Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
186 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 15. #10597275 | C4 | semidirect |
| 16. #10597275 | C4 | semidirect |
| 17. #10597274 | C4 | semidirect |
| 18. #10597274 | C4 | semidirect |
| 111. C19 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926582 | 2 |
| #11926572 | 2 |
| #11926502 | 2 |
| #11926305 | 2 |
| #11926298 | 2 |
| C19×#341 | 2 |
| #1922 | 19 |