Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
496 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 496 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. #11927095 | C2 | semidirect |
| 3. C4×#64545 | C2 | semidirect |
| 4. #11926768 | C2 | semidirect |
| 5. #11926762 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 7. #11926744 | C2 | semidirect |
| 8. #11926740 | C2 | semidirect |
| 9. C4⋊C8×D19 | C2 | semidirect |
| 10. #11926539 | C2 | semidirect |
| 11. C19×#462 | C2 | semidirect |
| 49. #64545 | D4 | semidirect |
| 138. C4×C19 | #135 | semidirect |
| 150. #462 | D19 | semidirect |
| 194. C19 | #3035 | semidirect |
| 292. C4 | #10597365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597365 | 2 |
| #11927095 | 2 |
| C4×#64545 | 2 |
| #11926768 | 2 |
| #11926762 | 2 |
| #11926746 | 2 |
| #11926744 | 2 |
| #11926740 | 2 |
| C4⋊C8×D19 | 2 |
| #11926539 | 2 |
| C19×#462 | 2 |
| #3035 | 19 |