Finite Group Databasebeta

← Group #273841

Character table — Group #273841

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444444444442444444488888888888888888822444888888848
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-1
χ3111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111-1-1111111-1-111111-1-1-1-1-1-1-11-111-1-1
χ611111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-111
χ711111111111111111111-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1-11-1-11-1-1-1-11-1-111
χ811111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-11-1-11111-1111-1-1
χ91111111111111-1-1-1-111-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1
χ101111111111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-11111-1-1111111-1-11-111-1-1-1-1-11
χ111111111111111-1-1-1-111-11111-1-1-111111111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-11
χ121111111111111-1-1-1-111-11111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1
χ131111111111111-1-1-1-111-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-1-1-11-111-1-111-1111-11
χ141111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-111111111111-111-11-1-1-11-1-11-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-11111-1111-1-1-11-1
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-111111-1-11-111-11
χ17222222-2222-22-22222-2-2-2000022-2220000000000000000-20000000-200000
χ18222222-2222-22-22222-2-2-20000-2-2-2-2-2000000000000000020000000200000
χ19222222-2222-22-2-2-2-2-2-2-220000222-2-20000000000000000-20000000200000
χ20222222-2222-22-2-2-2-2-2-2-220000-2-2222000000000000000020000000-200000
χ21222222-2-2-2-2-2-2200002-202-22-2000000000002i2i−2i−2i0000000000002i−2i000000
χ22222222-2-2-2-2-2-2200002-202-22-200000000000−2i−2i2i2i000000000000−2i2i000000
χ23222222-2-2-2-2-2-2200002-20-22-22000000000002i2i−2i−2i000000000000−2i2i000000
χ24222222-2-2-2-2-2-2200002-20-22-2200000000000−2i−2i2i2i0000000000002i−2i000000
χ252222-2-222-2-222222-2-2-2-2-200000020000000000002200000200-20000-20000
χ262222-2-222-2-222222-2-2-2-2-20000002000000000000-2-200000-2002000020000
χ272222-2-222-2-2222-2-222-2-22000000-20000000000002200000-20020000-20000
χ282222-2-222-2-2222-2-222-2-22000000-2000000000000-2-200000200-2000020000
χ292222-2-22-2222-2-200002-2022-2-20000022-2-2-2-2000000000000000200000000
χ302222-2-22-2222-2-200002-2022-2-200000-2-22222000000000000000-200000000
χ312222-2-22-2222-2-200002-20-2-222000002222-2-2000000000000000-200000000
χ322222-2-22-2222-2-200002-20-2-22200000-2-2-2-222000000000000000200000000
χ332222-2-2-22-2-2-22-222-2-22222-2-2200-2000000000000000000002-20000000000
χ342222-2-2-22-2-2-22-222-2-2222-222-200-200000000000000000000-220000000000
χ352222-2-2-22-2-2-22-2-2-22222-22-2-2200200000000000000000000-220000000000
χ362222-2-2-22-2-2-22-2-2-22222-2-222-2002000000000000000000002-20000000000
χ372-2-222-2022-20-202i−2i2i−2i00000002i−2i02-22−2002−2i2−i2i2−i20022−2−20000000000i2−i200
χ382-2-222-2022-20-202i−2i2i−2i00000002i−2i02-2−2200−22−i2i2−i2i200−2−2220000000000−i2i200
χ392-2-222-2022-20-202i−2i2i−2i0000000−2i2i0-222−2002−2i2−i2i2−i200−2−2220000000000−i2i200
χ402-2-222-2022-20-202i−2i2i−2i0000000−2i2i0-22−2200−22−i2i2−i2i20022−2−20000000000i2−i200
χ412-2-222-2022-20-20−2i2i−2i2i00000002i−2i0-222−2002−2−i2i2−i2i200−2−2220000000000i2−i200
χ422-2-222-2022-20-20−2i2i−2i2i00000002i−2i0-22−2200−22i2−i2i2−i20022−2−20000000000−i2i200
χ432-2-222-2022-20-20−2i2i−2i2i0000000−2i2i02-22−2002−2−i2i2−i2i20022−2−20000000000−i2i200
χ442-2-222-2022-20-20−2i2i−2i2i0000000−2i2i02-2−2200−22i2−i2i2−i200−2−2220000000000i2−i200
χ454444444-4-4-44-4-40000-440000000000000000000000000000000000000000
χ464444-4-4-4-444-4-440000-440000000000000000000000000000000000000000
χ474-44-400-40004000000000000000000002i2−2i20000002i2−2i22-22-200000000000000
χ484-44-400-40004000000000000000000002i2−2i2000000−2i22i2-22-2200000000000000
χ494-44-400-4000400000000000000000000−2i22i20000002i2−2i2-22-2200000000000000
χ504-44-400-4000400000000000000000000−2i22i2000000−2i22i22-22-200000000000000
χ514-4-444-40-4-44040000000000000000000000022−22−222200000000000000000000
χ524-4-444-40-4-440400000000000000000000000−222222−2200000000000000000000
χ534-4-44-4404-440-404i−4i−4i4i000000000000000000000000000000000000000000
χ544-4-44-4404-440-40−4i4i4i−4i000000000000000000000000000000000000000000
χ554-4-44-440-44-4040000000000000000022−2200−2222000000000000000000000000
χ564-4-44-440-44-40400000000000000000−22220022−22000000000000000000000000
χ5788-8-8000000000000000000000000000000000000022−22−222200000000000000
χ5888-8-80000000000000000000000000000000000000−222222−2200000000000000
χ598-88-8008000-8000000000000000000000000000000000000000000000000

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