Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
252 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 61 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. #29507771 | C2 | semidirect |
| 3. #29507584 | C2 | semidirect |
| 4. #29507452 | C2 | semidirect |
| 5. #29507451 | C2 | semidirect |
| 6. #29507450 | C2 | semidirect |
| 7. #327×C241 | C2 | semidirect |
| 9. #21440641 | C4 | semidirect |
| 10. #21440638 | C4 | semidirect |
| 14. D4×Dic241 | C4 | semidirect |
| 15. #21440604 | C4 | semidirect |
| 118. C241 | #1514 | semidirect |
| 126. #327 | D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508262 | 2 |
| #29507771 | 2 |
| #29507584 | 2 |
| #29507452 | 2 |
| #29507451 | 2 |
| #29507450 | 2 |
| #327×C241 | 2 |
| #1514 | 241 |