Finite Group Databasebeta

← Group #14418142

Character table — Group #14418142

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222222222224444444444444444444444444444444444666688888888888888888888888888888888888812121212121212121212121212121212121212121212202020202020202024242424242424243030303030303030404040404040404060606060
order12442345568888101012122020202040404040404040402468810101215152020242424243030404040406060606012012012012012012012012044446101012202024243030303030304040404060606060606012012012012012012012012012012012012024888820202020202020204040404040404040244488881010202040404040224488886121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-11-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ6111111111111111111111111111111-1-11-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ7111111111111111111111111111111-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-111-1-1-1-1-1-1
χ8111111111111111111111111111111-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ91111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ101111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ121111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ1711-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1-1-1i−i-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−iii−i−i111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-111-1-1ii−i−i1-11-1ii−i−i1-1i−ii−i1-1-11i−i
χ1811-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1-1-1i−i-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−iii−i−i111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1-1iiii−i−i−i−i1111-1-1-1-1-11−ii−ii-1111-1-1ii−i−i-11-11−i−iii-11−ii−ii-111-1−ii
χ1911-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1-1-1i−i-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−i−i−iii111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−i-11−ii-11−i−i−i−iiiii-1-1-1-111111-1i−ii−i1-1-1-111−i−iii-11-11−i−iii1-1i−ii−i1-11-1−ii
χ2011-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1-1-1i−i-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−i−i−iii111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−i-11−ii-11−i−i−i−iiiii-1-1-1-11111-11−ii−ii-11-1-111−i−iii1-11-1ii−i−i-11−ii−ii-11-11i−i
χ2111-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i-11-1−ii-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiii-11−ii1-1iiii−i−i−i−i1111-1-1-1-11-1−iii−i-11-1-111−i−iii-11-11−i−iii1-1−iii−i-11-11i−i
χ2211-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i-11-1−ii-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiii-11−ii1-1iiii−i−i−i−i1111-1-1-1-1-11i−i−ii1-1-1-111−i−iii1-11-1ii−i−i-11i−i−ii1-11-1−ii
χ2311-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i-11-1−ii-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−i−i−iii-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiii1-1i−i-11−i−i−i−iiiii-1-1-1-111111-1−iii−i-1111-1-1ii−i−i1-11-1ii−i−i1-1−iii−i-111-1−ii
χ2411-1-1-111111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i-11-1−ii-1-111111ii−i−i11ii−i−i-1-1-1-1iiii−i−i−i−i−i−iii-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiii1-1i−i-11−i−i−i−iiiii-1-1-1-11111-11i−i−ii1-111-1-1ii−i−i-11-11−i−iii-11i−i−ii1-1-11i−i
χ2511-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1-1-1−ii-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiiiii−i−i111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiii-11i−i-11iiii−i−i−i−i-1-1-1-111111-1−ii−ii1-1-1-111ii−i−i-11-11ii−i−i1-1−ii−ii1-11-1i−i
χ2611-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1-1-1−ii-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiiiii−i−i111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiii-11i−i-11iiii−i−i−i−i-1-1-1-11111-11i−ii−i-11-1-111ii−i−i1-11-1−i−iii-11i−ii−i-11-11−ii
χ2711-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1-1-1−ii-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiii−i−iii111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-111-1-1−i−iii1-11-1−i−iii1-1−ii−ii1-1-11−ii
χ2811-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1-1-1−ii-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiii−i−iii111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1-1−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-1111-1-1−i−iii-11-11ii−i−i-11i−ii−i-111-1i−i
χ2911-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii-11-1i−i-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiiiii−i−i-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−i1-1−ii-11iiii−i−i−i−i-1-1-1-111111-1i−i−ii-1111-1-1−i−iii1-11-1−i−iii1-1i−i−ii-111-1i−i
χ3011-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii-11-1i−i-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiiiii−i−i-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−i1-1−ii-11iiii−i−i−i−i-1-1-1-11111-11−iii−i1-111-1-1−i−iii-11-11ii−i−i-11−iii−i1-1-11−ii
χ3111-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii-11-1i−i-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−i-11i−i1-1−i−i−i−iiiii1111-1-1-1-11-1i−i−ii-11-1-111ii−i−i-11-11ii−i−i1-1i−i−ii-11-11−ii
χ3211-1-1-111111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii-11-1i−i-1-111111−i−iii11−i−iii-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−i-11i−i1-1−i−i−i−iiiii1111-1-1-1-1-11−iii−i1-1-1-111ii−i−i1-11-1−i−iii-11−iii−i1-11-1i−i
χ332222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ342222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ352222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-21+521−52-21+521−52-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ362222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-21+521−52-21+521−52-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−522222-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
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χ1608-8−8i8i0-40−2−25−2+25400002+252−254i−4i4ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ13−4ζ37+4ζ53−4ζ77−4ζ13+4ζ37−4ζ53+4ζ77−4ζ29+4ζ61+4ζ101−4ζ1094ζ29−4ζ61−4ζ101+4ζ1094ζ7−4ζ23+4ζ47−4ζ103−4ζ7+4ζ23−4ζ47+4ζ103−4ζ31−4ζ71+4ζ79+4ζ1194ζ31+4ζ71−4ζ79−4ζ119000000001+51−5000000−1−5−1+50000−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ13+2ζ37−2ζ53+2ζ772ζ13−2ζ37+2ζ53−2ζ772ζ29−2ζ61−2ζ101+2ζ109−2ζ29+2ζ61+2ζ101−2ζ109−2ζ7+2ζ23−2ζ47+2ζ1032ζ7−2ζ23+2ζ47−2ζ1032ζ31+2ζ71−2ζ79−2ζ119−2ζ31−2ζ71+2ζ79+2ζ11900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8−8i8i0-40−2+25−2−25400002−252+254i−4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ29−4ζ61−4ζ101+4ζ109−4ζ29+4ζ61+4ζ101−4ζ1094ζ13−4ζ37+4ζ53−4ζ77−4ζ13+4ζ37−4ζ53+4ζ774ζ31+4ζ71−4ζ79−4ζ119−4ζ31−4ζ71+4ζ79+4ζ1194ζ7−4ζ23+4ζ47−4ζ103−4ζ7+4ζ23−4ζ47+4ζ103000000001−51+5000000−1+5−1−50000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ29+2ζ61+2ζ101−2ζ1092ζ29−2ζ61−2ζ101+2ζ109−2ζ13+2ζ37−2ζ53+2ζ772ζ13−2ζ37+2ζ53−2ζ77−2ζ31−2ζ71+2ζ79+2ζ1192ζ31+2ζ71−2ζ79−2ζ119−2ζ7+2ζ23−2ζ47+2ζ1032ζ7−2ζ23+2ζ47−2ζ10300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8−8i8i0-40−2+25−2−25400002−252+254i−4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ29+4ζ61+4ζ101−4ζ1094ζ29−4ζ61−4ζ101+4ζ109−4ζ13+4ζ37−4ζ53+4ζ774ζ13−4ζ37+4ζ53−4ζ77−4ζ31−4ζ71+4ζ79+4ζ1194ζ31+4ζ71−4ζ79−4ζ119−4ζ7+4ζ23−4ζ47+4ζ1034ζ7−4ζ23+4ζ47−4ζ103000000001−51+5000000−1+5−1−50000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ29−2ζ61−2ζ101+2ζ109−2ζ29+2ζ61+2ζ101−2ζ1092ζ13−2ζ37+2ζ53−2ζ77−2ζ13+2ζ37−2ζ53+2ζ772ζ31+2ζ71−2ζ79−2ζ119−2ζ31−2ζ71+2ζ79+2ζ1192ζ7−2ζ23+2ζ47−2ζ103−2ζ7+2ζ23−2ζ47+2ζ10300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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