Finite Group Databasebeta

← Group #14299995

Character table — Group #14299995

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222444444444444555588888888888888888888881010101010101212202020202020202020202020243030303040404040404040404040484848486060606060606060120
order122234466658810101012122424242422221520203030304040404060606060120120120120120120120120446666224444881212242424244444444121212121212121210102020224488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11
χ3111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-11ii−i−ii−iiiii−i−i−i−i1111-1-1i−iii−i−i-1
χ61111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-11−i−iii−ii−i−i−i−iiiii1111-1-1−ii−i−iii-1
χ71111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1−i−iiii−iiiii−i−i−i−i-1-1-1-111−ii−i−iii1
χ81111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1ii−i−i−ii−i−i−i−iiiii-1-1-1-111i−iii−i−i1
χ911111111111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1
χ1011111111111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1
χ1111111111111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111
χ1211111111111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-111-1-111-1-111-1-1-1-11
χ1311111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i11-1-11111-1ii−i−i−iiii−i−i−i−iii11-1-1-1-1i−i−i−iii1
χ1411111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii11-1-11111-1−i−iiii−i−i−iiiii−i−i11-1-1-1-1−iiii−i−i1
χ1511111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11-1-111111−i−iii−iiii−i−i−i−iii-1-11111−iiii−i−i-1
χ1611111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11-1-111111ii−i−ii−i−i−iiiii−i−i-1-11111i−i−i−iii-1
χ1722222-2-2222200222-2-2000022222-2-22220000-2-2-2-200000000-2-2222200000000-2-20000022220000000000000000-2-200000
χ1822222-2-2222200222-2-2000022222-2-22220000-2-2-2-200000000-2-2222200000000-2-200000-2-2-2-200000000000000002200000
χ1922222-2-2222200222-2-20000-2-2-2-22-2-22220000-2-2-2-20000000022-2-2-2-20000000022000002i2i−2i−2i0000000000000000−2i2i00000
χ2022222-2-2222200222-2-20000-2-2-2-22-2-22220000-2-2-2-20000000022-2-2-2-2000000002200000−2i−2i2i2i00000000000000002i−2i00000
χ212222-122-1-1-1222222-1-1-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100222222-1-1-1-1-1-10000022-1-1-1-1-1-1-1-10000000000000
χ222222-122-1-1-1222222-1-1-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-222-1-1-1-1-1-100000-2-2111111110000000000000
χ232222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111002i2i−2i−2i-2-2111111000002i−2i−i−i−i−iiiii0000000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100−2i−2i2i2i-2-211111100000−2i2iiiii−i−i−i−i0000000000000
χ252222-122-1-1-12-2-2222-1-111112222-122-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-1002222-2-2-1-1111100000-2-2-1-111-1-1110000000000000
χ262222-122-1-1-12-2-2222-1-111112222-122-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-100-2-2-2-2-2-2-1-11111000002211-1-111-1-10000000000000
χ272222-122-1-1-12-2-2222-1-11111-2-2-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-21111002i2i−2i−2i2211-1-1-1-100000−2i2i−i−iiiii−i−i0000000000000
χ282222-122-1-1-12-2-2222-1-11111-2-2-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-2111100−2i−2i2i2i2211-1-1-1-1000002i−2iii−i−i−i−iii0000000000000
χ292-22-222-2-2-22200-22-22-2000022-2-222-2-2-22000022-2-2000000002-222-2-22-20000002-200000000000000000002-2002-20000000
χ302-22-222-2-2-22200-22-22-2000022-2-222-2-2-22000022-2-2000000002-222-2-2-220000002-20000000000000000000-2200-220000000
χ312-22-222-2-2-22200-22-22-20000-2-22222-2-2-22000022-2-200000000-22-2-2222-2000000-2200000000000000000002-200-220000000
χ322-22-222-2-2-22200-22-22-20000-2-22222-2-2-22000022-2-200000000-22-2-222-22000000-220000000000000000000-22002-20000000
χ332-22-22-22-2-22200-22-2-22000022-2-22-22-2-220000-2-22200000000-2222-2-2002i−2i2i−2i00-22000000000002i−2i002i−2i000000000000000
χ342-22-22-22-2-22200-22-2-22000022-2-22-22-2-220000-2-22200000000-2222-2-200−2i2i−2i2i00-2200000000000−2i2i00−2i2i000000000000000
χ352-22-22-22-2-22200-22-2-220000-2-2222-22-2-220000-2-222000000002-2-2-222002-2-22002-2000000000002-200-22000000000000000
χ362-22-22-22-2-22200-22-2-220000-2-2222-22-2-220000-2-222000000002-2-2-22200-222-2002-200000000000-22002-2000000000000000
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χ392-22-2-1-2211-1200-22-21-1−i3−i3i3i3-2-222-1-2211-1000011-1-1−i3−i3−i3−i3i3i3i3i32-211-1-1002-2-2200-11i3i3−i3−i30000000-11−i3i31-1i3−i30000000000000
χ402-22-2-1-2211-1200-22-21-1−i3−i3i3i3-2-222-1-2211-1000011-1-1−i3−i3−i3−i3i3i3i3i32-211-1-100-222-200-11i3i3−i3−i300000001-1i3−i3-11−i3i30000000000000
χ412-22-2-1-2211-1200-22-21-1i3i3−i3−i322-2-2-1-2211-1000011-1-1i3i3i3i3−i3−i3−i3−i3-22-1-111002i−2i2i−2i001-1i3i3−i3−i30000000−ii−33−ii−330000000000000
χ422-22-2-1-2211-1200-22-21-1i3i3−i3−i322-2-2-1-2211-1000011-1-1i3i3i3i3−i3−i3−i3−i3-22-1-11100−2i2i−2i2i001-1i3i3−i3−i30000000i−i3−3i−i3−30000000000000
χ432-22-2-1-2211-1200-22-21-1i3i3−i3−i3-2-222-1-2211-1000011-1-1i3i3i3i3−i3−i3−i3−i32-211-1-1002-2-2200-11−i3−i3i3i30000000-11i3−i31-1−i3i30000000000000
χ442-22-2-1-2211-1200-22-21-1i3i3−i3−i3-2-222-1-2211-1000011-1-1i3i3i3i3−i3−i3−i3−i32-211-1-100-222-200-11−i3−i3i3i300000001-1−i3i3-11i3−i30000000000000
χ452-2-222002-2-222−2-2-22002−22−22-22-22002-2-222−2−2000022−2−222−2−2002-22-20000002−2002−22−202i−2i2i−2i000000000000000000−i2i2−i2i20
χ462-2-222002-2-222−2-2-22002−22−22-22-22002-2-222−2−2000022−2−222−2−2002-22-20000002−2002−22−20−2i2i−2i2i000000000000000000i2−i2i2−i20
χ472-2-222002-2-222−2-2-22002−22−2-22-222002-2-222−2−2000022−2−222−2−200-22-22000000−2200−22−2202-2-22000000000000000000−222−20
χ482-2-222002-2-222−2-2-22002−22−2-22-222002-2-222−2−2000022−2−222−2−200-22-22000000−2200−22−220-222-20000000000000000002−2−220
χ492-2-222002-2-22−22-2-2200−22−222-22-22002-2-2−2−2220000−2−222−2−222002-22-2000000−2200−22−2202i−2i2i−2i000000000000000000i2−i2i2−i20
χ502-2-222002-2-22−22-2-2200−22−222-22-22002-2-2−2−2220000−2−222−2−222002-22-2000000−2200−22−220−2i2i−2i2i000000000000000000−i2i2−i2i20
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χ522-2-222002-2-22−22-2-2200−22−22-22-222002-2-2−2−2220000−2−222−2−22200-22-220000002−2002−22−20-222-2000000000000000000−222−20
χ534444444444-144-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000044000000000000400000000000000-1-1-1-1000000000
χ544444444444-144-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-4-4000000000000-4000000000000001111000000000
χ554444444444-1-4-4-1-1-144-4-4-4-40000-1-1-1-1-1-11111-1-1-1-11111111100000044000000000000-400000000000000-1-111000000000
χ564444444444-1-4-4-1-1-144-4-4-4-40000-1-1-1-1-1-11111-1-1-1-111111111000000-4-400000000000040000000000000011-1-1000000000
χ574444-2-4-4-2-2-24004442200004444-2-4-4-2-2-20000222200000000-4-4-2-2-2-2000000002200000000000000000000000000000000
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χ6244-4-4-2002-224004-4-400−i6i6i6−i6-444-4-2002-2200000000−i6−i6i6i6i6i6−i6−i6002-2-220000000000i6−i6−i6i60000000000000000000000000000
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χ928-8-888008-8-8-2−424222-200−4242−42420000-200-22222−2−2000022−2−222−2−2000000000000000000000000000000000000000000000000
χ938-8-88-400-444-242−4222-200−2222−222200001001-1-1−2−222−151515−15−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101000000000000000000000000000000000000000000000000
χ948-8-88-400-444-242−4222-200−2222−222200001001-1-1−2−22215−15−1515ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119000000000000000000000000000000000000000000000000
χ958-8-88-400-444-2−424222-20022−2222−2200001001-1-122−2−2−151515−15ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101000000000000000000000000000000000000000000000000
χ968-8-88-400-444-2−424222-20022−2222−2200001001-1-122−2−215−15−1515−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ13−ζ23+ζ29−ζ31+ζ37−ζ47−ζ79+ζ101−ζ7+ζ53+ζ61−ζ71+ζ77−ζ103+ζ109−ζ119−ζ13+ζ23−ζ29+ζ31−ζ37+ζ47+ζ79−ζ101ζ7−ζ53−ζ61+ζ71−ζ77+ζ103−ζ109+ζ119000000000000000000000000000000000000000000000000

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