Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812624 |
| Sylow | C109 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28362851, C4×#16812624, #28362861, … |
| maximal normal subgroup of | #28362851, C4×#16812624, #28362861, … |
| maximal quotient of | C2×#20294758, #28361436, #28361462, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 541);