Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 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. #19127528 | C4 | semidirect |
| 15. #19127528 | C4 | semidirect |
| 16. #19127526 | C4 | semidirect |
| 17. #19127526 | C4 | semidirect |
| 133. C83 | #13113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24909245 | 2 |
| #24908212 | 2 |
| #24907345 | 2 |
| #24905559 | 2 |
| #24905556 | 2 |
| #24905540 | 2 |
| C83×#1382 | 2 |
| #13113 | 83 |