Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
408 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 2. C2×C3×#99 | C2 | semidirect |
| 3. C2×#834 | C2 | semidirect |
| 4. C2×#806 | C2 | semidirect |
| 5. C2×#806 | C2 | semidirect |
| 6. #4942 | C2 | semidirect |
| 7. Dic3×C22⋊C4 | C2 | semidirect |
| 10. C22×#67 | C4 | semidirect |
| 15. C2×#217 | C4 | semidirect |
| 22. C2×(C2×D3)⋊C4 | C4 | semidirect |
| 24. C2×Dic3⋊C4 | C4 | semidirect |
| 36. C2×#99 | D3 | semidirect |
| 73. C3×C22⋊C4 | D4 | semidirect |
| 79. #217 | D4 | semidirect |
| 211. C22⋊C4 | #67 | semidirect |
| 249. Dic3 | #99 | semidirect |
| 355. C3 | #1964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#939 | 2 |
| C2×C3×#99 | 2 |
| C2×#834 | 2 |
| C2×#806 | 2 |
| #4942 | 2 |
| Dic3×C22⋊C4 | 2 |
| #1964 | 3 |