Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. #11927099 | C2 | semidirect |
| 3. #11926878 | C2 | semidirect |
| 4. #11926825 | C2 | semidirect |
| 5. #11926824 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 8. #11926647 | C2 | semidirect |
| 9. #11926645 | C2 | semidirect |
| 10. #11926600 | C2 | semidirect |
| 11. C19×#461 | C2 | semidirect |
| 15. C19×C4⋊Q8 | C22 | semidirect |
| 18. Q8×Dic19 | C22 | semidirect |
| 32. #10597315 | C22 | semidirect |
| 33. C19×C4⋊C8 | C22 | semidirect |
| 34. C19×#103 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 39. #10597275 | C22 | semidirect |
| 40. #10597272 | C22 | semidirect |
| 41. #10597264 | C22 | semidirect |
| 42. C4⋊(C19⋊C8) | C22 | semidirect |
| 147. #461 | D19 | semidirect |
| 163. C4⋊Q8 | C2×D19 | semidirect |
| 182. C4⋊C8 | C2×D19 | semidirect |
| 184. #103 | C2×D19 | semidirect |
| 189. C19 | #3110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| C4×D4×D19 | 2 |
| #11926878 | 2 |
| #11926825 | 2 |
| #11926824 | 2 |
| #11926746 | 2 |
| #11926693 | 2 |
| #11926647 | 2 |
| #11926645 | 2 |
| #11926600 | 2 |
| C19×#461 | 2 |
| #3110 | 19 |