Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11926879 | C2 | semidirect |
| 4. #11926851 | C2 | semidirect |
| 5. #11926766 | C2 | semidirect |
| 6. #11926700 | C2 | semidirect |
| 8. #11926649 | C2 | semidirect |
| 9. #11926642 | C2 | semidirect |
| 10. #11926601 | C2 | semidirect |
| 11. C2×C4×Q8×C19 | C2 | semidirect |
| 128. C2×C4×Q8 | D19 | semidirect |
| 174. C19 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| #11926879 | 2 |
| #11926862 | 2 |
| #11926851 | 2 |
| #11926766 | 2 |
| #11926700 | 2 |
| #11926683 | 2 |
| #11926649 | 2 |
| #11926642 | 2 |
| #11926601 | 2 |
| C2×C4×Q8×C19 | 2 |
| #3117 | 19 |