Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
280 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 55 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. #100×D19 | C2 | semidirect |
| 3. #99×D19 | C2 | semidirect |
| 4. #11926334 | C2 | semidirect |
| 5. #11926332 | C2 | semidirect |
| 6. #11926330 | C2 | semidirect |
| 7. C19×#352 | C2 | semidirect |
| 9. C22×D76 | C4 | semidirect |
| 12. #10597375 | C4 | semidirect |
| 18. #10597328 | C4 | semidirect |
| 20. C22⋊C4×D19 | C4 | semidirect |
| 28. C23×D19 | C2×C4 | semidirect |
| 31. C22×C4×C19 | C2×C4 | semidirect |
| 50. C22⋊C4×C19 | C2×C4 | semidirect |
| 52. C22⋊Dic19 | C2×C4 | semidirect |
| 131. #352 | D19 | semidirect |
| 162. C19 | #2121 | semidirect |
| 181. C22×C4 | C4×D19 | semidirect |
| 197. C22⋊C4 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927105 | 2 |
| #100×D19 | 2 |
| #99×D19 | 2 |
| #11926334 | 2 |
| #11926332 | 2 |
| #11926330 | 2 |
| C19×#352 | 2 |
| #2121 | 19 |