Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16812634 |
| Sylow | C109 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28362910, #28362912, #28362915, … |
| maximal normal subgroup of | #28362910, #28362912, #28362915, … |
| maximal quotient of | C2×#20294776, C2×#20294778, #28361778, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 594);