Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 1. #23752749 | C2 | semidirect |
| 2. #23752612 | C2 | semidirect |
| 3. #23752597 | C2 | semidirect |
| 4. #23752568 | C2 | semidirect |
| 5. #23752467 | C2 | semidirect |
| 7. #23752461 | C2 | semidirect |
| 8. #23752325 | C2 | semidirect |
| 9. #23752310 | C2 | semidirect |
| 10. #23752164 | C2 | semidirect |
| 11. #441×C151 | C2 | semidirect |
| 109. C151 | #3183 | semidirect |
| 119. #441 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752749 | 2 |
| #23752612 | 2 |
| #23752597 | 2 |
| #23752568 | 2 |
| #23752467 | 2 |
| #23752466 | 2 |
| #23752461 | 2 |
| #23752325 | 2 |
| #23752310 | 2 |
| #23752164 | 2 |
| #441×C151 | 2 |
| #3183 | 151 |