Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
486 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 138. C83 | #8705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19127568 | 2 |
| #24907529 | 2 |
| #24905306 | 2 |
| #24905305 | 2 |
| C83×#1280 | 2 |
| #8705 | 83 |