Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
220 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 12. #869 | C4 | semidirect |
| 13. #869 | C4 | semidirect |
| 15. C4×Dic6 | C4 | semidirect |
| 151. C3 | #1518 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #5470 | 2 |
| C3×#431 | 2 |
| #4936 | 2 |
| #4467 | 2 |
| #1518 | 3 |