Finite Group Databasebeta

← Group #13156860

Character table — Group #13156860

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
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
χ9111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1i−i1-111-1-1ii−i−i11-1-1ii−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−ii−i1-1ii−i−iii−i−i11-1-1ii−i−i
χ10111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1i−i-1111-1-1ii−i−i-1-111ii−i−i11-1-1-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iiii−i-11−i−iiiii−i−i-1-111−i−iii
χ11111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1−ii1-111-1-1−i−iii11-1-1−i−iii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−ii1-1−i−iii−i−iii11-1-1−i−iii
χ12111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1−ii-1111-1-1−i−iii-1-111−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i−ii-11ii−i−i−i−iii-1-111ii−i−i
χ13111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1i−i1-1-1-111ii−i−i11-1-1ii−i−i-1-11111-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1ii−i−i−ii-11ii−i−i−i−iii-1-111−i−iii
χ14111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1i−i-11-1-111ii−i−i-1-111ii−i−i-1-111-1-111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−iii−ii1-1−i−iii−i−iii11-1-1ii−i−i
χ15111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1−ii1-1-1-111−i−iii11-1-1−i−iii-1-11111-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−iiii−i-11−i−iiiii−i−i-1-111ii−i−i
χ16111-1-1-11-1111111111-1-1-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1−ii-11-1-111−i−iii-1-111−i−iii-1-111-1-111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ii−i−ii−i1-1ii−i−iii−i−i11-1-1−i−iii
χ172222222222-12222-1-12222222-1-12-1-1-1222-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-122220000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1000000000000
χ182222222222-12222-1-12222222-1-12-1-1-1222-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-122-2-20000-1-1-1-1111122220000-2-2-2-200000000-1-1-1-1-1-1-1-111111111-2-2-2-200001111000000000000
χ192222222222-12222-1-12222222-1-12-1-1-1222-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-22200001111-1-1-1-1-2-2-2-2000022220000000011111111-1-1-1-1-1-1-1-1-2-2-2-200001111000000000000
χ202222222222-12222-1-12222222-1-12-1-1-1222-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-2-2-2000011111111-2-2-2-20000-2-2-2-200000000111111111111111122220000-1-1-1-1000000000000
χ21222222222-1222-1-1222222-1-1-122-1222-12-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-12222-1-1-1-1-1-1-1-12200-1-1-1-122220000-1-1-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022000000-1-1-1-100000000
χ22222222222-1222-1-1222222-1-1-122-1222-12-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-200-1-1-1-1-2-2-2-20000111122220000-1-1-1-1-1-1-1-111111111000000000000-2-2000000111100000000
χ23222222222-1222-1-1222222-1-1-122-1222-12-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12200111122220000-1-1-1-1-2-2-2-2000011111111-1-1-1-1-1-1-1-1000000000000-2-2000000111100000000
χ24222222222-1222-1-1222222-1-1-122-1222-12-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2001111-2-2-2-200001111-2-2-2-20000111111111111111100000000000022000000-1-1-1-100000000
χ2522222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100222222000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000002200000000-1-1-1-10000
χ2622222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100-2-222220000-2-2-2-20000-1-1-1-11111-1-1-1-1-1-1-1-10000000011111111000000-2-20000000011110000
χ2722222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-20000222200001111-1-1-1-11111111100000000-1-1-1-1-1-1-1-1000000-2-20000000011110000
χ2822222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-2-2-20000-2-2-2-20000111111111111111100000000111111110000002200000000-1-1-1-10000
χ29222-2-2-22-222-12222-1-1-2-2-2-2-2-2-2112-111-222-1-122-1-1-1-1-1-2-2-2-211111112-110000-1-1-1-111112i−2i2-20000−i−iii-1-1112i2i−2i−2i000022-2-200000000−i−i−i−iiiii-1-1-1-111112i2i−2i−2i0000−i−iii000000000000
χ30222-2-2-22-222-12222-1-1-2-2-2-2-2-2-2112-111-222-1-122-1-1-1-1-1-2-2-2-211111112-110000-1-1-1-111112i−2i-220000−i−iii11-1-12i2i−2i−2i0000-2-22200000000−i−i−i−iiiii1111-1-1-1-1−2i−2i2i2i0000ii−i−i000000000000
χ31222-2-2-22-222-12222-1-1-2-2-2-2-2-2-2112-111-222-1-122-1-1-1-1-1-2-2-2-211111112-110000-1-1-1-11111−2i2i2-20000ii−i−i-1-111−2i−2i2i2i000022-2-200000000iiii−i−i−i−i-1-1-1-11111−2i−2i2i2i0000ii−i−i000000000000
χ32222-2-2-22-222-12222-1-1-2-2-2-2-2-2-2112-111-222-1-122-1-1-1-1-1-2-2-2-211111112-110000-1-1-1-11111−2i2i-220000ii−i−i11-1-1−2i−2i2i2i0000-2-22200000000iiii−i−i−i−i1111-1-1-1-12i2i−2i−2i0000−i−iii000000000000
χ33222-2-2-22-22-1222-1-122-2-2-2-2111-2-2-12-2-212-12-1-1-122-1-1-11111-2-2-2-2111-12122-2-2-1-1-1-111112i−2i00-1-1112i2i−2i−2i0000−i−iii22-2-20000-1-1-1-11111−i−i−i−iiiii0000000000002i−2i000000−i−iii00000000
χ34222-2-2-22-22-1222-1-122-2-2-2-2111-2-2-12-2-212-12-1-1-122-1-1-11111-2-2-2-2111-12122-2-2-1-1-1-11111−2i2i00-1-111−2i−2i2i2i0000ii−i−i22-2-20000-1-1-1-11111iiii−i−i−i−i000000000000−2i2i000000ii−i−i00000000
χ35222-2-2-22-22-1222-1-122-2-2-2-2111-2-2-12-2-212-12-1-1-122-1-1-11111-2-2-2-2111-121-2-222-1-1-1-111112i−2i0011-1-12i2i−2i−2i0000−i−iii-2-22200001111-1-1-1-1−i−i−i−iiiii000000000000−2i2i000000ii−i−i00000000
χ36222-2-2-22-22-1222-1-122-2-2-2-2111-2-2-12-2-212-12-1-1-122-1-1-11111-2-2-2-2111-121-2-222-1-1-1-11111−2i2i0011-1-1−2i−2i2i2i0000ii−i−i-2-22200001111-1-1-1-1iiii−i−i−i−i0000000000002i−2i000000−i−iii00000000
χ37222-2-2-22-2-122-1-122221111-2-2-2-2-222-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-222-2-2-1-1-1-11111002-222-2-2000022-2-20000-1-111-1-111-1-1-1-1111100000000-1-1-1-111110000002-200000000-1-1110000
χ38222-2-2-22-2-122-1-122221111-2-2-2-2-222-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-222-2-2-1-1-1-1111100-2222-2-20000-2-2220000-1-11111-1-1-1-1-1-11111000000001111-1-1-1-1000000-220000000011-1-10000
χ39222-2-2-22-2-122-1-122221111-2-2-2-2-222-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-2-2-222-1-1-1-11111002-2-2-222000022-2-2000011-1-1-1-1111111-1-1-1-100000000-1-1-1-11111000000-220000000011-1-10000
χ40222-2-2-22-2-122-1-122221111-2-2-2-2-222-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-2-2-222-1-1-1-1111100-22-2-2220000-2-222000011-1-111-1-11111-1-1-1-1000000001111-1-1-1-10000002-200000000-1-1110000
χ4122-222-2-2-22222-22-22-222-2-222-22-2-2-2-22-2-22222-22-22-2-222-2-222-2-222-2-2-2-2000022-2-222-2-200000000000000000000000000000000000000000000000000002-22-200002-22-2000000000000
χ4222-222-2-2-22222-22-22-222-2-222-22-2-2-2-22-2-22222-22-22-2-222-2-222-2-222-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000000000000000-22-220000-22-22000000000000
χ4322-222-2-2-222-12-22-2-1122-2-222-2-11-211-1-2-22-1-12-2-11-11122-2-2-1-111-1-11-2110000-1-111-1-111000000003−33−33−33−30000000000000000000033−3−333−3−333−3−333−3−32-22-20000-11-11000000000000
χ4422-222-2-2-222-12-22-2-1122-2-222-2-11-211-1-2-22-1-12-2-11-11122-2-2-1-111-1-11-2110000-1-111-1-111000000003−33−3−33−330000000000000000000033−3−333−3−3−3−333−3−333-22-2200001-11-1000000000000
χ4522-222-2-2-222-12-22-2-1122-2-222-2-11-211-1-2-22-1-12-2-11-11122-2-2-1-111-1-11-2110000-1-111-1-11100000000−33−333−33−300000000000000000000−3−333−3−33333−3−333−3−3-22-2200001-11-1000000000000
χ4622-222-2-2-222-12-22-2-1122-2-222-2-11-211-1-2-22-1-12-2-11-11122-2-2-1-111-1-11-2110000-1-111-1-11100000000−33−33−33−3300000000000000000000−3−333−3−333−3−333−3−3332-22-20000-11-11000000000000
χ4722-2-2-22-222222-22-22-2-2-222-2-22-22-2-22-22-22222-22-22-2-2-2-222-2-222-2-22-2-22000022-2-2-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ4822-2-2-22-222222-22-22-2-2-222-2-22-22-2-22-22-22222-22-22-2-2-2-222-2-222-2-22-2-22000022-2-2-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ4922-2-2-22-2222-12-22-2-11-2-222-2-221-1-21-112-22-1-12-2-11-111-2-22211-1-111-1-21-10000-1-11111-1-100000000−i3i3i3−i33−3−3300000000000000000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333−2i2i2i−2i0000i−i−ii000000000000
χ5022-2-2-22-2222-12-22-2-11-2-222-2-221-1-21-112-22-1-12-2-11-111-2-22211-1-111-1-21-10000-1-11111-1-100000000−i3i3i3−i3−333−300000000000000000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−32i−2i−2i2i0000−iii−i000000000000
χ5122-2-2-22-2222-12-22-2-11-2-222-2-221-1-21-112-22-1-12-2-11-111-2-22211-1-111-1-21-10000-1-11111-1-100000000i3−i3−i3i33−3−3300000000000000000000i3i3−i3−i3−i3−i3i3i333−3−3−3−3332i−2i−2i2i0000−iii−i000000000000
χ5222-2-2-22-2222-12-22-2-11-2-222-2-221-1-21-112-22-1-12-2-11-111-2-22211-1-111-1-21-10000-1-11111-1-100000000i3−i3−i3i3−333−300000000000000000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3−2i2i2i−2i0000i−i−ii000000000000
χ532-222-2-2-22222-22-22-222-22-22-2222-2-2-2-2-2-2222-22-22-22-22-22-22-22-22-22-2-2-200002-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000002-22-2
χ542-222-2-2-22222-22-22-222-22-22-2222-2-2-2-2-2-2222-22-22-22-22-22-22-22-22-22-2-2-200002-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000-22-22
χ552-22-222-2-2222-22-22-22-22-22-22-2-2-2-2-2222-2222-22-22-22-2-22-22-22-22-22-2-2-2200002-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ562-22-222-2-2222-22-22-22-22-22-22-2-2-2-2-2222-2222-22-22-22-2-22-22-22-22-22-2-2-2200002-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ572-2-22-222-2222-2-2-2-2-2-22-2-222-2-22-2222-222222-2-2-2-2-2-222-2-222-2-222-2-22222-22-22-2-222-2-2200002-22-20000000000002-22-2000022-2-222-2-20000000000000000000000000000000000000000
χ582-2-22-222-2222-2-2-2-2-2-22-2-222-2-22-2222-222222-2-2-2-2-2-222-2-222-2-222-2-2222-22-222-2-222-2-220000-22-22000000000000-22-220000-2-222-2-2220000000000000000000000000000000000000000
χ592-2-22-222-22-12-2-211-2-22-2-22-1112-2-122-2-12-12-111-2-211-1-111-12-2-22-111-12-12-22-2-111-1-111-10000-11-1100000000−i3i3−i3i32-22-20000-1-111-1-111−i3i3−i3i3−i3i3−i3i300000000000000000000−i3i3−i3i300000000
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χ1418-888-8-8-88-4-4-44-44-44-4-44-44-44-4-4-4444444222-22-22-22-22-22-22-22-22-22-2-2-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-888-8-8-4-4-44-44-44-44-44-44-444444-4-4-44222-22-22-22-2-22-22-22-22-22-2-2-220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-888-8-4-4-4444444-444-4-444-44-4-4-44-4-4222-2-2-2-2-2-222-2-222-2-222-2-22220000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-88-888-4-4-44444444-4-444-4-44-4-4-44-44-4222-2-2-2-2-2-22-222-2-222-2-22222-20000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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