Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
814 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 814 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×(C2×D19)⋊C4 | C2 | semidirect |
| 3. C2×C22⋊C4×D19 | C2 | semidirect |
| 4. #11926470 | C2 | semidirect |
| 5. #11926460 | C2 | semidirect |
| 6. #11926424 | C2 | semidirect |
| 7. #11926420 | C2 | semidirect |
| 8. #11926419 | C2 | semidirect |
| 9. #11926407 | C2 | semidirect |
| 10. #11926401 | C2 | semidirect |
| 11. C2×C19×#123 | C2 | semidirect |
| 20. C2×C4⋊C4×C19 | C22 | semidirect |
| 22. C2×C22⋊C4×C19 | C22 | semidirect |
| 25. C2×C22⋊Dic19 | C22 | semidirect |
| 33. C2×C4⋊Dic19 | C22 | semidirect |
| 35. C19⋊#95 | C22 | semidirect |
| 36. C19⋊#95 | C22 | semidirect |
| 37. C19⋊#95 | C22 | semidirect |
| 38. C19⋊#95 | C22 | semidirect |
| 72. C22⋊C4×C19 | D4 | semidirect |
| 159. C2×D19 | #123 | semidirect |
| 167. C2×#123 | D19 | semidirect |
| 197. C2×C4⋊C4 | C2×D19 | semidirect |
| 209. C2×C22⋊C4 | C2×D19 | semidirect |
| 214. C19 | #2412 | semidirect |
| 257. C22⋊C4 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597383 | 2 |
| C22×(C2×D19)⋊C4 | 2 |
| C2×C22⋊C4×D19 | 2 |
| #11926470 | 2 |
| #11926460 | 2 |
| #11926424 | 2 |
| #11926420 | 2 |
| #11926419 | 2 |
| #11926407 | 2 |
| #11926401 | 2 |
| C2×C19×#123 | 2 |
| #2412 | 19 |