Finite Group DatabasebetaFinite Group Databasebeta| order | 10836 |
| isoclinism | isoclinic class of ΓL(1,𝔽8) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C43 · Schur multiplier (H2) = C2 |
| direct product | C22×C43×C7⋊C9 |
| derived, Sylow | C7 ⋊ C22×C9×C43 |
| Hall | C22×C7×C43 ⋊ C9 |
| Hall | C7×C43 ⋊ C22×C9 |
| Hall | C22×C7 ⋊ C9×C43 |
60 conjugacy classes of subgroups.
2580 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10836, 65);