Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
178 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 178 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. #11926896 | C2 | semidirect |
| 2. #11926895 | C2 | semidirect |
| 3. #11926894 | C2 | semidirect |
| 6. C8×C19⋊C8 | C2 | semidirect |
| 88. C19 | #1711 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926896 | 2 |
| #11926895 | 2 |
| #11926894 | 2 |
| #11926890 | 2 |
| C8×C19⋊C8 | 2 |
| C19×#486 | 2 |
| #1711 | 19 |