Finite Group Databasebeta

← Group #13156771

Character table — Group #13156771

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order1222222233366666666666666666666633366666666666666666666644444444121212121212121212121212121212123666666644121212121212121212121212121212121212121212121212121212121212121212121212121212122222666666664444121212121212121222
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
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
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
χ9111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i1-1
χ10111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11ii−i−iii−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-11
χ11111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii-11
χ12111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-1-1-1-11111−iii−i−i−iiiii−i−i1-1
χ13111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i-11
χ14111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-1-1-1-11111i−i−iiii−i−i−i−iii1-1
χ15111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii1-1
χ16111-11-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-11
χ172222222222-122222222-1-1-1-1-1-12222-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ182222222222-122222222-1-1-1-1-1-12222-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1002222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-21111111100000000000000
χ192222222222-122222222-1-1-1-1-1-12222-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ202222222222-122222222-1-1-1-1-1-12222-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-2000000001111111111111111000000002222-1-1-1-1-1-1-1-100000000000000
χ21222222222-1222-1-122-1-12222222-12-122-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1220000-1-1-1-122-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100
χ22222222222-1222-1-122-1-12222222-12-122-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-2-20000-1-1-1-1-2-211-2-21100000000-1-1-1-1-1-1-1-11111111100000000000000-2-20000111100
χ23222222222-1222-1-122-1-12222222-12-122-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1220000111122-1-122-1-10000000011111111-1-1-1-1-1-1-1-100000000000000-2-20000111100
χ24222222222-1222-1-122-1-12222222-12-122-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-200001111-2-211-2-21100000000111111111111111100000000000000220000-1-1-1-100
χ2522222222-122-1-122-1-122222222-12-122-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-10000-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000
χ2622222222-122-1-122-1-122222222-12-122-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-1000011-2-211-2-2-1-1-1-1-1-1-1-10000000011111111000000000000-2-2001111000000
χ2722222222-122-1-122-1-122222222-12-122-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-12211110000-1-122-1-1221111111100000000-1-1-1-1-1-1-1-1000000000000-2-2001111000000
χ2822222222-122-1-122-1-122222222-12-122-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-21111000011-2-211-2-21111111100000000111111110000000000002200-1-1-1-1000000
χ29222-22-2-2-222-12222-2-2-2-2-1-1-111122-2-21-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111002i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii0000000022-2-2-1-1-1-1111100000000000000
χ30222-22-2-2-222-12222-2-2-2-2-1-1-111122-2-21-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111002i2i−2i−2i−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i00000000-2-2221111-1-1-1-100000000000000
χ31222-22-2-2-222-12222-2-2-2-2-1-1-111122-2-21-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111100−2i−2i2i2i2i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii00000000-2-2221111-1-1-1-100000000000000
χ32222-22-2-2-222-12222-2-2-2-2-1-1-111122-2-21-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111100−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i0000000022-2-2-1-1-1-1111100000000000000
χ33222-22-2-2-22-1222-1-1-2-211222-2-2-22-1-21-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-2100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-111112-20000−i−iii22-1-1-2-21100000000−i−i−i−iiiii-1-1-1-11111000000000000002i−2i0000−i−iii00
χ34222-22-2-2-22-1222-1-1-2-211222-2-2-22-1-21-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-2100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-11111-220000−i−iii-2-21122-1-100000000−i−i−i−iiiii1111-1-1-1-100000000000000−2i2i0000ii−i−i00
χ35222-22-2-2-22-1222-1-1-2-211222-2-2-22-1-21-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-111112-20000ii−i−i22-1-1-2-21100000000iiii−i−i−i−i-1-1-1-1111100000000000000−2i2i0000ii−i−i00
χ36222-22-2-2-22-1222-1-1-2-211222-2-2-22-1-21-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-11111-220000ii−i−i-2-21122-1-100000000iiii−i−i−i−i1111-1-1-1-1000000000000002i−2i0000−i−iii00
χ37222-22-2-2-2-122-1-12211-2-2222-2-2-2-121-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000-1-1-1-111112-2−i−iii0000-1-12211-2-2−i−i−i−iiiii00000000-1-1-1-111110000000000002i−2i00−i−iii000000
χ38222-22-2-2-2-122-1-12211-2-2222-2-2-2-121-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000-1-1-1-11111-22−i−iii000011-2-2-1-122−i−i−i−iiiii000000001111-1-1-1-1000000000000−2i2i00ii−i−i000000
χ39222-22-2-2-2-122-1-12211-2-2222-2-2-2-121-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000-1-1-1-111112-2ii−i−i0000-1-12211-2-2iiii−i−i−i−i00000000-1-1-1-11111000000000000−2i2i00ii−i−i000000
χ40222-22-2-2-2-122-1-12211-2-2222-2-2-2-121-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000-1-1-1-11111-22ii−i−i000011-2-2-1-122iiii−i−i−i−i000000001111-1-1-1-10000000000002i−2i00−i−iii000000
χ4122-22-2-22-22222-22-2222-22-2-222-2-2-2-2-2-2-222222-22-2-22-2-222-2-222-222-2-2-2-200002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-20000002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4222-22-2-22-22222-22-2222-22-2-222-2-2-2-2-2-2-222222-22-2-22-2-222-2-222-222-2-2-2-20000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4322-22-2-22-222-12-22-2222-2-111-1-11-2-2-2-21-222-1-12-2-111-11122-2-2-1-11-1-11-21100002i−2i2i−2i33−3−333−3−3−i−iii−i−iii-1-111-1-1110000002i−2i2i−2i0000000033−3−333−3−3−i−iii−i−iii000000000000−i3−i3i3i3−i3−i3i3i300000000000000
χ4422-22-2-22-222-12-22-2222-2-111-1-11-2-2-2-21-222-1-12-2-111-11122-2-2-1-11-1-11-21100002i−2i2i−2i−3−333−3−333−i−iii−i−iii-1-111-1-1110000002i−2i2i−2i00000000−3−333−3−333−i−iii−i−iii000000000000i3i3−i3−i3i3i3−i3−i300000000000000
χ4522-22-2-22-222-12-22-2222-2-111-1-11-2-2-2-21-222-1-12-2-111-11122-2-2-1-11-1-11-2110000−2i2i−2i2i33−3−333−3−3ii−i−iii−i−i-1-111-1-111000000−2i2i−2i2i0000000033−3−333−3−3ii−i−iii−i−i000000000000i3i3−i3−i3i3i3−i3−i300000000000000
χ4622-22-2-22-222-12-22-2222-2-111-1-11-2-2-2-21-222-1-12-2-111-11122-2-2-1-11-1-11-2110000−2i2i−2i2i−3−333−3−333ii−i−iii−i−i-1-111-1-111000000−2i2i−2i2i00000000−3−333−3−333ii−i−iii−i−i000000000000−i3−i3i3i3−i3−i3i3i300000000000000
χ4722-22-2-22-22-122-2-1122-112-2-222-2-21-21-2-2-1-12-1-112-2-2-111-1-11122-2-1-111-2100002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i-1-111-1-111000000−ii−ii003−3003−300000000−i−iii−i−iii33−3−333−3−300000000000000000000−i3i3−i3i300
χ4822-22-2-22-22-122-2-1122-112-2-222-2-21-21-2-2-1-12-1-112-2-2-111-1-11122-2-1-111-2100002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i-1-111-1-111000000−ii−ii00−3300−3300000000−i−iii−i−iii−3−333−3−33300000000000000000000i3−i3i3−i300
χ4922-22-2-22-22-122-2-1122-112-2-222-2-21-21-2-2-1-12-1-112-2-2-111-1-11122-2-1-111-210000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i-1-111-1-111000000i−ii−i003−3003−300000000ii−i−iii−i−i33−3−333−3−300000000000000000000i3−i3i3−i300
χ5022-22-2-22-22-122-2-1122-112-2-222-2-21-21-2-2-1-12-1-112-2-2-111-1-11122-2-1-111-210000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i-1-111-1-111000000i−ii−i00−3300−3300000000ii−i−iii−i−i−3−333−3−33300000000000000000000−i3i3−i3i300
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χ1244-444-4-4-44-2-242-22-2-22-2-2-44-44-442222-4-221-2-2-112-222-221-11-1-22-2-22-2-1220000000000000000000000001-11-11-11-1000000000023−230023−23000000000000000000−33−33−33−3300000000000000000000000000
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χ1304-44-4-444-4-24-22-2-442-2-4-42-222-222-4-24-224-21-22-2-11-12-222-22-2-11-12-2221-2-444-400002-22-2-22-22000000001-11-1-11-11002-2-22000000000000-11-111-11-1000000000000000000000000000000000000000000
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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
χ150888-88-8-8-8-4-4-4-4-4-4-44444-4-4-4444-4-44444422222222222-2-2-2-2-2-2-2-2-2-22-2-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ15188-88-8-88-8-4-4-4-44-44-4-4-44-444-4-44444444-42222-22-2-22-2-222-2-222-222-2-2-2-2000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8-88-88-4-4-4-44-44444-4-44444-444-4-4-4-442222-22-2-22-2-2-2-222-2-22-2-22-222000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1538-888-8-8-88-4-4-44-44-4-44-4-44-44-44-444444-44222-22-22-2-22-22-22-22-222-22-2-2-2000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8-888-8-4-4-44-44-44-4444-444-4444-4-4-44-4222-22-22-2-22-2-22-22-22-2-22-2-222000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-8888-8-8-4-4-44444-44-4444-4-444-4-4-4-4-444222-2-2-2-22-2-222-2-222-2-22-2-2222000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-8-88-888-4-4-444444-44-444-44-4-4-4-4444-4-4222-2-2-2-22-2-22-222-2-222-2222-2-2000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000

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