Finite Group Databasebeta

← Group #13156829

Character table — Group #13156829

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666444436666666444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244666612121212121212124444
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
χ911-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11-1i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−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
χ1011-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11-1−ii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−i−iii−i−iii
χ1111-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11i−i1111-1-1-1-1-1-1-1-11111ii−i−iii−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
χ1211-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11−ii1111-1-1-1-1-1-1-1-11111−i−iii−i−iii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiiii−i−iii−i−i
χ1311-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-1i−i-1-1-1-111111111-1-1-1-1ii−i−iii−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
χ1411-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-1−ii-1-1-1-111111111-1-1-1-1−i−iii−i−iii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−i−iiiii−i−i
χ1511-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11i−i-1-1-1-11111-1-1-1-11111ii−i−iii−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
χ1611-111-1-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11−ii-1-1-1-11111-1-1-1-11111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−iii−i−i−i−iii
χ172222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1220022-1-122-1-122-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-20022-1-122-1-1-2-211-2-21100000000-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ192222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-12200-2-211-2-21122-1-122-1-10000000011111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-211-2-211-2-211-2-2110000000011111111111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-10022-1-122-1-12200000000-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ22222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-2-1-122-1-122000000001111-2-2-2-2-1-1-1-1-1-1-1-10000000011111111000000-2-20000111100000000
χ23222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1002211-2-211-2-200000000-1-1-1-122221111111100000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ24222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-100-2-211-2-211-2-2000000001111-2-2-2-2111111110000000011111111000000220000-1-1-1-100000000
χ2522222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-10000-1-1-1-1-1-1-1-1222200000000-1-122-1-1222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ2622222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-10000-1-1-1-1-1-1-1-122-2-200000000-1-122-1-122-2-2-2-2111100000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ2722222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-10000-1-1-1-1-1-1-1-1-2-2220000000011-2-211-2-22222-1-1-1-10000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ2822222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-10000-1-1-1-1-1-1-1-1-2-2-2-20000000011-2-211-2-2-2-2-2-211110000000011111111111111112222000000000000-1-1-1-10000
χ29222-2-2-22-22222-22-22-2-22-2222-2-2-2-22-2-2-222222-2-22-22-22-2-222-2-222-2-2-2-222i−2i2i−2i22-2-222-2-200002i−2i2i−2i2i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ30222-2-2-22-22222-22-22-2-22-2222-2-2-2-22-2-2-222222-2-22-22-22-2-222-2-222-2-2-2-22−2i2i−2i2i22-2-222-2-20000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ31222-2-2-22-222-12-22-22-2-22-2-1-1-111-2-2211-222-1-12-2-2-11-112-2-2-1-111-1-1111122i−2i2i−2i-1-111-1-11100002i−2i−ii2i−2i−ii003−3003−300000000−i−iii−i−iii33−3−333−3−30000000000000000−i3i3−i3i3000000000000
χ32222-2-2-22-222-12-22-22-2-22-2-1-1-111-2-2211-222-1-12-2-2-11-112-2-2-1-111-1-1111122i−2i2i−2i-1-111-1-11100002i−2i−ii2i−2i−ii00−3300−3300000000−i−iii−i−iii−3−333−3−3330000000000000000i3−i3i3−i3000000000000
χ33222-2-2-22-222-12-22-22-2-22-2-1-1-111-2-2211-222-1-12-2-2-11-112-2-2-1-111-1-111112−2i2i−2i2i-1-111-1-1110000−2i2ii−i−2i2ii−i003−3003−300000000ii−i−iii−i−i33−3−333−3−30000000000000000i3−i3i3−i3000000000000
χ34222-2-2-22-222-12-22-22-2-22-2-1-1-111-2-2211-222-1-12-2-2-11-112-2-2-1-111-1-111112−2i2i−2i2i-1-111-1-1110000−2i2ii−i−2i2ii−i00−3300−3300000000ii−i−iii−i−i−3−333−3−3330000000000000000−i3i3−i3i3000000000000
χ35222-2-2-22-22-122-2-112-2-2-11222-2-2-21-1-2-212-12-1-1112-2-11-11122-2-2-1-111-21-12i−2i2i−2i-1-111-1-1110000−ii2i−2i−ii2i−2i00000000−i3i3−i3i30000−i−iii−i−iii00000000−i3−i3i3i3−i3−i3i3i30000000000003−33−300000000
χ36222-2-2-22-22-122-2-112-2-2-11222-2-2-21-1-2-212-12-1-1112-2-11-11122-2-2-1-111-21-12i−2i2i−2i-1-111-1-1110000−ii2i−2i−ii2i−2i00000000i3−i3i3−i30000−i−iii−i−iii00000000i3i3−i3−i3i3i3−i3−i3000000000000−33−3300000000
χ37222-2-2-22-22-122-2-112-2-2-11222-2-2-21-1-2-212-12-1-1112-2-11-11122-2-2-1-111-21-1−2i2i−2i2i-1-111-1-1110000i−i−2i2ii−i−2i2i00000000−i3i3−i3i30000ii−i−iii−i−i00000000−i3−i3i3i3−i3−i3i3i3000000000000−33−3300000000
χ38222-2-2-22-22-122-2-112-2-2-11222-2-2-21-1-2-212-12-1-1112-2-11-11122-2-2-1-111-21-1−2i2i−2i2i-1-111-1-1110000i−i−2i2ii−i−2i2i00000000i3−i3i3−i30000ii−i−iii−i−i00000000i3i3−i3−i3i3i3−i3−i30000000000003−33−300000000
χ3922-222-2-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-2-1-1-1-111112-20022-1-1-2-21122-1-1-2-21100000000-1-1-1-11111-1-1-1-111110000000000002-200-1-111000000000000
χ4022-222-2-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-2-1-1-1-11111-220022-1-1-2-211-2-21122-1-100000000-1-1-1-111111111-1-1-1-1000000000000-220011-1-1000000000000
χ4122-222-2-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-222-1-1-1-111112-200-2-21122-1-122-1-1-2-211000000001111-1-1-1-1-1-1-1-11111000000000000-220011-1-1000000000000
χ4222-222-2-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-222-1-1-1-11111-2200-2-21122-1-1-2-21122-1-1000000001111-1-1-1-11111-1-1-1-10000000000002-200-1-111000000000000
χ4322-222-2-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-1122-2-2-1-1-1-11111002i−2i-1-12211-2-200000000−i−iii2i2i−2i−2i-1-1-1-1111100000000−i−i−i−iiiii0000002i−2i0000−i−iii00000000
χ4422-222-2-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-1122-2-2-1-1-1-1111100−2i2i-1-12211-2-200000000ii−i−i−2i−2i2i2i-1-1-1-1111100000000iiii−i−i−i−i000000−2i2i0000ii−i−i00000000
χ4522-222-2-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11-2-222-1-1-1-11111002i−2i11-2-2-1-12200000000−i−iii2i2i−2i−2i1111-1-1-1-100000000−i−i−i−iiiii000000−2i2i0000ii−i−i00000000
χ4622-222-2-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11-2-222-1-1-1-1111100−2i2i11-2-2-1-12200000000ii−i−i−2i−2i2i2i1111-1-1-1-100000000iiii−i−i−i−i0000002i−2i0000−i−iii00000000
χ4722-222-2-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-1210000-1-1-1-111112-22i−2i00000000-1-12211-2-22i2i−2i−2i−i−iii00000000-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i000000000000−i−iii0000
χ4822-222-2-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-1210000-1-1-1-111112-2−2i2i00000000-1-12211-2-2−2i−2i2i2iii−i−i00000000-1-1-1-11111iiii−i−i−i−i−2i−2i2i2i000000000000ii−i−i0000
χ4922-222-2-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-1210000-1-1-1-11111-222i−2i0000000011-2-2-1-1222i2i−2i−2i−i−iii000000001111-1-1-1-1−i−i−i−iiiii−2i−2i2i2i000000000000ii−i−i0000
χ5022-222-2-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-1210000-1-1-1-11111-22−2i2i0000000011-2-2-1-122−2i−2i2i2iii−i−i000000001111-1-1-1-1iiii−i−i−i−i2i2i−2i−2i000000000000−i−iii0000
χ5122-2-2-22-222222-22-2-222-222-2-222-2-2-2-2-22-22222-2-22-22-2-222-2-222-2-222-2-2-22i−2i−2i2i22-2-2-2-22200002i−2i2i−2i−2i2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5222-2-2-22-222222-22-2-222-222-2-222-2-2-2-2-22-22222-2-22-22-2-222-2-222-2-222-2-2-2−2i2i2i−2i22-2-2-2-2220000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5322-2-2-22-2222-12-22-2-222-22-111-1-1-2-2-2112-22-1-12-2-2-11-11-22211-1-111-1-111-22i−2i−2i2i-1-11111-1-100002i−2i−ii−2i2ii−i003−300−3300000000−i−iiiii−i−i33−3−3−3−3330000000000000000−i3i3i3−i3000000000000
χ5422-2-2-22-2222-12-22-2-222-22-111-1-1-2-2-2112-22-1-12-2-2-11-11-22211-1-111-1-111-22i−2i−2i2i-1-11111-1-100002i−2i−ii−2i2ii−i00−33003−300000000−i−iiiii−i−i−3−33333−3−30000000000000000i3−i3−i3i3000000000000
χ5522-2-2-22-2222-12-22-2-222-22-111-1-1-2-2-2112-22-1-12-2-2-11-11-22211-1-111-1-111-2−2i2i2i−2i-1-11111-1-10000−2i2ii−i2i−2i−ii003−300−3300000000ii−i−i−i−iii33−3−3−3−3330000000000000000i3−i3−i3i3000000000000
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χ1364-4-4-4444-4-2-24222-22-2222-4-444-4-22-2-44-2-21-2-2-1-11222-2-11-12-2-222-2-22-22100001-1-11-111-10000000000000000000000002i3−2i3−2i32i30000000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-42222222222222222222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ138888-8-8-88-8-4-4-4-44-44-444-44-4-4-44444-4444-42222-2-22-22-22-2-222-2-222-2-2-2-220000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-888-8-8-8-4-4-4-4-4-4-444444-44444-4-44-4-4442222222222-2-2-2-2-2-2-2-2-2-2-222-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-88-88-4-4-4-44-444-4-44-4-444-4-444444-442222-2-22-22-2-222-2-222-2-222-2-2-20000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-88-8-8-4-4-44-444-4-44-444-44-444-44-44-44222-22-2-22-2-222-22-22-22-22-2-22-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-88-8-88-4-4-4444-4-44-4-4-44-444-4-4444-444222-2-22-2-2-222-222-2-222-2-222-2-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-8-888-4-4-44-44444-44-444-44-44-4-4-444-4222-22-2-22-2-2-2-22-22-22-22-22-2220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-4444-44-444444-4-44-44-44-4-4-4222-2-22-2-2-22-22-2-222-2-222-22-220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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