Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
436 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 10. #19127983 | C4 | semidirect |
| 11. #19127983 | C4 | semidirect |
| 12. #19127908 | C4 | semidirect |
| 13. #19127908 | C4 | semidirect |
| 201. C83 | #9166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24917589 | 2 |
| #24916553 | 2 |
| #24907294 | 2 |
| #24905962 | 2 |
| #24905362 | 2 |
| #24905318 | 2 |
| C83×#1531 | 2 |
| #9166 | 83 |