Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
354 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. #23752615 | C2 | semidirect |
| 3. #23752550 | C2 | semidirect |
| 4. #23752525 | C2 | semidirect |
| 5. #23752507 | C2 | semidirect |
| 6. #23752499 | C2 | semidirect |
| 7. #23752460 | C2 | semidirect |
| 8. C4×#14558991 | C2 | semidirect |
| 9. #23752290 | C2 | semidirect |
| 10. #23752252 | C2 | semidirect |
| 11. #554×C151 | C2 | semidirect |
| 121. C151 | #3357 | semidirect |
| 124. #554 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752927 | 2 |
| #23752615 | 2 |
| #23752550 | 2 |
| #23752525 | 2 |
| #23752507 | 2 |
| #23752499 | 2 |
| #23752460 | 2 |
| C4×#14558991 | 2 |
| #23752290 | 2 |
| #23752252 | 2 |
| #554×C151 | 2 |
| #3357 | 151 |