Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
160 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 3. #24905669 | C2 | semidirect |
| 4. #24905657 | C2 | semidirect |
| 74. C83 | #13718 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24909571 | 2 |
| #24909258 | 2 |
| #24905669 | 2 |
| #24905657 | 2 |
| C83×#1400 | 2 |
| #13718 | 83 |