Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
224 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 17. #10597279 | C4 | semidirect |
| 19. #10597272 | C4 | semidirect |
| 21. #10597265 | C4 | semidirect |
| 22. #10597264 | C4 | semidirect |
| 102. C19 | #1773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597279 | 2 |
| #11926580 | 2 |
| #11926499 | 2 |
| C2×#10597272 | 2 |
| #11926305 | 2 |
| #11926303 | 2 |
| C19×#405 | 2 |
| #1773 | 19 |