Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #11926835 | C2 | semidirect |
| 4. #11926830 | C2 | semidirect |
| 5. #11926773 | C2 | semidirect |
| 6. #11926750 | C2 | semidirect |
| 7. #11926745 | C2 | semidirect |
| 8. C2×C19×C4⋊C8 | C2 | semidirect |
| 69. C2×C4×C19 | SD16 | semidirect |
| 115. C2×C4⋊C8 | D19 | semidirect |
| 145. C19 | #3246 | semidirect |
| 195. C2×C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11927094 | 2 |
| #11926835 | 2 |
| #11926830 | 2 |
| #11926773 | 2 |
| #11926750 | 2 |
| #11926745 | 2 |
| C2×C19×C4⋊C8 | 2 |
| #3246 | 19 |