Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10597396 | C2 | semidirect |
| 2. #11927094 | C2 | semidirect |
| 3. #11926939 | C2 | semidirect |
| 4. #11926936 | C2 | semidirect |
| 5. #11926934 | C2 | semidirect |
| 6. #11926931 | C2 | semidirect |
| 7. C2×#10597260 | C2 | semidirect |
| 8. C19×#532 | C2 | semidirect |
| 55. C2×C19⋊C8 | D4 | semidirect |
| 95. #532 | D19 | semidirect |
| 127. C19 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597396 | 2 |
| #11927094 | 2 |
| #11926939 | 2 |
| #11926936 | 2 |
| #11926934 | 2 |
| #11926931 | 2 |
| C2×#10597260 | 2 |
| C19×#532 | 2 |
| #3150 | 19 |