Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
168 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 101 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. #11926369 | C2 | direct (N × H) |
| 12. C2×C19⋊C16 | C4 | semidirect |
| 25. C19⋊C16 | C2×C4 | semidirect |
| 52. C2×C19 | #366 | semidirect |
| 65. C19 | C2×#366 | semidirect |
| 99. C2 | #11926369 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C19⋊C16 | 2 |
| C2×#10597275 | 2 |
| #11926369 | 2 |
| C2×C19×#107 | 2 |
| C2×#366 | 19 |