Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C109 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=e,b^2=f,c^2=ef,d^2=f,b^a=bd,d^a=df,d^b=df,g^b=g^108,g^c=g^108784 conjugacy classes — view the full character table.
| maximal subgroup of | #28364883, #28364887, #28364888, … |
| maximal normal subgroup of | #28364883, #28364887, #28364888, … |
| maximal quotient of | #28361838, #28361881, #28361928, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 643);