Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
384 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 140. C83 | #9420 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918005 | 2 |
| #24916568 | 2 |
| #24906180 | 2 |
| #24906100 | 2 |
| #24905336 | 2 |
| #24905334 | 2 |
| C83×#1558 | 2 |
| #9420 | 83 |