Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D1744 |
| Fitting | C2×C16×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
1750 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28361209, #28361211, #28361221, … |
| maximal normal subgroup of | #28361209, #28361211, #28361221, … |
| maximal quotient of | C2×#20294828, C2×#20294852, C4×D1744, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 970);