Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
416 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 10. #19127996 | C4 | semidirect |
| 11. #19127986 | C4 | semidirect |
| 172. C83 | #9308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24917268 | 2 |
| #24916548 | 2 |
| #24906026 | 2 |
| #24905865 | 2 |
| #24905360 | 2 |
| #24905321 | 2 |
| C83×#1805 | 2 |
| #9308 | 83 |