Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
120 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 45 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. #11926944 | C2 | semidirect |
| 3. #11926367 | C2 | semidirect |
| 4. #11926366 | C2 | semidirect |
| 5. #11926364 | C2 | semidirect |
| 78. C19 | #2231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926944 | 2 |
| #11926661 | 2 |
| #11926367 | 2 |
| #11926366 | 2 |
| #11926364 | 2 |
| #11926354 | 2 |
| C19×#360 | 2 |
| #2231 | 19 |