Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C97 ⋊ C4 |
| Sylow | C97 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^22,g^e=g^96412 conjugacy classes — view the full character table.
| maximal subgroup of | #27156798, #27156799, #27156803, … |
| maximal normal subgroup of | #27156798, #27156799, #27156803, … |
| maximal quotient of | #27157283, #27157284, #27157285, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1559);