Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 2. #11926674 | C2 | semidirect |
| 3. #11926673 | C2 | semidirect |
| 4. #11926672 | C2 | semidirect |
| 5. #11926671 | C2 | semidirect |
| 126. C19 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| #11926674 | 2 |
| #11926673 | 2 |
| #11926672 | 2 |
| #11926671 | 2 |
| #11926605 | 2 |
| #11926602 | 2 |
| #11926598 | 2 |
| C19×#433 | 2 |
| #2987 | 19 |