Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 123 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. #23752877 | C2 | semidirect |
| 3. #23752541 | C2 | semidirect |
| 4. #23752494 | C2 | semidirect |
| 5. #23752444 | C2 | semidirect |
| 6. #23752414 | C2 | semidirect |
| 7. #23752352 | C2 | semidirect |
| 8. C4×#14558993 | C2 | semidirect |
| 9. C8×D604 | C2 | semidirect |
| 10. #103×D151 | C2 | semidirect |
| 11. #487×C151 | C2 | semidirect |
| 81. Dic302 | #41 | semidirect |
| 85. D604 | SD16 | semidirect |
| 128. C151 | #3298 | semidirect |
| 132. #487 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752877 | 2 |
| #23752865 | 2 |
| #23752541 | 2 |
| #23752494 | 2 |
| #23752444 | 2 |
| #23752414 | 2 |
| #23752352 | 2 |
| C4×#14558993 | 2 |
| C8×D604 | 2 |
| #103×D151 | 2 |
| #487×C151 | 2 |
| #3298 | 151 |