Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #23752610 | C2 | semidirect |
| 4. #23752551 | C2 | semidirect |
| 5. #23752541 | C2 | semidirect |
| 6. #23752507 | C2 | semidirect |
| 7. #23752497 | C2 | semidirect |
| 8. #23752467 | C2 | semidirect |
| 10. #23752253 | C2 | semidirect |
| 11. C4×Q16×C151 | C2 | semidirect |
| 116. C151 | #3356 | semidirect |
| 126. C4×Q16 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752935 | 2 |
| #23752922 | 2 |
| #23752610 | 2 |
| #23752551 | 2 |
| #23752541 | 2 |
| #23752507 | 2 |
| #23752497 | 2 |
| #23752467 | 2 |
| #23752291 | 2 |
| #23752253 | 2 |
| C4×Q16×C151 | 2 |
| #3356 | 151 |