Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812640 |
| Fitting | C2×D8×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
778 conjugacy classes — view the full character table.
| maximal subgroup of | #28364876, C4×#16812640, #28364905, … |
| maximal normal subgroup of | #28364876, C4×#16812640, #28364905, … |
| maximal quotient of | C2×#20294826, C2×#20294827, C2×#20294851, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 969);