Finite Group Databasebeta

← Group #14287193

Character table — Group #14287193

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888888888888888812121212121212121212121212121212121212122020202020202020202020202424242424242424242430303030404040404040606060606060
order1222444434444556661010101010101212121220202020202020204444121212121515202020202020202030303030303060606060606060601212121220202020202020206060606060606060606060606060606060606060606060608888404040404040404040404040404040408888242424242424242424101010102020202088888824242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1
χ91111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1-11111-1-1-1-1ii−i−ii−iii−i−ii−iii−i−i
χ101111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1-11111-1-1-1-1−i−iii−ii−i−iii−ii−i−iii
χ111111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-11-1-1-1-11111−i−iiii−iii−i−i−ii−i−iii
χ121111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-11-1-1-1-11111ii−i−i−ii−i−iiii−iii−i−i
χ131111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-11-1-1-1-11111ii−i−i−ii−i−iiii−i−i−iii
χ141111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-11-1-1-1-11111−i−iiii−iii−i−i−iiii−i−i
χ151111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i1-11111-1-1-1-1−i−iii−ii−i−iii−iiii−i−i
χ161111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii1-11111-1-1-1-1ii−i−ii−iii−i−ii−i−i−iii
χ172222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ182222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000-2-21+521+521−521−521+521+521−521−520000000000000000
χ192222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-21+521+521−521−521+521+521−521−520000000000000000
χ202222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ212222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ222222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000-2-21−521−521+521+521−521−521+521+520000000000000000
χ232222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-21−521−521+521+521−521−521+521+520000000000000000
χ242222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ25222222222-2-2-2-2222222222222222222222220000-2-2-2-222-2-2-2-2-2-2-2-222222222222222000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000002222000000-2-20000
χ26222222222-2-2-2-2222222222222222222222220000-2-2-2-222-2-2-2-2-2-2-2-222222222222222000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000-2-2-2-2000000220000
χ2722222222-1222222-1-1-1222222-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-10000000000000022-1-1-1-1000000
χ2822222222-1222222-1-1-1222222-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-21111111100000000000000-2-21111000000
χ2922222222-1222222-1-1-1222222-1-1-1-122222222-2-2-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000002222-1-1-1-1-1-1-1-100000000000000-2-21111000000
χ3022222222-1222222-1-1-1222222-1-1-1-122222222-2-2-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-2-2-2111111110000000000000022-1-1-1-1000000
χ312222-2-2-2-2222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521−521−521−521−5222-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000002-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ322222-2-2-2-2222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521−521−521−521−5222-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
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χ15688-8-88i−8i8i−8i-40000−2+25−2−254-44−2+252−25−2−252+252−252+25−4i4i−4i4i−4ζ14−4ζ46−4ζ86−4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ22−4ζ38−4ζ62−4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1184ζ22+4ζ38+4ζ62+4ζ118000000001−51+500000000−1+5−1−51−5−1+51+5−1−52ζ14+2ζ46+2ζ86+2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15788-8-8−8i8i−8i8i-40000−2−25−2+254-44−2−252+25−2+252−252+252−254i−4i4i−4i4ζ22+4ζ38+4ζ62+4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ14−4ζ46−4ζ86−4ζ94000000001+51−500000000−1−5−1+51+5−1−51−5−1+5−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ14+2ζ46+2ζ86+2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-8-8−8i8i−8i8i-40000−2+25−2−254-44−2+252−25−2−252+252−252+254i−4i4i−4i4ζ14+4ζ46+4ζ86+4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ22−4ζ38−4ζ62−4ζ118000000001−51+500000000−1+5−1−51−5−1+51+5−1−5−2ζ14−2ζ46−2ζ86−2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-8-8888-8-8-40000−2−25−2+25-4442+252+252−252−25−2−25−2+25-4-444−2−252+252+25−2−25−2+252−252−25−2+25000000001+51−5000000001+51−5−1−5−1−5−1+5−1+51+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-8-8888-8-8-40000−2+25−2−25-4442−252−252+252+25−2+25−2−25-4-444−2+252−252−25−2+25−2−252+252+25−2−25000000001−51+5000000001−51+5−1+5−1+5−1−5−1−51−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-88-8-888-40000−2−25−2+25-4442+252+252−252−25−2−25−2+2544-4-42+25−2−25−2−252+252−25−2+25−2+252−25000000001+51−5000000001+51−5−1−5−1−5−1+5−1+5−1−51+51+5−1−5−1+51−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-88-8-888-40000−2+25−2−25-4442−252−252+252+25−2+25−2−2544-4-42−25−2+25−2+252−252+25−2−25−2−252+25000000001−51+5000000001−51+5−1+5−1+5−1−5−1−5−1+51−51−5−1+5−1−51+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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