Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
347 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 347 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 39. C3×Dic12 | C8 | semidirect |
| 105. Dic12 | C3⋊C8 | semidirect |
| 186. C32 | #1579 | semidirect |
| 216. C3 | #68084 | semidirect |
| 217. C3 | #70902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×Dic12 | 2 |
| C3⋊C8×Dic6 | 2 |
| #10589323 | 2 |
| C3×#4455 | 2 |
| #10589084 | 2 |
| #70902 | 3 |
| #68084 | 3 |