Finite Group Databasebeta

← Group #14296190

Character table — Group #14296190

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222244444444444444444444444444444444444444445555555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020303030303030303030303030303030306060606060606060
order1222222234444666666644445101010101010101212121212121212121212121515303030303030303030303030303044444444202020202020202020202020606060606060606060606060606060606060606060606060444412121212121212124444121212121212121212121212888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111-1-1-1-1111111111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-1111111111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-1111111111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ12111111111-1-1-1-1111111111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ13111111111-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711-1-111-1-11ii−i−i1-1-111-1-11-1i−i111-1-11-1-1ii−i−i11-1-1ii−i−i111111-1-1-1-111-1-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1-1-11-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ1811-1-111-1-11ii−i−i1-1-111-1-11-1i−i111-1-11-1-1ii−i−i11-1-1ii−i−i111111-1-1-1-111-1-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1-1-11-1i−iii−i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-11−ii-11−ii
χ1911-1-111-1-11ii−i−i1-1-111-1-11-1i−i111-1-11-1-1ii−i−i11-1-1ii−i−i111111-1-1-1-111-1-1-1-1-1-111-1-111ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-1-1-11111-11−ii−i−iii-1-111−i−iiiii−i−i-1-111−i−iii11-1-1i−i-11−ii1-1
χ2011-1-111-1-11ii−i−i1-1-111-1-11-1i−i111-1-11-1-1ii−i−i11-1-1ii−i−i111111-1-1-1-111-1-1-1-1-1-111-1-111ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-1-1-11111-11−ii−i−iii-1-111−i−iii−i−iii11-1-1ii−i−i-1-111−ii1-1i−i-11
χ2111-1-111-1-11ii−i−i1-1-111-1-1-11−ii111-1-11-1-1ii−i−i-1-111−i−iii111111-1-1-1-111-1-1-1-111-1-111-1-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i1111-1-1-1-1-11−iiii−i−i-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii
χ2211-1-111-1-11ii−i−i1-1-111-1-1-11−ii111-1-11-1-1ii−i−i-1-111−i−iii111111-1-1-1-111-1-1-1-111-1-111-1-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i1111-1-1-1-1-11−iiii−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iii1-1i−i1-1i−i
χ2311-1-111-1-11ii−i−i1-1-111-1-1-11−ii111-1-11-1-1ii−i−i-1-111−i−iii111111-1-1-1-111-1-1-1-1-1-111-1-111ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-1-1-111111-1i−i−i−iii11-1-1ii−i−iii−i−i-1-111−i−iii11-1-1−ii1-1i−i-11
χ2411-1-111-1-11ii−i−i1-1-111-1-1-11−ii111-1-11-1-1ii−i−i-1-111−i−iii111111-1-1-1-111-1-1-1-1-1-111-1-111ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-1-1-111111-1i−i−i−iii11-1-1ii−i−i−i−iii11-1-1ii−i−i-1-111i−i-11−ii1-1
χ2511-1-111-1-11−i−iii1-1-111-1-11-1−ii111-1-11-1-1−i−iii11-1-1−i−iii111111-1-1-1-111-1-1-1-111-1-111-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1-1-11-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ2611-1-111-1-11−i−iii1-1-111-1-11-1−ii111-1-11-1-1−i−iii11-1-1−i−iii111111-1-1-1-111-1-1-1-111-1-111-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1-1-11-1−ii−i−iii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-11i−i-11i−i
χ2711-1-111-1-11−i−iii1-1-111-1-11-1−ii111-1-11-1-1−i−iii11-1-1−i−iii111111-1-1-1-111-1-1-1-1-1-111-1-111−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-1-1-11111-11i−iii−i−i-1-111ii−i−iii−i−i11-1-1−i−iii-1-111i−i1-1−ii-11
χ2811-1-111-1-11−i−iii1-1-111-1-11-1−ii111-1-11-1-1−i−iii11-1-1−i−iii111111-1-1-1-111-1-1-1-1-1-111-1-111−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-1-1-11111-11i−iii−i−i-1-111ii−i−i−i−iii-1-111ii−i−i11-1-1−ii-11i−i1-1
χ2911-1-111-1-11−i−iii1-1-111-1-1-11i−i111-1-11-1-1−i−iii-1-111ii−i−i111111-1-1-1-111-1-1-1-111-1-111-1-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iii1111-1-1-1-1-11i−i−i−iii-1-111ii−i−i11-1-1−i−iii11-1-1−i−iii-11i−i-11i−i
χ3011-1-111-1-11−i−iii1-1-111-1-1-11i−i111-1-11-1-1−i−iii-1-111ii−i−i111111-1-1-1-111-1-1-1-111-1-111-1-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iii1111-1-1-1-1-11i−i−i−iii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i1-1−ii1-1−ii
χ3111-1-111-1-11−i−iii1-1-111-1-1-11i−i111-1-11-1-1−i−iii-1-111ii−i−i111111-1-1-1-111-1-1-1-1-1-111-1-111−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-1-1-111111-1−iiii−i−i11-1-1−i−iiiii−i−i11-1-1−i−iii-1-111−ii-11i−i1-1
χ3211-1-111-1-11−i−iii1-1-111-1-1-11i−i111-1-11-1-1−i−iii-1-111ii−i−i111111-1-1-1-111-1-1-1-1-1-111-1-111−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-1-1-111111-1−iiii−i−i11-1-1−i−iii−i−iii-1-111ii−i−i11-1-1i−i1-1−ii-11
χ3322222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111111111000000000000000000000000
χ3522222222-12222-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000000000000000
χ3622222222-12222-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-21111111122221111-1-1-1-1-1-1-1-1000000000000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-122-2-21111-1-1-1-11111000000000000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111222211111111-2-222-1-1-1-11111-1-1-1-1000000000000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122221111111122-2-2-1-1-1-1-1-1-1-11111000000000000000000000000
χ41222-2-2-22-22000022-2-2-22-200002-2-22-222-200000000000022-2-2-2-222-2-22222-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.