Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
232 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 81 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. #11926586 | C2 | semidirect |
| 4. #11926502 | C2 | semidirect |
| 5. #11926312 | C2 | semidirect |
| 6. #11926308 | C2 | semidirect |
| 15. C19×#100 | C4 | semidirect |
| 121. #100 | Dic19 | semidirect |
| 124. C19 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926586 | 2 |
| #11926549 | 2 |
| C2×#10597289 | 2 |
| #11926502 | 2 |
| #11926312 | 2 |
| #11926308 | 2 |
| C2×C19×#100 | 2 |
| #1931 | 19 |