Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
374 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 7. #19128106 | C4 | semidirect |
| 8. #19128081 | C4 | semidirect |
| 9. #19128052 | C4 | semidirect |
| 135. C83 | #9765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918049 | 2 |
| #24907214 | 2 |
| #24906079 | 2 |
| #24905976 | 2 |
| C83×#1568 | 2 |
| #9765 | 83 |