Finite Group Databasebeta

← Group #13156773

Character table — Group #13156773

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666444436666666444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244666612121212121212122222
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
χ9111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1i−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1
χ10111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1i−i-11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii−i−iii-1-111
χ11111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1−ii1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111ii−i−i−i−iii-1-111
χ12111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111−i−iiiii−i−i11-1-1
χ13111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1i−i1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111−i−iiiii−i−i-1-111
χ14111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1i−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111ii−i−i−i−iii11-1-1
χ15111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii−i−iii11-1-1
χ16111-11-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−ii-11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−iii−i−i-1-111
χ172222222222-122222222-1-1-1-1-12222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1220022-1-122-1-122-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-122222222-1-1-1-1-12222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-20022-1-122-1-1-2-211-2-21100000000-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ192222222222-122222222-1-1-1-1-12222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-12200-2-211-2-21122-1-122-1-10000000011111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-122222222-1-1-1-1-12222-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-211-2-211-2-211-2-2110000000011111111111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222-1-122-1-1222222-12-1222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1222200000000-1-122-1-12222-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ22222222222-1222-1-122-1-1222222-12-1222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-122-2-200000000-1-122-1-122-2-211-2-21100000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ23222222222-1222-1-122-1-1222222-12-1222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-2220000000011-2-211-2-222-1-122-1-10000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ24222222222-1222-1-122-1-1222222-12-1222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-1-1-1-1-1-1-1-1-2-2-2-20000000011-2-211-2-2-2-211-2-2110000000011111111111111112222000000000000-1-1-1-10000
χ2522222222-122-1-122-1-12222222-12-1222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-10022-1-122-1-12200000000-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ2622222222-122-1-122-1-12222222-12-1222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100-2-2-1-122-1-1220000000011-2-211-2-2-1-1-1-1-1-1-1-10000000011111111000000-2-20000111100000000
χ2722222222-122-1-122-1-12222222-12-1222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-1002211-2-211-2-200000000-1-122-1-1221111111100000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ2822222222-122-1-122-1-12222222-12-1222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-100-2-211-2-211-2-20000000011-2-211-2-2111111110000000011111111000000220000-1-1-1-100000000
χ29222-22-2-2-222-12222-2-2-2-2-1-1-11122-2-211-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i-1-1-1-111112i−2i002i2i−i−i−2i−2iii2i2i−i−i−2i−2iii00000000−i−i−i−iiiii−i−i−i−iiiii0000000000002-200-1-111000000000000
χ30222-22-2-2-222-12222-2-2-2-2-1-1-11122-2-211-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i-1-1-1-11111−2i2i002i2i−i−i−2i−2iii−2i−2iii2i2i−i−i00000000−i−i−i−iiiiiiiii−i−i−i−i000000000000-220011-1-1000000000000
χ31222-22-2-2-222-12222-2-2-2-2-1-1-11122-2-211-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i-1-1-1-111112i−2i00−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii00000000iiii−i−i−i−i−i−i−i−iiiii000000000000-220011-1-1000000000000
χ32222-22-2-2-222-12222-2-2-2-2-1-1-11122-2-211-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i-1-1-1-11111−2i2i00−2i−2iii2i2i−i−i−2i−2iii2i2i−i−i00000000iiii−i−i−i−iiiii−i−i−i−i0000000000002-200-1-111000000000000
χ33222-22-2-2-22-1222-1-1-2-211222-2-22-1-21-2-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-111112i−2i2-200000000−i−i2i2iii−2i−2i22-1-1-2-21100000000−i−i−i−iiiii-1-1-1-111112i2i−2i−2i000000000000−i−iii0000
χ34222-22-2-2-22-1222-1-1-2-211222-2-22-1-21-2-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-111112i−2i-2200000000−i−i2i2iii−2i−2i-2-21122-1-100000000−i−i−i−iiiii1111-1-1-1-1−2i−2i2i2i000000000000ii−i−i0000
χ35222-22-2-2-22-1222-1-1-2-211222-2-22-1-21-2-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-11111−2i2i2-200000000ii−2i−2i−i−i2i2i22-1-1-2-21100000000iiii−i−i−i−i-1-1-1-11111−2i−2i2i2i000000000000ii−i−i0000
χ36222-22-2-2-22-1222-1-1-2-211222-2-22-1-21-2-2-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000-1-1-1-11111−2i2i-2200000000ii−2i−2i−i−i2i2i-2-21122-1-100000000iiii−i−i−i−i1111-1-1-1-12i2i−2i−2i000000000000−i−iii0000
χ37222-22-2-2-2-122-1-12211-2-2222-2-2-121-2-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i-1-1-1-11111002-2−i−i2i2iii−2i−2i00000000-1-12211-2-2−i−i−i−iiiii00000000-1-1-1-111110000002i−2i0000−i−iii00000000
χ38222-22-2-2-2-122-1-12211-2-2222-2-2-121-2-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i-1-1-1-1111100-22−i−i2i2iii−2i−2i0000000011-2-2-1-122−i−i−i−iiiii000000001111-1-1-1-1000000−2i2i0000ii−i−i00000000
χ39222-22-2-2-2-122-1-12211-2-2222-2-2-121-2-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i-1-1-1-11111002-2ii−2i−2i−i−i2i2i00000000-1-12211-2-2iiii−i−i−i−i00000000-1-1-1-11111000000−2i2i0000ii−i−i00000000
χ40222-22-2-2-2-122-1-12211-2-2222-2-2-121-2-2-21-2-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i-1-1-1-1111100-22ii−2i−2i−i−i2i2i0000000011-2-2-1-122iiii−i−i−i−i000000001111-1-1-1-10000002i−2i0000−i−iii00000000
χ4122-22-22-2-22222-22-2222-22-2-22-2-2-2-222-2-2-22222-22-2-22-2-222-2-222-22-2-2-2-22000022-2-222-2-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ4222-22-22-2-22222-22-2222-22-2-22-2-2-2-222-2-2-22222-22-2-22-2-222-2-222-22-2-2-2-22000022-2-222-2-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ4322-22-22-2-22-122-2-1122-112-2-22-2-21-2-12-2-21-12-1-112-2-2-111-1-11122-2-1111-2-10000-1-111-1-111000000000000−i3i300−i3i300003−3003−300000000−i3−i3i3i3−i3−i3i3i333−3−333−3−32i−2i2i−2i000000000000−ii−ii0000
χ4422-22-22-2-22-122-2-1122-112-2-22-2-21-2-12-2-21-12-1-112-2-2-111-1-11122-2-1111-2-10000-1-111-1-111000000000000−i3i300−i3i30000−3300−3300000000−i3−i3i3i3−i3−i3i3i3−3−333−3−333−2i2i−2i2i000000000000i−ii−i0000
χ4522-22-22-2-22-122-2-1122-112-2-22-2-21-2-12-2-21-12-1-112-2-2-111-1-11122-2-1111-2-10000-1-111-1-111000000000000i3−i300i3−i300003−3003−300000000i3i3−i3−i3i3i3−i3−i333−3−333−3−3−2i2i−2i2i000000000000i−ii−i0000
χ4622-22-22-2-22-122-2-1122-112-2-22-2-21-2-12-2-21-12-1-112-2-2-111-1-11122-2-1111-2-10000-1-111-1-111000000000000i3−i300i3−i30000−3300−3300000000i3i3−i3−i3i3i3−i3−i3−3−333−3−3332i−2i2i−2i000000000000−ii−ii0000
χ4722-2-2-2-2222222-22-2-2-2-222-2-2-22-2-22-2-22222222-22-2-22-2-2-2-222-2-22-222-22-2000022-2-2-2-22200000000000000000000000000000000000000000000000000002-2-220000000000002-2-220000
χ4822-2-2-2-2222222-22-2-2-2-222-2-2-22-2-22-2-22222222-22-2-22-2-2-2-222-2-22-222-22-2000022-2-2-2-2220000000000000000000000000000000000000000000000000000-222-2000000000000-222-20000
χ4922-2-2-2-2222-122-2-11-2-21-12-2-2-22-2121-222-1-12-1-112-2-2-11111-1-1-2-221-1-11210000-1-11111-1-10000000000003−300−3300003−300−330000000033−3−3−3−33333−3−3−3−333-222-20000000000001-1-110000
χ5022-2-2-2-2222-122-2-11-2-21-12-2-2-22-2121-222-1-12-1-112-2-2-11111-1-1-2-221-1-11210000-1-11111-1-10000000000003−300−330000−33003−30000000033−3−3−3−333−3−33333−3−32-2-22000000000000-111-10000
χ5122-2-2-2-2222-122-2-11-2-21-12-2-2-22-2121-222-1-12-1-112-2-2-11111-1-1-2-221-1-11210000-1-11111-1-1000000000000−33003−300003−300−3300000000−3−33333−3−333−3−3−3−3332-2-22000000000000-111-10000
χ5222-2-2-2-2222-122-2-11-2-21-12-2-2-22-2121-222-1-12-1-112-2-2-11111-1-1-2-221-1-11210000-1-11111-1-1000000000000−33003−30000−33003−300000000−3−33333−3−3−3−33333−3−3-222-20000000000001-1-110000
χ532-222-2-22-2222-22-222-222-22-222-2-2-2-2-2-22-2222-22-22-2-22-22-22-22-2222-2-2-2-22i−2i2i−2i2-22-22-22-200002i−2i2i−2i2i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ542-222-2-22-2222-22-222-222-22-222-2-2-2-2-2-22-2222-22-22-2-22-22-22-22-2222-2-2-2-2−2i2i−2i2i2-22-22-22-20000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ552-222-2-22-222-1-22-222-2221-11-1-1-2-2-2-2112-22-1-1-221-111-112-22-2-11-1-1-11-2112i−2i2i−2i-11-11-11-1100002i−2i−ii2i−2i−ii003−3003−300000000−i−iii−i−iii3−33−33−33−30000000000000000−i3i3−i3i3000000000000
χ562-222-2-22-222-1-22-222-2221-11-1-1-2-2-2-2112-22-1-1-221-111-112-22-2-11-1-1-11-2112i−2i2i−2i-11-11-11-1100002i−2i−ii2i−2i−ii00−3300−3300000000−i−iii−i−iii−33−33−33−330000000000000000i3−i3i3−i3000000000000
χ572-222-2-22-222-1-22-222-2221-11-1-1-2-2-2-2112-22-1-1-221-111-112-22-2-11-1-1-11-211−2i2i−2i2i-11-11-11-110000−2i2ii−i−2i2ii−i003−3003−300000000ii−i−iii−i−i3−33−33−33−30000000000000000i3−i3i3−i3000000000000
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χ1428-88-8-88-88-4-4-44-44-44-4444-444444-4-4-4-44-4222-22-22-2-22-2-22-22-22-2-2-22-2220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-44444-44-4444-4-44-4-4-444-44-4222-2-2-2-22-2-222-2-222-2-22-2222-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-444444-44-444-44-4-4-44-4-44-44222-2-2-2-22-2-22-222-2-222-22-22-220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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