Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 181 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. #11926673 | C2 | semidirect |
| 3. #11926671 | C2 | semidirect |
| 50. C2×C19⋊C8 | Q8 | semidirect |
| 113. C19 | #2961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| #11926673 | 2 |
| #11926671 | 2 |
| #11926570 | 2 |
| #11926567 | 2 |
| #11926502 | 2 |
| #11926500 | 2 |
| C2×#10597272 | 2 |
| C19×#424 | 2 |
| #2961 | 19 |