Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10597336 | C2 | semidirect |
| 3. #11926853 | C2 | semidirect |
| 4. #11926849 | C2 | semidirect |
| 5. #11926846 | C2 | semidirect |
| 6. #11926842 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 8. #11926584 | C2 | semidirect |
| 9. #11926567 | C2 | semidirect |
| 178. C19 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597336 | 2 |
| #41×Dic19 | 2 |
| #11926853 | 2 |
| #11926849 | 2 |
| #11926846 | 2 |
| #11926842 | 2 |
| #11926586 | 2 |
| #11926584 | 2 |
| #11926567 | 2 |
| #11926545 | 2 |
| C19×#417 | 2 |
| #3080 | 19 |