Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16812769 |
| Sylow | C109 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
460 conjugacy classes — view the full character table.
| maximal subgroup of | #28378097, #28378101, #28378106, … |
| maximal normal subgroup of | #28378097, #28378101, #28378106, … |
| maximal quotient of | C2×#20295887, C2×#20295890, #28378580, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1561);