Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
530 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #24910101 | C2 | semidirect |
| 3. #24908381 | C2 | semidirect |
| 4. #24905972 | C2 | semidirect |
| 5. #24905905 | C2 | semidirect |
| 6. #24905355 | C2 | semidirect |
| 7. C83×#1285 | C2 | semidirect |
| 11. #19127992 | C4 | semidirect |
| 12. #19127897 | C4 | semidirect |
| 199. #1285 | D83 | semidirect |
| 200. C83 | #9329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24917555 | 2 |
| #24910101 | 2 |
| #24908381 | 2 |
| #24905972 | 2 |
| #24905905 | 2 |
| #24905355 | 2 |
| C83×#1285 | 2 |
| #9329 | 83 |