Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 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×#10597364 | C2 | semidirect |
| 2. Q8×D76 | C2 | semidirect |
| 4. #11926923 | C2 | semidirect |
| 5. #11926801 | C2 | semidirect |
| 6. #11926750 | C2 | semidirect |
| 7. #11926709 | C2 | semidirect |
| 8. #11926698 | C2 | semidirect |
| 9. C4×#64527 | C2 | semidirect |
| 10. #11926621 | C2 | semidirect |
| 11. C19×#462 | C2 | semidirect |
| 67. #64527 | D4 | semidirect |
| 124. C4×C19 | #137 | semidirect |
| 135. #462 | D19 | semidirect |
| 176. C19 | #3276 | semidirect |
| 261. C4 | #10597364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597364 | 2 |
| Q8×D76 | 2 |
| #11927197 | 2 |
| #11926923 | 2 |
| #11926801 | 2 |
| #11926750 | 2 |
| #11926709 | 2 |
| #11926698 | 2 |
| C4×#64527 | 2 |
| #11926621 | 2 |
| C19×#462 | 2 |
| #3276 | 19 |