Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
236 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 120. C83 | #10648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24906233 | 2 |
| #24906193 | 2 |
| #24905936 | 2 |
| #24905373 | 2 |
| #24905333 | 2 |
| #24905324 | 2 |
| C83×#1552 | 2 |
| #10648 | 83 |