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×#18012772 | C2 | semidirect |
| 3. #23752788 | C2 | semidirect |
| 4. #23752692 | C2 | semidirect |
| 5. #23752435 | C2 | semidirect |
| 6. #23752428 | C2 | semidirect |
| 7. #23752423 | C2 | semidirect |
| 8. #23752418 | C2 | semidirect |
| 9. #23752214 | C2 | semidirect |
| 10. C2×#18012664 | C2 | semidirect |
| 11. #424×C151 | C2 | semidirect |
| 146. C151 | #3046 | semidirect |
| 156. #424 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012772 | 2 |
| C2×#18012761 | 2 |
| #23752788 | 2 |
| #23752692 | 2 |
| #23752435 | 2 |
| #23752428 | 2 |
| #23752423 | 2 |
| #23752418 | 2 |
| #23752214 | 2 |
| C2×#18012664 | 2 |
| #424×C151 | 2 |
| #3046 | 151 |