Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
200 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 57 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. #11926940 | C2 | semidirect |
| 3. #11926754 | C2 | semidirect |
| 4. #11926290 | C2 | semidirect |
| 5. Q8⋊(C19⋊C8) | C2 | semidirect |
| 113. C19 | #1652 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926940 | 2 |
| #11926824 | 2 |
| #11926754 | 2 |
| #11926290 | 2 |
| Q8⋊(C19⋊C8) | 2 |
| D4⋊(C19⋊C8) | 2 |
| C19×#556 | 2 |
| #1652 | 19 |