Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #11926553 | C2 | semidirect |
| 5. #11926314 | C2 | semidirect |
| 6. #11926300 | C2 | semidirect |
| 7. C19×#519 | C2 | semidirect |
| 15. C2×#64528 | C4 | semidirect |
| 18. C2×#64527 | C4 | semidirect |
| 106. #519 | D19 | semidirect |
| 134. C19 | #1905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| #11926562 | 2 |
| #11926553 | 2 |
| #11926517 | 2 |
| #11926314 | 2 |
| #11926300 | 2 |
| C19×#519 | 2 |
| #1905 | 19 |