Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812617 |
| Sylow | C109 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28362827, C4×#16812617, #28362954, … |
| maximal normal subgroup of | #28362827, C4×#16812617, #28362954, … |
| maximal quotient of | C2×#20294751, #28361355, #28361361, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 528);