Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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×#10597257 | C2 | semidirect |
| 2. #11926785 | C2 | semidirect |
| 4. #11926370 | C2 | semidirect |
| 5. #11926349 | C2 | semidirect |
| 6. #11926346 | C2 | semidirect |
| 7. C2×C19×M32 | C2 | semidirect |
| 39. C16×C19 | D4 | semidirect |
| 72. C2×M32 | D19 | semidirect |
| 96. C19 | #2220 | semidirect |
| 115. C16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597257 | 2 |
| #11926785 | 2 |
| #11926780 | 2 |
| #11926370 | 2 |
| #11926349 | 2 |
| #11926346 | 2 |
| C2×C19×M32 | 2 |
| #2220 | 19 |