Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16812722 |
| Fitting | C2×Q16×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
784 conjugacy classes — view the full character table.
| maximal subgroup of | #28364738, #28364743, #28364780, … |
| maximal normal subgroup of | #28364738, #28364743, #28364780, … |
| maximal quotient of | C2×#20295021, C2×#20295063, C2×#20295108, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1332);