Finite Group Databasebeta

← Group #13156834

Character table — Group #13156834

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
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
χ911-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11-1i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i11-1-1ii−i−iii−i−iii−i−i
χ1011-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11-1−ii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−i−iii−i−iii
χ1111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11i−i1111-1-1-1-1-1-111-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i-1-111ii−i−i−i−iii−i−iii
χ1211-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11−ii1111-1-1-1-1-1-111-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiiii−i−iii−i−i
χ1311-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-1i−i-1-1-1-1111111-1-111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-111−i−iiiii−i−i−i−iii
χ1411-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-1−ii-1-1-1-1111111-1-111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−i−iiiii−i−i
χ1511-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11i−i-1-1-1-11111-1-111-1-111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii11-1-1−i−iii−i−iiiii−i−i
χ1611-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11−ii-1-1-1-11111-1-111-1-111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−iii−i−i−i−iii
χ172222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1220022-1-122-1-12222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-20022-1-122-1-1-2-2-2-2111100000000-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ192222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-12200-2-211-2-2112222-1-1-1-10000000011111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-211-2-211-2-2-2-211110000000011111111111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-1222200000000-1-1-1-1222222-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ22222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-122-2-200000000-1-1-1-12222-2-211-2-21100000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ23222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-222000000001111-2-2-2-222-1-122-1-10000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ24222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-2-2-2000000001111-2-2-2-2-2-211-2-2110000000011111111111111112222000000000000-1-1-1-10000
χ2522222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-10022-1-122-1-12200000000-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ2622222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-100-2-2-1-122-1-1220000000011-2-211-2-2-1-1-1-1-1-1-1-10000000011111111000000-2-20000111100000000
χ2722222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-1002211-2-211-2-200000000-1-122-1-1221111111100000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ2822222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-100-2-211-2-211-2-20000000011-2-211-2-2111111110000000011111111000000220000-1-1-1-100000000
χ29222-2-2-22-22222-22-222-2-22-2-222-2-2-2-2-2-2222222-2-22-22-22-2-222-2-222-2-2-2-22000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ30222-2-2-22-22222-22-222-2-22-2-222-2-2-2-2-2-2222222-2-22-22-22-2-222-2-222-2-2-2-22000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ3122-22-2-2-222222-22-22-222-222-2-222-2-2-2-2-2-22222-2-22-22-2-222-2-222-2-222-2-2-2000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000002-2-22
χ3222-22-2-2-222222-22-22-222-222-2-222-2-2-2-2-2-22222-2-22-22-2-222-2-222-2-222-2-2-2000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000-222-2
χ3322-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-2-1-1-1-111112-20022-1-1-2-21122-2-2-1-11100000000-1-1-1-11111-1-1-1-111110000000000002-200-1-111000000000000
χ3422-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-2-1-1-1-11111-220022-1-1-2-211-2-22211-1-100000000-1-1-1-111111111-1-1-1-1000000000000-220011-1-1000000000000
χ3522-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-222-1-1-1-111112-200-2-21122-1-122-2-2-1-111000000001111-1-1-1-1-1-1-1-11111000000000000-220011-1-1000000000000
χ3622-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-222-1-1-1-11111-2200-2-21122-1-1-2-22211-1-1000000001111-1-1-1-11111-1-1-1-10000000000002-200-1-111000000000000
χ3722-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-111112-22i−2i00000000-1-11122-2-22i2i−i−i−2i−2iii00000000-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i000000000000−i−iii0000
χ3822-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-111112-2−2i2i00000000-1-11122-2-2−2i−2iii2i2i−i−i00000000-1-1-1-11111iiii−i−i−i−i−2i−2i2i2i000000000000ii−i−i0000
χ3922-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-11111-222i−2i0000000011-1-1-2-2222i2i−i−i−2i−2iii000000001111-1-1-1-1−i−i−i−iiiii−2i−2i2i2i000000000000ii−i−i0000
χ4022-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-11111-22−2i2i0000000011-1-1-2-222−2i−2iii2i2i−i−i000000001111-1-1-1-1iiii−i−i−i−i2i2i−2i−2i000000000000−i−iii0000
χ4122-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-12122-2-2-1-1-1-11111002i−2i-1-12211-2-200000000−i−i2i2iii−2i−2i-1-1-1-1111100000000−i−i−i−iiiii0000002i−2i0000−i−iii00000000
χ4222-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-12122-2-2-1-1-1-1111100−2i2i-1-12211-2-200000000ii−2i−2i−i−i2i2i-1-1-1-1111100000000iiii−i−i−i−i000000−2i2i0000ii−i−i00000000
χ4322-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-121-2-222-1-1-1-11111002i−2i11-2-2-1-12200000000−i−i2i2iii−2i−2i1111-1-1-1-100000000−i−i−i−iiiii000000−2i2i0000ii−i−i00000000
χ4422-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-121-2-222-1-1-1-1111100−2i2i11-2-2-1-12200000000ii−2i−2i−i−i2i2i1111-1-1-1-100000000iiii−i−i−i−i0000002i−2i0000−i−iii00000000
χ452-2222-2-2-2222-2-2-22-222-222-22-22-22-22-2-2-2222-22-2-2-2-2222-22-22-22-22-22-2-22-22-22-22-22-22-200002-22-22-22-2000000000000000022-2-222-2-20000000000000000000000000000000000000000
χ462-2222-2-2-2222-2-2-22-222-222-22-22-22-22-2-2-2222-22-2-2-2-2222-22-22-22-22-22-2-2-22-222-22-22-22-20000-22-22-22-220000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ472-2222-2-2-222-1-2-2-22122-222-2-11-112-2-11-2-22-1-1-22-2111-122-2-11-11-11-11-11-22-22-2-11-11-11-1100002-2-112-2-1100003−33−300000000-1-111-1-11133−3−333−3−300000000000000003−33−3000000000000
χ482-2222-2-2-222-1-2-2-22122-222-2-11-112-2-11-2-22-1-1-22-2111-122-2-11-11-11-11-11-22-22-2-11-11-11-1100002-2-112-2-110000−33−3300000000-1-111-1-111−3−333−3−3330000000000000000−33−33000000000000
χ492-2222-2-2-222-1-2-2-22122-222-2-11-112-2-11-2-22-1-1-22-2111-122-2-11-11-11-11-11-2-22-22-11-11-11-110000-221-1-221-100003−33−30000000011-1-111-1-133−3−333−3−30000000000000000−33−33000000000000
χ502-2222-2-2-222-1-2-2-22122-222-2-11-112-2-11-2-22-1-1-22-2111-122-2-11-11-11-11-11-2-22-22-11-11-11-110000-221-1-221-10000−33−330000000011-1-111-1-1−3−333−3−33300000000000000003−33−3000000000000
χ512-2222-2-2-2-12211-22-2-1-1122-22-22-2-1-22-21-2-1-121-1111-22-1-11-11-112-22-2-1-212-22-2-11-11-11-110000-112-2-112-2000000003−3003−300-1-111-1-1110000000033−3−333−3−30000000000003−33−300000000
χ522-2222-2-2-2-12211-22-2-1-1122-22-22-2-1-22-21-2-1-121-1111-22-1-11-11-112-22-2-1-212-22-2-11-11-11-110000-112-2-112-200000000−3300−3300-1-111-1-11100000000−3−333−3−333000000000000−33−3300000000
χ532-2222-2-2-2-12211-22-2-1-1122-22-22-2-1-22-21-2-1-121-1111-22-1-11-11-112-22-2-1-21-22-22-11-11-11-1100001-1-221-1-22000000003−3003−30011-1-111-1-10000000033−3−333−3−3000000000000−33−3300000000
χ542-2222-2-2-2-12211-22-2-1-1122-22-22-2-1-22-21-2-1-121-1111-22-1-11-11-112-22-2-1-21-22-22-11-11-11-1100001-1-221-1-2200000000−3300−330011-1-111-1-100000000−3−333−3−3330000000000003−33−300000000
χ552-22-2-22-22222-22-2-2-22-222-222-2-22-22-22-2-2222-2-22-22-2-22-222-2-222-2-22-22-200002-2-222-2-2200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ562-22-2-22-22222-22-2-2-22-222-222-2-22-22-22-2-2222-2-22-22-2-22-222-2-222-2-22-22-200002-2-222-2-220000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ572-22-2-22-222-12-2211-22-22-11-12-2-22-2-1-22-21-12-111-1-2211-11-12-2-22-111-1-2-110000-111-1-111-1000000000000−i3i3−i3i30000003−3003−300000000−i3i3−i3i3−i3i3−i3i33−33−33−33−32i−2i2i−2i000000000000−ii−ii0000
χ582-22-2-22-222-12-2211-22-22-11-12-2-22-2-1-22-21-12-111-1-2211-11-12-2-22-111-1-2-110000-111-1-111-1000000000000−i3i3−i3i3000000−3300−3300000000−i3i3−i3i3−i3i3−i3i3−33−33−33−33−2i2i−2i2i000000000000i−ii−i0000
χ592-22-2-22-222-12-2211-22-22-11-12-2-22-2-1-22-21-12-111-1-2211-11-12-2-22-111-1-2-110000-111-1-111-1000000000000i3−i3i3−i30000003−3003−300000000i3−i3i3−i3i3−i3i3−i33−33−33−33−3−2i2i−2i2i000000000000i−ii−i0000
χ602-22-2-22-222-12-2211-22-22-11-12-2-22-2-1-22-21-12-111-1-2211-11-12-2-22-111-1-2-110000-111-1-111-1000000000000i3−i3i3−i3000000−3300−3300000000i3−i3i3−i3i3−i3i3−i3−33−33−33−332i−2i2i−2i000000000000−ii−ii0000
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χ1438-8-88-888-8-4-4-44-44444-444-444-4-444-44-4-4-4222-2-22-22-2-2-22-2-222-2-222-2-2220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-88-888-4-4-4444-4444-444-44-44-4-44-44-4-4222-22-2-2-2-22-2-22-22-22-22-222-220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000

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