Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic436 |
| Sylow | C109 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28360995, #28360997, #28361001, … |
| maximal normal subgroup of | #28360995, #28360997, #28361001, … |
| maximal quotient of | C8×Dic436, #28361884, #28361930, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 645);