Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
466 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 177. C83 | #10115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918408 | 2 |
| #24917845 | 2 |
| #24908451 | 2 |
| #24906058 | 2 |
| #24905884 | 2 |
| #24905352 | 2 |
| C83×#3255 | 2 |
| #10115 | 83 |