Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
861 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 861 conjugacy classes of subgroups — too many to draw. Only its 148 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×#64121 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10594684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5147 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10591035 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #10591030 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591026 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10590638 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10590625 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #82035 | — | 3 | 2 | no | maximal |
| 10 | C2×#3830 | — | 2 | 1 | no | — |
| 11 | #64306 | — | 2 | 1 | no | — |
| 12 | C2×C32×D8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C2×#3754 | — | 2 | 1 | no | — |
| 14 | #64121 | — | 2 | 1 | no | — |
| 15 | #64121 | — | 2 | 1 | no | — |
| 16 | #64121 | C22 | 1 | 2 | yes | — |
| 17 | #64121 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#3746 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#904 | C22 | 1 | 2 | yes | — |
| 21 | #63822 | — | 2 | 1 | no | — |
| 22 | #63810 | C22 | 1 | 2 | yes | complemented |
| 23 | #63809 | — | 2 | 1 | no | — |
| 24 | #63802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #63797 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #63796 | — | 2 | 1 | no | — |
| 27 | C3×#827 | C22 | 1 | 4 | yes | complemented |
| 28 | C3×#826 | C22 | 1 | 4 | yes | complemented |
| 29 | C3×#812 | C22 | 1 | 2 | yes | complemented |
| 30 | #63551 | C22 | 1 | 4 | yes | complemented |
| 31 | #63548 | C22 | 1 | 4 | yes | complemented |
| 32 | #63544 | C22 | 1 | 2 | yes | complemented |
| 33 | #63542 | C22 | 1 | 2 | yes | complemented |
| 34 | D3×#135 | — | 3 | 2 | no | — |
| 35 | C2×#912 | — | 3 | 2 | no | — |
| 36 | C2×#912 | — | 6 | 1 | no | — |
| 37 | C3×#509 | — | 3 | 2 | no | — |
| 38 | #5195 | — | 3 | 2 | no | — |
| 39 | #5147 | D3 | 1 | 2 | yes | complemented |
| 40 | #4916 | — | 3 | 4 | no | — |
| 41 | #4915 | — | 3 | 4 | no | — |
| 42 | #4912 | — | 3 | 4 | no | — |
| 43 | #4911 | — | 3 | 4 | no | — |
| 44 | #4909 | — | 3 | 2 | no | — |
| 45 | D3×M32 | — | 3 | 2 | no | — |
| 46 | C2×C32×D4 | — | 2 | 1 | no | — |
| 47 | C2×#638 | — | 4 | 1 | no | — |
| 48 | C22×C3⋊Dic3 | — | 4 | 1 | no | — |
| 49 | #3830 | — | 2 | 2 | no | — |
| 50 | #3830 | — | 2 | 2 | no | — |
| 51 | #3830 | — | 4 | 1 | no | — |
| 52 | #3830 | — | 4 | 1 | no | — |
| 53 | C2×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 54 | C2×#634 | — | 2 | 1 | no | — |
| 55 | C3×#235 | — | 2 | 2 | no | — |
| 56 | #3811 | — | 4 | 1 | no | — |
| 57 | #3805 | — | 4 | 1 | no | — |
| 58 | #3802 | — | 2 | 1 | no | — |
| 59 | C4×D32 | — | 4 | 1 | no | — |
| 60 | #3798 | — | 4 | 1 | no | — |
| 61 | #3797 | — | 2 | 1 | no | — |
| 62 | #3796 | — | 2 | 2 | no | — |
| 63 | C32×D8 | — | 2 | 1 | no | — |
| 64 | C32×D8 | C23 | 1 | 2 | yes | — |
| 65 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 66 | #3754 | — | 2 | 2 | no | — |
| 67 | #3754 | — | 2 | 2 | no | — |
| 68 | C2×C3⋊(C3⋊C8) | D4 | 1 | 1 | yes | characteristic |
| 69 | #3746 | — | 2 | 1 | no | — |
| 70 | #3746 | C23 | 1 | 2 | yes | — |
| 71 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 72 | C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 73 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 74 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 75 | C3×Dic12 | C23 | 1 | 2 | yes | — |
| 76 | C3×D24 | C23 | 1 | 2 | yes | — |
| 77 | C3×#204 | — | 2 | 2 | no | — |
| 78 | #3718 | — | 2 | 1 | no | — |
| 79 | #3715 | — | 2 | 2 | no | — |
| 80 | #3713 | — | 2 | 1 | no | — |
| 81 | C3×C3⋊C16 | C23 | 1 | 4 | yes | — |
| 82 | #3414 | — | 9 | 1 | no | Sylow |
| 83 | D3×#41 | — | 6 | 2 | no | — |
| 84 | C2×#237 | — | 6 | 2 | no | — |
| 85 | C2×#237 | — | 6 | 2 | no | — |
| 86 | C3×#135 | — | 3 | 2 | no | — |
| 87 | C2×C3×D8 | — | 2 | 1 | no | — |
| 88 | C2×C3×D8 | C2×D3 | 1 | 2 | yes | complemented |
| 89 | #950 | — | 6 | 2 | no | — |
| 90 | C2×#214 | — | 6 | 2 | no | — |
| 91 | C2×#214 | — | 6 | 2 | no | — |
| 92 | #919 | — | 3 | 2 | no | — |
| 93 | D3×Q16 | — | 3 | 2 | no | — |
| 94 | #916 | — | 6 | 2 | no | — |
| 95 | D3×SD16 | — | 6 | 2 | no | — |
| 96 | #912 | — | 3 | 4 | no | — |
| 97 | #912 | — | 3 | 4 | no | — |
| 98 | #912 | — | 3 | 2 | no | — |
| 99 | #912 | — | 6 | 2 | no | — |
| 100 | #912 | — | 6 | 2 | no | — |
| 101 | #912 | — | 6 | 2 | no | — |
| 102 | #912 | — | 6 | 2 | no | — |
| 103 | #912 | — | 6 | 2 | no | — |
| 104 | #912 | — | 6 | 2 | no | — |
| 105 | D3×D8 | — | 3 | 2 | no | — |
| 106 | C2×Dic12 | — | 3 | 2 | no | — |
| 107 | C2×Dic12 | — | 6 | 1 | no | — |
| 108 | #904 | C2×D3 | 1 | 2 | yes | — |
| 109 | C2×D3×C8 | — | 3 | 2 | no | — |
| 110 | C2×D3×C8 | — | 6 | 1 | no | — |
| 111 | C3×SD32 | — | 3 | 4 | no | — |
| 112 | C3×D16 | — | 3 | 4 | no | — |
| 113 | C3×M32 | — | 3 | 2 | no | — |
| 114 | #829 | — | 3 | 4 | no | — |
| 115 | #827 | — | 3 | 4 | no | — |
| 116 | #827 | C2×D3 | 1 | 4 | yes | complemented |
| 117 | #826 | C2×D3 | 1 | 4 | yes | complemented |
| 118 | #812 | C2×D3 | 1 | 2 | yes | complemented |
| 119 | Dic24 | — | 3 | 4 | no | — |
| 120 | #800 | — | 3 | 4 | no | — |
| 121 | #798 | — | 3 | 4 | no | — |
| 122 | D3×C16 | — | 3 | 4 | no | — |
| 123 | C23×C32 | — | 4 | 1 | no | — |
| 124 | C22×C3⋊D3 | D8 | 1 | 1 | yes | characteristic |
| 125 | C2×D32 | — | 4 | 1 | no | — |
| 126 | C32×D4 | — | 2 | 2 | no | — |
| 127 | C32×D4 | — | 4 | 1 | no | — |
| 128 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | #638 | — | 4 | 2 | no | — |
| 130 | #638 | — | 4 | 2 | no | — |
| 131 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 132 | C2×C3⋊Dic3 | — | 4 | 2 | no | — |
| 133 | C2×C3⋊Dic3 | — | 4 | 2 | no | — |
| 134 | C2×C3⋊Dic3 | D8 | 1 | 1 | yes | characteristic |
| 135 | C4×C3⋊D3 | D8 | 1 | 1 | yes | characteristic |
| 136 | C4×C3⋊D3 | D8 | 1 | 1 | yes | characteristic |
| 137 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | #634 | — | 2 | 2 | no | — |
| 140 | #634 | — | 4 | 1 | no | — |
| 141 | C3×#67 | — | 4 | 2 | no | — |
| 142 | C3×D12 | — | 2 | 2 | no | — |
| 143 | C3×C4×D3 | — | 4 | 2 | no | — |
| 144 | C3×Dic6 | — | 2 | 2 | no | — |
| 145 | #627 | — | 4 | 1 | no | — |
| 146 | #626 | — | 4 | 2 | no | — |
| 147 | #625 | — | 4 | 1 | no | — |
| 148 | #624 | — | 4 | 1 | no | — |
| 149 | D3×Dic3 | — | 4 | 2 | no | — |
| 150 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 152 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×#135 | — | 9 | 1 | no | — |
| 155 | C2×#135 | — | 9 | 1 | no | — |
| 156 | #510 | — | 9 | 2 | no | — |
| 157 | #510 | — | 9 | 2 | no | — |
| 158 | #509 | — | 3 | 2 | no | — |
| 159 | #509 | — | 9 | 2 | no | — |
| 160 | #508 | — | 9 | 4 | no | — |
| 161 | C2×M32 | — | 9 | 1 | no | — |
| 162 | C3×#41 | — | 6 | 2 | no | — |
| 163 | C2×C3×D4 | — | 2 | 2 | no | — |
| 164 | C2×C3×D4 | — | 2 | 2 | no | — |
| 165 | C2×#67 | — | 12 | 2 | no | — |
| 166 | C2×#67 | — | 12 | 2 | no | — |
| 167 | C22×Dic3 | — | 12 | 2 | no | — |
| 168 | C22×Dic3 | — | 12 | 2 | no | — |
| 169 | #239 | — | 6 | 2 | no | — |
| 170 | D3×Q8 | — | 6 | 2 | no | — |
| 171 | #237 | — | 6 | 2 | no | — |
| 172 | #237 | — | 6 | 4 | no | — |
| 173 | #237 | — | 6 | 4 | no | — |
| 174 | #237 | — | 6 | 4 | no | — |
| 175 | #237 | — | 6 | 4 | no | — |
| 176 | #237 | — | 12 | 2 | no | — |
| 177 | #237 | — | 12 | 2 | no | — |
| 178 | #237 | — | 12 | 2 | no | — |
| 179 | #237 | — | 12 | 2 | no | — |
| 180 | #237 | — | 12 | 2 | no | — |
| 181 | D3×D4 | — | 6 | 2 | no | — |
| 182 | D3×D4 | — | 12 | 2 | no | — |
| 183 | #235 | — | 2 | 2 | no | — |
| 184 | #235 | — | 12 | 2 | no | — |
| 185 | C2×C4×D3 | — | 3 | 2 | no | — |
| 186 | C2×C4×D3 | — | 6 | 1 | no | — |
| 187 | C2×C4×D3 | — | 12 | 2 | no | — |
| 188 | C2×Dic6 | — | 6 | 2 | no | — |
| 189 | C2×Dic6 | — | 6 | 2 | no | — |
| 190 | C3×Q16 | — | 3 | 2 | no | — |
| 191 | C3×SD16 | — | 6 | 2 | no | — |
| 192 | C3×D8 | — | 2 | 2 | no | — |
| 193 | C3×D8 | — | 2 | 2 | no | — |
| 194 | C3×D8 | — | 2 | 2 | no | — |
| 195 | C3×D8 | — | 3 | 2 | no | — |
| 196 | C3×D8 | C22×D3 | 1 | 4 | yes | — |
| 197 | C2×C3×C8 | — | 2 | 1 | no | — |
| 198 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 199 | #216 | — | 6 | 2 | no | — |
| 200 | #215 | — | 6 | 2 | no | — |
| 201 | #214 | — | 6 | 2 | no | — |
| 202 | #214 | — | 6 | 4 | no | — |
| 203 | #214 | — | 6 | 4 | no | — |
| 204 | #214 | — | 6 | 4 | no | — |
| 205 | #214 | — | 6 | 4 | no | — |
| 206 | #213 | — | 6 | 2 | no | — |
| 207 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 208 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 209 | Dic12 | — | 3 | 4 | no | — |
| 210 | Dic12 | — | 6 | 2 | no | — |
| 211 | Dic12 | — | 6 | 2 | no | — |
| 212 | Dic12 | — | 6 | 2 | no | — |
| 213 | Dic12 | C22×D3 | 1 | 2 | yes | — |
| 214 | D24 | C22×D3 | 1 | 2 | yes | — |
| 215 | #204 | — | 2 | 2 | no | — |
| 216 | D3×C8 | — | 3 | 2 | no | — |
| 217 | D3×C8 | — | 3 | 2 | no | — |
| 218 | D3×C8 | — | 3 | 2 | no | — |
| 219 | D3×C8 | — | 3 | 2 | no | — |
| 220 | D3×C8 | — | 6 | 1 | no | — |
| 221 | D3×C8 | — | 6 | 1 | no | — |
| 222 | D3×C8 | — | 6 | 1 | no | — |
| 223 | D3×C8 | — | 6 | 1 | no | — |
| 224 | C3×C16 | — | 3 | 4 | no | — |
| 225 | C3⋊C16 | C22×D3 | 1 | 4 | yes | — |
| 226 | C22×C32 | — | 4 | 2 | no | — |
| 227 | C22×C32 | — | 8 | 2 | no | — |
| 228 | C22×C32 | C2×D8 | 1 | 1 | yes | characteristic |
| 229 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 230 | C2×C3⋊D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 231 | C2×C3⋊D3 | C2×D8 | 1 | 1 | yes | characteristic |
| 232 | C2×C3×D3 | — | 4 | 2 | no | — |
| 233 | D32 | — | 8 | 2 | no | — |
| 234 | C32×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 235 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 236 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 237 | C3⋊Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 238 | C3⋊Dic3 | C2×D8 | 1 | 1 | yes | characteristic |
| 239 | C3×Dic3 | — | 4 | 2 | no | — |
| 240 | C2×#41 | — | 18 | 1 | no | — |
| 241 | C2×#41 | — | 18 | 1 | no | — |
| 242 | #135 | — | 3 | 2 | no | — |
| 243 | #135 | — | 9 | 2 | no | — |
| 244 | #135 | — | 9 | 2 | no | — |
| 245 | #135 | — | 9 | 2 | no | — |
| 246 | #135 | — | 18 | 1 | no | — |
| 247 | #135 | — | 18 | 1 | no | — |
| 248 | #135 | — | 18 | 1 | no | — |
| 249 | #135 | — | 18 | 1 | no | — |
| 250 | C2×Q16 | — | 9 | 1 | no | — |
| 251 | C2×Q16 | — | 9 | 1 | no | — |
| 252 | C2×SD16 | — | 18 | 1 | no | — |
| 253 | C2×SD16 | — | 18 | 1 | no | — |
| 254 | C2×D8 | — | 9 | 1 | no | — |
| 255 | C2×D8 | D32 | 1 | 1 | yes | characteristic, complemented |
| 256 | C22×C8 | — | 9 | 1 | no | — |
| 257 | Q32 | — | 9 | 4 | no | — |
| 258 | SD32 | — | 3 | 4 | no | — |
| 259 | SD32 | — | 9 | 4 | no | — |
| 260 | D16 | — | 3 | 4 | no | — |
| 261 | M32 | — | 3 | 2 | no | — |
| 262 | M32 | — | 9 | 2 | no | — |
| 263 | C2×C16 | — | 9 | 2 | no | — |
| 264 | C23×C3 | — | 4 | 2 | no | — |
| 265 | C23×C3 | — | 4 | 2 | no | — |
| 266 | C22×D3 | — | 3 | 2 | no | — |
| 267 | C22×D3 | — | 6 | 1 | no | — |
| 268 | C22×D3 | — | 12 | 2 | no | — |
| 269 | C3×Q8 | — | 6 | 2 | no | — |
| 270 | C3×D4 | — | 2 | 4 | no | — |
| 271 | C3×D4 | — | 2 | 4 | no | — |
| 272 | C3×D4 | — | 4 | 2 | no | — |
| 273 | C3×D4 | — | 4 | 2 | no | — |
| 274 | C3×D4 | — | 6 | 2 | no | — |
| 275 | C3×D4 | — | 12 | 2 | no | — |
| 276 | C2×C3×C4 | — | 2 | 1 | no | — |
| 277 | C2×C3×C4 | — | 12 | 2 | no | — |
| 278 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 279 | #67 | — | 4 | 2 | no | — |
| 280 | #67 | — | 12 | 2 | no | — |
| 281 | #67 | — | 12 | 2 | no | — |
| 282 | #67 | — | 12 | 4 | no | — |
| 283 | #67 | — | 12 | 4 | no | — |
| 284 | #67 | — | 12 | 4 | no | — |
| 285 | #67 | — | 12 | 4 | no | — |
| 286 | C2×Dic3 | — | 3 | 2 | no | — |
| 287 | C2×Dic3 | — | 6 | 1 | no | — |
| 288 | C2×Dic3 | — | 12 | 2 | no | — |
| 289 | C2×Dic3 | — | 12 | 4 | no | — |
| 290 | C2×Dic3 | — | 12 | 4 | no | — |
| 291 | C2×Dic3 | — | 12 | 4 | no | — |
| 292 | C2×Dic3 | — | 12 | 4 | no | — |
| 293 | C2×Dic3 | — | 12 | 2 | no | — |
| 294 | C2×Dic3 | — | 12 | 2 | no | — |
| 295 | D12 | — | 2 | 2 | no | — |
| 296 | D12 | — | 12 | 2 | no | — |
| 297 | C4×D3 | — | 3 | 2 | no | — |
| 298 | C4×D3 | — | 3 | 2 | no | — |
| 299 | C4×D3 | — | 3 | 2 | no | — |
| 300 | C4×D3 | — | 3 | 2 | no | — |
| 301 | C4×D3 | — | 4 | 2 | no | — |
| 302 | C4×D3 | — | 6 | 1 | no | — |
| 303 | C4×D3 | — | 6 | 1 | no | — |
| 304 | C4×D3 | — | 6 | 1 | no | — |
| 305 | C4×D3 | — | 6 | 1 | no | — |
| 306 | C4×D3 | — | 12 | 2 | no | — |
| 307 | C4×D3 | — | 12 | 2 | no | — |
| 308 | Dic6 | — | 2 | 2 | no | — |
| 309 | Dic6 | — | 6 | 4 | no | — |
| 310 | Dic6 | — | 6 | 4 | no | — |
| 311 | Dic6 | — | 12 | 2 | no | — |
| 312 | Dic6 | — | 12 | 2 | no | — |
| 313 | Dic6 | — | 12 | 2 | no | — |
| 314 | C3×C8 | — | 2 | 1 | no | — |
| 315 | C3×C8 | — | 2 | 1 | no | — |
| 316 | C3×C8 | D3×D4 | 1 | 2 | yes | — |
| 317 | C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 318 | C3⋊C8 | — | 3 | 2 | no | — |
| 319 | C3⋊C8 | — | 3 | 2 | no | — |
| 320 | C3⋊C8 | — | 6 | 1 | no | — |
| 321 | C3⋊C8 | — | 6 | 1 | no | — |
| 322 | C2×C32 | — | 2 | 1 | no | — |
| 323 | C2×C32 | — | 8 | 2 | no | — |
| 324 | C2×C32 | C22×D8 | 1 | 1 | yes | characteristic |
| 325 | C3⋊D3 | — | 2 | 1 | no | — |
| 326 | C3⋊D3 | — | 2 | 1 | no | — |
| 327 | C3×D3 | — | 8 | 2 | no | — |
| 328 | #41 | — | 6 | 2 | no | — |
| 329 | #41 | — | 18 | 2 | no | — |
| 330 | #41 | — | 18 | 2 | no | — |
| 331 | #41 | — | 18 | 2 | no | — |
| 332 | #41 | — | 36 | 1 | no | — |
| 333 | #41 | — | 36 | 1 | no | — |
| 334 | #41 | — | 36 | 1 | no | — |
| 335 | #41 | — | 36 | 1 | no | — |
| 336 | C2×Q8 | — | 18 | 1 | no | — |
| 337 | C2×Q8 | — | 18 | 1 | no | — |
| 338 | C2×D4 | — | 2 | 1 | no | — |
| 339 | C2×D4 | — | 18 | 1 | no | — |
| 340 | C2×D4 | — | 36 | 1 | no | — |
| 341 | C2×D4 | — | 36 | 1 | no | — |
| 342 | C22×C4 | — | 9 | 1 | no | — |
| 343 | C22×C4 | — | 36 | 1 | no | — |
| 344 | C22×C4 | — | 36 | 1 | no | — |
| 345 | Q16 | — | 3 | 2 | no | — |
| 346 | Q16 | — | 9 | 2 | no | — |
| 347 | Q16 | — | 18 | 1 | no | — |
| 348 | Q16 | — | 18 | 1 | no | — |
| 349 | SD16 | — | 6 | 2 | no | — |
| 350 | SD16 | — | 18 | 2 | no | — |
| 351 | SD16 | — | 18 | 2 | no | — |
| 352 | SD16 | — | 18 | 2 | no | — |
| 353 | D8 | — | 2 | 1 | no | — |
| 354 | D8 | — | 3 | 2 | no | — |
| 355 | D8 | — | 18 | 1 | no | — |
| 356 | D8 | C2×D32 | 1 | 2 | yes | — |
| 357 | C2×C8 | — | 9 | 1 | no | — |
| 358 | C2×C8 | — | 9 | 1 | no | — |
| 359 | C2×C8 | — | 9 | 1 | no | — |
| 360 | C2×C8 | — | 9 | 1 | no | — |
| 361 | C2×C8 | — | 9 | 1 | no | — |
| 362 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 363 | C16 | — | 3 | 4 | no | — |
| 364 | C22×C3 | — | 2 | 1 | no | — |
| 365 | C22×C3 | — | 4 | 4 | no | — |
| 366 | C22×C3 | — | 4 | 4 | no | — |
| 367 | C22×C3 | — | 8 | 4 | no | — |
| 368 | C22×C3 | — | 8 | 4 | no | — |
| 369 | C22×C3 | — | 12 | 2 | no | — |
| 370 | C22×C3 | D3×D8 | 1 | 2 | yes | — |
| 371 | C2×D3 | — | 3 | 2 | no | — |
| 372 | C2×D3 | — | 3 | 2 | no | — |
| 373 | C2×D3 | — | 4 | 2 | no | — |
| 374 | C2×D3 | — | 6 | 1 | no | — |
| 375 | C2×D3 | — | 6 | 1 | no | — |
| 376 | C2×D3 | — | 12 | 2 | no | — |
| 377 | C2×D3 | — | 12 | 2 | no | — |
| 378 | C2×D3 | — | 24 | 4 | no | — |
| 379 | C3×C4 | — | 2 | 1 | no | — |
| 380 | C3×C4 | — | 2 | 1 | no | — |
| 381 | C3×C4 | — | 12 | 2 | no | — |
| 382 | C3×C4 | D3×D8 | 1 | 2 | yes | — |
| 383 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 384 | Dic3 | — | 3 | 2 | no | — |
| 385 | Dic3 | — | 3 | 2 | no | — |
| 386 | Dic3 | — | 4 | 2 | no | — |
| 387 | Dic3 | — | 6 | 1 | no | — |
| 388 | Dic3 | — | 6 | 1 | no | — |
| 389 | Dic3 | — | 12 | 4 | no | — |
| 390 | Dic3 | — | 12 | 4 | no | — |
| 391 | C32 | #3414 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 392 | C23 | — | 4 | 1 | no | — |
| 393 | C23 | — | 9 | 1 | no | — |
| 394 | C23 | — | 36 | 1 | no | — |
| 395 | Q8 | — | 6 | 2 | no | — |
| 396 | Q8 | — | 18 | 2 | no | — |
| 397 | Q8 | — | 36 | 1 | no | — |
| 398 | Q8 | — | 36 | 1 | no | — |
| 399 | D4 | — | 2 | 2 | no | — |
| 400 | D4 | — | 4 | 1 | no | — |
| 401 | D4 | — | 6 | 2 | no | — |
| 402 | D4 | — | 12 | 2 | no | — |
| 403 | D4 | — | 36 | 1 | no | — |
| 404 | D4 | — | 36 | 2 | no | — |
| 405 | D4 | — | 36 | 2 | no | — |
| 406 | D4 | — | 36 | 2 | no | — |
| 407 | C2×C4 | — | 9 | 1 | no | — |
| 408 | C2×C4 | — | 9 | 1 | no | — |
| 409 | C2×C4 | — | 9 | 1 | no | — |
| 410 | C2×C4 | — | 9 | 1 | no | — |
| 411 | C2×C4 | — | 9 | 1 | no | — |
| 412 | C2×C4 | — | 12 | 2 | no | — |
| 413 | C2×C4 | — | 36 | 2 | no | — |
| 414 | C2×C4 | — | 36 | 2 | no | — |
| 415 | C2×C4 | — | 36 | 2 | no | — |
| 416 | C2×C4 | — | 36 | 1 | no | — |
| 417 | C2×C4 | — | 36 | 1 | no | — |
| 418 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 419 | C8 | — | 9 | 1 | no | — |
| 420 | C8 | — | 9 | 1 | no | — |
| 421 | C8 | #3811 | 1 | 1 | yes | characteristic |
| 422 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 423 | C2×C3 | — | 2 | 2 | no | — |
| 424 | C2×C3 | — | 2 | 2 | no | — |
| 425 | C2×C3 | — | 2 | 1 | no | — |
| 426 | C2×C3 | — | 8 | 4 | no | — |
| 427 | C2×C3 | — | 8 | 4 | no | — |
| 428 | C2×C3 | — | 24 | 2 | no | — |
| 429 | C2×C3 | C2×D3×D8 | 1 | 2 | yes | — |
| 430 | D3 | — | 6 | 2 | no | — |
| 431 | D3 | — | 6 | 2 | no | — |
| 432 | D3 | — | 8 | 2 | no | — |
| 433 | D3 | — | 12 | 1 | no | — |
| 434 | D3 | — | 12 | 1 | no | — |
| 435 | C22 | — | 4 | 2 | no | — |
| 436 | C22 | — | 8 | 2 | no | — |
| 437 | C22 | — | 9 | 1 | no | — |
| 438 | C22 | — | 9 | 1 | no | — |
| 439 | C22 | — | 12 | 2 | no | — |
| 440 | C22 | — | 36 | 1 | no | — |
| 441 | C22 | — | 72 | 2 | no | — |
| 442 | C22 | #63926 | 1 | 1 | yes | characteristic |
| 443 | C4 | — | 9 | 1 | no | — |
| 444 | C4 | — | 9 | 1 | no | — |
| 445 | C4 | — | 12 | 2 | no | — |
| 446 | C4 | — | 36 | 2 | no | — |
| 447 | C4 | #63926 | 1 | 1 | yes | characteristic |
| 448 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 449 | C3 | — | 2 | 1 | no | — |
| 450 | C3 | #82035 | 1 | 2 | yes | complemented |
| 451 | C2 | — | 2 | 1 | no | — |
| 452 | C2 | — | 8 | 2 | no | — |
| 453 | C2 | — | 18 | 1 | no | — |
| 454 | C2 | — | 18 | 1 | no | — |
| 455 | C2 | — | 24 | 2 | no | — |
| 456 | C2 | C2×#63926 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#64121 | C2 | semidirect |
| 2. #10594684 | C2 | semidirect |
| 3. C3×#5147 | C2 | semidirect |
| 4. #10591035 | C2 | semidirect |
| 5. #10591030 | C2 | semidirect |
| 6. #10591026 | C2 | semidirect |
| 7. #10590638 | C2 | semidirect |
| 8. #10590625 | C2 | semidirect |
| 12. C2×C32×D8 | C22 | semidirect |
| 17. #64121 | C22 | semidirect |
| 18. C2×#3746 | C22 | semidirect |
| 22. #63810 | C22 | semidirect |
| 24. #63802 | C22 | semidirect |
| 25. #63797 | C22 | semidirect |
| 27. C3×#827 | C22 | semidirect |
| 28. C3×#826 | C22 | semidirect |
| 29. C3×#812 | C22 | semidirect |
| 30. #63551 | C22 | semidirect |
| 31. #63548 | C22 | semidirect |
| 32. #63544 | C22 | semidirect |
| 33. #63542 | C22 | semidirect |
| 39. #5147 | D3 | semidirect |
| 88. C2×C3×D8 | C2×D3 | semidirect |
| 116. #827 | C2×D3 | semidirect |
| 117. #826 | C2×D3 | semidirect |
| 118. #812 | C2×D3 | semidirect |
| 255. C2×D8 | D32 | semidirect |
| 391. C32 | #3414 | semidirect |
| 450. C3 | #82035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64121 | 2 |
| #10594684 | 2 |
| C3×#5147 | 2 |
| #10591035 | 2 |
| #10591030 | 2 |
| #10591026 | 2 |
| #10590638 | 2 |
| #10590625 | 2 |
| #82035 | 3 |