Finite Group Databasebeta

← Group #13168580

Character table — Group #13168580

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121244444412121212366612121212121212122226666666666661212121212121212121212121212441212121266666612121212444441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1111111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111111-111-1-111-1-11-1-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1-11-11-111111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1111111-1-111-1-111-1-1-1-1-1-11111111-111-1-111-1-1-11-1-11-1-1-1-111-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1111-111-1-111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-111-1-1-1-111-1111-111-1-111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111111111-11-1-111-1-111-11-1-11-1-1-1-11111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111-11-111111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111111111-1-1-1-111-1-111-1-1-1-1111111-11-1-111-1-1111-1-11-1-1-111-1-1-1-11-11
χ17222222-122-122-12222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-100000000-1-1-1-1000000-1-1-1-1-1-100000002200000000-1-10
χ18222222-122-122-12222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12-2-222-2-2-2-2-1-1-1-1-1-1-1-100000000-1-1-1-10000001111110000000-2-200000000110
χ19222222-122-122-12222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-222-2-2222211111111000000001111000000-1-1-1-1-1-10000000-2-200000000110
χ20222222-122-122-12222-12-1-12-1-1-1-12-1-122222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2-21111111100000000111100000011111100000002200000000-1-10
χ21222222-1-2-2-122-12222-12-1-12-1-1-1-12-1-12-2-2-2-21111110000222222-1-1-1-1-2-2111111-22-2-2-222-2-2111111-1-100000000-1-1-1-1000000-11-1-11100000002-200000000-110
χ22222222-1-2-2-122-12222-12-1-12-1-1-1-12-1-12-2-2-2-21111110000222222-1-1-1-1-2-2111111-2-22-2-2-2-222111111-1-100000000-1-1-1-10000001-111-1-10000000-22000000001-10
χ23222222-1-2-2-122-12222-12-1-12-1-1-1-12-1-12-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-211111122-22222-2-2-1-1-1-1-1-111000000001111000000-11-1-1110000000-22000000001-10
χ24222222-1-2-2-122-12222-12-1-12-1-1-1-12-1-12-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-21111112-2222-2-222-1-1-1-1-1-1110000000011110000001-111-1-100000002-200000000-110
χ2522222-12222-1222-1-122-12-1-122-1-1-1-12-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-102200-1-1-1-1000000002222-1-1-1-1000022-1-1-1-122-1-1-1-1-1-1-1-100200-1-1000000000
χ2622222-12222-1222-1-122-12-1-122-1-1-1-12-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2001111000000002222-1-1-1-10000-2-21111-2-21111-1-1-1-100-20011000000000
χ2722222-12222-1222-1-122-12-1-122-1-1-1-12-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-102200-1-1-1-100000000-2-2-2-211110000-2-2111122-1-1-1-1111100-20011000000000
χ2822222-12222-1222-1-122-12-1-122-1-1-1-12-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10-2-200111100000000-2-2-2-21111000022-1-1-1-1-2-21111111100200-1-1000000000
χ2922222-12-2-22-1222-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-11111111102-200-1-1110000000022-2-2-1-111000022-1-1-1-12-2-1-111-1-11100-20011000000000
χ3022222-12-2-22-1222-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-1111111110-220011-1-10000000022-2-2-1-1110000-2-21111-2211-1-1-1-11100200-1-1000000000
χ3122222-12-2-22-1222-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-11111111102-200-1-11100000000-2-22211-1-10000-2-211112-2-1-11111-1-100200-1-1000000000
χ3222222-12-2-22-1222-1-122-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-1111111110-220011-1-100000000-2-22211-1-1000022-1-1-1-1-2211-1-111-1-100-20011000000000
χ332222-1222222-12-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1200-1-1000022-1-1-1-122-1-1-1-12222-1-1-1-1000000000000-1-1-1-12200000-1-1-1-100000
χ342222-1222222-12-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-1-200110000-2-21111-2-2-1-1-1-122221111000000000000-1-1-1-1-2-200000111100000
χ352222-1222222-12-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1200-1-1000022-1-1-1-1221111-2-2-2-2-1-1-1-10000000000001111-2-200000111100000
χ362222-1222222-12-122-12-1-12-1-1-122-12-1-122-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-200110000-2-21111-2-21111-2-2-2-2111100000000000011112200000-1-1-1-100000
χ372222-122-2-222-12-122-12-1-12-1-1-122-12-1-1-2-211-2-2111122-2-222-1-1-1-1-1-1-1-111-2-21111-200110000-2-2111122-1-11122-2-2-1-1-1-1000000000000-1-1112-200000-1-11100000
χ382222-122-2-222-12-122-12-1-12-1-1-122-12-1-1-2-211-2-2111122-2-2-2-21111-1-1-1-111-2-21111200-1-1000022-1-1-1-1-2-2-1-11122-2-21111000000000000-1-111-220000011-1-100000
χ392222-122-2-222-12-122-12-1-12-1-1-122-12-1-1-2-211-2-21111-2-22222-1-1-1-1-1-1-1-111-2-21111-200110000-2-211112211-1-1-2-222-1-1-1-100000000000011-1-1-220000011-1-100000
χ402222-122-2-222-12-122-12-1-12-1-1-122-12-1-1-2-211-2-21111-2-222-2-21111-1-1-1-111-2-21111200-1-1000022-1-1-1-1-2-211-1-1-2-222111100000000000011-1-12-200000-1-11100000
χ4122-2-2222002-2-2-22-22-2-2222-22-22-2-2-2-22000000000000002i−2i2i2i−2i−2i22-2-2000000000000000000000002i−2i000000002i2i−2i−2i2-222-2-20000000000000000000002i−2i000
χ4222-2-2222002-2-2-22-22-2-2222-22-22-2-2-2-22000000000000002i−2i2i2i−2i−2i22-2-2000000000000000000000002i−2i000000002i2i−2i−2i-22-2-222000000000000000000000−2i2i000
χ4322-2-2222002-2-2-22-22-2-2222-22-22-2-2-2-2200000000000000−2i2i−2i−2i2i2i22-2-200000000000000000000000−2i2i00000000−2i−2i2i2i2-222-2-2000000000000000000000−2i2i000
χ4422-2-2222002-2-2-22-22-2-2222-22-22-2-2-2-2200000000000000−2i2i−2i−2i2i2i22-2-200000000000000000000000−2i2i00000000−2i−2i2i2i-22-2-2220000000000000000000002i−2i000
χ452-22-22222-2-2222-2-2-2-2-2222-2-2-2-2-2222-22-22-22-222-2-22i−2i2i−2i0000002-2-222-22-222-2-2000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i0000000000000000
χ462-22-22222-2-2222-2-2-2-2-2222-2-2-2-2-2222-22-22-22-222-2-2−2i2i−2i2i0000002-2-222-22-222-2-200000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000000000
χ472-22-2222-22-2222-2-2-2-2-2222-2-2-2-2-2222-2-22-22-22-2-2222i−2i−2i2i0000002-2-22-22-22-2-222000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000002i−2i−2i2i0000000000000000
χ482-22-2222-22-2222-2-2-2-2-2222-2-2-2-2-2222-2-22-22-22-2-222−2i2i2i−2i0000002-2-22-22-22-2-22200000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000000000
χ492-22-22-122-2-2-122-211-2-2-12-11-2-211-1-121-112-22-222-2-22i−2i2i−2i000000-111-1-11-11-1-11100000−i3i3−i3i3000000002i−2i2i−2i−ii−ii0000003−33−300−i3i3−i3i3−ii−ii000003−3000000000
χ502-22-22-122-2-2-122-211-2-2-12-11-2-211-1-121-112-22-222-2-22i−2i2i−2i000000-111-1-11-11-1-11100000i3−i3i3−i3000000002i−2i2i−2i−ii−ii000000−33−3300i3−i3i3−i3−ii−ii00000−33000000000
χ512-22-22-122-2-2-122-211-2-2-12-11-2-211-1-121-112-22-222-2-2−2i2i−2i2i000000-111-1-11-11-1-11100000−i3i3−i3i300000000−2i2i−2i2ii−ii−i000000−33−3300−i3i3−i3i3i−ii−i00000−33000000000
χ522-22-22-122-2-2-122-211-2-2-12-11-2-211-1-121-112-22-222-2-2−2i2i−2i2i000000-111-1-11-11-1-11100000i3−i3i3−i300000000−2i2i−2i2ii−ii−i0000003−33−300i3−i3i3−i3i−ii−i000003−3000000000
χ532-22-22-12-22-2-122-211-2-2-12-11-2-211-1-1211-1-22-22-2-2222i−2i−2i2i000000-111-11-11-111-1-100000−i3i3i3−i3000000002i−2i−2i2i−iii−i0000003−33−300−i3i3i3−i3−iii−i00000−33000000000
χ542-22-22-12-22-2-122-211-2-2-12-11-2-211-1-1211-1-22-22-2-2222i−2i−2i2i000000-111-11-11-111-1-100000i3−i3−i3i3000000002i−2i−2i2i−iii−i000000−33−3300i3−i3−i3i3−iii−i000003−3000000000
χ552-22-22-12-22-2-122-211-2-2-12-11-2-211-1-1211-1-22-22-2-222−2i2i2i−2i000000-111-11-11-111-1-100000−i3i3i3−i300000000−2i2i2i−2ii−i−ii000000−33−3300−i3i3i3−i3i−i−ii000003−3000000000
χ562-22-22-12-22-2-122-211-2-2-12-11-2-211-1-1211-1-22-22-2-222−2i2i2i−2i000000-111-11-11-111-1-100000i3−i3−i3i300000000−2i2i2i−2ii−i−ii0000003−33−300i3−i3−i3i3i−i−ii00000−33000000000
χ572-22-2-1222-2-22-121-2-21-2-1-12111-2-2-12-112-2-112-2-1-1112i−2i2i−2i00−i3i3−i3i3-111-1-112-2-1-111000−i3i3000000−i3−i3i3i300−ii−ii2i−2i2i−2i−i3i3−i3i3000000000000−ii−ii00000003−33−300000
χ582-22-2-1222-2-22-121-2-21-2-1-12111-2-2-12-112-2-112-2-1-1112i−2i2i−2i00i3−i3i3−i3-111-1-112-2-1-111000i3−i3000000i3i3−i3−i300−ii−ii2i−2i2i−2ii3−i3i3−i3000000000000−ii−ii0000000−33−3300000
χ592-22-2-1222-2-22-121-2-21-2-1-12111-2-2-12-112-2-112-2-1-111−2i2i−2i2i00−i3i3−i3i3-111-1-112-2-1-111000−i3i3000000−i3−i3i3i300i−ii−i−2i2i−2i2i−i3i3−i3i3000000000000i−ii−i0000000−33−3300000
χ602-22-2-1222-2-22-121-2-21-2-1-12111-2-2-12-112-2-112-2-1-111−2i2i−2i2i00i3−i3i3−i3-111-1-112-2-1-111000i3−i3000000i3i3−i3−i300i−ii−i−2i2i−2i2ii3−i3i3−i3000000000000i−ii−i00000003−33−300000
χ612-22-2-122-22-22-121-2-21-2-1-12111-2-2-12-11-221-1-2211-1-12i−2i−2i2i00−i3i3−i3i3-111-11-1-2211-1-1000i3−i3000000i3i3−i3−i300−iii−i2i−2i−2i2i−i3i3−i3i3000000000000−iii−i00000003−3−3300000
χ622-22-2-122-22-22-121-2-21-2-1-12111-2-2-12-11-221-1-2211-1-12i−2i−2i2i00i3−i3i3−i3-111-11-1-2211-1-1000−i3i3000000−i3−i3i3i300−iii−i2i−2i−2i2ii3−i3i3−i3000000000000−iii−i0000000−333−300000
χ632-22-2-122-22-22-121-2-21-2-1-12111-2-2-12-11-221-1-2211-1-1−2i2i2i−2i00−i3i3−i3i3-111-11-1-2211-1-1000i3−i3000000i3i3−i3−i300i−i−ii−2i2i2i−2i−i3i3−i3i3000000000000i−i−ii0000000−333−300000
χ642-22-2-122-22-22-121-2-21-2-1-12111-2-2-12-11-221-1-2211-1-1−2i2i2i−2i00i3−i3i3−i3-111-11-1-2211-1-1000−i3i3000000−i3−i3i3i300i−i−ii−2i2i2i−2ii3−i3i3−i3000000000000i−i−ii00000003−3−3300000
χ6544444-2-244-2-24-24-2-24-2-2-21-2-2-211-21-2-2-2-244-2-2-2-2-2-200000000001111-2-211111104400-2-2-2-200000000000000000000000000-2-2111100000000000000000000
χ6644444-2-244-2-24-24-2-24-2-2-21-2-2-211-21-2-2-2-244-2-2-2-2-2-200000000001111-2-21111110-4-40022220000000000000000000000000022-1-1-1-100000000000000000000
χ6744444-2-2-4-4-2-24-24-2-24-2-2-21-2-2-211-21-2-222-4-42222220000000000111122-1-1-1-1-1-104-400-2-22200000000000000000000000000-2211-1-100000000000000000000
χ6844444-2-2-4-4-2-24-24-2-24-2-2-21-2-2-211-21-2-222-4-42222220000000000111122-1-1-1-1-1-10-440022-2-2000000000000000000000000002-2-1-11100000000000000000000
χ694444-24-244-24-2-2-244-2-2-21-2-211-2-2-2-21-244-2-2-2-21111000044-2-2-2-21111-2-2-2-21111400-2-20000-2-21111-2-200000000111100000000000000000000000000000000
χ704444-24-244-24-2-2-244-2-2-21-2-211-2-2-2-21-244-2-2-2-211110000-4-422221111-2-2-2-21111-40022000022-1-1-1-12200000000-1-1-1-100000000000000000000000000000000
χ714444-24-2-4-4-24-2-2-244-2-2-21-2-211-2-2-2-21-2-4-42222-1-1-1-1000044-2-2-2-211112222-1-1-1-1-40022000022-1-1-1-1-2-200000000111100000000000000000000000000000000
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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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χ1188-88-8-4-4-48-84-4-4-444444222-2-2-2-2-2222-2-44-44-4422-2-20000000000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000
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χ1208-8-888-4-40044-84-8-448-4-4-42-44-4-224-244000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).