Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C2×Q8×C97 ⋊ C4 |
| Sylow | C97 ⋊ #410 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=e,c^2=f,b^a=bd,d^a=df,g^a=g^22,e^b=ef,g^b=g^96,g^c=g^96,g^e=g^96262 conjugacy classes — view the full character table.
| maximal subgroup of | #27156838, #27157495, #27157585, … |
| maximal normal subgroup of | #27156838, #27157495, #27157585, … |
| maximal quotient of | #27156970, #27156977, #27156979, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1530);