Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #29504788 | C2 | semidirect |
| 3. #29504768 | C2 | semidirect |
| 4. #29504740 | C2 | semidirect |
| 5. #29504543 | C2 | semidirect |
| 6. #29504536 | C2 | semidirect |
| 7. #568×C239 | C2 | semidirect |
| 10. #21439990 | C4 | semidirect |
| 12. #21439985 | C4 | semidirect |
| 118. C239 | #1881 | semidirect |
| 121. #568 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505570 | 2 |
| #29504788 | 2 |
| #29504768 | 2 |
| #29504740 | 2 |
| #29504543 | 2 |
| #29504536 | 2 |
| #568×C239 | 2 |
| #1881 | 239 |