Finite Group Databasebeta

← Group #488995

Character table — Group #488995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882244444888824444488888161616161616161624444488881616161644
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-1111-1-11111-11111-11-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1
χ61111111111111111-1-1111-1-11111-11111-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111
χ71111111111111111-1-1111-1-11111-1-1-1-1-1-11-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-111
χ81111111111111111-1-1111-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1
χ91111-1-11-1-11111111111-1-1-1-1-1-111-111-1-11-111-1-11111-1-1-1-1111-1-1-111-1-111-1-11-1
χ101111-1-11-1-11111111111-1-1-1-1-1-111-111-1-11-111-1-1-1-1-1-11111111-1-1-1-1-111-1-111-11
χ111111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-11
χ121111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-1-11111-1-1-111111-1-1-1-1111-1
χ131111-1-11-1-11111111-1-11-1-111-1-111111-1-1-1-1-1-1111111-1-1-1-11-1-111-111-1-1-1-111-11
χ141111-1-11-1-11111111-1-11-1-111-1-111111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-11111-1-11-1
χ151111-1-11-1-11111111-1-11-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-1111-1
χ161111-1-11-1-11111111-1-11-1-111-1-1111-1-111-1-1-1-111-1-1-1-11111-111-1-1111-1-111-1-1-11
χ17222222222222-2-2-2-22222222-2-2-2-2200002-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-20000-2-22222000000000000000000000000
χ192222222-2-2-2-22000022-22-2-2-2000020000-20000022−2−222−2−200000000002−22−200
χ202222222-2-2-2-22000022-22-2-2-2000020000-200000−2−222−2−2220000000000−22−2200
χ212222222-2-2-2-220000-2-2-22-2220000-2000020000022−2−222−2−20000000000−22−2200
χ222222222-2-2-2-220000-2-2-22-2220000-20000200000−2−222−2−22200000000002−22−200
χ23222222-22222-2222200-2-2-20022-2-2022220-2000000000000-20000-20000000000
χ24222222-22222-2222200-2-2-20022-2-20-2-2-2-20-20000000000002000020000000000
χ25222222-22222-2-2-2-2-200-2-2-200-2-222000000200000000000002-22-200000000000
χ26222222-22222-2-2-2-2-200-2-2-200-2-22200000020000000000000-22-2200000000000
χ272222-2-2222-2-22000022-2-22220000-20000-20000022−2−2−2−22200000000002−2−2200
χ282222-2-2222-2-22000022-2-22220000-20000-200000−2−22222−2−20000000000−222−200
χ292222-2-2222-2-220000-2-2-2-22-2-200002000020000022−2−2−2−2220000000000−222−200
χ302222-2-2222-2-220000-2-2-2-22-2-2000020000200000−2−22222−2−200000000002−2−2200
χ312222-2-22-2-2222-2-2-2-2222-2-2-2-222-2-2-2000022-2-222000000000000000000000000
χ322222-2-22-2-2222-2-2-2-2-2-22-2-22222-2-220000-2222-2-2000000000000000000000000
χ332222-2-2-2-2-222-2222200-22200-2-2-2-2022-2-202000000000000-2000020000000000
χ342222-2-2-2-2-222-2222200-22200-2-2-2-20-2-2220200000000000020000-20000000000
χ352222-2-2-2-2-222-2-2-2-2-200-222002222000000-200000000000002-2-2200000000000
χ362222-2-2-2-2-222-2-2-2-2-200-222002222000000-20000000000000-222-200000000000
χ372-2-222-202-2-22022-2-200000002-20002i−2i2i−2i000000i2−i2i2−i2i2−i2i2−i20000002−22−2000000
χ382-2-222-202-2-22022-2-200000002-20002i−2i2i−2i000000−i2i2−i2i2−i2i2−i2i2000000−22−22000000
χ392-2-222-202-2-22022-2-200000002-2000−2i2i−2i2i000000i2−i2i2−i2i2−i2i2−i2000000−22−22000000
χ402-2-222-202-2-22022-2-200000002-2000−2i2i−2i2i000000−i2i2−i2i2−i2i2−i2i20000002−22−2000000
χ412-2-22-220-22-22022-2-20000000-220002i−2i−2i2i000000i2−i2i2−i2−i2i2−i2i20000002−2−22000000
χ422-2-22-220-22-22022-2-20000000-220002i−2i−2i2i000000−i2i2−i2i2i2−i2i2−i2000000−222−2000000
χ432-2-22-220-22-22022-2-20000000-22000−2i2i2i−2i000000i2−i2i2−i2−i2i2−i2i2000000−222−2000000
χ442-2-22-220-22-22022-2-20000000-22000−2i2i2i−2i000000−i2i2−i2i2i2−i2i2−i20000002−2−22000000
χ45444444-4-4-4-4-4-40000004-4400000000000000000000000000000000000000000
χ464444-4-4-444-4-4-400000044-400000000000000000000000000000000000000000
χ4744-4-40040000-422−2222−224-4000000022−22000000022−2200000000000000000000000000
χ4844-4-40040000-422−2222−22-44000000022−220000000−222200000000000000000000000000
χ4944-4-40040000-4−2222−22224-40000000−22220000000−222200000000000000000000000000
χ5044-4-40040000-4−2222−2222-440000000−2222000000022−2200000000000000000000000000
χ5144-4-400-40000422−2222−22000004i−4i00−22220000000002i2−2i2000000000000000000000000
χ5244-4-400-40000422−2222−2200000−4i4i00−2222000000000−2i22i2000000000000000000000000
χ5344-4-400-400004−2222−2222000004i−4i0022−22000000000−2i22i2000000000000000000000000
χ5444-4-400-400004−2222−222200000−4i4i0022−220000000002i2−2i2000000000000000000000000
χ554-4-444-404-4-440-4-4440000000-440000000000000000000000000000000000000
χ564-4-444-40-444-40000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ574-4-444-40-444-4000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ584-4-44-4404-44-40000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ594-4-44-4404-44-4000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ604-4-44-440-44-440-4-44400000004-40000000000000000000000000000000000000
χ618-88-80000000042−42−42420000000000000000000000000000000000000000000000
χ628-88-800000000−424242−420000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).