Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
280 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×Dic19⋊C8 | C2 | semidirect |
| 3. C2×#10597272 | C2 | semidirect |
| 5. #11926298 | C2 | semidirect |
| 6. #11926298 | C2 | semidirect |
| 145. C19 | #1924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic19⋊C8 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| C2×#10597272 | 2 |
| C4×C22⋊Dic19 | 2 |
| #11926298 | 2 |
| C2×C19×C22⋊C8 | 2 |
| #1924 | 19 |