Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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. C2×#18012770 | C2 | semidirect |
| 3. #23752692 | C2 | semidirect |
| 4. #23752431 | C2 | semidirect |
| 5. #23752424 | C2 | semidirect |
| 6. #23752419 | C2 | semidirect |
| 7. #23752414 | C2 | semidirect |
| 8. #23752239 | C2 | semidirect |
| 9. #23752213 | C2 | semidirect |
| 10. C2×#18012663 | C2 | semidirect |
| 11. #536×C151 | C2 | semidirect |
| 146. C151 | #3046 | semidirect |
| 150. #536 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012770 | 2 |
| C2×#18012759 | 2 |
| #23752692 | 2 |
| #23752431 | 2 |
| #23752424 | 2 |
| #23752419 | 2 |
| #23752414 | 2 |
| #23752239 | 2 |
| #23752213 | 2 |
| C2×#18012663 | 2 |
| #536×C151 | 2 |
| #3046 | 151 |