Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 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 |
| 4. #23752517 | C2 | semidirect |
| 7. #23752419 | C2 | semidirect |
| 8. C8×Dic302 | C2 | semidirect |
| 9. #23752304 | C2 | semidirect |
| 11. #487×C151 | C2 | semidirect |
| 115. C151 | #3364 | semidirect |
| 120. #487 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752937 | 2 |
| #23752936 | 2 |
| #23752568 | 2 |
| #23752517 | 2 |
| #23752489 | 2 |
| #23752437 | 2 |
| #23752419 | 2 |
| C8×Dic302 | 2 |
| #23752304 | 2 |
| C4×#14558993 | 2 |
| #487×C151 | 2 |
| #3364 | 151 |