Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 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. #23752923 | C2 | semidirect |
| 2. #23752883 | C2 | semidirect |
| 3. #23752575 | C2 | semidirect |
| 4. #23752560 | C2 | semidirect |
| 5. #23752511 | C2 | semidirect |
| 6. #23752408 | C2 | semidirect |
| 7. #23752406 | C2 | semidirect |
| 8. #23752339 | C2 | semidirect |
| 9. #23752323 | C2 | semidirect |
| 10. C4×#14558989 | C2 | semidirect |
| 11. #476×C151 | C2 | semidirect |
| 82. D604 | #41 | semidirect |
| 129. C151 | #3366 | semidirect |
| 136. #476 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752923 | 2 |
| #23752883 | 2 |
| #23752575 | 2 |
| #23752560 | 2 |
| #23752511 | 2 |
| #23752408 | 2 |
| #23752406 | 2 |
| #23752339 | 2 |
| #23752323 | 2 |
| C4×#14558989 | 2 |
| #476×C151 | 2 |
| #3366 | 151 |