Finite Group Databasebeta

← Group #13168093

Character table — Group #13168093

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212224444121212123666121212121212121224466666612121212121212121212121212121212121212122266666666612121212122444466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-11111-1-1111111-1-1111111111111-1-1-1-1-1-1-111-1-1-111-1-11-1-1-1111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1111111-1-111111111-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111-1-1-1111-1-11111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-111-11-1-11111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-11111-11-11111-1-111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-111-1-111-11-11111-1-1-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1111111-11-1-111-1-1-1-1111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-111-111-1-1-111-11-1-11111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111111111-1-1-1-1-111111-1-1-111-1-1-1-111-1-1-111
χ17222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-120222-1-1-1-100-1-100-1-100220000000022-1-1-1-12-1-1-1-12-1-1-1-10200000-1-10000000
χ18222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-222-1-11100-1-10011002200000000-2-21111-2-1-111-2-1-1110-200000110000000
χ19222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1202-2-211-1-1001100-1-100-2-200000000-2-21111211-1-1211-1-10-200000110000000
χ20222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-211110011001100-2-20000000022-1-1-1-1-21111-211110200000-1-10000000
χ21222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-11111111120-222-1-1-1-10011001100-2-20000000022-1-1-1-12-1-1-1-1-211110-200000110000000
χ22222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-111111111-20222-1-111001100-1-100-2-200000000-2-21111-2-1-111211-1-10200000-1-10000000
χ23222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-11111111120-2-2-211-1-100-1-10011002200000000-2-21111211-1-1-2-1-1110200000-1-10000000
χ24222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-111111111-202-2-2111100-1-100-1-100220000000022-1-1-1-1-211112-1-1-1-10-200000110000000
χ2522222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1020-1-12200-1-122220022-1-1-1-1-1-1-1-1-1-10000000-1-1000-1-10020002-1-100-1-100000
χ2622222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-12222-2-21111-1-1-1-122-1-1-1-1-1-10-20-1-122001122-2-200-2-2-1-1111111110000000-1-1000-1-100-2000-211001100000
χ2722222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-102011-2-200-1-1-2-222002211-1-1-1-1-1-1-1-10000000110001100-2000-211001100000
χ2822222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-10-2011-2-20011-2-2-2-200-2-21111111111000000011000110020002-1-100-1-100000
χ2922222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-2111122-2-222-1-1-1-1-1-1-1-1-2-21111110-20-1-1220011-2-22200-2-211-1-1-1-111110000000-1-10001100-200021100-1-100000
χ3022222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-2111122-2-2-2-21111-1-1-1-1-2-2111111020-1-12200-1-1-2-2-2-20022111111-1-1-1-10000000-1-100011002000-2-1-1001100000
χ3122222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-21111-2-22222-1-1-1-1-1-1-1-1-2-21111110-2011-2-20011222200-2-2-1-1-1-1-1-11111000000011000-1-1002000-2-1-1001100000
χ3222222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-21111-2-222-2-21111-1-1-1-1-2-211111102011-2-200-1-122-2-20022-1-11111-1-1-1-1000000011000-1-100-200021100-1-100000
χ332222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-12220000222200-1-122-1-100-1-1-1-1-1-1-1-1000000-100-1-1-100-1-10022000000000-1-10
χ342222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-1-22-20000-2-22200-1-1-2-2-1-100-1-1-1-1-1-1-1-1000000100111001100-2-2000000000110
χ352222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-12-22000022-2-2001122110011111111000000-100-1-1-100-1-100-2-2000000000110
χ362222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-20000-2-2-2-20011-2-211001111111100000010011100110022000000000-1-10
χ372222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-211110000222222-1-1-1-111-2-211112-2-2000022-2-200-1-1-2-21100-1-1-1-11111000000-100-1-11001100-220000000001-10
χ382222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-211110000222222-1-1-1-111-2-21111-2-220000-2-2-2-200-1-1221100-1-1-1-1111100000010011-100-1-1002-2000000000-110
χ392222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-211110000-2-2-2-2-2-2-1-1-1-111-2-2111122-2000022220011-2-2-1-1001111-1-1-1-1000000-100-1-110011002-2000000000-110
χ402222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-211110000-2-2-2-2-2-2-1-1-1-111-2-21111-2220000-2-222001122-1-1001111-1-1-1-100000010011-100-1-100-220000000001-10
χ4122-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-2000000000000002i−2i2i2i−2i−2i2-2-220000000000000000000002i−2i0000002i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-2000000000000002i−2i2i2i−2i−2i2-2-220000000000000000000002i−2i0000002i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-200000000000000−2i2i−2i−2i2i2i2-2-22000000000000000000000−2i2i000000−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-200000000000000−2i2i−2i−2i2i2i2-2-22000000000000000000000−2i2i000000−2i−2i2i2i0000-22-2-2220000000000000000000002i−2i000
χ452-22-22222i−2i2-22-2-2-2-22-222222-2-2-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i00000022-2-22i−2i2i−2i2i2i−2i−2i0002-22-200002i−2i0000002i−2i0000000000000002-20002i−2i000000000000000000
χ462-22-22222i−2i2-22-2-2-2-22-222222-2-2-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i00000022-2-22i−2i2i−2i2i2i−2i−2i000-22-220000−2i2i000000−2i2i000000000000000-22000−2i2i000000000000000000
χ472-22-2222−2i2i2-22-2-2-2-22-222222-2-2-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i00000022-2-2−2i2i−2i2i−2i−2i2i2i0002-22-20000−2i2i000000−2i2i0000000000000002-2000−2i2i000000000000000000
χ482-22-2222−2i2i2-22-2-2-2-22-222222-2-2-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i00000022-2-2−2i2i−2i2i−2i−2i2i2i000-22-2200002i−2i0000002i−2i000000000000000-220002i−2i000000000000000000
χ492-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i2-22i−2i000000-1-111−ii−ii−i−iii0002-2-11−i3i300−ii003−3002i−2i0000000000−i3i3−i3i30-11−i3i30−ii3−300000003−30000000
χ502-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i2-22i−2i000000-1-111−ii−ii−i−iii0002-2-11i3−i300−ii00−33002i−2i0000000000i3−i3i3−i30-11i3−i30−ii−330000000−330000000
χ512-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i-22−2i2i000000-1-111−ii−ii−i−iii000-221-1−i3i300i−i003−300−2i2i0000000000i3−i3i3−i301-1−i3i30i−i3−30000000−330000000
χ522-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i-22−2i2i000000-1-111−ii−ii−i−iii000-221-1i3−i300i−i00−3300−2i2i0000000000−i3i3−i3i301-1i3−i30i−i−3300000003−30000000
χ532-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i2-2−2i2i000000-1-111i−ii−iii−i−i0002-2-11−i3i300i−i00−3300−2i2i0000000000−i3i3−i3i30-11−i3i30i−i−330000000−330000000
χ542-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i2-2−2i2i000000-1-111i−ii−iii−i−i0002-2-11i3−i300i−i003−300−2i2i0000000000i3−i3i3−i30-11i3−i30i−i3−300000003−30000000
χ552-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i-222i−2i000000-1-111i−ii−iii−i−i000-221-1−i3i300−ii00−33002i−2i0000000000i3−i3i3−i301-1−i3i30−ii−3300000003−30000000
χ562-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i-222i−2i000000-1-111i−ii−iii−i−i000-221-1i3−i300−ii003−3002i−2i0000000000−i3i3−i3i301-1i3−i30−ii3−30000000−330000000
χ572-22-22-122i−2i21-1-2-2-2-221-12-12-11-21-11-21−ii2i−2i2i−2i−i−iii2-22i−2i003−33−3-1-1112i−2i−ii−i−iii000-112-200−i3i32i−2i000000−ii3−33−3−i3−i3i3i30000000-11000−ii0000000−i3i3003−300000
χ582-22-22-122i−2i21-1-2-2-2-221-12-12-11-21-11-21−ii2i−2i2i−2i−i−iii2-22i−2i00−33−33-1-1112i−2i−ii−i−iii000-112-200i3−i32i−2i000000−ii−33−33i3i3−i3−i30000000-11000−ii0000000i3−i300−3300000
χ592-22-22-122i−2i21-1-2-2-2-221-12-12-11-21-11-21−ii2i−2i2i−2i−i−iii-22−2i2i003−33−3-1-1112i−2i−ii−i−iii0001-1-2200−i3i3−2i2i000000i−i3−33−3−i3−i3i3i300000001-1000i−i0000000i3−i300−3300000
χ602-22-22-122i−2i21-1-2-2-2-221-12-12-11-21-11-21−ii2i−2i2i−2i−i−iii-22−2i2i00−33−33-1-1112i−2i−ii−i−iii0001-1-2200i3−i3−2i2i000000i−i−33−33i3i3−i3−i300000001-1000i−i0000000−i3i3003−300000
χ612-22-22-12−2i2i21-1-2-2-2-221-12-12-11-21-11-21i−i−2i2i−2i2iii−i−i2-2−2i2i003−33−3-1-111−2i2ii−iii−i−i000-112-200i3−i3−2i2i000000i−i3−33−3i3i3−i3−i30000000-11000i−i0000000i3−i3003−300000
χ622-22-22-12−2i2i21-1-2-2-2-221-12-12-11-21-11-21i−i−2i2i−2i2iii−i−i2-2−2i2i00−33−33-1-111−2i2ii−iii−i−i000-112-200−i3i3−2i2i000000i−i−33−33−i3−i3i3i30000000-11000i−i0000000−i3i300−3300000
χ632-22-22-12−2i2i21-1-2-2-2-221-12-12-11-21-11-21i−i−2i2i−2i2iii−i−i-222i−2i003−33−3-1-111−2i2ii−iii−i−i0001-1-2200i3−i32i−2i000000−ii3−33−3i3i3−i3−i300000001-1000−ii0000000−i3i300−3300000
χ642-22-22-12−2i2i21-1-2-2-2-221-12-12-11-21-11-21i−i−2i2i−2i2iii−i−i-222i−2i00−33−33-1-111−2i2ii−iii−i−i0001-1-2200−i3i32i−2i000000−ii−33−33−i3−i3i3i300000001-1000−ii0000000i3−i3003−300000
χ6544444-2-244-2-2-24-24-24-2-2-21-21-2-21-2-2-21-2-244-2-2-2-2-2-244440000001111-2-2111111000-2-2-2-20000-2-2000000-2-20000000000000001100011000000000000000000
χ6644444-2-244-2-2-24-24-24-2-2-21-21-2-21-2-2-21-2-244-2-2-2-2-2-2-4-4-4-40000001111-2-2111111000222200002200000022000000000000000-1-1000-1-1000000000000000000
χ6744444-2-2-4-4-2-2-24-24-24-2-2-21-21-2-21-2-2-2122-4-422222244-4-4000000111122-1-1-1-1-1-1000-2-2-2-20000220000002200000000000000011000-1-1000000000000000000
χ6844444-2-2-4-4-2-2-24-24-24-2-2-21-21-2-21-2-2-2122-4-4222222-4-444000000111122-1-1-1-1-1-100022220000-2-2000000-2-2000000000000000-1-100011000000000000000000
χ694444-24-244-244-2-2-2-2-24-21-21-2-21-2-2-21-244-2-2-2-2-2-2-2-20000000000111111-2-211114040000-2-2000000-2-2000000000000000000-20011-200110000000000000000
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χ1064-4-44-24400-4-4-4-242-424-2-242-422-42-2-2400000000000000000000-22-22000000000000000000000000023−2300000023−23−232300000000000000000000000000000000
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χ1084-4-44-2-2400-422-242-42-21-2-222-122-11-2-20000003i−3i−3i3i000000−2i32i32i3−2i31-11-100003i−3i−3i3i0000000000000000023−2300i3−i3−i3i3−333−300000000000000000000000000000000
χ1094-4-44-2-2400-422-242-42-21-2-222-122-11-2-20000003i−3i−3i3i0000002i3−2i3−2i32i31-11-100003i−3i−3i3i00000000000000000−232300−i3i3i3−i33−3−3300000000000000000000000000000000
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χ1114-4-44-2-2400-422-242-42-21-2-222-122-11-2-2000000−3i3i3i−3i0000002i3−2i3−2i32i31-11-10000−3i3i3i−3i0000000000000000023−2300−i3i3i3−i3−333−300000000000000000000000000000000
χ1128888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ11488-8-88-4-4004-44-848-4-84-4-424-2-4-42444-2000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-8-4-4-4004-4444-4-444222-2-2222-2-2-2-2000000-66-660000000000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-48i−8i-44-44444-4422222-2-2-22-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4−8i8i-44-44444-4422222-2-2-22-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000
χ1208-8-888-4-4004448-4-84-8-4-4-424-244-24-4-42000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-48-4004-8-8-4-44448-42-4-244-244-42-4000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-400444-4-4444-4222-2-2-2-2-2-22220000006i−6i−6i6i0000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-400444-4-4444-4222-2-2-2-2-2-2222000000−6i6i6i−6i0000000000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000

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