Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | D97⋊#100 |
| Sylow | C97 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=e,e^2=f,b^a=bd,d^a=df,g^a=g^22,e^b=ef,g^c=g^96,g^e=g^96262 conjugacy classes — view the full character table.
| maximal subgroup of | #27156819, #100×#87604, #27157582, … |
| maximal normal subgroup of | #27156819, #100×#87604, #27157582, … |
| maximal quotient of | #27156962, #27156976, #27156977, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1532);