Finite Group Databasebeta

← Group #13168668

Character table — Group #13168668

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212444444121212123666121212121212121244412121212121212121212121212121212121212121212121212124412121212121212121212121212122244412121212121244664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1111111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111111-111-1-111-1-11-11-1-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-111-111111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11-1-11111-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111111-11-1-111-1-111-11-11-1-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11111-1-11111-1-111-1-1-1-1-1-111111111111-111-1-111-1-1-11-11-1-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-1-111-111111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111111111-11-1-111-1-1111-11-1-1-1-111-1-1-1-11-11
χ17222222-1222-1-12-122222-1-12-1-12-1-1-12-122-1-122-1-1-1-12200002222-1-1-1-122-1-1-1-1-1-1222-1-1-1-122222200000000-1-1-1-1-1-1-1-1000000-1-10000-1-1-1-12200000000000-1-10
χ18222222-1222-1-12-122222-1-12-1-12-1-1-12-122-1-122-1-1-1-12200002222-1-1-1-122-1-1-1-1-1-1-2-22-1-1-1-1-2-2-2-22200000000-1-1-1-1-1-1-1-10000001100001111-2-200000000000110
χ19222222-1222-1-12-122222-1-12-1-12-1-1-12-122-1-122-1-1-1-1-2-20000-2-2-2-2-1-1-1-122-1-1-1-1-1-122-211112222-2-20000000011111111000000-1-10000-1-1-1-1-2-200000000000110
χ20222222-1222-1-12-122222-1-12-1-12-1-1-12-122-1-122-1-1-1-1-2-20000-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-21111-2-2-2-2-2-2000000001111111100000011000011112200000000000-1-10
χ21222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-211-2-211112200002222-1-1-1-1-2-21111112-2-2-1-11122-2-2-2-200000000-1-1-1-11111000000-110000-1-1112-200000000000-110
χ22222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-211-2-211112200002222-1-1-1-1-2-2111111-22-2-1-111-2-222-2-200000000-1-1-1-111110000001-1000011-1-1-22000000000001-10
χ23222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-211-2-21111-2-20000-2-2-2-2-1-1-1-1-2-21111112-2211-1-122-2-222000000001111-1-1-1-1000000-110000-1-111-22000000000001-10
χ24222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-211-2-21111-2-20000-2-2-2-2-1-1-1-1-2-2111111-22211-1-1-2-22222000000001111-1-1-1-10000001-1000011-1-12-200000000000-110
χ2522222-1222222-122-1-12-12-1-1-1-1-1222-1-1-1-1222222220022220000-1-1-1-1-1-1-1-1-1-1-1-12200000-1-1-1-1002222-1-1-1-10000000022-1-1-1-122-1-1-1-1-1-1-1-100002-1-1000000000
χ2622222-1222222-122-1-12-12-1-1-1-1-1222-1-1-1-1222222220022220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2000001111002222-1-1-1-100000000-2-21111-2-2-1-1-1-111110000-211000000000
χ2722222-1222222-122-1-12-12-1-1-1-1-1222-1-1-1-12222222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-12200000-1-1-1-100-2-2-2-2111100000000-2-21111221111-1-1-1-10000-211000000000
χ2822222-1222222-122-1-12-12-1-1-1-1-1222-1-1-1-12222222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-2-200000111100-2-2-2-211110000000022-1-1-1-1-2-21111111100002-1-1000000000
χ2922222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-111-2-2-2-2-2-2-2-20022-2-20000-1-1-1-1111111112-200000-1-1110022-2-2-1-1110000000022-1-1-1-12-2-1-111-1-1110000-211000000000
χ3022222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-111-2-2-2-2-2-2-2-20022-2-20000-1-1-1-111111111-220000011-1-10022-2-2-1-11100000000-2-21111-22-1-11111-1-100002-1-1000000000
χ3122222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-111-2-2-2-2-2-2-2-200-2-2220000-1-1-1-1111111112-200000-1-11100-2-22211-1-100000000-2-211112-211-1-1-1-11100002-1-1000000000
χ3222222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-111-2-2-2-2-2-2-2-200-2-2220000-1-1-1-111111111-220000011-1-100-2-22211-1-10000000022-1-1-1-1-2211-1-111-1-10000-211000000000
χ332222-12222-12222-122-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-100222220000-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-100000022000-1-1-1-100000
χ342222-12222-12222-122-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-122-1-1-1-100222220000-1-11111-2-2-2-2-1-1-1-1-1-1-1-1000000001111000000-2-2000111100000
χ352222-12222-12222-122-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-1-2-222221111-1-1-1-1-1-122-1-1-1-100-2-2-2-2-2000011-1-1-1-122221111111100000000-1-1-1-1000000-2-2000111100000
χ362222-12222-12222-122-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-100-2-2-2-2-20000111111-2-2-2-21111111100000000111100000022000-1-1-1-100000
χ372222-122-2-2-12222-122-1-1-12-122-1-1-1-1-12-2-2-2-21111112222-2-2-1-1-1-1-1-1-1-111-2-2111100-222-2-2000011-1-11122-2-2-1-1-1-1111100000000-1-1110000002-2000-1-11100000
χ382222-122-2-2-12222-122-1-1-12-122-1-1-1-1-12-2-2-2-211111122-2-222-1-1-1-1-1-1-1-111-2-2111100-222-2-200001111-1-1-2-222-1-1-1-111110000000011-1-1000000-2200011-1-100000
χ392222-122-2-2-12222-122-1-1-12-122-1-1-1-1-12-2-2-2-2111111-2-222-2-21111-1-1-1-111-2-21111002-2-2220000-1-1-1-11122-2-21111-1-1-1-100000000-1-111000000-2200011-1-100000
χ402222-122-2-2-12222-122-1-1-12-122-1-1-1-1-12-2-2-2-2111111-2-2-2-2221111-1-1-1-111-2-21111002-2-2220000-1-111-1-1-2-2221111-1-1-1-10000000011-1-10000002-2000-1-11100000
χ4122-2-22222-2-2-2-222-2-2-22222-2-2-222-2-2-222-22-22-222-2-2002i−2i2i−2i00002-2-222-22-222-2-200000000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i00000000000000000000
χ4222-2-22222-2-2-2-222-2-2-22222-2-2-222-2-2-222-22-22-222-2-200−2i2i−2i2i00002-2-222-22-222-2-20000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000000000
χ4322-2-2222-22-2-2-222-2-2-22222-2-2-222-2-2-22-22-22-22-2-222002i−2i−2i2i00002-2-22-22-22-2-22200000000000002i−2i−2i2i2i−2i−2i2i00000000000000002i−2i−2i2i00000000000000000000
χ4422-2-2222-22-2-2-222-2-2-22222-2-2-222-2-2-22-22-22-22-2-22200−2i2i2i−2i00002-2-22-22-22-2-2220000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i2i−2i00000000000000000000
χ4522-2-22-122-2-2-2-2-12-2112-12-1111-12-2-21-1-112-22-222-2-2002i−2i2i−2i0000-111-1-11-11-1-1110000000−i3i3−i3i3002i−2i2i−2i−ii−ii000000000033−3−300−ii−ii−i3i3−i3i3000003−3000000000
χ4622-2-22-122-2-2-2-2-12-2112-12-1111-12-2-21-1-112-22-222-2-2002i−2i2i−2i0000-111-1-11-11-1-1110000000i3−i3i3−i3002i−2i2i−2i−ii−ii0000000000−3−33300−ii−iii3−i3i3−i300000−33000000000
χ4722-2-22-122-2-2-2-2-12-2112-12-1111-12-2-21-1-112-22-222-2-200−2i2i−2i2i0000-111-1-11-11-1-1110000000−i3i3−i3i300−2i2i−2i2ii−ii−i0000000000−3−33300i−ii−i−i3i3−i3i300000−33000000000
χ4822-2-22-122-2-2-2-2-12-2112-12-1111-12-2-21-1-112-22-222-2-200−2i2i−2i2i0000-111-1-11-11-1-1110000000i3−i3i3−i300−2i2i−2i2ii−ii−i000000000033−3−300i−ii−ii3−i3i3−i3000003−3000000000
χ4922-2-22-12-22-2-2-2-12-2112-12-1111-12-2-21-11-1-22-22-2-222002i−2i−2i2i0000-111-11-11-111-1-10000000−i3i3i3−i3002i−2i−2i2i−iii−i000000000033−3−300−iii−i−i3i3i3−i300000−33000000000
χ5022-2-22-12-22-2-2-2-12-2112-12-1111-12-2-21-11-1-22-22-2-222002i−2i−2i2i0000-111-11-11-111-1-10000000i3−i3−i3i3002i−2i−2i2i−iii−i0000000000−3−33300−iii−ii3−i3−i3i3000003−3000000000
χ5122-2-22-12-22-2-2-2-12-2112-12-1111-12-2-21-11-1-22-22-2-22200−2i2i2i−2i0000-111-11-11-111-1-10000000−i3i3i3−i300−2i2i2i−2ii−i−ii0000000000−3−33300i−i−ii−i3i3i3−i3000003−3000000000
χ5222-2-22-12-22-2-2-2-12-2112-12-1111-12-2-21-11-1-22-22-2-22200−2i2i2i−2i0000-111-11-11-111-1-10000000i3−i3−i3i300−2i2i2i−2ii−i−ii000000000033−3−300i−i−iii3−i3−i3i300000−33000000000
χ5322-2-2-1222-21-2-2221-2-2-1-1-121-2-2-1-111122-22-2-11-1-111002i−2i2i−2i33−3−3-111-1-112-2-1-111000000000003−3−ii−ii2i−2i2i−2i33−3−333−3−300000000−ii−ii00000000000−i3i3−i3i300000
χ5422-2-2-1222-21-2-2221-2-2-1-1-121-2-2-1-111122-22-2-11-1-111002i−2i2i−2i−3−333-111-1-112-2-1-11100000000000−33−ii−ii2i−2i2i−2i−3−333−3−33300000000−ii−ii00000000000i3−i3i3−i300000
χ5522-2-2-1222-21-2-2221-2-2-1-1-121-2-2-1-111122-22-2-11-1-11100−2i2i−2i2i33−3−3-111-1-112-2-1-111000000000003−3i−ii−i−2i2i−2i2i33−3−333−3−300000000i−ii−i00000000000i3−i3i3−i300000
χ5622-2-2-1222-21-2-2221-2-2-1-1-121-2-2-1-111122-22-2-11-1-11100−2i2i−2i2i−3−333-111-1-112-2-1-11100000000000−33i−ii−i−2i2i−2i2i−3−333−3−33300000000i−ii−i00000000000−i3i3−i3i300000
χ5722-2-2-122-221-2-2221-2-2-1-1-121-2-2-1-11112-22-221-111-1-1002i−2i−2i2i33−3−3-111-11-1-2211-1-100000000000−33−iii−i2i−2i−2i2i33−3−3−3−33300000000−iii−i00000000000−i3i3i3−i300000
χ5822-2-2-122-221-2-2221-2-2-1-1-121-2-2-1-11112-22-221-111-1-1002i−2i−2i2i−3−333-111-11-1-2211-1-1000000000003−3−iii−i2i−2i−2i2i−3−33333−3−300000000−iii−i00000000000i3−i3−i3i300000
χ5922-2-2-122-221-2-2221-2-2-1-1-121-2-2-1-11112-22-221-111-1-100−2i2i2i−2i33−3−3-111-11-1-2211-1-100000000000−33i−i−ii−2i2i2i−2i33−3−3−3−33300000000i−i−ii00000000000i3−i3−i3i300000
χ6022-2-2-122-221-2-2221-2-2-1-1-121-2-2-1-11112-22-221-111-1-100−2i2i2i−2i−3−333-111-11-1-2211-1-1000000000003−3i−i−ii−2i2i2i−2i−3−33333−3−300000000i−i−ii00000000000−i3i3i3−i300000
χ612-2-2222200-22-2-2-22-22-2222-22-2-2-22-22-200000000002i−2i00002i−2i2i−2i22-2-2000000000002i−2i00000000000000002i−2i2i−2i00002i−2i2i−2i2i−2i0000000000000000000002-2000
χ622-2-2222200-22-2-2-22-22-2222-22-2-2-22-22-200000000002i−2i00002i−2i2i−2i22-2-2000000000002i−2i00000000000000002i−2i2i−2i0000−2i2i−2i2i−2i2i000000000000000000000-22000
χ632-2-2222200-22-2-2-22-22-2222-22-2-2-22-22-20000000000−2i2i0000−2i2i−2i2i22-2-200000000000−2i2i0000000000000000−2i2i−2i2i00002i−2i2i−2i2i−2i000000000000000000000-22000
χ642-2-2222200-22-2-2-22-22-2222-22-2-2-22-22-20000000000−2i2i0000−2i2i−2i2i22-2-200000000000−2i2i0000000000000000−2i2i−2i2i0000−2i2i−2i2i−2i2i0000000000000000000002-2000
χ6544444-2-2444-2-2-2-24-2-24-2-21-211-2-2-2-2-21-2-2-2-244-2-2-2-200000000001111-2-21111114400000-2-2-2-2000000000000000000000000-2-2000011110000000000000000
χ6644444-2-2444-2-2-2-24-2-24-2-21-211-2-2-2-2-21-2-2-2-244-2-2-2-200000000001111-2-2111111-4-4000002222000000000000000000000000220000-1-1-1-10000000000000000
χ6744444-2-2-4-44-2-2-2-24-2-24-2-21-211-2-2-2-2-212222-4-422220000000000111122-1-1-1-1-1-14-400000-2-222000000000000000000000000-22000011-1-10000000000000000
χ6844444-2-2-4-44-2-2-2-24-2-24-2-21-211-2-2-2-2-212222-4-422220000000000111122-1-1-1-1-1-1-440000022-2-20000000000000000000000002-20000-1-1110000000000000000
χ694444-24-244-2-2-24-2-244-2-21-2-2-2-2-2111-2-244-2-2-2-21111440000-2-2-2-21111-2-2-2-21111004-2-2-2-20000-2-2000000001111111100000000000000000000000000000000
χ704444-24-244-2-2-24-2-244-2-21-2-2-2-2-2111-2-244-2-2-2-21111-4-4000022221111-2-2-2-2111100-4222200002200000000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ714444-24-2-4-4-2-2-24-2-244-2-21-2-2-2-2-2111-2-2-4-42222-1-1-1-1440000-2-2-2-211112222-1-1-1-100-4-2-222000022000000001111-1-1-1-100000000000000000000000000000000
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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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χ1188-88-8-4-4-400-44-4444-4442222-22-2-2-22-2-20000006i−6i6i−6i0000000000-11-110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).