Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×Q16×D19 | C2 | semidirect |
| 4. #11926923 | C2 | semidirect |
| 5. #11926784 | C2 | semidirect |
| 6. #11926755 | C2 | semidirect |
| 7. #11926701 | C2 | semidirect |
| 8. #11926698 | C2 | semidirect |
| 9. C4×#64528 | C2 | semidirect |
| 11. C19×#462 | C2 | semidirect |
| 66. #64528 | D4 | semidirect |
| 97. D76 | Q16 | semidirect |
| 115. C2×D19 | C2×Q16 | semidirect |
| 120. C4×C19 | C2×Q16 | semidirect |
| 133. #462 | D19 | semidirect |
| 172. C19 | D4×Q16 | semidirect |
| 254. C4 | Q16×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D19 | 2 |
| Q8×D76 | 2 |
| #11927209 | 2 |
| #11926923 | 2 |
| #11926784 | 2 |
| #11926755 | 2 |
| #11926701 | 2 |
| #11926698 | 2 |
| C4×#64528 | 2 |
| #11926609 | 2 |
| C19×#462 | 2 |
| D4×Q16 | 19 |