Finite Group Databasebeta

← Group #6257

Character table — Group #6257

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21
size12222366668888888885454
order133332666699999999924
χ1111111111111111111111
χ21111111111111111111-1-1
χ32222222222-1-1-1-1-1-1-1-1-100
χ422-1-1-122-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ500
χ522-1-1-122-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ800
χ622-1-1-122-1-1-1ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ700
χ72-12-1-12-12-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500
χ82-12-1-12-12-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800
χ92-12-1-12-12-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700
χ102-1-12-12-1-12-1ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ500
χ112-1-12-12-1-12-1ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ800
χ122-1-12-12-1-12-1ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ700
χ132-1-1-122-1-1-122-1-1-12-1-1-1200
χ142-1-1-122-1-1-12-12-1-1-122-1-100
χ152-1-1-122-1-1-12-1-122-1-1-12-100
χ1633333-1-1-1-1-10000000001-1
χ1733333-1-1-1-1-1000000000-11
χ1866-3-3-3-2-211100000000000
χ196-36-3-3-21-21100000000000
χ206-3-36-3-211-2100000000000
χ216-3-3-36-2111-200000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1).