Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
484 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 145 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×#10597355 | C2 | semidirect |
| 3. C2×C4×Dic38 | C2 | semidirect |
| 4. #11926767 | C2 | semidirect |
| 5. #11926755 | C2 | semidirect |
| 6. #11926745 | C2 | semidirect |
| 7. #11926546 | C2 | semidirect |
| 8. C19×#423 | C2 | semidirect |
| 48. C2×Dic38 | D4 | semidirect |
| 110. C4×C19 | #137 | semidirect |
| 122. #423 | D19 | semidirect |
| 154. C19 | #3037 | semidirect |
| 233. C4 | #10597355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| #11927094 | 2 |
| C2×C4×Dic38 | 2 |
| #11926767 | 2 |
| #11926755 | 2 |
| #11926745 | 2 |
| #11926546 | 2 |
| C19×#423 | 2 |
| #3037 | 19 |