Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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×#10597365 | C2 | semidirect |
| 2. C2×Q16×D19 | C2 | semidirect |
| 3. #11927206 | C2 | semidirect |
| 4. #11926928 | C2 | semidirect |
| 5. #11926786 | C2 | semidirect |
| 6. #11926781 | C2 | semidirect |
| 7. #11926766 | C2 | semidirect |
| 8. #11926709 | C2 | semidirect |
| 9. #11926684 | C2 | semidirect |
| 10. C8×D76 | C2 | semidirect |
| 11. C4×Q16×C19 | C2 | semidirect |
| 56. Q16×C19 | D4 | semidirect |
| 121. C2×D19 | #135 | semidirect |
| 140. C4×Q16 | D19 | semidirect |
| 177. C19 | #3285 | semidirect |
| 195. Q16 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597365 | 2 |
| C2×Q16×D19 | 2 |
| #11927206 | 2 |
| #11926928 | 2 |
| #11926786 | 2 |
| #11926781 | 2 |
| #11926766 | 2 |
| #11926709 | 2 |
| #11926684 | 2 |
| C8×D76 | 2 |
| C4×Q16×C19 | 2 |
| #3285 | 19 |