Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
470 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 470 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 |
|---|---|---|
| 179. C83 | #10117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918857 | 2 |
| #24918614 | 2 |
| #24918005 | 2 |
| #24906057 | 2 |
| #24905885 | 2 |
| #24905352 | 2 |
| C83×#1966 | 2 |
| #10117 | 83 |