Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D109 |
| Fitting | #108×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
784 conjugacy classes — view the full character table.
| maximal subgroup of | #359×D109, #28364758, #361×D109, … |
| maximal normal subgroup of | #359×D109, #28364758, #361×D109, … |
| maximal quotient of | #334×D109, #335×D109, #28361777, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 593);