Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 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. #11926412 | C2 | semidirect |
| 3. #11926282 | C2 | semidirect |
| 5. C19×#431 | C2 | semidirect |
| 12. #10597321 | C4 | semidirect |
| 13. C4×D76 | C4 | semidirect |
| 15. #10597316 | C4 | semidirect |
| 16. C4×Dic38 | C4 | semidirect |
| 89. #431 | D19 | semidirect |
| 115. C19 | #1521 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| #11926412 | 2 |
| #11926282 | 2 |
| #11926279 | 2 |
| C19×#431 | 2 |
| #1521 | 19 |