Finite Group Databasebeta

← Group #14298933

Character table — Group #14298933

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444444444444555588888888888888888888101010101010121212122020202020202020242424242424242440404040404040404040404060606060120120120120
order12223446665881010101212202020202424242444441530303040404040606060601201201201201201201201202212121212448866882424242420202020404040408888242424242424242444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii
χ811111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i
χ911111111111-1-1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ1011111111111-1-1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-11-11
χ1111111111111-1-1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-11-11
χ1211111111111-1-1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1111-11-1
χ1311111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111i−i−ii
χ1411111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−iii−i
χ1511111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−iii−i
χ1611111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1i−i−ii
χ1722222-2-2222200222-2-2-2-2-2-20000222222220000-2-2-2-200000000-2-222222-200-2-200000022-2-200000000000000002-2000000
χ1822222-2-2222200222-2-2-2-2-2-20000222222220000-2-2-2-200000000-2-22222-2200-2-2000000-2-2220000000000000000-22000000
χ1922222-2-2222200222-2-2-2-2-2-20000-2-2-2-222220000-2-2-2-20000000022-2-2-2-22-2002200000022-2-20000000000000000-22000000
χ2022222-2-2222200222-2-2-2-2-2-20000-2-2-2-222220000-2-2-2-20000000022-2-2-2-2-220022000000-2-22200000000000000002-2000000
χ212222-122-1-1-1222222-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000
χ222222-122-1-1-1222222-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-122-1-1-1-100000000-2-2-2-21111111100000000
χ232222-122-1-1-1222222-1-12222-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000011-2-21111000000002i2i−2i−2i−i−i−i−iiiii00000000
χ242222-122-1-1-1222222-1-12222-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000011-2-2111100000000−2i−2i2i2iiiii−i−i−i−i00000000
χ252222-122-1-1-12-2-2222-1-1222211112222-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-10000-1-1-2-21111000000002-22-2-1-111-1-11100000000
χ262222-122-1-1-12-2-2222-1-1222211112222-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-10000-1-1-2-2111100000000-22-2211-1-111-1-100000000
χ272222-122-1-1-12-2-2222-1-122221111-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2111100001122-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i00000000
χ282222-122-1-1-12-2-2222-1-122221111-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2111100001122-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii00000000
χ2922-2-222-2-2-222002-2-2-2222-2-2000022-2-22-2-220000-2-222000000002-222-2-2002i−2i2-200000000002i2i−2i−2i000000000000002i−2i0000
χ3022-2-222-2-2-222002-2-2-2222-2-2000022-2-22-2-220000-2-222000000002-222-2-200−2i2i2-20000000000−2i−2i2i2i00000000000000−2i2i0000
χ3122-2-222-2-2-222002-2-2-2222-2-20000-2-2222-2-220000-2-22200000000-22-2-222002i−2i-2200000000002i2i−2i−2i00000000000000−2i2i0000
χ3222-2-222-2-2-222002-2-2-2222-2-20000-2-2222-2-220000-2-22200000000-22-2-22200−2i2i-220000000000−2i−2i2i2i000000000000002i−2i0000
χ3322-2-22-22-2-2222i−2i2-2-22-2-2-2222i2i−2i−2i22-2-22-2-222i2i−2i−2i22-2-22i2i2i2i−2i−2i−2i−2i-2222-2-20000-222i−2i2i2i−2i−2i0000000000000000000000000000
χ3422-2-22-22-2-2222i−2i2-2-22-2-2-2222i2i−2i−2i-2-2222-2-222i2i−2i−2i22-2-22i2i2i2i−2i−2i−2i−2i2-2-2-22200002-2−2i2i−2i−2i2i2i0000000000000000000000000000
χ3522-2-22-22-2-222−2i2i2-2-22-2-2-222−2i−2i2i2i22-2-22-2-22−2i−2i2i2i22-2-2−2i−2i−2i−2i2i2i2i2i-2222-2-20000-22−2i2i−2i−2i2i2i0000000000000000000000000000
χ3622-2-22-22-2-222−2i2i2-2-22-2-2-222−2i−2i2i2i-2-2222-2-22−2i−2i2i2i22-2-2−2i−2i−2i−2i2i2i2i2i2-2-2-22200002-22i−2i2i2i−2i−2i0000000000000000000000000000
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χ3922-2-2-1-2211-122i−2i2-2-2-11-2-222−i−iii-2-222-111-12i2i−2i−2i-1-111−i−i−i−iiiii2-211-1-10000-11−2i2iii−i−i0000000000003−3i3−i3−33−i3i300000000
χ4022-2-2-1-2211-122i−2i2-2-2-11-2-222−i−iii-2-222-111-12i2i−2i−2i-1-111−i−i−i−iiiii2-211-1-10000-11−2i2iii−i−i000000000000−33−i3i33−3i3−i300000000
χ4122-2-2-1-2211-12−2i2i2-2-2-11-2-222ii−i−i22-2-2-111-1−2i−2i2i2i-1-111iiii−i−i−i−i-22-1-11100001-1−2i2iii−i−i000000000000−i3i3−33−i3i3−3300000000
χ4222-2-2-1-2211-12−2i2i2-2-2-11-2-222ii−i−i22-2-2-111-1−2i−2i2i2i-1-111iiii−i−i−i−i-22-1-11100001-1−2i2iii−i−i000000000000i3−i33−3i3−i33−300000000
χ4322-2-2-1-2211-12−2i2i2-2-2-11-2-222ii−i−i-2-222-111-1−2i−2i2i2i-1-111iiii−i−i−i−i2-211-1-10000-112i−2i−i−iii0000000000003−3−i3i3−33i3−i300000000
χ4422-2-2-1-2211-12−2i2i2-2-2-11-2-222ii−i−i-2-222-111-1−2i−2i2i2i-1-111iiii−i−i−i−i2-211-1-10000-112i−2i−i−iii000000000000−33i3−i33−3−i3i300000000
χ454444444444-144-1-1-144-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000444400000000-1-1-1-1-1-1-1-100000000000000000000
χ464444444444-144-1-1-144-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-4-4-4-4000000001111111100000000000000000000
χ474444444444-1-4-4-1-1-144-1-1-1-1-4-4-4-40000-1-1-1-11111-1-1-1-11111111100000044-4-400000000-1-1-1-1111100000000000000000000
χ484444444444-1-4-4-1-1-144-1-1-1-1-4-4-4-40000-1-1-1-11111-1-1-1-111111111000000-4-444000000001111-1-1-1-100000000000000000000
χ4944444-4-4444-100-1-1-1-4-4111100000000-1-1-1-1−i5i5−i5i51111−i5−i5i5i5−i5−i5i5i50000004-40000000000-1-111−i5i5−i5i500000000000000000000
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χ5244444-4-4444-100-1-1-1-4-4111100000000-1-1-1-1i5−i5i5−i51111i5i5−i5−i5i5i5−i5−i5000000-44000000000011-1-1−i5i5−i5i500000000000000000000
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χ5644-4-444-4-4-44-100-111-44-1-11100000000-111-1−555−511-1-1−5−55555−5−500000000−4i4i00000000i5−i5i5−i5ii−i−i00000000000000000000
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χ5844-4-444-4-4-44-100-111-44-1-11100000000-111-15−5−5511-1-155−5−5−5−55500000000−4i4i00000000−i5i5−i5i5ii−i−i00000000000000000000
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χ898-88-8-400-444-2002-22002i5−2i52i5−2i5−2i62i6−2i62i6000011-1-10000−i5i5−i5i5−ζ7+ζ23−ζ29+ζ47+ζ61−ζ101−ζ103+ζ109ζ7−ζ23+ζ29−ζ47−ζ61+ζ101+ζ103−ζ109ζ13−ζ31+ζ37−ζ53+ζ71−ζ77−ζ79+ζ119−ζ13+ζ31−ζ37+ζ53−ζ71+ζ77+ζ79−ζ119−ζ7+ζ23−ζ29+ζ47+ζ61−ζ101−ζ103+ζ109ζ7−ζ23+ζ29−ζ47−ζ61+ζ101+ζ103−ζ109ζ13−ζ31+ζ37−ζ53+ζ71−ζ77−ζ79+ζ119−ζ13+ζ31−ζ37+ζ53−ζ71+ζ77+ζ79−ζ1190000000000000000000000000000000000000000000000
χ908-88-8-400-444-2002-22002i5−2i52i5−2i52i6−2i62i6−2i6000011-1-10000−i5i5−i5i5ζ7−ζ23+ζ29−ζ47−ζ61+ζ101+ζ103−ζ109−ζ7+ζ23−ζ29+ζ47+ζ61−ζ101−ζ103+ζ109−ζ13+ζ31−ζ37+ζ53−ζ71+ζ77+ζ79−ζ119ζ13−ζ31+ζ37−ζ53+ζ71−ζ77−ζ79+ζ119ζ7−ζ23+ζ29−ζ47−ζ61+ζ101+ζ103−ζ109−ζ7+ζ23−ζ29+ζ47+ζ61−ζ101−ζ103+ζ109−ζ13+ζ31−ζ37+ζ53−ζ71+ζ77+ζ79−ζ119ζ13−ζ31+ζ37−ζ53+ζ71−ζ77−ζ79+ζ1190000000000000000000000000000000000000000000000
χ918-8-88800-88-8-20022-200−2i52i52i5−2i500000000-22-2200002i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000
χ928-8-88800-88-8-20022-2002i5−2i5−2i52i500000000-22-220000−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000
χ938-8-88-4004-44-20022-200−2i52i52i5−2i526−26−262600001-11-10000−i5i5i5−i5−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ119ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ119−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ109ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ109ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ119−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ119ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ109−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ1090000000000000000000000000000000000000000000000
χ948-8-88-4004-44-20022-200−2i52i52i5−2i5−262626−2600001-11-10000−i5i5i5−i5ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ119−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ119ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ109−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ109−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ119ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ119−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ109ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ1090000000000000000000000000000000000000000000000
χ958-8-88-4004-44-20022-2002i5−2i5−2i52i526−26−262600001-11-10000i5−i5−i5i5−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ109ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ109−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ119ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ119ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ109−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ109ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ119−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ1190000000000000000000000000000000000000000000000
χ968-8-88-4004-44-20022-2002i5−2i5−2i52i5−262626−2600001-11-10000i5−i5−i5i5ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ109−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ109ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ119−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ119−ζ7+ζ23+ζ29+ζ47−ζ61+ζ101−ζ103−ζ109ζ7−ζ23−ζ29−ζ47+ζ61−ζ101+ζ103+ζ109−ζ13−ζ31−ζ37+ζ53+ζ71+ζ77−ζ79+ζ119ζ13+ζ31+ζ37−ζ53−ζ71−ζ77+ζ79−ζ1190000000000000000000000000000000000000000000000

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