Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16812643 |
| Sylow | C109 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
778 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16812643, #28364887, #28364893, … |
| maximal normal subgroup of | C4×#16812643, #28364887, #28364893, … |
| maximal quotient of | C2×#20294827, C2×#20294829, C2×#20294853, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 973);