Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
326 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 15. #19127449 | C4 | semidirect |
| 16. #19127446 | C4 | semidirect |
| 146. C83 | #9584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24908440 | 2 |
| #24906237 | 2 |
| #24906121 | 2 |
| #24905865 | 2 |
| #24905360 | 2 |
| #24905296 | 2 |
| C83×#1767 | 2 |
| #9584 | 83 |