Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
414 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 414 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. C2×#10597370 | C2 | semidirect |
| 2. #11926885 | C2 | semidirect |
| 3. #11926877 | C2 | semidirect |
| 4. #11926860 | C2 | semidirect |
| 5. #11926800 | C2 | semidirect |
| 6. #11926788 | C2 | semidirect |
| 7. #11926706 | C2 | semidirect |
| 8. #11926699 | C2 | semidirect |
| 9. #11926682 | C2 | semidirect |
| 10. #11926508 | C2 | semidirect |
| 25. C2×#64528 | C22 | semidirect |
| 26. C2×#64526 | C22 | semidirect |
| 34. #10597292 | C22 | semidirect |
| 35. #10597289 | C22 | semidirect |
| 39. #10597267 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 192. C19 | #3196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597370 | 2 |
| #11926885 | 2 |
| #11926877 | 2 |
| #11926860 | 2 |
| #11926800 | 2 |
| #11926788 | 2 |
| #11926706 | 2 |
| #11926699 | 2 |
| #11926682 | 2 |
| #11926508 | 2 |
| C19×#525 | 2 |
| #3196 | 19 |