Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #23752791 | C2 | semidirect |
| 2. #23752544 | C2 | semidirect |
| 3. #23752529 | C2 | semidirect |
| 4. #23752470 | C2 | semidirect |
| 5. #23752439 | C2 | semidirect |
| 6. #23752375 | C2 | semidirect |
| 7. #23752354 | C2 | semidirect |
| 8. #23752180 | C2 | semidirect |
| 9. #469×C151 | C2 | semidirect |
| 117. C151 | #3204 | semidirect |
| 123. #469 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752791 | 2 |
| #23752544 | 2 |
| #23752529 | 2 |
| #23752470 | 2 |
| #23752439 | 2 |
| #23752375 | 2 |
| #23752354 | 2 |
| #23752180 | 2 |
| #469×C151 | 2 |
| #3204 | 151 |