Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11926924 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 5. #11926755 | C2 | semidirect |
| 59. C2×C4×C19 | Q16 | semidirect |
| 121. C19 | #3209 | semidirect |
| 160. C2×C4 | Dic76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| C2×#10597315 | 2 |
| #11926924 | 2 |
| #11926895 | 2 |
| #11926755 | 2 |
| #11926702 | 2 |
| C19×#431 | 2 |
| #3209 | 19 |