Finite Group Databasebeta

← Group #13168599

Character table — Group #13168599

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121244444412121212366612121212121212122446666666612121212121212121212121212121212121222666612121212121212121212444441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1111111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111111-111-1-111-1-11-1-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-1-111-1111-11111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-11-1-1-11111-1-11-11-1111-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111-11-1-111-1-111-11-1-11-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111111111-1-111-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-1-11-1-11-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11-1111-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1111-11111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111111-1-111-1-111-1-111-1-1-1-1-1-1111111-11-1-111-1-1111-1-11-1-1-111-1-1-1-11-11
χ17222222-1222-1222-1-122-1-12-1-122-1-12-1-122-1-12222220022220000-1-1-1-1-1-1-1-1-1-1-1-1022000000002222-1-1-1-1-1-1-1-100000022-1-1-1-122-1-1-1-1-1-1-1-100200-1-1000000000
χ18222222-1222-1222-1-122-1-12-1-122-1-12-1-122-1-12222220022220000-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000002222-1-1-1-11111000000-2-21111-2-2-1-1-1-1111100-20011000000000
χ19222222-1222-1222-1-122-1-12-1-122-1-12-1-122-1-122222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-102200000000-2-2-2-21111-1-1-1-1000000-2-21111221111-1-1-1-100-20011000000000
χ20222222-1222-1222-1-122-1-12-1-122-1-12-1-122-1-122222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-10-2-200000000-2-2-2-21111111100000022-1-1-1-1-2-21111111100200-1-1000000000
χ21222222-1-2-22-1222-1-122-1-12-1-122-1-12-1-1-2-211-2-2-2-2-2-20022-2-20000-1-1-1-11111111102-20000000022-2-2-1-111-1-11100000022-1-1-1-12-2-1-111-1-11100-20011000000000
χ22222222-1-2-22-1222-1-122-1-12-1-122-1-12-1-1-2-211-2-2-2-2-2-20022-2-20000-1-1-1-1111111110-220000000022-2-2-1-11111-1-1000000-2-21111-22-1-11111-1-100200-1-1000000000
χ23222222-1-2-22-1222-1-122-1-12-1-122-1-12-1-1-2-211-2-2-2-2-2-200-2-2220000-1-1-1-11111111102-200000000-2-22211-1-1-1-111000000-2-211112-211-1-1-1-11100200-1-1000000000
χ24222222-1-2-22-1222-1-122-1-12-1-122-1-12-1-1-2-211-2-2-2-2-2-200-2-2220000-1-1-1-1111111110-2200000000-2-22211-1-111-1-100000022-1-1-1-1-2211-1-111-1-100-20011000000000
χ2522222-122222-12-122-122-1-12-1-1-12-1-12-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-120022-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-100000000-1-1-1-100000002200-1-1-1-100000
χ2622222-122222-12-122-122-1-12-1-1-12-1-12-1-1-12222-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-1-120022-1-1-1-1-1-11111-2-2-2-2000022-1-1-1-10000000011110000000-2-200111100000
χ2722222-122222-12-122-122-1-12-1-1-12-1-12-1-1-12222-1-1-1-1-2-222221111-1-1-1-122-1-1-1-1-1-1-200-2-2111111-1-1-1-122220000-2-2111100000000-1-1-1-10000000-2-200111100000
χ2822222-122222-12-122-122-1-12-1-1-12-1-12-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-1-200-2-21111111111-2-2-2-20000-2-2111100000000111100000002200-1-1-1-100000
χ2922222-12-2-222-12-122-122-1-12-1-1-12-1-12-111-2-2-2-211112222-2-2-1-1-1-1-1-1-1-1-2-2111111-200-2-2111111-1-11122-2-2000022-1-1-1-100000000-1-11100000002-200-1-11100000
χ3022222-12-2-222-12-122-122-1-12-1-1-12-1-12-111-2-2-2-2111122-2-222-1-1-1-1-1-1-1-1-2-2111111-200-2-211111111-1-1-2-222000022-1-1-1-10000000011-1-10000000-220011-1-100000
χ3122222-12-2-222-12-122-122-1-12-1-1-12-1-12-111-2-2-2-21111-2-222-2-21111-1-1-1-1-2-211111120022-1-1-1-1-1-1-1-11122-2-20000-2-2111100000000-1-1110000000-220011-1-100000
χ3222222-12-2-222-12-122-122-1-12-1-1-12-1-12-111-2-2-2-21111-2-2-2-2221111-1-1-1-1-2-211111120022-1-1-1-1-1-111-1-1-2-2220000-2-211110000000011-1-100000002-200-1-11100000
χ332222-12222-122-12222-1-12-1-12-1-1-12-1-122222-1-1-1-1-1-12200002222-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1000000002222-1-1-1-1-1-1000000-1-10000-1-1-1-12200000000000-1-10
χ342222-12222-122-12222-1-12-1-12-1-1-12-1-122222-1-1-1-1-1-12200002222-1-1-1-1-1-122-1-1-1-12-2-2-1-122-1-1-1-100000000-2-2-2-2-1-1-1-1-1-10000001100001111-2-200000000000110
χ352222-12222-122-12222-1-12-1-12-1-1-12-1-122222-1-1-1-1-1-1-2-20000-2-2-2-2-1-1-1-1-1-122-1-1-1-1-22211-2-21111000000002222111111000000-1-10000-1-1-1-1-2-200000000000110
χ362222-12222-122-12222-1-12-1-12-1-1-12-1-122222-1-1-1-1-1-1-2-20000-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-211-2-2111100000000-2-2-2-211111100000011000011112200000000000-1-10
χ372222-122-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-2-2-21111112200002222-1-1-1-111-2-21111-22-211-2-211110000000022-2-2-1-1-1-1-1-1000000-110000-1-1112-200000000000-110
χ382222-122-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-2-2-21111112200002222-1-1-1-111-2-21111-2-2211-2-2111100000000-2-222-1-1-1-1-1-10000001-1000011-1-1-22000000000001-10
χ392222-122-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-2-2-2111111-2-20000-2-2-2-2-1-1-1-111-2-2111122-2-1-122-1-1-1-10000000022-2-2111111000000-110000-1-111-22000000000001-10
χ402222-122-2-2-122-12222-1-12-1-12-1-1-12-1-12-2-2-2-2111111-2-20000-2-2-2-2-1-1-1-111-2-211112-22-1-122-1-1-1-100000000-2-2221111110000001-1000011-1-12-200000000000-110
χ4122-2-22222-2-2-22-2-22-2-22222-2-2-2-2222-2-22-22-22-222-2-2002i−2i2i−2i00002-2-222-22-222-2-2000000000002i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i00000000000000000000
χ4222-2-22222-2-2-22-2-22-2-22222-2-2-2-2222-2-22-22-22-222-2-200−2i2i−2i2i00002-2-222-22-222-2-200000000000−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i00000000000000000000
χ4322-2-2222-22-2-22-2-22-2-22222-2-2-2-2222-2-2-22-22-22-2-222002i−2i−2i2i00002-2-22-22-22-2-222000000000002i−2i−2i2i2i−2i−2i2i0000000000000000002i−2i−2i2i00000000000000000000
χ4422-2-2222-22-2-22-2-22-2-22222-2-2-2-2222-2-2-22-22-22-2-22200−2i2i2i−2i00002-2-22-22-22-2-22200000000000−2i2i2i−2i−2i2i2i−2i000000000000000000−2i2i2i−2i00000000000000000000
χ4522-2-222-12-2-212-2-2-11-22-1-1211-2-2-1-12112-2-112-222-2-2002i−2i2i−2i0000-111-1-11-11-1-111000000000002i−2i2i−2i−ii−ii3−33−300000000−i3−i3i3i300−ii−ii3−33−300000−i3i3000000000
χ4622-2-222-12-2-212-2-2-11-22-1-1211-2-2-1-12112-2-112-222-2-2002i−2i2i−2i0000-111-1-11-11-1-111000000000002i−2i2i−2i−ii−ii−33−3300000000i3i3−i3−i300−ii−ii−33−3300000i3−i3000000000
χ4722-2-222-12-2-212-2-2-11-22-1-1211-2-2-1-12112-2-112-222-2-200−2i2i−2i2i0000-111-1-11-11-1-11100000000000−2i2i−2i2ii−ii−i3−33−300000000i3i3−i3−i300i−ii−i3−33−300000i3−i3000000000
χ4822-2-222-12-2-212-2-2-11-22-1-1211-2-2-1-12112-2-112-222-2-200−2i2i−2i2i0000-111-1-11-11-1-11100000000000−2i2i−2i2ii−ii−i−33−3300000000−i3−i3i3i300i−ii−i−33−3300000−i3i3000000000
χ4922-2-222-1-22-212-2-2-11-22-1-1211-2-2-1-1211-221-1-22-2-222002i−2i−2i2i0000-111-11-11-111-1-1000000000002i−2i−2i2i−iii−i3−3−3300000000−i3−i3i3i300−iii−i3−3−3300000i3−i3000000000
χ5022-2-222-1-22-212-2-2-11-22-1-1211-2-2-1-1211-221-1-22-2-222002i−2i−2i2i0000-111-11-11-111-1-1000000000002i−2i−2i2i−iii−i−333−300000000i3i3−i3−i300−iii−i−333−300000−i3i3000000000
χ5122-2-222-1-22-212-2-2-11-22-1-1211-2-2-1-1211-221-1-22-2-22200−2i2i2i−2i0000-111-11-11-111-1-100000000000−2i2i2i−2ii−i−ii3−3−3300000000i3i3−i3−i300i−i−ii3−3−3300000−i3i3000000000
χ5222-2-222-1-22-212-2-2-11-22-1-1211-2-2-1-1211-221-1-22-2-22200−2i2i2i−2i0000-111-11-11-111-1-100000000000−2i2i2i−2ii−i−ii−333−300000000−i3−i3i3i300i−i−ii−333−300000i3−i3000000000
χ5322-2-22-122-2-2-2-1-212-2122-1-1-21112-1-1-21-112-22-2-1-111002i−2i2i−2i−i3−i3i3i3-111-12-2-11-1-11100000−i3i3−i3−i3i3i3−ii−ii2i−2i2i−2i000000−i3−i3i3i300000000−ii−ii000000000003−33−300000
χ5422-2-22-122-2-2-2-1-212-2122-1-1-21112-1-1-21-112-22-2-1-111002i−2i2i−2ii3i3−i3−i3-111-12-2-11-1-11100000i3−i3i3i3−i3−i3−ii−ii2i−2i2i−2i000000i3i3−i3−i300000000−ii−ii00000000000−33−3300000
χ5522-2-22-122-2-2-2-1-212-2122-1-1-21112-1-1-21-112-22-2-1-11100−2i2i−2i2i−i3−i3i3i3-111-12-2-11-1-11100000−i3i3−i3−i3i3i3i−ii−i−2i2i−2i2i000000−i3−i3i3i300000000i−ii−i00000000000−33−3300000
χ5622-2-22-122-2-2-2-1-212-2122-1-1-21112-1-1-21-112-22-2-1-11100−2i2i−2i2ii3i3−i3−i3-111-12-2-11-1-11100000i3−i3i3i3−i3−i3i−ii−i−2i2i−2i2i000000i3i3−i3−i300000000i−ii−i000000000003−33−300000
χ5722-2-22-12-22-2-2-1-212-2122-1-1-21112-1-1-211-1-22-2211-1-1002i−2i−2i2i−i3−i3i3i3-111-1-221-111-1-100000i3−i3i3i3−i3−i3−iii−i2i−2i−2i2i000000−i3−i3i3i300000000−iii−i000000000003−3−3300000
χ5822-2-22-12-22-2-2-1-212-2122-1-1-21112-1-1-211-1-22-2211-1-1002i−2i−2i2ii3i3−i3−i3-111-1-221-111-1-100000−i3i3−i3−i3i3i3−iii−i2i−2i−2i2i000000i3i3−i3−i300000000−iii−i00000000000−333−300000
χ5922-2-22-12-22-2-2-1-212-2122-1-1-21112-1-1-211-1-22-2211-1-100−2i2i2i−2i−i3−i3i3i3-111-1-221-111-1-100000i3−i3i3i3−i3−i3i−i−ii−2i2i2i−2i000000−i3−i3i3i300000000i−i−ii00000000000−333−300000
χ6022-2-22-12-22-2-2-1-212-2122-1-1-21112-1-1-211-1-22-2211-1-100−2i2i2i−2ii3i3−i3−i3-111-1-221-111-1-100000−i3i3−i3−i3i3i3i−i−ii−2i2i2i−2i000000i3i3−i3−i300000000i−i−ii000000000003−3−3300000
χ612-22-222200-2-2-222-22-2-2222-2-22-2-2-2-22200000000002i−2i00002i−2i2i−2i22-2-200000000000000000000000000000002i−2i2i−2i2i−2i2-22-22-20000000000000000000002i−2i000
χ622-22-222200-2-2-222-22-2-2222-2-22-2-2-2-22200000000002i−2i00002i−2i2i−2i22-2-200000000000000000000000000000002i−2i2i−2i2i−2i-22-22-22000000000000000000000−2i2i000
χ632-22-222200-2-2-222-22-2-2222-2-22-2-2-2-2220000000000−2i2i0000−2i2i−2i2i22-2-20000000000000000000000000000000−2i2i−2i2i−2i2i2-22-22-2000000000000000000000−2i2i000
χ642-22-222200-2-2-222-22-2-2222-2-22-2-2-2-2220000000000−2i2i0000−2i2i−2i2i22-2-20000000000000000000000000000000−2i2i−2i2i−2i2i-22-22-220000000000000000000002i−2i000
χ6544444-2-2444-2-24-2-2-2-24-21-2-21-2-2-21-2-21-2-2-2-244-2-2-2-200444400001111-2-211111100000000000-2-2-2-2-2-2-2-2000000000000000000111100000000000000000000
χ6644444-2-2444-2-24-2-2-2-24-21-2-21-2-2-21-2-21-2-2-2-244-2-2-2-200-4-4-4-400001111-2-21111110000000000022222222000000000000000000-1-1-1-100000000000000000000
χ6744444-2-2-4-44-2-24-2-2-2-24-21-2-21-2-2-21-2-212222-4-422220044-4-40000111122-1-1-1-1-1-100000000000-2-222-2-22200000000000000000011-1-100000000000000000000
χ6844444-2-2-4-44-2-24-2-2-2-24-21-2-21-2-2-21-2-212222-4-4222200-4-4440000111122-1-1-1-1-1-10000000000022-2-222-2-2000000000000000000-1-11100000000000000000000
χ694444-24-244-2-24-24-2-24-21-2-21-2-2-21-2-21-244-2-2-2-2-2-2-2-20000000000111111-2-211110440000000000000000-2-2-2-2000000000000-2-2000011110000000000000000
χ704444-24-244-2-24-24-2-24-21-2-21-2-2-21-2-21-244-2-2-2-2-2-2-2-20000000000111111-2-211110-4-400000000000000002222000000000000220000-1-1-1-10000000000000000
χ714444-24-2-4-4-2-24-24-2-24-21-2-21-2-2-21-2-21-2-4-42222222200000000001111-1-122-1-1-1-104-40000000000000000-2-222000000000000-22000011-1-10000000000000000
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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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χ1168-88-88-4-400-8448-44-44-8-42-44-2-444-24-420000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1188-88-8-4-4-400444-4-44-444222-2-22-2-2-2-2220000006i−6i6i−6i0000000000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
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χ1208-8-888-4-4008-44-8444-4-8-42-4-424-44-244-2000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).