Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10597316 | C2 | semidirect |
| 3. #11926913 | C2 | semidirect |
| 4. #11926909 | C2 | semidirect |
| 5. #11926899 | C2 | semidirect |
| 6. #11926546 | C2 | semidirect |
| 7. C4×M16×C19 | C2 | semidirect |
| 80. C4×M16 | D19 | semidirect |
| 102. C19 | #3142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| C2×#10597316 | 2 |
| #11926913 | 2 |
| #11926909 | 2 |
| #11926899 | 2 |
| #11926546 | 2 |
| C4×M16×C19 | 2 |
| #3142 | 19 |