Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22⋊C8×C97 ⋊ C2 |
| Sylow | C97 ⋊ #448 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^96,d^b=df,g^b=g^96979 conjugacy classes — view the full character table.
| maximal subgroup of | #27140689, #27140690, #27140701, … |
| maximal normal subgroup of | #27140689, #27140690, #27140701, … |
| maximal quotient of | #27140661, #27140678, #27140729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 690);