Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
276 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 14. #19127529 | C4 | semidirect |
| 15. #19127527 | C4 | semidirect |
| 128. C83 | #13119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24909251 | 2 |
| #24908214 | 2 |
| #24907363 | 2 |
| #24905573 | 2 |
| #24905570 | 2 |
| #24905542 | 2 |
| C83×#1383 | 2 |
| #13119 | 83 |