Finite Group Databasebeta

← Group #14278897

Character table — Group #14278897

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222244444444444558888888888888888888888101010101010101010202020202020202424404040404040404040404040484848486060606060606060120120
order1223446881212568101010122424242422152020303030404040406060606012012012012012012012012024466881212681224242424448888242424242424242420202020161616161616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iiiii−i−i−i−i1111iiii−i−i−i−i-1-1
χ61111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−i−i−iiiii1111−i−i−i−iiiii-1-1
χ71111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1−i−i−i−iiiii11
χ81111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i11
χ911-11-11111-1-11-1-11-1-1111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-1i−ii−ii−iii−i−iii−i−iii−i−i11-1-111-1-1i−i
χ1011-11-11111-1-11-1-11-1-1111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-1i−i−ii−ii−i−iii−i−iiiii−i−i-1-111-1-111i−i
χ1111-11-11111-1-11-1-11-1-1111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-1−iii−ii−iii−i−iii−i−i−i−iii-1-111-1-111−ii
χ1211-11-11111-1-11-1-11-1-1111-1-1111-11-1-1111-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-1111-1-1−ii−ii−ii−i−iii−i−iii−i−iii11-1-111-1-1−ii
χ1311-11-11111-1-11-1-11-1-1111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-111i−i1-1-1111-1-1-1-111ii−i−i−i−iiiii−i−i−ii
χ1411-11-11111-1-11-1-11-1-1111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-111i−i-111-1-1-11111-1-1ii−i−iii−i−i−i−iii−ii
χ1511-11-11111-1-11-1-11-1-1111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-111−ii1-1-1111-1-1-1-111−i−iiiii−i−i−i−iiii−i
χ1611-11-11111-1-11-1-11-1-1111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11-11-1-1-1-11111-1-1-111−ii-111-1-1-11111-1-1−i−iii−i−iiiii−i−ii−i
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χ26222-122-122-1-12-12222-1-1-1-1-1-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111-21111100−2i−2i2i2iiiii−i−i−i−i00000000000000
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χ3322-222-2200222-202-2-2-20000-2-222-2-2-22000022-2-20000000022-2-2-200-2-220200000000000000000000002−2−22−222−200
χ3422-222-2200222-202-2-2-20000-2-222-2-2-22000022-2-20000000022-2-2-200-2-22020000000000000000000000−222−22−2−2200
χ3522-22-222-2-2-2-22-222-2-22-2-222222-22-2-22-2-222-2-222-2-2-2-22222-22-222-2-2-2-2-222-2-2220000000000000000000000000000
χ3622-22-222-2-2-2-22-222-2-22-2-222-2-22-22-2-22-2-222-2-222-2-2-2-222222-22-2-222222-2-222-2-20000000000000000000000000000
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χ4322-2-1-22-1-2-2112122-2-2-111-1-1-2-2-1-2211-1-2-22211-1-11111-1-1-1-12-221122-1-1-1-21-1-111000000−i3i3i3−i3i3−i3−i3i300000000000000
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χ888-80-40044i2−4i243−43-200225−250−2i22i22i6−2i600100−55-1−i2i2i10−i10−3315−15ζ13+ζ23+ζ29+ζ31+ζ37+ζ47+ζ79+ζ101ζ7+ζ53+ζ61+ζ71+ζ77+ζ103+ζ109+ζ119−ζ13−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−ζ119ζ13+ζ23−ζ29−ζ31+ζ37+ζ47−ζ79−ζ101−ζ7−ζ53+ζ61+ζ71−ζ77−ζ103+ζ109+ζ11900000000000000000000000000000000000000000000
χ898-80-40044i2−4i2−4343-2002−25250−2i22i2−2i62i6001005−5-1−i2i2−i10i103−315−15ζ13+ζ23+ζ29+ζ31+ζ37+ζ47+ζ79+ζ101ζ7+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−ζ7−ζ53+ζ61+ζ71−ζ77−ζ103+ζ109+ζ119−ζ13−ζ23+ζ29+ζ31−ζ37−ζ47+ζ79+ζ101ζ7+ζ53−ζ61−ζ71+ζ77+ζ103−ζ109−ζ11900000000000000000000000000000000000000000000
χ908-80-40044i2−4i2−4343-200225−250−2i22i2−2i62i600100−55-1−i2i2i10−i103−3−1515ζ7+ζ53+ζ61+ζ71+ζ77+ζ103+ζ109+ζ119ζ13+ζ23+ζ29+ζ31+ζ37+ζ47+ζ79+ζ101−ζ7−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−ζ101ζ7+ζ53−ζ61−ζ71+ζ77+ζ103−ζ109−ζ119−ζ13−ζ23+ζ29+ζ31−ζ37−ζ47+ζ79+ζ10100000000000000000000000000000000000000000000

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