Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
298 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19127498 | C4 | semidirect |
| 9. #19127441 | C4 | semidirect |
| 125. C83 | #7487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19127498 | 2 |
| C2×#19127441 | 2 |
| C83×#1885 | 2 |
| #7487 | 83 |