Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10597361 | C2 | semidirect |
| 3. Q8×D76 | C2 | semidirect |
| 4. #11926916 | C2 | semidirect |
| 5. #11926789 | C2 | semidirect |
| 6. #11926755 | C2 | semidirect |
| 7. #11926707 | C2 | semidirect |
| 8. #11926681 | C2 | semidirect |
| 9. C4×#64528 | C2 | semidirect |
| 10. #11926621 | C2 | semidirect |
| 11. C19×#460 | C2 | semidirect |
| 66. #64528 | D4 | semidirect |
| 125. C4×C19 | #137 | semidirect |
| 138. #460 | D19 | semidirect |
| 178. C19 | #3278 | semidirect |
| 265. C4 | #10597361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597361 | 2 |
| #11927214 | 2 |
| Q8×D76 | 2 |
| #11926916 | 2 |
| #11926789 | 2 |
| #11926755 | 2 |
| #11926707 | 2 |
| #11926681 | 2 |
| C4×#64528 | 2 |
| #11926621 | 2 |
| C19×#460 | 2 |
| #3278 | 19 |