Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
408 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 408 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. #23752927 | C2 | semidirect |
| 2. #23752882 | C2 | semidirect |
| 3. #23752558 | C2 | semidirect |
| 4. #23752534 | C2 | semidirect |
| 5. #23752508 | C2 | semidirect |
| 6. #23752445 | C2 | semidirect |
| 7. #23752354 | C2 | semidirect |
| 8. C4×#14558992 | C2 | semidirect |
| 9. #23752277 | C2 | semidirect |
| 10. #23752205 | C2 | semidirect |
| 11. #459×C151 | C2 | semidirect |
| 132. C151 | #3305 | semidirect |
| 140. #459 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752927 | 2 |
| #23752882 | 2 |
| #23752558 | 2 |
| #23752534 | 2 |
| #23752508 | 2 |
| #23752445 | 2 |
| #23752354 | 2 |
| C4×#14558992 | 2 |
| #23752277 | 2 |
| #23752205 | 2 |
| #459×C151 | 2 |
| #3305 | 151 |