Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
412 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
| 2. #11926940 | C2 | semidirect |
| 3. #11926916 | C2 | semidirect |
| 4. #11926896 | C2 | semidirect |
| 5. #11926890 | C2 | semidirect |
| 6. #11926771 | C2 | semidirect |
| 7. C4×#64526 | C2 | semidirect |
| 8. C2×C4×C19⋊C8 | C2 | semidirect |
| 78. C2×C4×C19 | SD16 | semidirect |
| 90. C19⋊C8 | #41 | semidirect |
| 147. C19 | #3167 | semidirect |
| 195. C2×C4 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11926940 | 2 |
| #11926916 | 2 |
| #11926896 | 2 |
| #11926890 | 2 |
| #11926771 | 2 |
| C4×#64526 | 2 |
| C2×C4×C19⋊C8 | 2 |
| C19×#532 | 2 |
| #3167 | 19 |