Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
186 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 49 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×D304 | C2 | semidirect |
| 2. C2×#10597283 | C2 | semidirect |
| 3. #11926919 | C2 | semidirect |
| 4. #11926626 | C2 | semidirect |
| 5. Dic19⋊C16 | C2 | semidirect |
| 6. #11926344 | C2 | semidirect |
| 7. C19×#357 | C2 | semidirect |
| 38. D152 | D4 | semidirect |
| 75. Dic19 | D16 | semidirect |
| 82. #357 | D19 | semidirect |
| 102. C19 | #2206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D304 | 2 |
| C2×#10597283 | 2 |
| #11926919 | 2 |
| #11926626 | 2 |
| Dic19⋊C16 | 2 |
| #11926344 | 2 |
| C19×#357 | 2 |
| #2206 | 19 |