Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D109 |
| Fitting | C2×Q16×C109 ⋊ C2 |
| Sylow | C109 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
784 conjugacy classes — view the full character table.
| maximal subgroup of | #358×D109, #28364750, #362×D109, … |
| maximal normal subgroup of | #358×D109, #28364750, #362×D109, … |
| maximal quotient of | C2×#103×D109, C2×#107×D109, C4×Q16×D109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1324);