Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C97 ⋊ #470 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=f,b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^96,c^b=cf976 conjugacy classes — view the full character table.
| maximal subgroup of | #27139723, #27139725, #27139729, … |
| maximal normal subgroup of | #27139723, #27139725, #27139729, … |
| maximal quotient of | #27141225, #27141230, #27141259, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 807);