Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
354 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 115 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. #23752922 | C2 | semidirect |
| 3. #23752615 | C2 | semidirect |
| 4. #23752551 | C2 | semidirect |
| 5. #23752527 | C2 | semidirect |
| 6. #23752503 | C2 | semidirect |
| 7. #23752461 | C2 | semidirect |
| 8. C4×#14558991 | C2 | semidirect |
| 9. #23752289 | C2 | semidirect |
| 10. #23752253 | C2 | semidirect |
| 11. #477×C151 | C2 | semidirect |
| 121. C151 | #3357 | semidirect |
| 128. #477 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752928 | 2 |
| #23752922 | 2 |
| #23752615 | 2 |
| #23752551 | 2 |
| #23752527 | 2 |
| #23752503 | 2 |
| #23752461 | 2 |
| C4×#14558991 | 2 |
| #23752289 | 2 |
| #23752253 | 2 |
| #477×C151 | 2 |
| #3357 | 151 |