Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 400 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 |
|---|---|---|
| 1. #11927101 | C2 | semidirect |
| 3. #11926899 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 5. #11926891 | C2 | semidirect |
| 6. #11926541 | C2 | semidirect |
| 7. C2×C4×C8×C19 | C2 | semidirect |
| 81. C2×C4×C8 | D19 | semidirect |
| 103. C19 | #3131 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11927094 | 2 |
| #11926899 | 2 |
| #11926895 | 2 |
| #11926891 | 2 |
| #11926541 | 2 |
| C2×C4×C8×C19 | 2 |
| #3131 | 19 |