Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
354 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. #11927099 | C2 | semidirect |
| 3. #11926850 | C2 | semidirect |
| 4. #11926826 | C2 | semidirect |
| 5. #11926786 | C2 | semidirect |
| 7. #11926765 | C2 | semidirect |
| 8. #11926755 | C2 | semidirect |
| 9. #11926749 | C2 | semidirect |
| 10. C4⋊C8×D19 | C2 | semidirect |
| 11. C19×#474 | C2 | semidirect |
| 133. #474 | D19 | semidirect |
| 176. C19 | #3248 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #11927076 | 2 |
| #11926850 | 2 |
| #11926826 | 2 |
| #11926786 | 2 |
| #11926772 | 2 |
| #11926765 | 2 |
| #11926755 | 2 |
| #11926749 | 2 |
| C4⋊C8×D19 | 2 |
| C19×#474 | 2 |
| #3248 | 19 |