Finite Group Databasebeta

← Group #273868

Character table — Group #273868

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444444444442224444488888888888888888824444888888828
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1
χ31111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-11111-1-111111111-1-11111-11-1-1-11-1-1-1-111-1-1
χ611111111111111111111-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-111
χ711111111111111111111-1-11-1-1-1-111-1-1111111-1-111-1-1-1-11-1-1-11-1-1-1-11-1-111
χ811111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-11-1111111-1-1
χ91111111111111-1-1-1-111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1111-1
χ101111111111111-1-1-1-111-111-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-1-1-11
χ111111111111111-1-1-1-111-111-111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-11
χ121111111111111-1-1-1-111-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111-1
χ131111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-1-111111-11
χ141111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1111111-1111-1-11-1-11-1-11-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-11111-111-1-1-11-1
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-111111-1-1-111-11
χ17222222-2222-22-22222-2-2-200-200220000000000220000000-2000-200000000
χ18222222-2222-22-22222-2-2-200-200-2-20000000000-2-200000002000200000000
χ19222222-2222-22-2-2-2-2-2-2-2200200220000000000-2-20000000-2000200000000
χ20222222-2222-22-2-2-2-2-2-2-2200200-2-200000000002200000002000-200000000
χ21222222-2-2-2-2-2-2200002-202-202-2000000002i2i−2i−2i0000000000000002i−2i00000
χ22222222-2-2-2-2-2-2200002-202-202-200000000−2i−2i2i2i000000000000000−2i2i00000
χ23222222-2-2-2-2-2-2200002-20-220-22000000002i2i−2i−2i000000000000000−2i2i00000
χ24222222-2-2-2-2-2-2200002-20-220-2200000000−2i−2i2i2i0000000000000002i−2i00000
χ252222-2-222-2-222222-2-2-2-2-200200000000000000002200002000-20000-20000
χ262222-2-222-2-222222-2-2-2-2-20020000000000000000-2-20000-20002000020000
χ272222-2-222-2-2222-2-222-2-2200-20000000000000000220000-200020000-20000
χ282222-2-222-2-2222-2-222-2-2200-20000000000000000-2-200002000-2000020000
χ292222-2-22-2222-2-200002-20220-2-20022-2-2-2-200000000000000000020000000
χ302222-2-22-2222-2-200002-20220-2-200-2-22222000000000000000000-20000000
χ312222-2-22-2222-2-200002-20-2-2022002222-2-2000000000000000000-20000000
χ322222-2-22-2222-2-200002-20-2-202200-2-2-2-22200000000000000000020000000
χ332222-2-2-22-2-2-22-222-2-22222-2-2-2200000000000000000000002-20000000000
χ342222-2-2-22-2-2-22-222-2-2222-22-22-20000000000000000000000-220000000000
χ352222-2-2-22-2-2-22-2-2-22222-22-22-220000000000000000000000-220000000000
χ362222-2-2-22-2-2-22-2-2-22222-2-2222-200000000000000000000002-20000000000
χ372-2-222-2022-20-202i−2i2i−2i000000002-22−2002−2i2−i2i2−i22i−2i00i2i2−i2−i200000000002−200
χ382-2-222-2022-20-202i−2i2i−2i000000002-2−2200−22−i2i2−i2i22i−2i00−i2−i2i2i20000000000−2200
χ392-2-222-2022-20-202i−2i2i−2i00000000-222−2002−2i2−i2i2−i2−2i2i00−i2−i2i2i20000000000−2200
χ402-2-222-2022-20-202i−2i2i−2i00000000-22−2200−22−i2i2−i2i2−2i2i00i2i2−i2−i200000000002−200
χ412-2-222-2022-20-20−2i2i−2i2i000000002-22−2002−2−i2i2−i2i2−2i2i00−i2−i2i2i200000000002−200
χ422-2-222-2022-20-20−2i2i−2i2i000000002-2−2200−22i2−i2i2−i2−2i2i00i2i2−i2−i20000000000−2200
χ432-2-222-2022-20-20−2i2i−2i2i00000000-222−2002−2−i2i2−i2i22i−2i00i2i2−i2−i20000000000−2200
χ442-2-222-2022-20-20−2i2i−2i2i00000000-22−2200−22i2−i2i2−i22i−2i00−i2−i2i2i200000000002−200
χ454444444-4-4-44-4-40000-440000000000000000000000000000000000000000
χ464444-4-4-4-444-4-440000-440000000000000000000000000000000000000000
χ474-44-4004000-40000000000000000002i2−2i2000000002i2−2i22-22-200000000000000
χ484-44-4004000-40000000000000000002i2−2i200000000−2i22i2-22-2200000000000000
χ494-44-4004000-4000000000000000000−2i22i2000000002i2−2i2-22-2200000000000000
χ504-44-4004000-4000000000000000000−2i22i200000000−2i22i22-22-200000000000000
χ514-4-444-40-4-440400000000000000000000022−22−22220000000000000000000000
χ524-4-444-40-4-4404000000000000000000000−222222−220000000000000000000000
χ534-4-44-4404-440-404i−4i−4i4i000000000000000000000000000000000000000000
χ544-4-44-4404-440-40−4i4i4i−4i000000000000000000000000000000000000000000
χ554-4-44-440-44-40400000000000000022−2200−222200000000000000000000000000
χ564-4-44-440-44-404000000000000000−22220022−2200000000000000000000000000
χ5788-8-800000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5888-8-80000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ598-88-800-80008000000000000000000000000000000000000000000000000

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