Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C97 ⋊ #419 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=e,b^2=f,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^96,c^b=cf,d^b=df982 conjugacy classes — view the full character table.
| maximal subgroup of | #27141708, #27141711, #27142107, … |
| maximal normal subgroup of | #27141708, #27141711, #27142107, … |
| maximal quotient of | #27140131, #27140157, #27140183, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 558);