Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic109 |
| Sylow | C109 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
784 conjugacy classes — view the full character table.
| maximal subgroup of | #28364881, SD32×Dic109, #28364888, … |
| maximal normal subgroup of | #28364881, SD32×Dic109, #28364888, … |
| maximal quotient of | Q16×#11724784, #28361883, #28361929, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 644);