Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D109 |
| Fitting | Q32×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
616 conjugacy classes — view the full character table.
| maximal subgroup of | SD64×D109, Q64×D109, #28365348, … |
| maximal normal subgroup of | SD64×D109, Q64×D109, #28365348, … |
| maximal quotient of | #358×D109, #366×D109, #28364888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 975);