Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16812644 |
| Fitting | C2×C16×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1750 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28364883, C4×#16812644, #28364895, … |
| maximal normal subgroup of | #28364883, C4×#16812644, #28364895, … |
| maximal quotient of | C2×#20294828, C2×#20294831, C2×#20294854, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 974);