Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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. #23752760 | C2 | semidirect |
| 2. #23752741 | C2 | semidirect |
| 3. #23752621 | C2 | semidirect |
| 4. #23752576 | C2 | semidirect |
| 5. #23752571 | C2 | semidirect |
| 6. #23752462 | C2 | semidirect |
| 7. #23752455 | C2 | semidirect |
| 8. SD16×Dic151 | C2 | semidirect |
| 9. D8×Dic151 | C2 | semidirect |
| 10. #23752164 | C2 | semidirect |
| 11. #496×C151 | C2 | semidirect |
| 110. C8×C151 | #41 | semidirect |
| 137. C151 | #3171 | semidirect |
| 142. #496 | D151 | semidirect |
| 248. C8 | #14559003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752760 | 2 |
| #23752741 | 2 |
| #23752621 | 2 |
| #23752576 | 2 |
| #23752571 | 2 |
| #23752462 | 2 |
| #23752455 | 2 |
| SD16×Dic151 | 2 |
| D8×Dic151 | 2 |
| #23752164 | 2 |
| #496×C151 | 2 |
| #3171 | 151 |