Finite Group Databasebeta

← Group #14303546

Character table — Group #14303546

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111111112222222222222222222222222222444444444444444444444444444488888888888888888888888888888888888888101010101212121212121212121212121212121212121212121212122020202020202020202024242424242424244040404040406060606060606060
order122222223444455666666610101010101010101010101010101212121215152020202020202020303030303030303030303030303044121212122020202020202020606060606060606060606060606060606060606060606060444444448888404040404040404040404040404040404412121212121212122020202020202020441212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ911-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−iii−i−i1111-1-1-1-11-111-1-1ii−i−i11-1-1
χ1011-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-111−i−iii−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−iii−i−i-1-1-1-111111-111-1-1−i−iii-1-111
χ1111-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii11-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii−i−iii1111-1-1-1-1-11-1-111−i−iii-1-111
χ1211-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii−i−iii-1-1-1-11111-11-1-111ii−i−i11-1-1
χ1311-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i11-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−iii−i−i1111-1-1-1-1-11-1-111ii−i−i-1-111
χ1411-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111ii−i−iiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−iii−i−i-1-1-1-11111-11-1-111−i−iii11-1-1
χ1511-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii−i−iii1111-1-1-1-11-111-1-1−i−iii11-1-1
χ1611-11-1-11-111-1-11111-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii−i−iii-1-1-1-111111-111-1-1ii−i−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+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
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+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000001+521+521−521−521+521+521−521−5200000000000000
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+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+52-2-2-2-2-2-21+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+521−521−521−521−5200002222-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
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+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+52-2-2-2-2-2-21+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+521−521−521−521−520000-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000001+521+521−521−521+521+521−521−5200000000000000
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+52−1−522222−1+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+52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
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+52−1−522222−1+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+52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000001−521−521+521+521−521−521+521+5200000000000000
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+52−1−522222−1+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+52−1−52-2-2-2-2-2-21−521−521+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+5200002222-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
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+52−1−522222−1+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+52−1−52-2-2-2-2-2-21−521−521+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+520000-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000001−521−521+521+521−521−521+521+5200000000000000
χ25222222222-2-2-2-222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000-2-22222-2-2-2-20000000000000000000000
χ26222222222-2-2-2-222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-200000000000000000000000022-2-2-2-222220000000000000000000000
χ2722222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000000000022-1-1-1-1-1-1-1-10000000022-1-1-1-100000000
χ2822222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000000000-2-21111111100000000-2-2111100000000
χ2922222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222200000000000000000000000022-1-1-1-1-1-1-1-100000000-2-2111100000000
χ3022222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000000000000000000000000-2-2111111110000000022-1-1-1-100000000
χ3122222222-1-2-2-2-222-1-1-1-1-1-1-1222222222222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32222000000000000000000000000-2-2-1-1-1-111110000000000−i3i3−i3i300000000
χ3222222222-1-2-2-2-222-1-1-1-1-1-1-1222222222222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2-2-2000000000000000000000000221111-1-1-1-10000000000i3−i3i3−i300000000
χ3322222222-1-2-2-2-222-1-1-1-1-1-1-1222222222222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32222000000000000000000000000-2-2-1-1-1-111110000000000i3−i3i3−i300000000
χ3422222222-1-2-2-2-222-1-1-1-1-1-1-1222222222222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2-2-2000000000000000000000000221111-1-1-1-10000000000−i3i3−i3i300000000
χ35222-22-2-2-2200002222-2-22-2-22222-222-2-2-2-2-2-2-2000022000000002-22-222-222-2-2-2-2-2000000000000000000000000000000000000002-22-200002−22−222−2−222−2−222−2−222−2−2002-22-200000000000000000000002−22−2
χ36222-22-2-2-2200002222-2-22-2-22222-222-2-2-2-2-2-2-2000022000000002-22-222-222-2-2-2-2-2000000000000000000000000000000000000002-22-20000−22−22−2−222−2−222−2−222−2−222002-22-20000000000000000000000−22−22
χ37222-22-2-2-2200002222-2-22-2-22222-222-2-2-2-2-2-2-2000022000000002-22-222-222-2-2-2-2-200000000000000000000000000000000000000-22-2200002−22−222−2−222−2−222−2−222−2−200-22-220000000000000000000000−22−22
χ38222-22-2-2-2200002222-2-22-2-22222-222-2-2-2-2-2-2-2000022000000002-22-222-222-2-2-2-2-200000000000000000000000000000000000000-22-220000−22−22−2−222−2−222−2−222−2−22200-22-2200000000000000000000002−22−2
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χ155888-88-8-8-8-40000−2−25−2+25-4-444-444−2−25−2+25−2−25−2−252+25−2+25−2+252−252+252−252+252−252+252−2500001+51−5000000001+5−1−51−5−1+51+51+5−1−51−51−5−1+5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ156888-88-8-8-8-40000−2+25−2−25-4-444-444−2+25−2−25−2+25−2+252−25−2−25−2−252+252−252+252−252+252−252+2500001−51+5000000001−5−1+51+5−1−51−51−5−1+51+51+5−1−5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15788-8-8-88-88-40000−2−25−2+25-44-444-44−2−25−2+252+252+25−2−252−252−25−2+252+252−25−2−25−2+252+252−2500001+51−5000000001+5−1−51−5−1+5−1−5−1−51+5−1+5−1+51−5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-8-8-88-88-40000−2+25−2−25-44-444-44−2+25−2−252−252−25−2+252+252+25−2−252−252+25−2+25−2−252−252+2500001−51+5000000001−5−1+51+5−1−5−1+5−1+51−5−1−5−1−51+5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-88-8-888-8-40000−2−25−2+254-4444-4-42+252−25−2−252+252+25−2+252−252−252+252−25−2−25−2+25−2−25−2+2500001+51−500000000−1−51+5−1+51−51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-88-8-888-8-40000−2+25−2−254-4444-4-42−252+25−2+252−252−25−2−252+252+252−252+25−2+25−2−25−2+25−2−2500001−51+500000000−1+51−5−1−51+51−5−1+5−1+51+5−1−5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-8-88-888-40000−2−25−2+2544-44-44-42+252−252+25−2−25−2−252−25−2+25−2+252+252−252+252−25−2−25−2+2500001+51−500000000−1−51+5−1+51−5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-8-88-888-40000−2+25−2−2544-44-44-42−252+252−25−2+25−2+252+25−2−25−2−252−252+252−252+25−2+25−2−2500001−51+500000000−1+51−5−1−51+5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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