Finite Group Databasebeta

← Group #13156734

Character table — Group #13156734

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ91-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1i−ii−i1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1
χ101-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1i−i−ii1111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111i−i−ii-1-111ii−i−i−i−iii-1-111
χ111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1−iii−i1111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i-1-111−i−iiiii−i−i-1-111
χ121-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1−ii−ii1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1
χ131-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1i−ii−i-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii11-1-1−i−iii−i−iii-1-111
χ141-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1i−i−ii-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i-1-111−i−iiiii−i−i11-1-1
χ151-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1−iii−i-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−ii-1-111ii−i−i−i−iii11-1-1
χ161-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1−ii−ii-1-1-1-11111−i−iii−i−iii−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−i11-1-1ii−i−iii−i−i-1-111
χ172222222222-12222-1-1222222-1-122-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1000000000000
χ182222222222-12222-1-1222222-1-122-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-122-2-200000000-1-1-1-111112222-2-2-2-200000000-1-1-1-1-1-1-1-111111111-2-2-2-200001111000000000000
χ192222222222-12222-1-1222222-1-122-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-222000000001111-1-1-1-1-2-2-2-222220000000011111111-1-1-1-1-1-1-1-1-2-2-2-200001111000000000000
χ202222222222-12222-1-1222222-1-122-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-2-2-20000000011111111-2-2-2-2-2-2-2-200000000111111111111111122220000-1-1-1-1000000000000
χ21222222222-1222-1-122222-1-1-1222-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-1002222-1-122-1-1000022220000-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000002200000000-1-1-1-10000
χ22222222222-1222-1-122222-1-1-1222-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-100-2-222-1-122-1-10000-2-2-2-200001111-1-1-1-1-1-1-1-10000000011111111000000-2-20000000011110000
χ23222222222-1222-1-122222-1-1-1222-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-10022-2-211-2-211000022220000-1-1-1-11111111100000000-1-1-1-1-1-1-1-1000000-2-20000000011110000
χ24222222222-1222-1-122222-1-1-1222-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-211-2-2110000-2-2-2-2000011111111111100000000111111110000002200000000-1-1-1-10000
χ2522222222-122-1-12222-1-1-122222-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-12200-1-122-1-12222220000-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022000000-1-1-1-100000000
χ2622222222-122-1-12222-1-1-122222-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-1-2-200-1-122-1-122-2-2-2-2000011110000-1-1-1-1-1-1-1-111111111000000000000-2-2000000111100000000
χ2722222222-122-1-12222-1-1-122222-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-1220011-2-211-2-222220000-1-1-1-1000011111111-1-1-1-1-1-1-1-1000000000000-2-2000000111100000000
χ2822222222-122-1-12222-1-1-122222-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-20011-2-211-2-2-2-2-2-2000011110000111111111111111100000000000022000000-1-1-1-100000000
χ292222-2-2-2-2222-2-2-2-22-222-222-22222-2-2-2-2-2222-2-22-2-22-2-222-2-222-222-22-2-22-22-222-2-222-2-200002-22-22-22-2000000000000000022-2-222-2-20000000000000000000000000000000000000000
χ302222-2-2-2-2222-2-2-2-22-222-222-22222-2-2-2-2-2222-2-22-2-22-2-222-2-222-222-22-2-2-22-2222-2-222-2-20000-22-22-22-220000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ312222-2-2-2-22-12-2-2112-222-2-1-11222-1-2-2-2-21-12-1112-2-2-111-1-11122-2-1-11-1-212-22-2-1-111-1-11100002-2-112-2-110000000000003−33−3-1-111-1-1110000000033−3−333−3−300000000000000003−33−30000
χ322222-2-2-2-22-12-2-2112-222-2-1-11222-1-2-2-2-21-12-1112-2-2-111-1-11122-2-1-11-1-212-22-2-1-111-1-11100002-2-112-2-11000000000000−33−33-1-111-1-11100000000−3−333−3−3330000000000000000−33−330000
χ332222-2-2-2-22-12-2-2112-222-2-1-11222-1-2-2-2-21-12-1112-2-2-111-1-11122-2-1-11-1-21-22-22-1-111-1-1110000-221-1-221-10000000000003−33−311-1-111-1-10000000033−3−333−3−30000000000000000−33−330000
χ342222-2-2-2-22-12-2-2112-222-2-1-11222-1-2-2-2-21-12-1112-2-2-111-1-11122-2-1-11-1-21-22-22-1-111-1-1110000-221-1-221-1000000000000−33−3311-1-111-1-100000000−3−333−3−33300000000000000003−33−30000
χ352222-2-2-2-2-12211-2-22-2-1-1122-222-12-2-2-21-2-1-1211-1112-2-2-1-111-1-1122-2-11-22-22-2-1-111-1-1110000-112-2-112-2000000003−33−30000-1-111-1-11133−3−333−3−3000000000000000000003−33−300000000
χ362222-2-2-2-2-12211-2-22-2-1-1122-222-12-2-2-21-2-1-1211-1112-2-2-1-111-1-1122-2-11-22-22-2-1-111-1-1110000-112-2-112-200000000−33−330000-1-111-1-111−3−333−3−33300000000000000000000−33−3300000000
χ372222-2-2-2-2-12211-2-22-2-1-1122-222-12-2-2-21-2-1-1211-1112-2-2-1-111-1-1122-2-11-2-22-22-1-111-1-11100001-1-221-1-22000000003−33−3000011-1-111-1-133−3−333−3−300000000000000000000−33−3300000000
χ382222-2-2-2-2-12211-2-22-2-1-1122-222-12-2-2-21-2-1-1211-1112-2-2-1-111-1-1122-2-11-2-22-22-1-111-1-11100001-1-221-1-2200000000−33−33000011-1-111-1-1−3−333−3−333000000000000000000003−33−300000000
χ3922-2-222-2-22222-22-2-2-22-222-2-22-2-2-22-22-222222-2-22-2-22-22-22-22-222-2-2-2-2200002-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ4022-2-222-2-22222-22-2-2-22-222-2-22-2-2-22-22-222222-2-22-2-22-22-22-22-222-2-2-2-2200002-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ4122-2-2-2-222222-22-22-222-2-22-222-2-2-2-22-22-2222-22-2-22-2-222-2-222-2-22-22-22-200002-2-222-2-2200000000000000000000000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ4222-2-2-2-222222-22-22-222-2-22-222-2-2-2-22-22-2222-22-2-22-2-222-2-222-2-22-22-22-200002-2-222-2-220000000000000000000000000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ4322-2-2-2-22222-1-22-221-12-2-22-22-11-2-21-112-22-1-1-2211-111-12-2-22-111-11-1-2-110000-111-1-111-1000000000000−i3i3−i3i33−33−30000000000000000−i3i3−i3i3−i3i3−i3i33−33−33−33−32i−2i2i−2i0000−ii−ii000000000000
χ4422-2-2-2-22222-1-22-221-12-2-22-22-11-2-21-112-22-1-1-2211-111-12-2-22-111-11-1-2-110000-111-1-111-1000000000000−i3i3−i3i3−33−330000000000000000−i3i3−i3i3−i3i3−i3i3−33−33−33−33−2i2i−2i2i0000i−ii−i000000000000
χ4522-2-2-2-22222-1-22-221-12-2-22-22-11-2-21-112-22-1-1-2211-111-12-2-22-111-11-1-2-110000-111-1-111-1000000000000i3−i3i3−i33−33−30000000000000000i3−i3i3−i3i3−i3i3−i33−33−33−33−3−2i2i−2i2i0000i−ii−i000000000000
χ4622-2-2-2-22222-1-22-221-12-2-22-22-11-2-21-112-22-1-1-2211-111-12-2-22-111-11-1-2-110000-111-1-111-1000000000000i3−i3i3−i3−33−330000000000000000i3−i3i3−i3i3−i3i3−i3−33−33−33−332i−2i2i−2i0000−ii−ii000000000000
χ472-22-22-22-22222-22-2-2-2-22-2-222-22-2-2-2222-22222-2-22-2-22-2-22-22-22-2-222-22-200002-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ482-22-22-22-22222-22-2-2-2-22-2-222-22-2-2-2222-22222-2-22-2-22-2-22-22-22-2-222-22-200002-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ492-22-2-22-22222-22-22-22-222-22-2-22-2-22-2-2-22222-22-2-22-2-22-222-2-222-22-2-2-2200002-2-22-222-200000000000000000000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ502-22-2-22-22222-22-22-22-222-22-2-22-2-22-2-2-22222-22-2-22-2-22-222-2-222-22-2-2-2200002-2-22-222-20000000000000000000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ512-22-2-22-2222-1-22-221-1-222-22-21-1-2-2-111-222-1-1-2211-111-1-222-21-1-11-11-21-10000-111-11-1-110000000000003−3−33−i3i3i3−i300000000000000003−33−3−33−33−i3i3−i3i3i3−i3i3−i3−2i2i2i−2i0000i−i−ii000000000000
χ522-22-2-22-2222-1-22-221-1-222-22-21-1-2-2-111-222-1-1-2211-111-1-222-21-1-11-11-21-10000-111-11-1-110000000000003−3−33i3−i3−i3i300000000000000003−33−3−33−33i3−i3i3−i3−i3i3−i3i32i−2i−2i2i0000−iii−i000000000000
χ532-22-2-22-2222-1-22-221-1-222-22-21-1-2-2-111-222-1-1-2211-111-1-222-21-1-11-11-21-10000-111-11-1-11000000000000−333−3−i3i3i3−i30000000000000000−33−333−33−3−i3i3−i3i3i3−i3i3−i32i−2i−2i2i0000−iii−i000000000000
χ542-22-2-22-2222-1-22-221-1-222-22-21-1-2-2-111-222-1-1-2211-111-1-222-21-1-11-11-21-10000-111-11-1-11000000000000−333−3i3−i3−i3i30000000000000000−33−333−33−3i3−i3i3−i3−i3i3−i3i3−2i2i2i−2i0000i−i−ii000000000000
χ552-2-222-2-2222-12222-1-1-2-2-2-2-2-2112211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-111112i−2i2i−2i00000000−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii22-2-20000-1-111000000000000
χ562-2-222-2-2222-12222-1-1-2-2-2-2-2-2112211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-111112i−2i−2i2i00000000−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i-2-222000011-1-1000000000000
χ572-2-222-2-2222-12222-1-1-2-2-2-2-2-2112211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-11111−2i2i2i−2i00000000ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii-2-222000011-1-1000000000000
χ582-2-222-2-2222-12222-1-1-2-2-2-2-2-2112211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-11111−2i2i−2i2i00000000ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i22-2-20000-1-111000000000000
χ592-2-222-2-222-1222-1-122-2-2-2111-2-22-1-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-2122-2-2-1-1-1-11111002i−2i22-1-1-2-21100002i2i−2i−2i0000−i−iii-1-1-1-1111100000000−i−i−i−iiiii0000002i−2i00000000−i−iii0000
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χ13988-8-888-8-8-4-4-4-44-4444-44-4-444-4444-44-44-42222-2-22-2-22-22-22-22-222-2-2-2-220000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-8-888-4-4-44-44-44-4-444-44-4-44444-44-44222-22-2-22-2-222-2-222-2-22-22-22-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88-88-8-4-4-4-44-44444-444-4-44-4444-4-4-442222-2-22-2-22-2-22-22-22-2-222-22-20000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-44-44-44-44-4-44-444-444-4444-4222-22-2-22-2-22-222-2-222-22-2-2-220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-4-4-4-4-4-4-444444444-4-444-44422222222222-2-2-2-2-2-2-2-2-2-22-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-888-8-4-4-44444-4444-444-444-4-4-4-44-4-4222-2-22-2-22-2-2-2-222-2-22-2-222220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000

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