Finite Group Databasebeta

← Group #10594079

Character table — Group #10594079

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order1222223366666644443446666666121212124444441212121266121212121212244412121212121212121212222261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111111111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111-1-11111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111111111-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ91111-1-111111111111111-1-1-1-1-111111-1-1-1-111-1-11111-1-11-111-1-111-1-111-1-1-1-111-1-111-1-11-1-11
χ101111-1-111111111111111-1-1-1-1-111111-1-1-1-1-1-1111111-1-11-111-1-1-11-1111-1-1-1-1-1-111-1-111-111-1
χ111111-1-11111111111111-11-1-1-1-1111-1-111-1-111-1-11111-1-1-11-1-111-1-111-1-111-1-111-1-111-1-1-111-1
χ121111-1-11111111111111-11-1-1-1-1111-1-111-1-1-1-1111111-1-1-11-1-1111-11-1-1-111-1-1-1-111-1-1111-1-11
χ131111-1-111111111-1-1-1-111-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11-111-1-11-11-1-1-1111111-1-1-1-1111-11-1
χ141111-1-111111111-1-1-1-111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-11111-1-1-11-11
χ151111-1-111111111-1-1-1-11-11-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-1-111-11-1111-1-11111-1-1-1-111-11-11
χ161111-1-111111111-1-1-1-11-11-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-11111-1-11-11-1
χ172222222-1-1-1222-10000-12222-1-1-1-1-122220022220000-1-1-1-1-1-1-1-12002000000-1-1-1-10000-1-100
χ182222222-1-1-1222-10000-12222-1-1-1-1-1222200-2-2-2-20000-1-1-1-1-1-1-1-1-200-2000000111100001100
χ192222222-1-1-1222-10000-1-2-222-1-1-1-1-1-2-2-2-20022220000-1-1111111-200-2000000-1-1-1-100001100
χ202222222-1-1-1222-10000-1-2-222-1-1-1-1-1-2-2-2-200-2-2-2-20000-1-1111111200200000011110000-1-100
χ21222222-1222-1-1-122222-122-1-122-1-1-1-1-1-1-1220000-1-1-1-1-1-122-1-1-1-10220-1-1-1-1-1-1000000000000
χ22222222-1222-1-1-122222-1-2-2-1-122-1-1-11111220000-1-1-1-1-1-1-2-211110-2-201111-1-1000000000000
χ23222222-1222-1-1-12-2-2-2-2-122-1-122-1-1-1-1-1-1-1-2-200001111-1-122-1-1-1-10-2-20111111000000000000
χ24222222-1222-1-1-12-2-2-2-2-1-2-2-1-122-1-1-11111-2-200001111-1-1-2-211110220-1-1-1-111000000000000
χ252222-2-22-1-1-1222-10000-12-2-2-211-1-1-122-2-20022-2-2000011-11-1-111200-2000000-1-1110000-1100
χ262222-2-22-1-1-1222-10000-12-2-2-211-1-1-122-2-200-2-222000011-11-1-111-200200000011-1-100001-100
χ272222-2-22-1-1-1222-10000-1-22-2-211-1-1-1-2-2220022-2-20000111-111-1-1-2002000000-1-11100001-100
χ282222-2-22-1-1-1222-10000-1-22-2-211-1-1-1-2-22200-2-2220000111-111-1-1200-200000011-1-10000-1100
χ292222-2-2-1222-1-1-122222-12-211-2-2-1-1-1-1-111-2-20000-1-1-1-1112-2-1-11102-20-1-11111000000000000
χ302222-2-2-1222-1-1-122222-1-2211-2-2-1-1-111-1-1-2-20000-1-1-1-111-2211-1-10-22011-1-111000000000000
χ312222-2-2-1222-1-1-12-2-2-2-2-12-211-2-2-1-1-1-1-1112200001111112-2-1-1110-22011-1-1-1-1000000000000
χ322222-2-2-1222-1-1-12-2-2-2-2-1-2211-2-2-1-1-111-1-1220000111111-2211-1-102-20-1-111-1-1000000000000
χ3322-2-200222-22-2-2-22i2i−2i−2i2000000-22-2000000002i−2i2i2i−2i−2i000000000000000000002i−2i002-20000
χ3422-2-200222-22-2-2-22i2i−2i−2i2000000-22-200000000−2i2i2i2i−2i−2i00000000000000000000−2i2i00-220000
χ3522-2-200222-22-2-2-2−2i−2i2i2i2000000-22-2000000002i−2i−2i−2i2i2i000000000000000000002i−2i00-220000
χ3622-2-200222-22-2-2-2−2i−2i2i2i2000000-22-200000000−2i2i−2i−2i2i2i00000000000000000000−2i2i002-20000
χ372-22-20022-22-22-2-22i−2i2i−2i2000000-2-220000002i−2i002i−2i2i−2i0000000000000000002i−2i002-2000000
χ382-22-20022-22-22-2-22i−2i2i−2i2000000-2-22000000−2i2i002i−2i2i−2i000000000000000000−2i2i00-22000000
χ392-22-20022-22-22-2-2−2i2i−2i2i2000000-2-220000002i−2i00−2i2i−2i2i0000000000000000002i−2i00-22000000
χ402-22-20022-22-22-2-2−2i2i−2i2i2000000-2-22000000−2i2i00−2i2i−2i2i000000000000000000−2i2i002-2000000
χ412-2-222-222-2-2-2-2222-2-222002-22-22-2-200002-200002-2-222-2000000000000002-2000000000000
χ422-2-222-222-2-2-2-222-222-22002-22-22-2-20000-220000-222-22-200000000000000-22000000000000
χ432-2-222-2-12-2-211-122-2-22-100-112-2-1113−33−32-20000-111-1-11003−33−300003−33−3-11000000000000
χ442-2-222-2-12-2-211-122-2-22-100-112-2-111−33−332-20000-111-1-1100−33−330000−33−33-11000000000000
χ452-2-222-2-12-2-211-12-222-2-100-112-2-1113−33−3-2200001-1-11-11003−33−30000−33−331-1000000000000
χ462-2-222-2-12-2-211-12-222-2-100-112-2-111−33−33-2200001-1-11-1100−33−3300003−33−31-1000000000000
χ472-2-22-2222-2-2-2-2222-2-22200-22-222-2-20000-2200002-2-22-2200000000000000-22000000000000
χ482-2-22-2222-2-2-2-222-222-2200-22-222-2-200002-20000-222-2-22000000000000002-2000000000000
χ492-2-22-22-12-2-211-122-2-22-1001-1-22-1113−3−33-220000-111-11-1003−3−3300003−3−331-1000000000000
χ502-2-22-22-12-2-211-122-2-22-1001-1-22-111−333−3-220000-111-11-100−333−30000−333−31-1000000000000
χ512-2-22-22-12-2-211-12-222-2-1001-1-22-1113−3−332-200001-1-111-1003−3−330000−333−3-11000000000000
χ522-2-22-22-12-2-211-12-222-2-1001-1-22-111−333−32-200001-1-111-100−333−300003−3−33-11000000000000
χ53444444-2-2-2-2-2-2-2-20000144-2-2-2-2111-2-2-2-2000000000011-2-211110000000000000000000000
χ54444444-2-2-2-2-2-2-2-200001-4-4-2-2-2-2111222200000000001122-1-1-1-10000000000000000000000
χ554444-4-4-2-2-2-2-2-2-2-2000014-42222111-2-2220000000000-1-1-2211-1-10000000000000000000000
χ564444-4-4-2-2-2-2-2-2-2-200001-44222211122-2-20000000000-1-12-2-1-1110000000000000000000000
χ5744-4-4004-2-224-4-420000-20000002-22000000004i−4i000000000000000000000000−2i2i00000000
χ5844-4-4004-2-224-4-420000-20000002-2200000000−4i4i0000000000000000000000002i−2i00000000
χ5944-4-400-244-4-222-44i4i−4i−4i-20000002-220000000000−2i−2i2i2i000000000000000000000000000000
χ6044-4-400-244-4-222-4−4i−4i4i4i-20000002-2200000000002i2i−2i−2i000000000000000000000000000000
χ614-44-4004-22-2-44-420000-200000022-20000004i−4i000000000000000000000000−2i2i0000000000
χ624-44-4004-22-2-44-420000-200000022-2000000−4i4i0000000000000000000000002i−2i0000000000
χ634-44-400-24-442-22-44i−4i4i−4i-200000022-20000000000−2i2i−2i2i000000000000000000000000000000
χ644-44-400-24-442-22-4−4i4i−4i4i-200000022-200000000002i−2i2i−2i000000000000000000000000000000
χ654-4-444-44-222-4-44-20000-2004-4-22-22200000000000000-220000000000000000000000000000
χ664-4-444-4-2-22222-2-20000100-22-221-1-123−2323−2300000000001-100−33−330000000000000000000000
χ674-4-444-4-2-22222-2-20000100-22-221-1-1−2323−232300000000001-1003−33−30000000000000000000000
χ684-4-44-444-222-4-44-20000-200-442-2-222000000000000002-20000000000000000000000000000
χ694-4-44-44-2-22222-2-200001002-22-21-1-123−23−23230000000000-1100−333−30000000000000000000000
χ704-4-44-44-2-22222-2-200001002-22-21-1-1−232323−230000000000-11003−3−330000000000000000000000
χ7188-8-800-4-4-44-444400002000000-22-200000000000000000000000000000000000000000000
χ728-88-800-4-44-44-44400002000000-2-2200000000000000000000000000000000000000000000

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