Finite Group DatabasebetaFinite Group Databasebeta| order | 10836 |
| isoclinism | isoclinic class of D7 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C43 · Schur multiplier (H2) = C1 |
| direct product | C9×Dic7×C43 |
| derived, Sylow | C7 ⋊ C4×C9×C43 |
| Hall | C7×C9×C43 ⋊ C4 |
| Hall | C7×C43 ⋊ C4×C9 |
| Hall | C7×C9 ⋊ C4×C43 |
36 conjugacy classes of subgroups.
3870 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10836, 25);