Finite Group Databasebeta

← Group #14303436

Character table — Group #14303436

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888888888888888812121212121212121212121212121212121212122020202020202020202020202424242424242424242430303030404040404040606060606060
order122222223444455666666610101010101010101010101010104444121212121515202020202020202030303030303030303030303030301212121220202020202020206060606060606060606060606060606060606060606060608888404040404040404040404040404040408888242424242424242444202020202020202044444412121212444444
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
χ91-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111ii−i−i1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-11-11111-1-1-1-1ii−i−ii−iii−i−ii−i11-1-1
χ101-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111ii−i−i1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-111111-11111-1-1-1-1−i−iii−ii−i−iii−ii-1-111
χ111-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111ii−i−i1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1-11-1-1-1-11111−i−iiii−iii−i−i−ii-1-111
χ121-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111ii−i−i1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111-11-1-1-1-11111ii−i−i−ii−i−iiii−i11-1-1
χ131-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111−i−iii1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1-11-1-1-1-11111ii−i−i−ii−i−iiii−i-1-111
χ141-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111−i−iii1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111-11-1-1-1-11111−i−iiii−iii−i−i−ii11-1-1
χ151-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111−i−iii1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-11-11111-1-1-1-1−i−iii−ii−i−iii−ii11-1-1
χ161-11-11-1-1111-1-111111-1-11-1-111-1-1-1-1-1-111-1-111−i−iii1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-111111-11111-1-1-1-1ii−i−ii−iii−i−ii−i-1-111
χ172222222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+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+522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+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+52−1−522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+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+52−1−522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+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
χ2722222222-1222222-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-10000000000000022-1-1-1-1000000
χ2822222222-1222222-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-21111111100000000000000-2-21111000000
χ2922222222-1222222-1-1-1-1-1-1-122222222222222-2-2-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000002222-1-1-1-1-1-1-1-100000000000000-2-21111000000
χ3022222222-1222222-1-1-1-1-1-1-122222222222222-2-2-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-2-2-2111111110000000000000022-1-1-1-1000000
χ312222-2-2-2-2222-2-222-2-22-222-2-2-22-2-22-2-22222-2-22-22-222-2-2222-22-222-2-2-2-2-2-22-2-22-2-222222-22-22-22-22-22-22-22-22-22-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000
χ322222-2-2-2-2222-2-222-2-22-222-2-2-22-2-22-2-22222-2-2-22-2222-2-2222-22-222-2-2-2-2-2-22-2-22-2-22222-22-22-22-22-22-222-22-22-22-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ332222-2-2-2-2222-2-2−1−52−1+52-2-22-222-21+521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1+521+521−522-22-222-2-2−1−52−1+52−1−521+52−1+521−52−1−52−1+521+521−521+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1+522-22-2−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ9400000000000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000000000000
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χ15888-8-8-88-88-40000−2+25−2−254-4-4-4444−2+25−2−25−2+252−25−2+25−2−252+25−2−252−252+252−252+252−252+25000000001−51+500000000−1+51−5−1−51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-8-8888-8-8-40000−2−25−2+25-444-44-442+252−252+252+25−2−252−252−25−2+252+252−25−2−25−2+25−2−25−2+25000000001+51−5000000001+5−1−51−5−1+5−1−5−1−51+5−1+5−1+51−5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-8-8888-8-8-40000−2+25−2−25-444-44-442−252+252−252−25−2+252+252+25−2−252−252+25−2+25−2−25−2+25−2−25000000001−51+5000000001−5−1+51+5−1−5−1+5−1+51−5−1−5−1−51+5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-88-8-888-40000−2−25−2+254-4444-4-4−2−25−2+252+25−2−252+252−25−2+252−252+252−25−2−25−2+252+252−25000000001+51−500000000−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-88-8-888-40000−2+25−2−254-4444-4-4−2+25−2−252−25−2+252−252+25−2−252+252−252+25−2+25−2−252−252+25000000001−51+500000000−1+51−5−1−51+5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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