Finite Group Databasebeta

← Group #14294651

Character table — Group #14294651

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222224444444444444444444455555555666666668888888888888888101010101010101010101010121212121212121212121212121212122020202020202020202020202020202020202020202020202020202030303030303030306060606060606060
order122244442234466612121212566101010101010101212202020202020202022224444888888881530303030303030606060606060606022446666121212124040404040404040404040404040404066888888881212242424242424242424242424242424248888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−iiiii
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiii−i−i−i−i
χ91111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii
χ111111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ121111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i
χ131111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ141111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ151111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ161111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ171-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i1-1-111-1-1111-1-111-1-11-11-111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-11-11-11-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i
χ181-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i1-1-111-1-1111-1-111-1-11-11-111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-1-11-11-11-111-1-1-111-1-111-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii
χ191-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-111-1-111-1-1−i−iii−i−iii1-1-111-1-1111-1-111-1-11-11-111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-11-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii
χ201-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-111-1-111-1-1−i−iii−i−iii1-1-111-1-1111-1-111-1-11-11-111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-1-11-11-11-111-1-1-111-1-111-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i
χ211-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-1-1-111-1-111ii−i−iii−i−i1-1-111-1-1111-1-111-1-1-11-11-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-11i−ii−i−ii−ii-11ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-111-11-1
χ221-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-1-1-111-1-111ii−i−iii−i−i1-1-111-1-1111-1-111-1-1-11-11-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−iii−ii−i-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ231-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-1-1-111-1-111−i−iii−i−iii1-1-111-1-1111-1-111-1-1-11-11-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i−ii−ii-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ241-1-1111-1-11-111-1-1-1111-1-111-1-1-111-1-111-11111-1-1-1-1-1-111-1-111−i−iii−i−iii1-1-111-1-1111-1-111-1-1-11-11-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-11−ii−iii−ii−i-11−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-111-11-1
χ251-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-111-1-1-1-111ii−i−i−i−iii1-1-1-1-111111-1-1-1-111-111-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11i−i−iii−i−ii1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-111-1-111-1
χ261-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-111-1-1-1-111ii−i−i−i−iii1-1-1-1-111111-1-1-1-111-111-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i−iii−i1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11
χ271-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-111-1-1-1-111−i−iiiii−i−i1-1-1-1-111111-1-1-1-111-111-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−iii−i−ii1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11
χ281-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-111-1-1-1-111−i−iiiii−i−i1-1-1-1-111111-1-1-1-111-111-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i−iii−i1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1
χ291-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-1-1-11111-1-1ii−i−i−i−iii1-1-1-1-111111-1-1-1-1111-1-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-11-1-11-111-1-1111-1-1-1-111-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−i
χ301-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-1-1-11111-1-1ii−i−i−i−iii1-1-1-1-111111-1-1-1-1111-1-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-111-11-1-11-11-1-11111-1-111-1-1-1-111−i−iiiii−i−i−iii−ii−i−ii
χ311-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-1-1-11111-1-1−i−iiiii−i−i1-1-1-1-111111-1-1-1-1111-1-11-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11-1-11-111-1-1111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii
χ321-1-11-1-111-1111-1-1-11-1-1111-11-1-1-1-11111-111-1-111-1-1-1-11111-1-1−i−iiiii−i−i1-1-1-1-111111-1-1-1-1111-1-11-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-111-11-1-11-11-1-11111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii−iii−i
χ332222222222-122-1-1-1-1-1-1-12-1-12222222-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222222-122-1-1-1-1-1-1-12-1-12222222-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000000000000
χ352222222222-122-1-1-1-1-1-1-12-1-12222222-1-122222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ362222222222-122-1-1-1-1-1-1-12-1-12222222-1-122222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000011−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ3722222222-2-22-2-222222222-2-222-2-2-2-22-2-2-2-22222-2-22222222200000000222-2-2-2-22-2-2-2-22222-2-2-2-2222222220000000000000000-2-200000000-2-200000000000000000000000000000000
χ3822222222-2-22-2-222222222-2-222-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000222-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000022000000002200000000000000000000000000000000
χ3922222222-2-2-1-2-2-1-1-1-1-1-1-121122-2-2-2-2211-2-22222-2-22222222200000000-1-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-10000000000000000110000000011−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ4022222222-2-2-1-2-2-1-1-1-1-1-1-121122-2-2-2-2211-2-22222-2-22222222200000000-1-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-10000000000000000110000000011i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ4122222222-2-2-1-2-2-1-1-1-1-1-1-121122-2-2-2-2211-2-22222-2-2-2-2-2-2-2-2-2-200000000-1-1-11111-11111-1-1-1-12222111111110000000000000000-1-100000000-1-13−33−33−33−3−33−33−33−330000000000000000
χ4222222222-2-2-1-2-2-1-1-1-1-1-1-121122-2-2-2-2211-2-22222-2-2-2-2-2-2-2-2-2-200000000-1-1-11111-11111-1-1-1-12222111111110000000000000000-1-100000000-1-1−33−33−33−333−33−33−33−30000000000000000
χ432222-2-2-2-2222-2-2222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000022222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-200000000000000002200000000-2-200000000000000000000000000000000
χ442222-2-2-2-2222-2-2222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000022222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000-2-2000000002200000000000000000000000000000000
χ452222-2-2-2-222-1-2-2-1-1-111112-1-1222222211-2-2-2-2-2-2-2-22222-2-2-2-200000000-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-111110000000000000000-1-100000000113−33−3−33−333−33−3−33−330000000000000000
χ462222-2-2-2-222-1-2-2-1-1-111112-1-1222222211-2-2-2-2-2-2-2-22222-2-2-2-200000000-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-111110000000000000000-1-10000000011−33−333−33−3−33−333−33−30000000000000000
χ472222-2-2-2-222-1-2-2-1-1-111112-1-1222222211-2-2-2-2-2-2-2-2-2-2-2-2222200000000-1-1-1-1-1-1-1-111111111-2-2221111-1-1-1-100000000000000001100000000-1-1−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ482222-2-2-2-222-1-2-2-1-1-111112-1-1222222211-2-2-2-2-2-2-2-2-2-2-2-2222200000000-1-1-1-1-1-1-1-111111111-2-2221111-1-1-1-100000000000000001100000000-1-1i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ492222-2-2-2-2-2-2-122-1-1-1111121122-2-2-2-22-1-122-2-2-2-2222222-2-2-2-200000000-1-1-11111-1-1-1-1-11111-2-222-1-1-1-111110000000000000000112i2i−2i−2i2i2i−2i−2i-1-1−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ502222-2-2-2-2-2-2-122-1-1-1111121122-2-2-2-22-1-122-2-2-2-2222222-2-2-2-200000000-1-1-11111-1-1-1-1-11111-2-222-1-1-1-11111000000000000000011−2i−2i2i2i−2i−2i2i2i-1-1iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ512222-2-2-2-2-2-2-122-1-1-1111121122-2-2-2-22-1-122-2-2-2-222-2-2-2-2222200000000-1-1-11111-1-1-1-1-1111122-2-21111-1-1-1-10000000000000000-1-122-2-2-2-22211-1-1-1-111111111-1-1-1-10000000000000000
χ522222-2-2-2-2-2-2-122-1-1-1111121122-2-2-2-22-1-122-2-2-2-222-2-2-2-2222200000000-1-1-11111-1-1-1-1-1111122-2-21111-1-1-1-10000000000000000-1-1-2-22222-2-2111111-1-1-1-1-1-1-1-111110000000000000000
χ5322-2-22i−2i2i−2i002002-2-22i−2i2i−2i2002-20000-200002i−2i2i−2i002-22-22i−2i2i−2i2−22−2−i2i2−i2i222-20000-200002i−2i2i−2i00002-22-22i−2i2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000000000000000002−22−2−i2i2−i2i200000000
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χ1408-88-8−8i8i8i−8i00-4004-444i−4i−4i4i-2002-225−25−2525200−2i52i52i−2i−2i2i2i5−2i500000000000000001-11−555−5-1i5−i5−i5i5−iii−i000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-8888-8-88-8-48-844-4-4-444-2-4422-2-222-2-44-2-2-2-2222200000000000000001-1-111-1-1111-1-111-1-1000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-8888-8-8-88-4-8844-4-4-444-24-42222-2-2-24-422-2-222-2-200000000000000001-1-1-1-1111-1-11111-1-1000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-8-8888-8-4-8844-444-4-4-2-4422-2-222-24-42222-2-2-2-200000000000000001-1-111-1-11-1-111-1-111000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-8-888-88-48-844-444-4-4-24-42222-2-2-2-44-2-222-2-22200000000000000001-1-1-1-111111-1-1-1-111000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.