Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
498 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10597370 | C2 | semidirect |
| 3. #11926484 | C2 | semidirect |
| 4. #11926481 | C2 | semidirect |
| 5. #11926469 | C2 | semidirect |
| 6. #11926465 | C2 | semidirect |
| 8. #11926457 | C2 | semidirect |
| 9. #11926442 | C2 | semidirect |
| 10. #11926435 | C2 | semidirect |
| 11. C4×C22⋊C4×C19 | C2 | semidirect |
| 140. C4×C22⋊C4 | D19 | semidirect |
| 173. C19 | #2663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597375 | 2 |
| C2×#10597370 | 2 |
| #11926484 | 2 |
| #11926481 | 2 |
| #11926469 | 2 |
| #11926465 | 2 |
| #11926460 | 2 |
| #11926457 | 2 |
| #11926442 | 2 |
| #11926435 | 2 |
| C4×C22⋊C4×C19 | 2 |
| #2663 | 19 |