Finite Group Databasebeta

← Group #13156841

Character table — Group #13156841

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666664444444412121212121212121212121212121212366666664412121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ911-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−i11-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−ii−i1-111-1-1ii−i−i1-1
χ1011-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ii11-1-1ii−i−i−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−iiiii−i−i−i−i−ii-11-1-111−i−iii-11
χ1111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1i−i11-1-1−i−iiiii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−i−i−iiiiii−i-11-1-111ii−i−i-11
χ1211-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−ii1-111-1-1−i−iii1-1
χ1311-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1i−i-1-111ii−i−iii−i−iii−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii−ii1-111-1-1−i−iii-11
χ1411-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−ii-1-111ii−i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii−i−i−i−iiiiii−i-11-1-111ii−i−i1-1
χ1511-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1i−i-1-111−i−iiiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−iiiii−i−i−i−i−ii-11-1-111−i−iii1-1
χ1611-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−ii-1-111−i−iii−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iiiii−i−i−i−ii−i1-111-1-1ii−i−i-11
χ172222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1000022220000000022222222-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022-1-1-1-1000000
χ182222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1000022220000000022222222-1-1-1-1-1-1-1-1-2-20000-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000000000-2-21111000000
χ192222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12200001111-1-1-1-122220000000011111111-1-1-1-1-1-1-1-100000000000000-2-21111000000
χ202222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2000011111111-2-2-2-20000000011111111111111110000000000000022-1-1-1-1000000
χ21222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ22222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1002222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-21111111100000000000000
χ23222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ24222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-2000000001111111111111111000000002222-1-1-1-1-1-1-1-100000000000000
χ2522222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000022000000-1-1-1-100
χ2622222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-10000-2-2-2-21111-1-1-1-1-1-1-1-10000000011111111000000000000-2-2000000111100
χ2722222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-122111100002222-1-1-1-11111111100000000-1-1-1-1-1-1-1-1000000000000-2-2000000111100
χ2822222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-211110000-2-2-2-2111111111111000000001111111100000000000022000000-1-1-1-100
χ29222-2-22-2-22222-22-22-222-22-22-2-2-222-2-2-2-22222-22-2-22-2-222-2-222-22-2-2-2-2200002-22-20000000022-2-222-2-222-2-222-2-20000002-22-2000000000000000022-2-222-2-20000000000000000000000000000000000
χ30222-2-22-2-22222-22-22-222-22-22-2-2-222-2-2-2-22222-22-2-22-2-222-2-222-22-2-2-2-220000-22-2200000000-2-222-2-22222-2-222-2-2000000-22-220000000000000000-2-222-2-2220000000000000000000000000000000000
χ31222-2-22-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-100002-22-20000000022-2-222-2-2-1-111-1-111000000-11-113−33−3000000000000-1-111-1-11133−3−333−3−300000000000000003−33−3000000
χ32222-2-22-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-100002-22-20000000022-2-222-2-2-1-111-1-111000000-11-11−33−33000000000000-1-111-1-111−3−333−3−3330000000000000000−33−33000000
χ33222-2-22-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-10000-22-2200000000-2-222-2-222-1-111-1-1110000001-11-13−33−300000000000011-1-111-1-133−3−333−3−30000000000000000−33−33000000
χ34222-2-22-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-10000-22-2200000000-2-222-2-222-1-111-1-1110000001-11-1−33−3300000000000011-1-111-1-1−3−333−3−33300000000000000003−33−3000000
χ35222-2-22-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-100002-22-233−3−333−3−3-1-111-1-111-1-111-1-1110000002-22-20000000033−3−333−3−3-1-111-1-11100000000000033−3−333−3−300000000000000
χ36222-2-22-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-100002-22-2−3−333−3−333-1-111-1-111-1-111-1-1110000002-22-200000000−3−333−3−333-1-111-1-111000000000000−3−333−3−33300000000000000
χ37222-2-22-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-10000-22-2233−3−333−3−311-1-111-1-1-1-111-1-111000000-22-220000000033−3−333−3−311-1-111-1-1000000000000−3−333−3−33300000000000000
χ38222-2-22-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-10000-22-22−3−333−3−33311-1-111-1-1-1-111-1-111000000-22-2200000000−3−333−3−33311-1-111-1-100000000000033−3−333−3−300000000000000
χ3922-22-2-22-22222-22-22-2-2-22-22-22-2-2-2-22-2222222-22-2-22-2-2-2-222-2-22-222-22-200002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-2220000002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ4022-22-2-22-22222-22-22-2-2-22-22-22-2-2-2-22-2222222-22-2-22-2-2-2-222-2-22-222-22-20000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ4122-22-2-22-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-1100002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i-1-11111-1-1000000−iii−i−i3i3i3−i3000000000000−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i30000000000000000−333−3000000
χ4222-22-2-22-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-1100002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i-1-11111-1-1000000−iii−ii3−i3−i3i3000000000000−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i300000000000000003−3−33000000
χ4322-22-2-22-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-110000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i-1-11111-1-1000000i−i−ii−i3i3i3−i3000000000000ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i300000000000000003−3−33000000
χ4422-22-2-22-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-110000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i-1-11111-1-1000000i−i−iii3−i3−i3i3000000000000ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i30000000000000000−333−3000000
χ4522-22-2-22-22-122-2-112-2-2-221-1-22-211-22-2-12-12-1-112-2-2-11111-1-1-2-221-1-112100002i−2i−2i2i33−3−3−3−333−i−iiiii−i−i-1-11111-1-10000002i−2i−2i2i0000000033−3−3−3−333−i−iiiii−i−i000000000000i3i3−i3−i3−i3−i3i3i300000000000000
χ4622-22-2-22-22-122-2-112-2-2-221-1-22-211-22-2-12-12-1-112-2-2-11111-1-1-2-221-1-112100002i−2i−2i2i−3−33333−3−3−i−iiiii−i−i-1-11111-1-10000002i−2i−2i2i00000000−3−33333−3−3−i−iiiii−i−i000000000000−i3−i3i3i3i3i3−i3−i300000000000000
χ4722-22-2-22-22-122-2-112-2-2-221-1-22-211-22-2-12-12-1-112-2-2-11111-1-1-2-221-1-11210000−2i2i2i−2i33−3−3−3−333ii−i−i−i−iii-1-11111-1-1000000−2i2i2i−2i0000000033−3−3−3−333ii−i−i−i−iii000000000000−i3−i3i3i3i3i3−i3−i300000000000000
χ4822-22-2-22-22-122-2-112-2-2-221-1-22-211-22-2-12-12-1-112-2-2-11111-1-1-2-221-1-11210000−2i2i2i−2i−3−33333−3−3ii−i−i−i−iii-1-11111-1-1000000−2i2i2i−2i00000000−3−33333−3−3ii−i−i−i−iii000000000000i3i3−i3−i3−i3−i3i3i300000000000000
χ4922-2-22-2-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-211111121100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-111112i−2i0000−i−iii−i−iii2i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii000000000000002-2-1-111000000
χ5022-2-22-2-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-211111121100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-11111−2i2i0000−i−iiiii−i−i−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i00000000000000-2211-1-1000000
χ5122-2-22-2-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-111112i−2i0000ii−i−i−i−iii2i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii00000000000000-2211-1-1000000
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χ1294-44-4-4-444-2442-2-44-4-4-2224-44-42-4-4-4444-2-2-242-222-2-4-44-222-2-2224-442-2-4000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
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χ1484-4-4-4444-4-2-242222-442-2222-4-4-2-2-244-4-2-21-2-2-1-12-222-22-11-112-2222-21-2-2-444-400002-22-2-22-22000000001-11-1-11-11002-2-22000000000000-11-111-11-1000000000000000000000000000000000000000000
χ14988888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222222222222222000000000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000
χ150888-8-88-8-8-4-4-4-44-44-44-4-44-44-4444-4-444442222-22-2-22-2-222-2-222-22-2-2-2-22000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15188-88-8-88-8-4-4-4-44-44-4444-44-44-44444-44-4-42222-22-2-22-2-2-2-222-2-22-222-22-2000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-88-8-88-4-4-4-4-4-4-4-4-44444444-4-4444-44422222222222-2-2-2-2-2-2-2-2-2-22-2-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ1538-8888-8-8-8-4-4-444444-4-44-4-4-4-4-4-4-4444444222-2-2-22-2-22-22-22-22-2222-22-2-2000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8-8-888-4-4-44-44-444-444-44-444444-4-4-4-4222-22-2-22-2-222-2-222-2-22-22-22-2000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-88-88-4-4-44-44-4444-4-44-44-444-4-44-444222-22-2-22-2-22-222-2-222-22-2-2-22000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-8-8888-8-4-4-444444-44-444444-4-4-4-4-44-4-4222-2-2-22-2-22-2-22-22-22-2-2-22222000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000

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