Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #23752767 | C2 | semidirect |
| 3. #23752552 | C2 | semidirect |
| 4. #23752508 | C2 | semidirect |
| 5. #23752502 | C2 | semidirect |
| 6. #23752419 | C2 | semidirect |
| 8. #23752316 | C2 | semidirect |
| 9. #23752313 | C2 | semidirect |
| 10. #23752268 | C2 | semidirect |
| 11. #461×C151 | C2 | semidirect |
| 136. C151 | #3116 | semidirect |
| 144. #461 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| C4×#14559003 | 2 |
| #23752552 | 2 |
| #23752508 | 2 |
| #23752502 | 2 |
| #23752419 | 2 |
| #23752371 | 2 |
| #23752316 | 2 |
| #23752313 | 2 |
| #23752268 | 2 |
| #461×C151 | 2 |
| #3116 | 151 |