Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
436 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 6. C22×Dic332 | C4 | semidirect |
| 12. #19127739 | C4 | semidirect |
| 13. #19127711 | C4 | semidirect |
| 166. C83 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24917118 | 2 |
| #24909137 | 2 |
| #24909116 | 2 |
| #24907263 | 2 |
| C83×#1812 | 2 |
| #13230 | 83 |