Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
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. #29507733 | C2 | semidirect |
| 3. #29507713 | C2 | semidirect |
| 4. #29507685 | C2 | semidirect |
| 5. #29507488 | C2 | semidirect |
| 6. #29507481 | C2 | semidirect |
| 7. #568×C241 | C2 | semidirect |
| 10. #21440672 | C4 | semidirect |
| 12. #21440667 | C4 | semidirect |
| 118. C241 | #1881 | semidirect |
| 121. #568 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508515 | 2 |
| #29507733 | 2 |
| #29507713 | 2 |
| #29507685 | 2 |
| #29507488 | 2 |
| #29507481 | 2 |
| #568×C241 | 2 |
| #1881 | 241 |