Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×M16×C97 ⋊ C2 |
| Sylow | C97 ⋊ #469 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^96,c^b=cf976 conjugacy classes — view the full character table.
| maximal subgroup of | #27139720, #27139722, #27139726, … |
| maximal normal subgroup of | #27139720, #27139722, #27139726, … |
| maximal quotient of | #27141215, #27141220, #27141249, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 802);