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×#10597361 | C2 | semidirect |
| 2. Q8×D76 | C2 | semidirect |
| 4. #11926924 | C2 | semidirect |
| 5. #11926803 | C2 | semidirect |
| 6. #11926754 | C2 | semidirect |
| 7. #11926749 | C2 | semidirect |
| 8. #11926707 | C2 | semidirect |
| 9. #11926701 | C2 | semidirect |
| 10. #11926623 | C2 | semidirect |
| 11. C4×SD16×C19 | C2 | semidirect |
| 57. SD16×C19 | D4 | semidirect |
| 124. C4×C19 | #137 | semidirect |
| 139. C4×SD16 | D19 | semidirect |
| 176. C19 | #3276 | semidirect |
| 196. SD16 | D76 | semidirect |
| 261. 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 |
| Q8×D76 | 2 |
| #11927198 | 2 |
| #11926924 | 2 |
| #11926803 | 2 |
| #11926754 | 2 |
| #11926749 | 2 |
| #11926707 | 2 |
| #11926701 | 2 |
| #11926623 | 2 |
| C4×SD16×C19 | 2 |
| #3276 | 19 |