Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #107×C109 ⋊ C2 |
| Sylow | C109 ⋊ #474 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=d,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^108,e^c=ef,g^c=g^108775 conjugacy classes — view the full character table.
| maximal subgroup of | #474×D109, C2×#20295305, #28372818, … |
| maximal normal subgroup of | #474×D109, C2×#20295305, #28372818, … |
| maximal quotient of | #28363031, #28363276, #28363280, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 828);