Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
1258 conjugacy classes of subgroups; only the 259 normal subgroups are shown.
This group has 1258 conjugacy classes of subgroups — too many to draw. Only its 259 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 |
|---|---|---|
| 3. #24908305 | C2 | semidirect |
| 120. C2×Dic83 | #101 | semidirect |
| 151. C83 | #21799 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14581790 | 2 |
| #24916092 | 2 |
| #24908305 | 2 |
| #24907387 | 2 |
| #24907386 | 2 |
| C83×#1784 | 2 |
| #21799 | 83 |