Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C97 ⋊ #428 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,c^b=cf,g^b=g^96982 conjugacy classes — view the full character table.
| maximal subgroup of | #27141944, #27141945, #27141949, … |
| maximal normal subgroup of | #27141944, #27141945, #27141949, … |
| maximal quotient of | #27140486, #27140501, #27140519, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 589);