Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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. #870 | C4 | semidirect |
| 13. #869 | C4 | semidirect |
| 29. C3×C42 | Q8 | semidirect |
| 73. C42 | Dic6 | semidirect |
| 113. C3 | #1994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #5470 | 2 |
| C3×C43 | 2 |
| #4924 | 2 |
| #4523 | 2 |
| #1994 | 3 |