Finite Group Databasebeta

← Group #13156830

Character table — Group #13156830

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666444436666666444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
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
χ911-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1i−i1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1
χ1011-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1i−i-11ii−i−iiiii−i−i−i−i-1-1-1-11111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii−i−iii-1-111
χ1111-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1−ii1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111−i−iiiii−i−i-1-111
χ1211-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1−ii-11ii−i−i−i−i−i−iiiii-1-1-1-11111ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111ii−i−i−i−iii11-1-1
χ1311-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1i−i1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111ii−i−i−i−iii-1-111
χ1411-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1i−i-11−i−iiiiiii−i−i−i−i-1-1-1-11111−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111−i−iiiii−i−i11-1-1
χ1511-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−ii1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii−i−iii11-1-1
χ1611-11-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−ii-11−i−iii−i−i−i−iiiii-1-1-1-11111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−iii−i−i-1-111
χ172222222222-1222222222-1-1-1-1-1222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-122-1-122-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-1222222222-1-1-1-1-1222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-200-1-1-1-1-2-211-2-211000000002222-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ192222222222-1222222222-1-1-1-1-1222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-12200111122-1-122-1-100000000-2-2-2-211111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-1222222222-1-1-1-1-1222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2001111-2-211-2-21100000000-2-2-2-211111111111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-122220000-1-122-1-12222-1-122-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000
χ22222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-122-2-20000-1-122-1-122-2-211-2-211000000000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000111100000000
χ23222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-222000011-2-211-2-222-1-122-1-100000000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000
χ24222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-2-2-2000011-2-211-2-2-2-211-2-2110000000000001111111111111111222200000000-1-1-1-100000000
χ2522222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-10022222200000000-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000002200000000-1-1-1-10000
χ2622222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100-2-222220000000011-2-211-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000-2-20000000011110000
χ2722222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-200000000-1-122-1-12211111111111100000000-1-1-1-1-1-1-1-1000000-2-20000000011110000
χ2822222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-2-2-20000000011-2-211-2-211111111111100000000111111110000002200000000-1-1-1-10000
χ29222-2-2-22-22222-22-22-2-2222-2-22-2-2-2-22-2-222222-22-2-22-2-222-2-22-2-222-2-22-2000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ30222-2-2-22-22222-22-22-2-2222-2-22-2-2-2-22-2-222222-22-2-22-2-222-2-22-2-222-2-22-2000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ3122-22-2-2-2222-12222-2-2-2-2-2-1-1-11122-211-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i-1-1-1-111112i−2i00−i−iii2i2i−i−i−2i−2iii000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000002-200-1-111000000000000
χ3222-22-2-2-2222-12222-2-2-2-2-2-1-1-11122-211-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i-1-1-1-11111−2i2i00−i−iii−2i−2iii2i2i−i−i000000002i2i−2i−2i−i−i−i−iiiiiiiii−i−i−i−i000000000000-220011-1-1000000000000
χ3322-22-2-2-2222-12222-2-2-2-2-2-1-1-11122-211-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i-1-1-1-111112i−2i00ii−i−i2i2i−i−i−2i−2iii00000000−2i−2i2i2iiiii−i−i−i−i−i−i−i−iiiii000000000000-220011-1-1000000000000
χ3422-22-2-2-2222-12222-2-2-2-2-2-1-1-11122-211-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i-1-1-1-11111−2i2i00ii−i−i−2i−2iii2i2i−i−i00000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000002-200-1-111000000000000
χ3522-22-2-2-222-1222-1-1-2-2-211222-2-22-11-2-21-2-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-111112i−2i2-20000−i−i2i2iii−2i−2i22-1-1-2-211000000000000−i−i−i−iiiii-1-1-1-111112i2i−2i−2i00000000−i−iii00000000
χ3622-22-2-2-222-1222-1-1-2-2-211222-2-22-11-2-21-2-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-111112i−2i-220000−i−i2i2iii−2i−2i-2-21122-1-1000000000000−i−i−i−iiiii1111-1-1-1-1−2i−2i2i2i00000000ii−i−i00000000
χ3722-22-2-2-222-1222-1-1-2-2-211222-2-22-11-2-21-2-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-11111−2i2i2-20000ii−2i−2i−i−i2i2i22-1-1-2-211000000000000iiii−i−i−i−i-1-1-1-11111−2i−2i2i2i00000000ii−i−i00000000
χ3822-22-2-2-222-1222-1-1-2-2-211222-2-22-11-2-21-2-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-11111−2i2i-220000ii−2i−2i−i−i2i2i-2-21122-1-1000000000000iiii−i−i−i−i1111-1-1-1-12i2i−2i−2i00000000−i−iii00000000
χ3922-22-2-2-22-122-1-122111-2-2222-2-2-12-2-2-2-21-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i-1-1-1-11111002-22i2i−2i−2i00000000-1-12211-2-2−i−iii−i−i−i−iiiii00000000-1-1-1-111110000002i−2i00000000−i−iii0000
χ4022-22-2-2-22-122-1-122111-2-2222-2-2-12-2-2-2-21-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i-1-1-1-1111100-222i2i−2i−2i0000000011-2-2-1-122−i−iii−i−i−i−iiiii000000001111-1-1-1-1000000−2i2i00000000ii−i−i0000
χ4122-22-2-2-22-122-1-122111-2-2222-2-2-12-2-2-2-21-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i-1-1-1-11111002-2−2i−2i2i2i00000000-1-12211-2-2ii−i−iiiii−i−i−i−i00000000-1-1-1-11111000000−2i2i00000000ii−i−i0000
χ4222-22-2-2-22-122-1-122111-2-2222-2-2-12-2-2-2-21-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i-1-1-1-1111100-22−2i−2i2i2i0000000011-2-2-1-122ii−i−iiiii−i−i−i−i000000001111-1-1-1-10000002i−2i00000000−i−iii0000
χ4322-2-222-2-22222-22-2-222-2-22-2-2-22-2-22-222-22222-22-2-22-2-2-2-222-222-2-22-2-22000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ4422-2-222-2-22222-22-2-222-2-22-2-2-22-2-22-222-22222-22-2-22-2-2-2-222-222-2-22-2-22000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ452-222-22-2-2222-2-2-2-222-22-2-22-22222-2-2-22-2222-2-2-22-2-22-22-22-222-22-222-2-22i−2i2i−2i2-22-22-22-200002i−2i2i−2i00000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ462-222-22-2-2222-2-2-2-222-22-2-22-22222-2-2-22-2222-2-2-22-2-22-22-22-222-22-222-2-2−2i2i−2i2i2-22-22-22-20000−2i2i−2i2i0000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ472-222-22-2-222-1-2-2-2-222-22-21-11-1-122-2112-22-1-1-2-21-111-112-22-2-1-11-11-12112i−2i2i−2i-11-11-11-110000−ii−ii003−3003−3000000002i−2i2i−2i−i−iii−i−iii33−3−333−3−30000000000000000−i3i3−i3i3000000000000
χ482-222-22-2-222-1-2-2-2-222-22-21-11-1-122-2112-22-1-1-2-21-111-112-22-2-1-11-11-12112i−2i2i−2i-11-11-11-110000−ii−ii00−3300−33000000002i−2i2i−2i−i−iii−i−iii−3−333−3−3330000000000000000i3−i3i3−i3000000000000
χ492-222-22-2-222-1-2-2-2-222-22-21-11-1-122-2112-22-1-1-2-21-111-112-22-2-1-11-11-1211−2i2i−2i2i-11-11-11-110000i−ii−i003−3003−300000000−2i2i−2i2iii−i−iii−i−i33−3−333−3−30000000000000000i3−i3i3−i3000000000000
χ502-222-22-2-222-1-2-2-2-222-22-21-11-1-122-2112-22-1-1-2-21-111-112-22-2-1-11-11-1211−2i2i−2i2i-11-11-11-110000i−ii−i00−3300−3300000000−2i2i−2i2iii−i−iii−i−i−3−333−3−3330000000000000000−i3i3−i3i3000000000000
χ512-222-22-2-2-12211-2-2-1-112-2-22-222-12-2-2-221-1-12111-11-22-2-11-11-1-112-22-11-22i−2i2i−2i-11-11-11-1100002i−2i2i−2i00000000−i3i300−i3i300−ii−ii−i−iii−i−iii00000000−i3−i3i3i3−i3−i3i3i300000000000000003−33−30000
χ522-222-22-2-2-12211-2-2-1-112-2-22-222-12-2-2-221-1-12111-11-22-2-11-11-1-112-22-11-22i−2i2i−2i-11-11-11-1100002i−2i2i−2i00000000i3−i300i3−i300−ii−ii−i−iii−i−iii00000000i3i3−i3−i3i3i3−i3−i30000000000000000−33−330000
χ532-222-22-2-2-12211-2-2-1-112-2-22-222-12-2-2-221-1-12111-11-22-2-11-11-1-112-22-11-2−2i2i−2i2i-11-11-11-110000−2i2i−2i2i00000000−i3i300−i3i300i−ii−iii−i−iii−i−i00000000−i3−i3i3i3−i3−i3i3i30000000000000000−33−330000
χ542-222-22-2-2-12211-2-2-1-112-2-22-222-12-2-2-221-1-12111-11-22-2-11-11-1-112-22-11-2−2i2i−2i2i-11-11-11-110000−2i2i−2i2i00000000i3−i300i3−i300i−ii−iii−i−iii−i−i00000000i3i3−i3−i3i3i3−i3−i300000000000000003−33−30000
χ552-22-22-2-22222-22-222-222-2-2-222-2-2-22-22-2-2222-22-2-22-2-222-2-222-222-2-2-2-2200002-2-222-2-2200000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000
χ562-22-22-2-22222-22-222-222-2-2-222-2-2-22-22-2-2222-22-2-22-2-222-2-222-222-2-2-2-2200002-2-222-2-220000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000
χ572-22-22-2-222-12-221-12-22-11-2-222-2-21-1-221-2-12-11-1-2-2211-1-111-12-22-1111-2-10000-111-1-111-100000000−i3i300−i3i300003−3003−3000000000000−i3i3−i3i3−i3i3−i3i33−33−33−33−32i−2i2i−2i00000000−ii−ii00000000
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χ138888-8-8-88-8-4-4-4-44-44-444-4-4-444-44444-444-42222-22-2-22-2-222-2-22-2-222-2-22-20000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-8-8-88-4-4-4-4-4-4-444444-4-4-444-4-44444422222222222-2-2-2-2-2-2-2-2-2-22-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-888-8-8-4-4-4-44-444-4-444-4444-444-44-4-442222-22-2-22-2-2-2-222-222-2-22-2-220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-88-8-8-4-4-44444-4-44-444-44-4-4-4-4444-44222-2-2-22-2-22-22-22-222-22-222-2-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-88-8-88-4-4-44-44-4-44-4-4444-4-4444-44-444222-22-2-22-2-222-2-222-222-2-2-2-220000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-88-8-4-4-4444444-44-44-4444-4-4-4-4-44-4222-2-2-22-2-22-2-22-22-2-22-22-22220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8-8888-4-4-44-44-44-444-444-44-4444-44-4-4222-22-2-22-2-22-222-2-22-2-222-22-20000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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