Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #11926305 | C2 | semidirect |
| 5. #11926303 | C2 | semidirect |
| 6. #11926300 | C2 | semidirect |
| 7. C19×H(3,ℤ/4) | C2 | semidirect |
| 18. #10597318 | C4 | semidirect |
| 19. C42×D19 | C4 | semidirect |
| 104. H(3,ℤ/4) | D19 | semidirect |
| 125. C19 | #1827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927012 | 2 |
| #11926526 | 2 |
| #11926517 | 2 |
| #11926305 | 2 |
| #11926303 | 2 |
| #11926300 | 2 |
| C19×H(3,ℤ/4) | 2 |
| #1827 | 19 |