Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 133 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×#10597336 | C2 | semidirect |
| 3. #11926854 | C2 | semidirect |
| 4. #11926850 | C2 | semidirect |
| 5. #11926847 | C2 | semidirect |
| 6. #11926843 | C2 | semidirect |
| 7. #11926587 | C2 | semidirect |
| 8. #11926567 | C2 | semidirect |
| 11. C19×#428 | C2 | semidirect |
| 138. #428 | D19 | semidirect |
| 178. C19 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597336 | 2 |
| #11927012 | 2 |
| #11926854 | 2 |
| #11926850 | 2 |
| #11926847 | 2 |
| #11926843 | 2 |
| #11926587 | 2 |
| #11926567 | 2 |
| #11926546 | 2 |
| #11926543 | 2 |
| C19×#428 | 2 |
| #3080 | 19 |