Finite Group Databasebeta

← Group #13168281

Character table — Group #13168281

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121222444412121212366612121212121212124446666121212121212121212121212121212121212121212124412121212661212121212121212444441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1111111-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-11-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-11-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-11111-1-111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-11-1-111-1-1-11-1-11-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1-1-1-11111-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111-11-1-111-1-1-1-111-111-1-1-1-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-1-11111-1-111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1111111-1-11-111-1-111-1-111-111-1-1-1-111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-11-111-1-111-11-1-11-1-111-1-1-1-11-11
χ17222222-12222-1-122-1222-1-12-1-1-12-1-1-1222-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-1-12200-1-1-1-1220022-1-1-1-1-1-1-1-1000000-1-100-1-1000002020-1-1-1-10000000
χ18222222-12222-1-122-1222-1-12-1-1-12-1-1-1222-1-122-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-1-20022-1-1-2-200-1-1112200-2-211111111000000-1-100-1-100000-20-2011110000000
χ19222222-12222-1-122-1222-1-12-1-1-12-1-1-1222-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1200-2-211220011-1-1-2-20022-1-1-1-1-1-1-1-100000011001100000-20-2011110000000
χ20222222-12222-1-122-1222-1-12-1-1-12-1-1-1222-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-211-2-2001111-2-200-2-211111111000000110011000002020-1-1-1-10000000
χ21222222-1-2-222-1-122-1222-1-12-1-1-12-1-1-12-2-211-2-2111122-2-222-1-1-1-1-1-1-1-111-2-21111-20022-1-1-2-2001111-2-20022-1-1-1-11111000000-1-100110000020-2011-1-10000000
χ22222222-1-2-222-1-122-1222-1-12-1-1-12-1-1-12-2-211-2-2111122-2-2-2-21111-1-1-1-111-2-2111120022-1-1220011-1-1-2-200-2-21111-1-1-1-1000000-1-1001100000-2020-1-1110000000
χ23222222-1-2-222-1-122-1222-1-12-1-1-12-1-1-12-2-211-2-21111-2-22222-1-1-1-1-1-1-1-111-2-21111-200-2-211-2-200-1-111220022-1-1-1-111110000001100-1-100000-2020-1-1110000000
χ24222222-1-2-222-1-122-1222-1-12-1-1-12-1-1-12-2-211-2-21111-2-222-2-21111-1-1-1-111-2-21111200-2-2112200-1-1-1-12200-2-21111-1-1-1-10000001100-1-10000020-2011-1-10000000
χ2522222-12222-122-1-1222-12-1-1-12-1-122-1-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1022-1-12200-1-12200-1-1-1-1000000000022-1-1-1-1-1-122-1-1-1-1-1-1200000000-1-100000
χ2622222-12222-122-1-1222-12-1-1-12-1-122-1-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-1-12200112200-1-1110000000000-2-21111-1-1-2-2-1-11111-2000000001100000
χ2722222-12222-122-1-1222-12-1-1-12-1-122-1-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-102211-2-200-1-1-2-20011-1-10000000000-2-21111112211-1-1-1-1-2000000001100000
χ2822222-12222-122-1-1222-12-1-1-12-1-122-1-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10-2-211-2-20011-2-2001111000000000022-1-1-1-111-2-2111111200000000-1-100000
χ2922222-12-2-22-122-1-1222-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-11111111102-2-1-1220011-2-20011-1-1000000000022-1-1-1-1-1-1-2211-1-111-2000000001100000
χ3022222-12-2-22-122-1-1222-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-1111111110-22-1-12200-1-1-2-20011110000000000-2-21111-1-12-21111-1-1200000000-1-100000
χ3122222-12-2-22-122-1-1222-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-11111111102-211-2-200112200-1-1-1-10000000000-2-2111111-22-1-1-1-111200000000-1-100000
χ3222222-12-2-22-122-1-1222-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-1111111110-2211-2-200-1-12200-1-111000000000022-1-1-1-1112-2-1-111-1-1-2000000001100000
χ332222-12222-1222222-1-1-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12220000-1-12200220022-1-1-1-1-1-1-1-1-1-100000000-1-100-1-1-1-10020200000000-1-10
χ342222-12222-1222222-1-1-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12-2-20000-1-1-2-2002200-2-2-1-1-1-1-1-1-1-1-1-1000000001100111100-20-200000000110
χ352222-12222-1222222-1-1-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2220000112200-2-20022111111111100000000-1-100-1-1-1-100-20-200000000110
χ362222-12222-1222222-1-1-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2000011-2-200-2-200-2-2111111111100000000110011110020200000000-1-10
χ372222-122-2-2-1222222-1-1-1-12-12-12-1-1-12-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-22-2000011-2-200-2-20022-1-1-1-1-1-11111000000001-100-1-11100-20200000000-110
χ382222-122-2-2-1222222-1-1-1-12-12-12-1-1-12-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-2-220000112200-2-200-2-2-1-1-1-1-1-1111100000000-110011-1-10020-2000000001-10
χ392222-122-2-2-1222222-1-1-1-12-12-12-1-1-12-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-211111122-20000-1-1-2-200220022111111-1-1-1-1000000001-100-1-1110020-2000000001-10
χ402222-122-2-2-1222222-1-1-1-12-12-12-1-1-12-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-21111112-220000-1-122002200-2-2111111-1-1-1-100000000-110011-1-100-20200000000-110
χ412-22-22222i−2i-2-2-2-22-22-22222-22-2-222-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i00000022-2-22i−2i2i−2i2i2i−2i−2i0002-22-200002i−2i002i−2i0000000000000000002-2002i−2i00000000000000000000
χ422-22-22222i−2i-2-2-2-22-22-22222-22-2-222-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i00000022-2-22i−2i2i−2i2i2i−2i−2i000-22-220000−2i2i00−2i2i000000000000000000-2200−2i2i00000000000000000000
χ432-22-2222−2i2i-2-2-2-22-22-22222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i00000022-2-2−2i2i−2i2i−2i−2i2i2i0002-22-20000−2i2i00−2i2i0000000000000000002-200−2i2i00000000000000000000
χ442-22-2222−2i2i-2-2-2-22-22-22222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i00000022-2-2−2i2i−2i2i−2i−2i2i2i000-22-2200002i−2i002i−2i000000000000000000-22002i−2i00000000000000000000
χ452-22-222-12i−2i-2-2112-2-1-222-1-1-2-1112-111-22i−2i−ii2i−2i−i−iii2-22i−2i00−i3−i3i3i3-1-111−ii2i−2i−i−iii0002-2-110000−ii3−32i−2i0000−i3−i3i3i333−3−3000000-1100−ii0000000003−3−i3i30000000
χ462-22-222-12i−2i-2-2112-2-1-222-1-1-2-1112-111-22i−2i−ii2i−2i−i−iii2-22i−2i00i3i3−i3−i3-1-111−ii2i−2i−i−iii0002-2-110000−ii−332i−2i0000i3i3−i3−i3−3−333000000-1100−ii000000000−33i3−i30000000
χ472-22-222-12i−2i-2-2112-2-1-222-1-1-2-1112-111-22i−2i−ii2i−2i−i−iii-22−2i2i00−i3−i3i3i3-1-111−ii2i−2i−i−iii000-221-10000i−i3−3−2i2i0000−i3−i3i3i333−3−30000001-100i−i000000000−33i3−i30000000
χ482-22-222-12i−2i-2-2112-2-1-222-1-1-2-1112-111-22i−2i−ii2i−2i−i−iii-22−2i2i00i3i3−i3−i3-1-111−ii2i−2i−i−iii000-221-10000i−i−33−2i2i0000i3i3−i3−i3−3−3330000001-100i−i0000000003−3−i3i30000000
χ492-22-222-1−2i2i-2-2112-2-1-222-1-1-2-1112-111-2−2i2ii−i−2i2iii−i−i2-2−2i2i00−i3−i3i3i3-1-111i−i−2i2iii−i−i0002-2-110000i−i−33−2i2i0000−i3−i3i3i3−3−333000000-1100i−i000000000−33−i3i30000000
χ502-22-222-1−2i2i-2-2112-2-1-222-1-1-2-1112-111-2−2i2ii−i−2i2iii−i−i2-2−2i2i00i3i3−i3−i3-1-111i−i−2i2iii−i−i0002-2-110000i−i3−3−2i2i0000i3i3−i3−i333−3−3000000-1100i−i0000000003−3i3−i30000000
χ512-22-222-1−2i2i-2-2112-2-1-222-1-1-2-1112-111-2−2i2ii−i−2i2iii−i−i-222i−2i00−i3−i3i3i3-1-111i−i−2i2iii−i−i000-221-10000−ii−332i−2i0000−i3−i3i3i3−3−3330000001-100−ii0000000003−3i3−i30000000
χ522-22-222-1−2i2i-2-2112-2-1-222-1-1-2-1112-111-2−2i2ii−i−2i2iii−i−i-222i−2i00i3i3−i3−i3-1-111i−i−2i2iii−i−i000-221-10000−ii3−32i−2i0000i3i3−i3−i333−3−30000001-100−ii000000000−33−i3i30000000
χ532-22-22-122i−2i-21-2-2-112-22-12-11-1-21-12-211−ii2i−2i2i−2i2i2i−2i−2i2-22i−2i000000-1-111−ii−ii−i−iii000-112-2003−32i−2i00−ii−i3i3000000000000−i3−i3i3i3-1100−ii−i3i33−30000000003−300000
χ542-22-22-122i−2i-21-2-2-112-22-12-11-1-21-12-211−ii2i−2i2i−2i2i2i−2i−2i2-22i−2i000000-1-111−ii−ii−i−iii000-112-200−332i−2i00−iii3−i3000000000000i3i3−i3−i3-1100−iii3−i3−33000000000−3300000
χ552-22-22-122i−2i-21-2-2-112-22-12-11-1-21-12-211−ii2i−2i2i−2i2i2i−2i−2i-22−2i2i000000-1-111−ii−ii−i−iii0001-1-22003−3−2i2i00i−i−i3i3000000000000i3i3−i3−i31-100i−i−i3i33−3000000000−3300000
χ562-22-22-122i−2i-21-2-2-112-22-12-11-1-21-12-211−ii2i−2i2i−2i2i2i−2i−2i-22−2i2i000000-1-111−ii−ii−i−iii0001-1-2200−33−2i2i00i−ii3−i3000000000000−i3−i3i3i31-100i−ii3−i3−330000000003−300000
χ572-22-22-12−2i2i-21-2-2-112-22-12-11-1-21-12-211i−i−2i2i−2i2i−2i−2i2i2i2-2−2i2i000000-1-111i−ii−iii−i−i000-112-2003−3−2i2i00i−ii3−i3000000000000i3i3−i3−i3-1100i−ii3−i33−30000000003−300000
χ582-22-22-12−2i2i-21-2-2-112-22-12-11-1-21-12-211i−i−2i2i−2i2i−2i−2i2i2i2-2−2i2i000000-1-111i−ii−iii−i−i000-112-200−33−2i2i00i−i−i3i3000000000000−i3−i3i3i3-1100i−i−i3i3−33000000000−3300000
χ592-22-22-12−2i2i-21-2-2-112-22-12-11-1-21-12-211i−i−2i2i−2i2i−2i−2i2i2i-222i−2i000000-1-111i−ii−iii−i−i0001-1-22003−32i−2i00−iii3−i3000000000000−i3−i3i3i31-100−iii3−i33−3000000000−3300000
χ602-22-22-12−2i2i-21-2-2-112-22-12-11-1-21-12-211i−i−2i2i−2i2i−2i−2i2i2i-222i−2i000000-1-111i−ii−iii−i−i0001-1-2200−332i−2i00−ii−i3i3000000000000i3i3−i3−i31-100−ii−i3i3−330000000003−300000
χ612-2-2222200-22-22-2-2-22-2222-2-222-2-2-2-22000000000000002i−2i2i−2i2i−2i2-2-220000000000000000000000000002i−2i2i−2i2i−2i00002i−2i2i−2i2i−2i0000000000000000000002-2000
χ622-2-2222200-22-22-2-2-22-2222-2-222-2-2-2-22000000000000002i−2i2i−2i2i−2i2-2-220000000000000000000000000002i−2i2i−2i2i−2i0000−2i2i−2i2i−2i2i000000000000000000000-22000
χ632-2-2222200-22-22-2-2-22-2222-2-222-2-2-2-2200000000000000−2i2i−2i2i−2i2i2-2-22000000000000000000000000000−2i2i−2i2i−2i2i00002i−2i2i−2i2i−2i000000000000000000000-22000
χ642-2-2222200-22-22-2-2-22-2222-2-222-2-2-2-2200000000000000−2i2i−2i2i−2i2i2-2-22000000000000000000000000000−2i2i−2i2i−2i2i0000−2i2i−2i2i−2i2i0000000000000000000002-2000
χ6544444-2-2444-2-2-2-2-2-244-2-21-21-21-2-2-21-2-2-2-2-244-2-2-2-24444000000111111-2-21111000-2-2-2-20000-2-200-2-200000000000000000011001100000000000000000000
χ6644444-2-2444-2-2-2-2-2-244-2-21-21-21-2-2-21-2-2-2-2-244-2-2-2-2-4-4-4-4000000111111-2-2111100022220000220022000000000000000000-1-100-1-100000000000000000000
χ6744444-2-2-4-44-2-2-2-2-2-244-2-21-21-21-2-2-21-22222-4-4222244-4-40000001111-1-122-1-1-1-1000-2-2-2-200002200220000000000000000001100-1-100000000000000000000
χ6844444-2-2-4-44-2-2-2-2-2-244-2-21-21-21-2-2-21-22222-4-42222-4-4440000001111-1-122-1-1-1-100022220000-2-200-2-2000000000000000000-1-1001100000000000000000000
χ694444-24-244-24-2-244-2-2-2-21-2-2-21-2-211-2-244-2-2-2-21111000044-2-2-2-21111-2-2-2-211114000000-2-20000-2-20000-2-21111111100000000000000000000000000000000
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χ1114-4-44-24-200242-2-4-42-22-21-2221-22-1-12-2000000-333-30000−4i4i2i−2i2i−2i1-1-110000-333-300000000000000000002i−2i−ii−ii3i−3i−3i3i00000000000000000000000000000000
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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
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χ1238-8-88-4-4-4004-44-4444-44222-2-222-2-2-2-22000000-666-60000000000-111-100003-3-330000000000000000000000000000000000000000000000000000000000000

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