Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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. #11926854 | C2 | semidirect |
| 4. #11926853 | C2 | semidirect |
| 5. #11926840 | C2 | semidirect |
| 6. #11926839 | C2 | semidirect |
| 7. #11926826 | C2 | semidirect |
| 11. C19×#475 | C2 | semidirect |
| 46. Q8×D19 | Q8 | semidirect |
| 134. #475 | D19 | semidirect |
| 173. C19 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| C4×Q8×D19 | 2 |
| #11926854 | 2 |
| #11926853 | 2 |
| #11926840 | 2 |
| #11926839 | 2 |
| #11926826 | 2 |
| #11926583 | 2 |
| #11926566 | 2 |
| #11926551 | 2 |
| C19×#475 | 2 |
| #3078 | 19 |