Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
364 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 157. C83 | #10516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24918805 | 2 |
| #24907617 | 2 |
| #24906164 | 2 |
| #24906163 | 2 |
| #24905974 | 2 |
| #24905332 | 2 |
| C83×#1506 | 2 |
| #10516 | 83 |