Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
210 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11926592 | C2 | semidirect |
| 2. #11926572 | C2 | semidirect |
| 3. #11926571 | C2 | semidirect |
| 6. #11926300 | C2 | semidirect |
| 110. C19 | #2098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926592 | 2 |
| #11926572 | 2 |
| #11926571 | 2 |
| #11926561 | 2 |
| #11926511 | 2 |
| #11926300 | 2 |
| C19×#421 | 2 |
| #2098 | 19 |