Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
298 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 144. C83 | #10639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24907479 | 2 |
| #24907456 | 2 |
| #24905859 | 2 |
| #24905360 | 2 |
| #24905323 | 2 |
| #24905322 | 2 |
| C83×#1571 | 2 |
| #10639 | 83 |