Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
382 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 382 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. #23752937 | C2 | semidirect |
| 3. #23752575 | C2 | semidirect |
| 4. #23752560 | C2 | semidirect |
| 5. #23752515 | C2 | semidirect |
| 6. #23752413 | C2 | semidirect |
| 7. #23752411 | C2 | semidirect |
| 8. #23752339 | C2 | semidirect |
| 9. #23752311 | C2 | semidirect |
| 10. C4×#14558992 | C2 | semidirect |
| 11. #474×C151 | C2 | semidirect |
| 77. Dic302 | #41 | semidirect |
| 124. C151 | #3368 | semidirect |
| 131. #474 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752937 | 2 |
| #23752883 | 2 |
| #23752575 | 2 |
| #23752560 | 2 |
| #23752515 | 2 |
| #23752413 | 2 |
| #23752411 | 2 |
| #23752339 | 2 |
| #23752311 | 2 |
| C4×#14558992 | 2 |
| #474×C151 | 2 |
| #3368 | 151 |