Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
232 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 77 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. #11926587 | C2 | semidirect |
| 5. #11926312 | C2 | semidirect |
| 6. #11926309 | C2 | semidirect |
| 7. C19×#405 | C2 | semidirect |
| 17. #10597280 | C4 | semidirect |
| 99. #405 | D19 | semidirect |
| 124. C19 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926587 | 2 |
| #11926548 | 2 |
| C2×#10597278 | 2 |
| C2×#10597280 | 2 |
| #11926312 | 2 |
| #11926309 | 2 |
| C19×#405 | 2 |
| #1931 | 19 |