Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
326 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 165. C83 | #10499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918671 | 2 |
| #24908456 | 2 |
| #24906231 | 2 |
| #24906194 | 2 |
| #24906066 | 2 |
| #24906057 | 2 |
| C83×#1291 | 2 |
| #10499 | 83 |