Finite Group Databasebeta

← Group #14294677

Character table — Group #14294677

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444444445555666688888888888888888888101010101010121220202020202020202020202020202020242424242424242430303030404040404040404060606060606060606060
order12223446665881010101212202020202424242444442244153030304040404060606060120120120120120120120120221212121288668888888888242424241010202040404040224424242424242424248888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i
χ611111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11−i−i−i−iiiii
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11iiii−i−i−i−i
χ911111111111-1-1111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1
χ1011111111111-1-1111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ1111111111111-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111
χ1211111111111-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1
χ1311111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1ii−i−i−i−iii11ii−i−i−i−iii
χ1411111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1−i−iiiii−i−i11−i−iiiii−i−i
χ1511111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii1111-1-1-1-111111111ii−i−i−i−iii-1-1−i−iiiii−i−i
χ1611111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i1111-1-1-1-111111111−i−iiiii−i−i-1-1ii−i−i−i−iii
χ171-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i11-1-11-11-11-1-11ii−i−i11-1-1iiii−i−i−i−i1-111-1-1i−i1-1i−i1-1i−i1-1i−iii−i−i1-11-1ii−i−i1-11-11-1i−i1-1i−ii−i1-1i−i1-1i−i
χ181-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i11-1-11-11-11-1-11ii−i−i11-1-1iiii−i−i−i−i1-111-1-1i−i1-1i−i-11−ii-11−iiii−i−i1-11-1ii−i−i1-11-1-11−ii-11−iii−i-11−ii-11−ii
χ191-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i11-1-1-11-111-1-11ii−i−i11-1-1iiii−i−i−i−i1-111-1-1−ii1-1i−i1-1i−i1-1i−iii−i−i-11-11−i−iii-11-111-1i−i1-1i−i−ii-11−ii-11−ii
χ201-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i11-1-1-11-111-1-11ii−i−i11-1-1iiii−i−i−i−i1-111-1-1−ii1-1i−i-11−ii-11−iiii−i−i-11-11−i−iii-11-11-11−ii-11−ii−ii1-1i−i1-1i−i
χ211-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i-1-1111-11-11-1-11ii−i−i11-1-1iiii−i−i−i−i-11-1-111i−i-11−iii−i-11−ii1-1−i−iii1-11-1ii−i−i-11-11i−i-11−ii1-1−iii−i-11−ii1-1
χ221-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i-1-1111-11-11-1-11ii−i−i11-1-1iiii−i−i−i−i-11-1-111i−i-11−ii−ii1-1i−i-11−i−iii1-11-1ii−i−i-11-11−ii1-1i−i-11−ii−ii1-1i−i-11
χ231-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i-1-111-11-111-1-11ii−i−i11-1-1iiii−i−i−i−i-11-1-111−ii-11−iii−i-11−ii1-1−i−iii-11-11−i−iii1-11-1i−i-11−ii1-1i−i−ii1-1i−i-11
χ241-1-1111-1-1-111i−i-1-111-111-1-1ii−i−i-1-111-11-111-1-11ii−i−i11-1-1iiii−i−i−i−i-11-1-111−ii-11−ii−ii1-1i−i-11−i−iii-11-11−i−iii1-11-1−ii1-1i−i-11i−ii−i-11−ii1-1
χ251-1-1111-1-1-111−ii-1-111-111-1-1−i−iii11-1-11-11-11-1-11−i−iii11-1-1−i−i−i−iiiii1-111-1-1−ii1-1−ii1-1−ii1-1−ii−i−iii1-11-1−i−iii1-11-11-1−ii1-1−ii−ii1-1−ii1-1−ii
χ261-1-1111-1-1-111−ii-1-111-111-1-1−i−iii11-1-11-11-11-1-11−i−iii11-1-1−i−i−i−iiiii1-111-1-1−ii1-1−ii-11i−i-11i−i−i−iii1-11-1−i−iii1-11-1-11i−i-11i−i−ii-11i−i-11i−i
χ271-1-1111-1-1-111−ii-1-111-111-1-1−i−iii11-1-1-11-111-1-11−i−iii11-1-1−i−i−i−iiiii1-111-1-1i−i1-1−ii1-1−ii1-1−ii−i−iii-11-11ii−i−i-11-111-1−ii1-1−iii−i-11i−i-11i−i
χ281-1-1111-1-1-111−ii-1-111-111-1-1−i−iii11-1-1-11-111-1-11−i−iii11-1-1−i−i−i−iiiii1-111-1-1i−i1-1−ii-11i−i-11i−i−i−iii-11-11ii−i−i-11-11-11i−i-11i−ii−i1-1−ii1-1−ii
χ291-1-1111-1-1-111−ii-1-111-111-1-1−i−iii-1-1111-11-11-1-11−i−iii11-1-1−i−i−i−iiiii-11-1-111−ii-11i−ii−i1-1−ii-11ii−i−i1-11-1−i−iii-11-11i−i1-1−ii-11i−ii−i1-1−ii-11
χ301-1-1111-1-1-111−ii-1-111-111-1-1−i−iii-1-1111-11-11-1-11−i−iii11-1-1−i−i−i−iiiii-11-1-111−ii-11i−i−ii-11i−i1-1ii−i−i1-11-1−i−iii-11-11−ii-11i−i1-1i−i−ii-11i−i1-1
χ311-1-1111-1-1-111−ii-1-111-111-1-1−i−iii-1-111-11-111-1-11−i−iii11-1-1−i−i−i−iiiii-11-1-111i−i-11i−ii−i1-1−ii-11ii−i−i-11-11ii−i−i1-11-1i−i1-1−ii-11−ii−ii-11i−i1-1
χ321-1-1111-1-1-111−ii-1-111-111-1-1−i−iii-1-111-11-111-1-11−i−iii11-1-1−i−i−i−iiiii-11-1-111i−i-11i−i−ii-11i−i1-1ii−i−i-11-11ii−i−i1-11-1−ii-11i−i1-1−iii−i1-1−ii-11
χ3322222-2-2222200222-2-2-2-2-2-20000222222-2-222220000-2-2-2-200000000-2-2222200-2-20000000000000022-2-20000-2-222000000000000000000
χ3422222-2-2222200222-2-2-2-2-2-200002222-2-22222220000-2-2-2-200000000-2-2222200-2-200000000000000-2-222000022-2-2000000000000000000
χ3522222-2-2222200222-2-2-2-2-2-20000-2-2-2-222-2-222220000-2-2-2-20000000022-2-2-2-200220000000000000022-2-2000022-2-2000000000000000000
χ3622222-2-2222200222-2-2-2-2-2-20000-2-2-2-2-2-22222220000-2-2-2-20000000022-2-2-2-2002200000000000000-2-2220000-2-222000000000000000000
χ372222-122-1-1-1222222-1-12222-1-1-1-122220000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-1-12222222222-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000
χ382222-122-1-1-1222222-1-12222-1-1-1-122220000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-1-122-2-2-2-2-2-2-2-2-1-1-1-1000000000000111111110000000000
χ392222-122-1-1-1222222-1-12222-1-1-1-1-2-2-2-20000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110011-2-22i2i2i2i−2i−2i−2i−2i1111000000000000−i−i−i−iiiii0000000000
χ402222-122-1-1-1222222-1-12222-1-1-1-1-2-2-2-20000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110011-2-2−2i−2i−2i−2i2i2i2i2i1111000000000000iiii−i−i−i−i0000000000
χ412222-122-1-1-12-2-2222-1-12222111122220000-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-100-1-1-2-222-2-222-2-21111000000000000-1-111-1-1110000000000
χ422222-122-1-1-12-2-2222-1-12222111122220000-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-100-1-1-2-2-2-222-2-222111100000000000011-1-111-1-10000000000
χ432222-122-1-1-12-2-2222-1-122221111-2-2-2-20000-1-1-1-1-2-2-2-2-1-1-1-111111111-2-211110011222i2i−2i−2i−2i−2i2i2i-1-1-1-1000000000000−i−iiiii−i−i0000000000
χ442222-122-1-1-12-2-2222-1-122221111-2-2-2-20000-1-1-1-1-2-2-2-2-1-1-1-111111111-2-21111001122−2i−2i2i2i2i2i−2i−2i-1-1-1-1000000000000ii−i−i−i−iii0000000000
χ452-2-222-22-2-22200-2-22-22-2-222000022-2-22-2-222-2-220000-2-22200000000-2222-2-200-22000000000000002-2-220000-222-2000000000000000000
χ462-2-222-22-2-22200-2-22-22-2-222000022-2-2-222-22-2-220000-2-22200000000-2222-2-200-2200000000000000-222-200002-2-22000000000000000000
χ472-2-222-22-2-22200-2-22-22-2-2220000-2-2222-2-222-2-220000-2-222000000002-2-2-222002-2000000000000002-2-2200002-2-22000000000000000000
χ482-2-222-22-2-22200-2-22-22-2-2220000-2-222-222-22-2-220000-2-222000000002-2-2-222002-200000000000000-222-20000-222-2000000000000000000
χ492-2-22-12-211-122i−2i-2-22-1122-2-2−i−iii22-2-20000-111-12i2i−2i−2i-1-111−i−i−i−iiiii2-2-1-11100-112i−2i2-22i−2i2-22i−2i−i−iii000000000000-11−ii-11−ii0000000000
χ502-2-22-12-211-122i−2i-2-22-1122-2-2−i−iii22-2-20000-111-12i2i−2i−2i-1-111−i−i−i−iiiii2-2-1-11100-112i−2i-22−2i2i-22−2i2i−i−iii0000000000001-1i−i1-1i−i0000000000
χ512-2-22-12-211-122i−2i-2-22-1122-2-2−i−iii-2-2220000-111-12i2i−2i−2i-1-111−i−i−i−iiiii-2211-1-1001-1−2i2i2i−2i-22−2i2i2-2ii−i−i000000000000−ii1-1i−i-110000000000
χ522-2-22-12-211-122i−2i-2-22-1122-2-2−i−iii-2-2220000-111-12i2i−2i−2i-1-111−i−i−i−iiiii-2211-1-1001-1−2i2i−2i2i2-22i−2i-22ii−i−i000000000000i−i-11−ii1-10000000000
χ532-2-22-12-211-12−2i2i-2-22-1122-2-2ii−i−i22-2-20000-111-1−2i−2i2i2i-1-111iiii−i−i−i−i2-2-1-11100-11−2i2i2-2−2i2i2-2−2i2iii−i−i000000000000-11i−i-11i−i0000000000
χ542-2-22-12-211-12−2i2i-2-22-1122-2-2ii−i−i22-2-20000-111-1−2i−2i2i2i-1-111iiii−i−i−i−i2-2-1-11100-11−2i2i-222i−2i-222i−2iii−i−i0000000000001-1−ii1-1−ii0000000000
χ552-2-22-12-211-12−2i2i-2-22-1122-2-2ii−i−i-2-2220000-111-1−2i−2i2i2i-1-111iiii−i−i−i−i-2211-1-1001-12i−2i2i−2i2-2−2i2i-22−i−iii000000000000−ii-11i−i1-10000000000
χ562-2-22-12-211-12−2i2i-2-22-1122-2-2ii−i−i-2-2220000-111-1−2i−2i2i2i-1-111iiii−i−i−i−i-2211-1-1001-12i−2i−2i2i-222i−2i2-2−i−iii000000000000i−i1-1−ii-110000000000
χ574444444444-144-1-1-144-1-1-1-1444400004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000440000000000000000-1-1-1-1-1-1-1-10000000000000000000000
χ584444444444-144-1-1-144-1-1-1-144440000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-4-40000000000000000111111110000000000000000000000
χ594444444444-1-4-4-1-1-144-1-1-1-1-4-4-4-400004444-1-1-1-11111-1-1-1-111111111000000-4-40000000000000000-1-1-1-111110000000000000000000000
χ604444444444-1-4-4-1-1-144-1-1-1-1-4-4-4-40000-4-4-4-4-1-1-1-11111-1-1-1-1111111110000004400000000000000001111-1-1-1-10000000000000000000000
χ6144444-4-4444-100-1-1-1-4-411110000000044-4-4-1-1-1-1−i5i5−i5i51111−i5−i5i5i5−i5−i5i5i5000000000000000000000000-1-111−i5i5−i5i50000000000000000000000
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χ7044-4-4-200-2224004-4-4000000−i6i6−i6i6−4i4i−4i4i0000-2-22200000000−i6i6−i6i6−i6i6−i6i6002i−2i2i−2i00000000000000−66−66000000000000000000000000000000
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χ7244-4-4-200-2224004-4-4000000i6−i6i6−i6−4i4i−4i4i0000-2-22200000000i6−i6i6−i6i6−i6i6−i6002i−2i2i−2i000000000000006−66−6000000000000000000000000000000
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χ784-44-4-2002-22400-44-4000000−666−6−4i4i4i−4i0000-22-2200000000−66−666−66−6002i−2i−2i2i00000000000000i6−i6−i6i6000000000000000000000000000000
χ794-4-4444-4-4-44-14i−4i11-14-4-1-1114i4i−4i−4i00004-44-4-111-1−i−iii-1-111−i−i−i−iiiii0000004i−4i0000000000000000-11-11−i−iii0000000000000000000000
χ804-4-4444-4-4-44-14i−4i11-14-4-1-1114i4i−4i−4i0000-44-44-111-1−i−iii-1-111−i−i−i−iiiii000000−4i4i00000000000000001-11-1ii−i−i0000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.