Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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. #11927310 | C2 | semidirect |
| 3. #11926550 | C2 | semidirect |
| 4. #11926548 | C2 | semidirect |
| 5. #11926517 | C2 | semidirect |
| 6. #11926300 | C2 | semidirect |
| 7. C19×H(3,ℤ/4) | C2 | semidirect |
| 20. #10597321 | C4 | semidirect |
| 21. #10597320 | C4 | semidirect |
| 44. C2×C8×C19 | D4 | semidirect |
| 57. C2×C19⋊C8 | D4 | semidirect |
| 116. H(3,ℤ/4) | D19 | semidirect |
| 140. C19 | #1910 | semidirect |
| 165. C2×C8 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927310 | 2 |
| #11927113 | 2 |
| #11926550 | 2 |
| #11926548 | 2 |
| #11926517 | 2 |
| #11926300 | 2 |
| C19×H(3,ℤ/4) | 2 |
| #1910 | 19 |