Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
574 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 1. #24916544 | C2 | semidirect |
| 2. #24907459 | C2 | semidirect |
| 4. #24905366 | C2 | semidirect |
| 145. C83 | #9398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24916544 | 2 |
| #24907459 | 2 |
| #24906131 | 2 |
| #24905366 | 2 |
| C83×#2548 | 2 |
| #9398 | 83 |