Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
322 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11926508 | C2 | semidirect |
| 2. C2×C22⋊(C19⋊C8) | C2 | semidirect |
| 3. #11926268 | C2 | semidirect |
| 119. C19 | #1471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926508 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| #11926268 | 2 |
| C2×C19×#121 | 2 |
| #1471 | 19 |