Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
262 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #11926593 | C2 | semidirect |
| 3. #11926567 | C2 | semidirect |
| 6. #11926303 | C2 | semidirect |
| 7. C19×#344 | C2 | semidirect |
| 18. #10597282 | C4 | semidirect |
| 19. #10597282 | C4 | semidirect |
| 98. #344 | D19 | semidirect |
| 120. C19 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927310 | 2 |
| #11926593 | 2 |
| #11926567 | 2 |
| #11926562 | 2 |
| C2×#10597282 | 2 |
| #11926303 | 2 |
| C19×#344 | 2 |
| #1861 | 19 |