Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C97 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^64,d^b=df,g^b=g^96,g^d=g^22,g^e=g^96118 conjugacy classes — view the full character table.
| maximal subgroup of | #27158767, #27158768, #27158775, … |
| maximal normal subgroup of | #27158767, #27158768, #27158775, … |
| maximal quotient of | #27158758, #27158769, #27158781, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1648);