Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #23752931 | C2 | semidirect |
| 2. #23752603 | C2 | semidirect |
| 3. #23752431 | C2 | semidirect |
| 5. #23752420 | C2 | semidirect |
| 6. #23752342 | C2 | semidirect |
| 7. #23752313 | C2 | semidirect |
| 8. C4×Dic604 | C2 | semidirect |
| 102. C151 | #3402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752931 | 2 |
| #23752603 | 2 |
| #23752431 | 2 |
| #23752425 | 2 |
| #23752420 | 2 |
| #23752342 | 2 |
| #23752313 | 2 |
| C4×Dic604 | 2 |
| #495×C151 | 2 |
| #3402 | 151 |