Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
632 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 632 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 |
|---|---|---|
| 1. C2×#10597375 | C2 | semidirect |
| 3. C22×C4⋊Dic19 | C2 | semidirect |
| 4. #11926477 | C2 | semidirect |
| 5. #11926467 | C2 | semidirect |
| 6. #11926466 | C2 | semidirect |
| 7. #11926460 | C2 | semidirect |
| 8. #11926424 | C2 | semidirect |
| 9. #11926421 | C2 | semidirect |
| 10. #11926402 | C2 | semidirect |
| 11. C2×C19×#123 | C2 | semidirect |
| 47. C22×C4×C19 | D4 | semidirect |
| 153. C2×#123 | D19 | semidirect |
| 198. C19 | #2618 | semidirect |
| 221. C22×C4 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597375 | 2 |
| C2×#10597385 | 2 |
| C22×C4⋊Dic19 | 2 |
| #11926477 | 2 |
| #11926467 | 2 |
| #11926466 | 2 |
| #11926460 | 2 |
| #11926424 | 2 |
| #11926421 | 2 |
| #11926402 | 2 |
| C2×C19×#123 | 2 |
| #2618 | 19 |