Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
476 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #11926587 | C2 | semidirect |
| 4. #11926585 | C2 | semidirect |
| 5. #11926579 | C2 | semidirect |
| 6. C2×#10597274 | C2 | semidirect |
| 7. #106×D19 | C2 | semidirect |
| 8. C19×#427 | C2 | semidirect |
| 14. #10597347 | C4 | semidirect |
| 38. C2×C8×C19 | C2×C4 | semidirect |
| 50. #64520 | C2×C4 | semidirect |
| 52. #64515 | C2×C4 | semidirect |
| 53. C8×D19 | C2×C4 | semidirect |
| 92. #427 | D19 | semidirect |
| 119. C19 | #2912 | semidirect |
| 133. C2×C8 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597347 | 2 |
| #11927024 | 2 |
| #11926587 | 2 |
| #11926585 | 2 |
| #11926579 | 2 |
| C2×#10597274 | 2 |
| #106×D19 | 2 |
| C19×#427 | 2 |
| #2912 | 19 |