — | 6 | 24 | no | — |
| 130 | C2×C4×D3 | — | 2 | 3 | no | — |
| 131 | C2×C4×D3 | — | 6 | 12 | no | — |
| 132 | C2×C4×D3 | — | 6 | 1 | no | — |
| 133 | C2×C4×D3 | — | 6 | 3 | no | — |
| 134 | C2×C4×D3 | — | 6 | 3 | no | — |
| 135 | C2×C4×D3 | — | 6 | 3 | no | — |
| 136 | C2×C4×D3 | — | 6 | 3 | no | — |
| 137 | C2×C4×D3 | — | 6 | 12 | no | — |
| 138 | C2×C4×D3 | — | 6 | 3 | no | — |
| 139 | C2×Dic6 | — | 2 | 3 | no | — |
| 140 | C2×Dic6 | — | 6 | 3 | no | — |
| 141 | C2×Dic6 | — | 6 | 3 | no | — |
| 142 | C2×Dic6 | — | 6 | 24 | no | — |
| 143 | C2×Dic6 | — | 6 | 6 | no | — |
| 144 | C3×C4⋊C4 | — | 6 | 3 | no | — |
| 145 | C3×C42 | — | 6 | 3 | no | — |
| 146 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 147 | Dic3⋊C4 | — | 6 | 6 | no | — |
| 148 | C4×Dic3 | — | 2 | 3 | no | — |
| 149 | C4×Dic3 | — | 6 | 3 | no | — |
| 150 | C4×Dic3 | — | 6 | 3 | no | — |
| 151 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×C3⋊D3 | C23×C4 | 1 | 1 | yes | characteristic |
| 153 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×C3⋊D3 | C22×Q8 | 1 | 1 | yes | characteristic |
| 155 | C2×C3⋊D3 | C2×#41 | 1 | 1 | yes | characteristic |
| 156 | C2×C3⋊D3 | 2−1+4 | 1 | 1 | yes | characteristic |
| 157 | C2×C3⋊D3 | 2−1+4 | 1 | 1 | yes | characteristic |
| 158 | C2×C3×D3 | — | 2 | 2 | no | — |
| 159 | C2×C3×D3 | — | 2 | 2 | no | — |
| 160 | C2×C3×D3 | — | 2 | 2 | no | — |
| 161 | D32 | — | 2 | 2 | no | — |
| 162 | D32 | — | 2 | 2 | no | — |
| 163 | D32 | — | 2 | 2 | no | — |
| 164 | D32 | C4×Q8 | 1 | 4 | yes | complemented |
| 165 | #157 | — | 2 | 2 | no | — |
| 166 | #157 | — | 4 | 3 | no | — |
| 167 | C32×C4 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 168 | C3⋊Dic3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 169 | C3×Dic3 | — | 2 | 6 | no | — |
| 170 | C3×Dic3 | — | 2 | 2 | no | — |
| 171 | C3×Dic3 | — | 4 | 3 | no | — |
| 172 | C22×Q8 | — | 6 | 1 | no | — |
| 173 | C22×Q8 | — | 9 | 3 | no | — |
| 174 | C22×Q8 | — | 9 | 8 | no | — |
| 175 | C22×Q8 | — | 9 | 1 | no | — |
| 176 | C22×Q8 | — | 18 | 3 | no | — |
| 177 | C22×Q8 | — | 18 | 4 | no | — |
| 178 | C23×C4 | — | 9 | 3 | no | — |
| 179 | C4×Q8 | — | 6 | 1 | no | — |
| 180 | C4×Q8 | — | 18 | 3 | no | — |
| 181 | C4×Q8 | — | 18 | 4 | no | — |
| 182 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 183 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 184 | C2×C22⋊C4 | — | 9 | 1 | no | — |
| 185 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 186 | C2×C42 | — | 9 | 3 | no | — |
| 187 | C2×C42 | — | 9 | 3 | no | — |
| 188 | #95 | — | 9 | 3 | no | — |
| 189 | #95 | — | 9 | 3 | no | — |
| 190 | #95 | — | 9 | 6 | no | — |
| 191 | C23×C3 | — | 6 | 1 | no | — |
| 192 | C22×D3 | — | 2 | 1 | no | — |
| 193 | C22×D3 | — | 6 | 2 | no | — |
| 194 | C22×D3 | — | 6 | 2 | no | — |
| 195 | C22×D3 | — | 6 | 2 | no | — |
| 196 | C22×D3 | — | 6 | 1 | no | — |
| 197 | C22×D3 | — | 6 | 1 | no | — |
| 198 | C22×D3 | — | 6 | 2 | no | — |
| 199 | C22×D3 | — | 6 | 2 | no | — |
| 200 | C22×D3 | — | 6 | 2 | no | — |
| 201 | C3×Q8 | — | 2 | 4 | no | — |
| 202 | C3×Q8 | — | 2 | 4 | no | — |
| 203 | C3×Q8 | — | 6 | 12 | no | — |
| 204 | C2×C3×C4 | — | 2 | 3 | no | — |
| 205 | C2×C3×C4 | — | 2 | 3 | no | — |
| 206 | C2×C3×C4 | — | 6 | 12 | no | — |
| 207 | C2×C3×C4 | — | 6 | 1 | no | — |
| 208 | C2×C3×C4 | — | 6 | 3 | no | — |
| 209 | C2×C3×C4 | — | 6 | 3 | no | — |
| 210 | C2×Dic3 | — | 2 | 1 | no | — |
| 211 | C2×Dic3 | — | 2 | 3 | no | — |
| 212 | C2×Dic3 | — | 2 | 3 | no | — |
| 213 | C2×Dic3 | — | 6 | 3 | no | — |
| 214 | C2×Dic3 | — | 6 | 3 | no | — |
| 215 | C2×Dic3 | — | 6 | 12 | no | — |
| 216 | C4×D3 | — | 2 | 12 | no | — |
| 217 | C4×D3 | — | 6 | 6 | no | — |
| 218 | C4×D3 | — | 6 | 2 | no | — |
| 219 | C4×D3 | — | 6 | 6 | no | — |
| 220 | C4×D3 | — | 6 | 6 | no | — |
| 221 | C4×D3 | — | 6 | 6 | no | — |
| 222 | C4×D3 | — | 6 | 6 | no | — |
| 223 | C4×D3 | — | 6 | 2 | no | — |
| 224 | C4×D3 | — | 6 | 6 | no | — |
| 225 | C4×D3 | — | 6 | 12 | no | — |
| 226 | C4×D3 | — | 12 | 3 | no | — |
| 227 | C4×D3 | — | 12 | 3 | no | — |
| 228 | Dic6 | — | 2 | 12 | no | — |
| 229 | Dic6 | — | 6 | 12 | no | — |
| 230 | Dic6 | — | 6 | 12 | no | — |
| 231 | Dic6 | — | 6 | 24 | no | — |
| 232 | C2×C32 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 233 | C2×C32 | #548 | 1 | 1 | yes | characteristic |
| 234 | C2×C32 | D4×Q8 | 1 | 1 | yes | characteristic |
| 235 | C3⋊D3 | C2×C4×Q8 | 1 | 1 | yes | characteristic |
| 236 | C3⋊D3 | #519 | 1 | 1 | yes | characteristic |
| 237 | C3⋊D3 | #548 | 1 | 1 | yes | characteristic |
| 238 | C3⋊D3 | D4×Q8 | 1 | 1 | yes | characteristic |
| 239 | C3×D3 | — | 2 | 4 | no | — |
| 240 | C24 | — | 9 | 1 | no | — |
| 241 | C2×Q8 | — | 6 | 8 | no | — |
| 242 | C2×Q8 | — | 6 | 3 | no | — |
| 243 | C2×Q8 | — | 9 | 12 | no | — |
| 244 | C2×Q8 | — | 9 | 4 | no | — |
| 245 | C2×Q8 | — | 9 | 4 | no | — |
| 246 | C2×Q8 | — | 9 | 3 | no | — |
| 247 | C2×Q8 | — | 18 | 3 | no | — |
| 248 | C2×Q8 | — | 18 | 24 | no | — |
| 249 | C2×Q8 | — | 18 | 6 | no | — |
| 250 | C2×Q8 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 251 | C22×C4 | — | 6 | 3 | no | — |
| 252 | C22×C4 | — | 9 | 3 | no | — |
| 253 | C22×C4 | — | 9 | 1 | no | — |
| 254 | C22×C4 | — | 9 | 12 | no | — |
| 255 | C22×C4 | — | 9 | 3 | no | — |
| 256 | C22×C4 | — | 9 | 3 | no | — |
| 257 | C22×C4 | — | 9 | 1 | no | — |
| 258 | C22×C4 | — | 9 | 3 | no | — |
| 259 | C22×C4 | — | 18 | 6 | no | — |
| 260 | C22×C4 | — | 18 | 3 | no | — |
| 261 | C4⋊C4 | — | 6 | 3 | no | — |
| 262 | C4⋊C4 | — | 18 | 3 | no | — |
| 263 | C4⋊C4 | — | 18 | 6 | no | — |
| 264 | C22⋊C4 | — | 9 | 4 | no | — |
| 265 | C22⋊C4 | — | 18 | 6 | no | — |
| 266 | C42 | — | 6 | 3 | no | — |
| 267 | C42 | — | 18 | 3 | no | — |
| 268 | C42 | — | 18 | 6 | no | — |
| 269 | C22×C3 | — | 2 | 1 | no | — |
| 270 | C22×C3 | — | 2 | 1 | no | — |
| 271 | C22×C3 | — | 6 | 2 | no | — |
| 272 | C22×C3 | — | 6 | 2 | no | — |
| 273 | C22×C3 | — | 6 | 2 | no | — |
| 274 | C2×D3 | — | 2 | 2 | no | — |
| 275 | C2×D3 | — | 2 | 2 | no | — |
| 276 | C2×D3 | — | 2 | 2 | no | — |
| 277 | C2×D3 | — | 6 | 4 | no | — |
| 278 | C2×D3 | — | 6 | 1 | no | — |
| 279 | C2×D3 | — | 6 | 1 | no | — |
| 280 | C2×D3 | — | 6 | 1 | no | — |
| 281 | C2×D3 | — | 6 | 1 | no | — |
| 282 | C2×D3 | — | 6 | 1 | no | — |
| 283 | C2×D3 | — | 6 | 1 | no | — |
| 284 | C2×D3 | — | 6 | 1 | no | — |
| 285 | C2×D3 | — | 6 | 1 | no | — |
| 286 | C2×D3 | — | 6 | 1 | no | — |
| 287 | C2×D3 | — | 6 | 1 | no | — |
| 288 | C2×D3 | — | 6 | 1 | no | — |
| 289 | C2×D3 | — | 6 | 1 | no | — |
| 290 | C2×D3 | — | 6 | 4 | no | — |
| 291 | C2×D3 | — | 6 | 4 | no | — |
| 292 | C2×D3 | — | 6 | 4 | no | — |
| 293 | C3×C4 | — | 2 | 6 | no | — |
| 294 | C3×C4 | — | 2 | 6 | no | — |
| 295 | C3×C4 | — | 6 | 6 | no | — |
| 296 | C3×C4 | — | 6 | 2 | no | — |
| 297 | C3×C4 | — | 12 | 3 | no | — |
| 298 | Dic3 | — | 2 | 6 | no | — |
| 299 | Dic3 | — | 2 | 2 | no | — |
| 300 | Dic3 | — | 4 | 3 | no | — |
| 301 | Dic3 | — | 6 | 6 | no | — |
| 302 | Dic3 | — | 6 | 6 | no | — |
| 303 | C32 | Q8×C22⋊C4 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 304 | C23 | — | 6 | 1 | no | — |
| 305 | C23 | — | 9 | 2 | no | — |
| 306 | C23 | — | 9 | 2 | no | — |
| 307 | C23 | — | 9 | 2 | no | — |
| 308 | C23 | — | 9 | 1 | no | — |
| 309 | C23 | — | 18 | 1 | no | — |
| 310 | C23 | — | 18 | 1 | no | — |
| 311 | C23 | — | 18 | 1 | no | — |
| 312 | Q8 | — | 6 | 12 | no | — |
| 313 | Q8 | — | 9 | 12 | no | — |
| 314 | Q8 | — | 18 | 12 | no | — |
| 315 | Q8 | D32⋊C4 | 1 | 4 | yes | direct product factor |
| 316 | C2×C4 | — | 6 | 1 | no | — |
| 317 | C2×C4 | — | 6 | 3 | no | — |
| 318 | C2×C4 | — | 6 | 12 | no | — |
| 319 | C2×C4 | — | 6 | 3 | no | — |
| 320 | C2×C4 | — | 9 | 2 | no | — |
| 321 | C2×C4 | — | 9 | 6 | no | — |
| 322 | C2×C4 | — | 9 | 3 | no | — |
| 323 | C2×C4 | — | 9 | 6 | no | — |
| 324 | C2×C4 | — | 9 | 6 | no | — |
| 325 | C2×C4 | — | 9 | 2 | no | — |
| 326 | C2×C4 | — | 18 | 3 | no | — |
| 327 | C2×C4 | — | 18 | 1 | no | — |
| 328 | C2×C4 | — | 18 | 12 | no | — |
| 329 | C2×C4 | — | 18 | 3 | no | — |
| 330 | C2×C4 | — | 18 | 3 | no | — |
| 331 | C2×C4 | — | 18 | 1 | no | — |
| 332 | C2×C4 | — | 18 | 1 | no | — |
| 333 | C2×C4 | — | 18 | 3 | no | — |
| 334 | C2×C4 | — | 18 | 3 | no | — |
| 335 | C2×C4 | — | 18 | 3 | no | — |
| 336 | C2×C4 | C2×GO+(4,𝔽2) | 1 | 3 | yes | — |
| 337 | C2×C3 | — | 2 | 1 | no | — |
| 338 | C2×C3 | — | 2 | 1 | no | — |
| 339 | C2×C3 | — | 2 | 1 | no | — |
| 340 | C2×C3 | — | 2 | 1 | no | — |
| 341 | C2×C3 | — | 2 | 1 | no | — |
| 342 | C2×C3 | — | 2 | 1 | no | — |
| 343 | C2×C3 | — | 6 | 4 | no | — |
| 344 | D3 | — | 2 | 4 | no | — |
| 345 | D3 | — | 6 | 1 | no | — |
| 346 | D3 | — | 6 | 1 | no | — |
| 347 | D3 | — | 6 | 1 | no | — |
| 348 | D3 | — | 6 | 1 | no | — |
| 349 | D3 | — | 6 | 1 | no | — |
| 350 | D3 | — | 6 | 1 | no | — |
| 351 | D3 | — | 6 | 1 | no | — |
| 352 | D3 | — | 6 | 1 | no | — |
| 353 | C22 | — | 6 | 2 | no | — |
| 354 | C22 | — | 6 | 2 | no | — |
| 355 | C22 | — | 6 | 2 | no | — |
| 356 | C22 | — | 9 | 4 | no | — |
| 357 | C22 | — | 9 | 1 | no | — |
| 358 | C22 | — | 9 | 1 | no | — |
| 359 | C22 | — | 9 | 1 | no | — |
| 360 | C22 | — | 9 | 1 | no | — |
| 361 | C22 | — | 9 | 1 | no | — |
| 362 | C22 | — | 9 | 1 | no | — |
| 363 | C22 | — | 18 | 2 | no | — |
| 364 | C22 | — | 18 | 2 | no | — |
| 365 | C22 | — | 18 | 2 | no | — |
| 366 | C22 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 367 | C4 | — | 6 | 2 | no | — |
| 368 | C4 | — | 6 | 6 | no | — |
| 369 | C4 | — | 9 | 6 | no | — |
| 370 | C4 | — | 12 | 3 | no | — |
| 371 | C4 | — | 18 | 2 | no | — |
| 372 | C4 | — | 36 | 3 | no | — |
| 373 | C4 | C2×D32⋊C4 | 1 | 6 | yes | — |
| 374 | C3 | — | 2 | 1 | no | — |
| 375 | C3 | — | 2 | 1 | no | — |
| 376 | C2 | — | 6 | 4 | no | — |
| 377 | C2 | — | 9 | 1 | no | — |
| 378 | C2 | — | 9 | 1 | no | — |
| 379 | C2 | — | 9 | 1 | no | — |
| 380 | C2 | — | 9 | 1 | no | — |
| 381 | C2 | Q8×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 382 | C2 | #10596524 | 1 | 1 | yes | characteristic |
| 383 | C2 | C22×D32⋊C4 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×Q8×#157 | C2 | semidirect |
| 3. Q8×#624 | C2 | semidirect |
| 6. #10593342 | C2 | semidirect |
| 7. #10593341 | C2 | semidirect |
| 11. D32×Q8 | C4 | semidirect |
| 53. D32⋊C4 | Q8 | direct (N × H) |
| 88. C2×#157 | C2×Q8 | semidirect |
| 89. C32×Q8 | C22⋊C4 | semidirect |
| 94. #634 | C22⋊C4 | semidirect |
| 106. #624 | C2×Q8 | semidirect |
| 164. D32 | C4×Q8 | semidirect |
| 303. C32 | Q8×C22⋊C4 | semidirect |
| 315. Q8 | D32⋊C4 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D32×Q8 | 2 |
| C2×Q8×#157 | 2 |
| Q8×#624 | 2 |
| #10593403 | 2 |
| C4×D32⋊C4 | 2 |
| #10593342 | 2 |
| #10593341 | 2 |
| Q8×C22⋊C4 | 9 |