Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927172 | C2 | semidirect |
| 3. #11926911 | C2 | semidirect |
| 4. #11926905 | C2 | semidirect |
| 5. #11926900 | C2 | semidirect |
| 6. #11926893 | C2 | semidirect |
| 9. C2×#10597292 | C2 | semidirect |
| 10. #11926502 | C2 | semidirect |
| 11. C19×#419 | C2 | semidirect |
| 129. #419 | D19 | semidirect |
| 168. C19 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927172 | 2 |
| #11927118 | 2 |
| #11926911 | 2 |
| #11926905 | 2 |
| #11926900 | 2 |
| #11926893 | 2 |
| #11926546 | 2 |
| #11926538 | 2 |
| C2×#10597292 | 2 |
| #11926502 | 2 |
| C19×#419 | 2 |
| #3137 | 19 |