Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
178 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 178 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×#10597286 | C2 | semidirect |
| 5. #11926922 | C2 | semidirect |
| 6. #11926319 | C2 | semidirect |
| 7. C2×C19×Q32 | C2 | semidirect |
| 72. C2×Q32 | D19 | semidirect |
| 96. C19 | #2251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597286 | 2 |
| C2×#10597257 | 2 |
| C2×#10597285 | 2 |
| #11926929 | 2 |
| #11926922 | 2 |
| #11926319 | 2 |
| C2×C19×Q32 | 2 |
| #2251 | 19 |