Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
410 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19128106 | C4 | semidirect |
| 11. #19128052 | C4 | semidirect |
| 162. C83 | #9288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918616 | 2 |
| #24916403 | 2 |
| #24908436 | 2 |
| #24906143 | 2 |
| #24906028 | 2 |
| #24905322 | 2 |
| C83×#1275 | 2 |
| #9288 | 83 |