Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 83 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. #11926554 | C2 | semidirect |
| 4. #11926552 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C19×#339 | C2 | semidirect |
| 19. #10597321 | C4 | semidirect |
| 40. C2×Dic38 | C2×C4 | semidirect |
| 48. C42×C19 | C2×C4 | semidirect |
| 109. #339 | D19 | semidirect |
| 131. C19 | #1885 | semidirect |
| 164. C42 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597321 | 2 |
| #11927018 | 2 |
| #11926554 | 2 |
| #11926552 | 2 |
| C2×#10597280 | 2 |
| #11926304 | 2 |
| C19×#339 | 2 |
| #1885 | 19 |