Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
112 conjugacy classes of subgroups; only the 23 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 23 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. C3×#329 | C2 | semidirect |
| 3. #4541 | C2 | semidirect |
| 5. #1007 | C4 | semidirect |
| 9. #836 | C4 | semidirect |
| 14. #329 | D3 | semidirect |
| 102. C3 | #1404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #5062 | 2 |
| C3×#329 | 2 |
| #4541 | 2 |
| #1404 | 3 |