Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. C4×#14559004 | C2 | semidirect |
| 2. #23752533 | C2 | semidirect |
| 3. #23752494 | C2 | semidirect |
| 4. #23752489 | C2 | semidirect |
| 5. #23752409 | C2 | semidirect |
| 6. #23752404 | C2 | semidirect |
| 7. #23752355 | C2 | semidirect |
| 8. #23752322 | C2 | semidirect |
| 9. #23752312 | C2 | semidirect |
| 10. #23752269 | C2 | semidirect |
| 11. #532×C151 | C2 | semidirect |
| 85. Dic302 | #41 | semidirect |
| 87. D604 | #41 | semidirect |
| 144. C151 | #3115 | semidirect |
| 146. #532 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14559004 | 2 |
| #23752533 | 2 |
| #23752494 | 2 |
| #23752489 | 2 |
| #23752409 | 2 |
| #23752404 | 2 |
| #23752355 | 2 |
| #23752322 | 2 |
| #23752312 | 2 |
| #23752269 | 2 |
| #532×C151 | 2 |
| #3115 | 151 |