Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D4⋊#11715897 |
| Sylow | C97 ⋊ D4⋊C8 |
82 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,97|a^2=d,c^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^22,c^b=ce,g^d=g^96268 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D4⋊#11715897, #27157022, #27157027, … |
| maximal normal subgroup of | C2×D4⋊#11715897, #27157022, #27157027, … |
| maximal quotient of | #27156552, #27156554, #27156572, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1396);