Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
388 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10597272 | C2 | semidirect |
| 4. C4⋊C4×Dic19 | C2 | semidirect |
| 5. #11926307 | C2 | semidirect |
| 6. #11926306 | C2 | semidirect |
| 14. D4×Dic19 | C4 | semidirect |
| 20. C19×#102 | C4 | semidirect |
| 21. #10597289 | C4 | semidirect |
| 42. C2×C8×C19 | C2×C4 | semidirect |
| 44. C4⋊C4×C19 | C2×C4 | semidirect |
| 49. C4⋊Dic19 | C2×C4 | semidirect |
| 55. C2×C19⋊C8 | C2×C4 | semidirect |
| 67. D4×C19 | C42 | semidirect |
| 144. #102 | Dic19 | semidirect |
| 147. C19 | #1762 | semidirect |
| 169. C2×C8 | C2×Dic19 | semidirect |
| 175. C4⋊C4 | C2×Dic19 | semidirect |
| 191. D4 | C4×Dic19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic19 | 2 |
| C2×#10597289 | 2 |
| C2×#10597272 | 2 |
| C4⋊C4×Dic19 | 2 |
| #11926307 | 2 |
| #11926306 | 2 |
| C2×C19×#102 | 2 |
| #1762 | 19 |