Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812760 |
| Sylow | C109 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
454 conjugacy classes — view the full character table.
| maximal subgroup of | #28378129, #28378130, C4×#16812760, … |
| maximal normal subgroup of | #28378129, #28378130, C4×#16812760, … |
| maximal quotient of | C2×#20295871, C2×#20295872, #28378274, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1533);