Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #23752936 | C2 | semidirect |
| 3. #23752564 | C2 | semidirect |
| 4. #23752555 | C2 | semidirect |
| 5. #23752454 | C2 | semidirect |
| 6. #23752423 | C2 | semidirect |
| 7. #23752375 | C2 | semidirect |
| 8. C4×#14558992 | C2 | semidirect |
| 9. #23752277 | C2 | semidirect |
| 10. #23752205 | C2 | semidirect |
| 11. #474×C151 | C2 | semidirect |
| 125. C151 | #3302 | semidirect |
| 131. #474 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752936 | 2 |
| #23752866 | 2 |
| #23752564 | 2 |
| #23752555 | 2 |
| #23752454 | 2 |
| #23752423 | 2 |
| #23752375 | 2 |
| C4×#14558992 | 2 |
| #23752277 | 2 |
| #23752205 | 2 |
| #474×C151 | 2 |
| #3302 | 151 |