Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C97 ⋊ #343 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=cf,d^b=df,g^b=g^96982 conjugacy classes — view the full character table.
| maximal subgroup of | #343×D97, C2×#20260503, #27141473, … |
| maximal normal subgroup of | #343×D97, C2×#20260503, #27141473, … |
| maximal quotient of | #27139578, #27139585, #27139587, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 317);