Finite Group Databasebeta

← Group #14412805

Character table — Group #14412805

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222444444444444444444445555888888888888888888101010101010202020202020202030303030303030306060606011112222224444444444444444444455558888888888888888881010101010102020202020202020303030303030303060606060
order1244234612122456661012121215152020303060606060224410101020202030303030303060606060606024661212246661212124444444488882244264612122410666101212123030202030306060606022441010102020203030303030306060606060602466121224666121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111-1-111-1-111-1-1111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11-1-11-1-111111111-1-1-1-11111111111-1-111-1-111-1-1111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11-1-11-1-111111111-1-1-1-1
χ61111111111-1-111-1-111-1-1111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-111-1-111-1-11111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111iiii−i−i−i−i−i−iii1111111111-1-111-1-111-1-11111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111iiii−i−i−i−i−i−iii
χ81111111111-1-111-1-111-1-11111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111−i−i−i−iiiiiii−i−i1111111111-1-111-1-111-1-11111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111−i−i−i−iiiiiii−i−i
χ911-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-111-1-1-1111-1-1-1-1111111-1-1-1-1-1111-1-11-1-1111-1-1ii−i−iii−i−ii−ii−i11-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-111-1-1-1111-1-1-1-1111111-1-1-1-1-1111-1-11-1-1111-1-1ii−i−iii−i−ii−ii−i
χ1011-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-111-1-1-1111-1-1-1-1111111-1-1-1-1-1111-1-11-1-1111-1-1−i−iii−i−iii−ii−ii11-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-111-1-1-1111-1-1-1-1111111-1-1-1-1-1111-1-11-1-1111-1-1−i−iii−i−iii−ii−ii
χ1111-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-1-1-111-111-1-1-11111-1-1-1-1111-1-1111-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-1-1-111-111-1-1-11111-1-1-1-1111-1-11
χ1211-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-1-1-111-111-1-1-111-1-11111-1-1-111-111-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-1-1-111-111-1-1-111-1-11111-1-1-111-1
χ1311-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111111-1111-1-1-11-1-1-1111ii−i−iii−i−i−ii−ii11-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111111-1111-1-1-11-1-1-1111ii−i−iii−i−i−ii−ii
χ1411-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111111-1111-1-1-11-1-1-1111−i−iii−i−iiii−ii−i11-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111111-1111-1-1-11-1-1-1111−i−iii−i−iiii−ii−i
χ1511-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-11111111-1-1-1111-1111-1-1-111-1-1-1-111-111-111-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-11111111-1-1-1111-1111-1-1-111-1-1-1-111-111-1
χ1611-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-11111111-1-1-1111-1111-1-1-1-1-11111-1-11-1-1111-1-1-1111-1-1-111-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-11111111-1-1-1111-1111-1-1-1-1-11111-1-11-1-11
χ1722222-12-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-100000000000022222-12-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000
χ1822222-12-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-211111100000000000022222-12-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111111000000000000
χ1922222-12-1-1-1-2-22-1112-111-1-122-1-1-1-1-1-122222-2-22-2-2-1-11111-1-1111122-1-1-1-1-2-2-111-11100000000000022222-12-1-1-1-2-22-1112-111-1-122-1-1-1-1-1-122222-2-22-2-2-1-11111-1-1111122-1-1-1-1-2-2-111-111000000000000
χ2022222-12-1-1-1-2-22-1112-111-1-122-1-1-1-1-1-1-2-2-2-22-2-22-2-2-1-11111-1-11111-2-21111221-1-11-1-100000000000022222-12-1-1-1-2-22-1112-111-1-122-1-1-1-1-1-1-2-2-2-22-2-22-2-2-1-11111-1-11111-2-21111221-1-11-1-1000000000000
χ212222-22-2222002-2002-20022222222222222-200-200-2-20000-2-20000-2-2222200-200-2000000000000002222-22-2222002-2002-20022222222222222-200-200-2-20000-2-20000-2-2222200-200-200000000000000
χ222222-22-2222002-2002-2002222222222-2-2-2-2-200-200-2-20000-2-2000022-2-2-2-2002002000000000000002222-22-2222002-2002-2002222222222-2-2-2-2-200-200-2-20000-2-2000022-2-2-2-200200200000000000000
χ232222-2-1-2-1-1-10021−i3i321−i3i3-1-122-1-1-1-1-1-12222-200-20011−i3−i3i3i311−i3−i3i3i3-2-2-1-1-1-1001−i3i31−i3i30000000000002222-2-1-2-1-1-10021−i3i321−i3i3-1-122-1-1-1-1-1-12222-200-20011−i3−i3i3i311−i3−i3i3i3-2-2-1-1-1-1001−i3i31−i3i3000000000000
χ242222-2-1-2-1-1-10021−i3i321−i3i3-1-122-1-1-1-1-1-1-2-2-2-2-200-20011−i3−i3i3i311−i3−i3i3i322111100-1i3−i3-1i3−i30000000000002222-2-1-2-1-1-10021−i3i321−i3i3-1-122-1-1-1-1-1-1-2-2-2-2-200-20011−i3−i3i3i311−i3−i3i3i322111100-1i3−i3-1i3−i3000000000000
χ252222-2-1-2-1-1-10021i3−i321i3−i3-1-122-1-1-1-1-1-12222-200-20011i3i3−i3−i311i3i3−i3−i3-2-2-1-1-1-1001i3−i31i3−i30000000000002222-2-1-2-1-1-10021i3−i321i3−i3-1-122-1-1-1-1-1-12222-200-20011i3i3−i3−i311i3i3−i3−i3-2-2-1-1-1-1001i3−i31i3−i3000000000000
χ262222-2-1-2-1-1-10021i3−i321i3−i3-1-122-1-1-1-1-1-1-2-2-2-2-200-20011i3i3−i3−i311i3i3−i3−i322111100-1−i3i3-1−i3i30000000000002222-2-1-2-1-1-10021i3−i321i3−i3-1-122-1-1-1-1-1-1-2-2-2-2-200-20011i3i3−i3−i311i3i3−i3−i322111100-1−i3i3-1−i3i3000000000000
χ2722-2-222-22-2-20022002-20022-2-222-2-2-2-222-2-2200-200220000-2-200002-222-2-200200-20000000000000022-2-222-22-2-20022002-20022-2-222-2-2-2-222-2-2200-200220000-2-200002-222-2-200200-200000000000000
χ2822-2-222-22-2-20022002-20022-2-222-2-2-2-2-2-222200-200220000-2-20000-22-2-22200-20020000000000000022-2-222-22-2-20022002-20022-2-222-2-2-2-2-2-222200-200220000-2-20000-22-2-22200-200200000000000000
χ2922-2-22-1-2-111002-1−i3i321i3−i3-1-1-2-2-1-1111122-2-2200-200-1-1−i3−i3i3i311i3i3−i3−i32-2-1-11100-1−i3i31i3−i300000000000022-2-22-1-2-111002-1−i3i321i3−i3-1-1-2-2-1-1111122-2-2200-200-1-1−i3−i3i3i311i3i3−i3−i32-2-1-11100-1−i3i31i3−i3000000000000
χ3022-2-22-1-2-111002-1−i3i321i3−i3-1-1-2-2-1-11111-2-222200-200-1-1−i3−i3i3i311i3i3−i3−i3-2211-1-1001i3−i3-1−i3i300000000000022-2-22-1-2-111002-1−i3i321i3−i3-1-1-2-2-1-11111-2-222200-200-1-1−i3−i3i3i311i3i3−i3−i3-2211-1-1001i3−i3-1−i3i3000000000000
χ3122-2-22-1-2-111002-1i3−i321−i3i3-1-1-2-2-1-1111122-2-2200-200-1-1i3i3−i3−i311−i3−i3i3i32-2-1-11100-1i3−i31−i3i300000000000022-2-22-1-2-111002-1i3−i321−i3i3-1-1-2-2-1-1111122-2-2200-200-1-1i3i3−i3−i311−i3−i3i3i32-2-1-11100-1i3−i31−i3i3000000000000
χ3222-2-22-1-2-111002-1i3−i321−i3i3-1-1-2-2-1-11111-2-222200-200-1-1i3i3−i3−i311−i3−i3i3i3-2211-1-1001−i3i3-1i3−i300000000000022-2-22-1-2-111002-1i3−i321−i3i3-1-1-2-2-1-11111-2-222200-200-1-1i3i3−i3−i311−i3−i3i3i3-2211-1-1001−i3i3-1i3−i3000000000000
χ3322-2-2-2-12-1112-221-1-12-111-1-1-2-2-1-1111122-2-2-2222-2-211-1-1-1-1-1-11111-22-1-1112-21-1-1-11100000000000022-2-2-2-12-1112-221-1-12-111-1-1-2-2-1-1111122-2-2-2222-2-211-1-1-1-1-1-11111-22-1-1112-21-1-1-111000000000000
χ3422-2-2-2-12-1112-221-1-12-111-1-1-2-2-1-11111-2-222-2222-2-211-1-1-1-1-1-111112-211-1-1-22-1111-1-100000000000022-2-2-2-12-1112-221-1-12-111-1-1-2-2-1-11111-2-222-2222-2-211-1-1-1-1-1-111112-211-1-1-22-1111-1-1000000000000
χ3522-2-2-2-12-111-2221112-1-1-1-1-1-2-2-1-1111122-2-2-2-2-2222111111-1-1-1-1-1-1-22-1-111-22111-1-1-100000000000022-2-2-2-12-111-2221112-1-1-1-1-1-2-2-1-1111122-2-2-2-2-2222111111-1-1-1-1-1-1-22-1-111-22111-1-1-1000000000000
χ3622-2-2-2-12-111-2221112-1-1-1-1-1-2-2-1-11111-2-222-2-2-2222111111-1-1-1-1-1-12-211-1-12-2-1-1-111100000000000022-2-2-2-12-111-2221112-1-1-1-1-1-2-2-1-11111-2-222-2-2-2222111111-1-1-1-1-1-12-211-1-12-2-1-1-1111000000000000
χ372-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00002-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ382-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00002-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ392-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i-22−2i2i00000000000000000000-22−2i2i000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00002-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i-22−2i2i00000000000000000000-22−2i2i000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ402-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i-22−2i2i00000000000000000000-22−2i2i00000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00002-22i−2i020-22i−2i002000-2000222i−2i-2-22i2i−2i−2i-22−2i2i00000000000000000000-22−2i2i00000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ412-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i2-2−2i2i000000000000000000002-2−2i2i000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00002-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i2-2−2i2i000000000000000000002-2−2i2i000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ422-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i2-2−2i2i000000000000000000002-2−2i2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00002-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i2-2−2i2i000000000000000000002-2−2i2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ432-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i00002-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ442-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i00000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00002-2−2i2i020-2−2i2i002000-200022−2i2i-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i00000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ45444444444444-1444-1444-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000444444444444-1444-1444-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ464444444444-4-4-14-4-4-14-4-4-1-1-1-1-1-1-1-1-1-10000-111-111-1-11111-1-11111000000000000000000000000004444444444-4-4-14-4-4-14-4-4-1-1-1-1-1-1-1-1-1-10000-111-111-1-11111-1-1111100000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.