Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
246 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×C3⋊(C3⋊C32) | C2 | semidirect |
| 43. C22×C32 | C32 | semidirect |
| 74. C22×C3 | C3⋊C32 | semidirect |
| 79. C32 | C22⋊C32 | semidirect |
| 94. C22 | C3⋊(C3⋊C32) | semidirect |
| 99. C3 | #67803 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C32×C16 | 2 |
| C2×C3⋊(C3⋊C32) | 2 |
| #67803 | 3 |