Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #107×C109 ⋊ C2 |
| Sylow | C109 ⋊ #484 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=f,c^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^108,g^b=g^108,e^c=ef775 conjugacy classes — view the full character table.
| maximal subgroup of | #484×D109, C2×#20295363, #28372944, … |
| maximal normal subgroup of | #484×D109, C2×#20295363, #28372944, … |
| maximal quotient of | #28363121, #28363218, #28363338, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 886);