Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
426 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 426 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. #23752883 | C2 | semidirect |
| 2. #23752877 | C2 | semidirect |
| 3. #23752560 | C2 | semidirect |
| 4. #23752557 | C2 | semidirect |
| 5. #23752491 | C2 | semidirect |
| 6. #23752408 | C2 | semidirect |
| 7. #23752406 | C2 | semidirect |
| 8. #23752336 | C2 | semidirect |
| 9. #23752294 | C2 | semidirect |
| 10. C4×#14558989 | C2 | semidirect |
| 11. #474×C151 | C2 | semidirect |
| 78. Dic302 | D8 | semidirect |
| 84. D604 | #41 | semidirect |
| 131. C151 | #3358 | semidirect |
| 138. #474 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752883 | 2 |
| #23752877 | 2 |
| #23752560 | 2 |
| #23752557 | 2 |
| #23752491 | 2 |
| #23752408 | 2 |
| #23752406 | 2 |
| #23752336 | 2 |
| #23752294 | 2 |
| C4×#14558989 | 2 |
| #474×C151 | 2 |
| #3358 | 151 |