Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 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. #23752743 | C2 | semidirect |
| 2. #23752518 | C2 | semidirect |
| 3. #23752510 | C2 | semidirect |
| 4. #23752453 | C2 | semidirect |
| 5. #23752439 | C2 | semidirect |
| 6. #23752433 | C2 | semidirect |
| 7. #23752425 | C2 | semidirect |
| 8. C2×Dic151⋊C8 | C2 | semidirect |
| 106. C151 | #3250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752743 | 2 |
| #23752518 | 2 |
| #23752510 | 2 |
| #23752453 | 2 |
| #23752439 | 2 |
| #23752433 | 2 |
| #23752425 | 2 |
| C2×Dic151⋊C8 | 2 |
| #466×C151 | 2 |
| #3250 | 151 |