Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic872 |
| Sylow | C109 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1750 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28361212, #28361214, #28361224, … |
| maximal normal subgroup of | #28361212, #28361214, #28361224, … |
| maximal quotient of | C2×#20294831, C2×#20294852, C4×Dic872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 977);