Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#13182038 |
| Sylow | C109 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
472 conjugacy classes — view the full character table.
| maximal subgroup of | #28377876, #28377877, #28377891, … |
| maximal normal subgroup of | #28377876, #28377877, #28377891, … |
| maximal quotient of | C8×#13182038, #28378241, #28378251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1510);