Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #106×C109 ⋊ C2 |
| Sylow | C109 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^c=g^108784 conjugacy classes — view the full character table.
| maximal subgroup of | #28364766, #28364803, #427×D109, … |
| maximal normal subgroup of | #28364766, #28364803, #427×D109, … |
| maximal quotient of | #28361777, #28361792, #28361809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 584);