Finite Group Databasebeta

← Group #14305214

Character table — Group #14305214

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222244444444445555888888888888888888888810101010101010101010202020202020202020202020202020202020202020202020202020202020242448484848120120120120120120
order122234466612121212588101010242424242222152020303030404040406060606012012012012012012012012044666612121212444488888812121212121212122424242424242424242424244420202020444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1i−ii−i-1-1ii−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111111-1-1ii−i−i
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1i−ii−i-1-1ii−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111−i−iii
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1−ii−ii-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111111-1-1−i−iii
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1−ii−ii-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111ii−i−i
χ9111111111111111-1-1111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11-11-1
χ10111111111111111-1-1111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-11-11
χ11111111111111111-1-1111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-1-11-11
χ12111111111111111-1-1111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-111-11-1
χ13111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i11−i−iiiiiii−i−i−i−i1111−i−i−i−iiiii1-111-1-1-11i−i−ii
χ14111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i11−i−iiiiiii−i−i−i−i1111−i−i−i−iiiii-11-1-1111-1−iii−i
χ15111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii11ii−i−i−i−i−i−iiiii1111iiii−i−i−i−i1-111-1-1-11−iii−i
χ16111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii11ii−i−i−i−i−i−iiiii1111iiii−i−i−i−i-11-1-1111-1i−i−ii
χ1722222-2-2222-2-2-2-2200222000022222-2-22220000-2-2-2-200000000-2-22222-2-2-2-222-2-200000022-2-222-2-2000000000000000000000000
χ1822222-2-2222-2-2-2-2200222000022222-2-22220000-2-2-2-200000000-2-22222-2-2-2-2-2-222000000-2-222-2-222000000000000000000000000
χ1922222-2-2222-2-2-2-22002220000-2-2-2-22-2-22220000-2-2-2-20000000022-2-2-2-222222i−2i−2i2i0000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ2022222-2-2222-2-2-2-22002220000-2-2-2-22-2-22220000-2-2-2-20000000022-2-2-2-22222−2i2i2i−2i000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ212222-122-1-1-1-1-1-1-1222222-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ222222-122-1-1-1-1-1-1-1222222-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-211111111-1-1-1-111111111000000000000
χ232222-122-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111112i−2i2i−2i-2-22i2i−2i−2i−i−i−i−iiiii1111−i−i−i−iiiii000000000000
χ242222-122-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111−2i2i−2i2i-2-2−2i−2i2i2iiiii−i−i−i−i1111iiii−i−i−i−i000000000000
χ252222-122-1-1-1-1-1-1-12-2-222211112222-122-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000
χ262222-122-1-1-1-1-1-1-12-2-222211112222-122-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-2-2-22222111111111111-1-1-1-1-1-1-1-1000000000000
χ272222-122-1-1-1-1-1-1-12-2-22221111-2-2-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-2111111112i−2i2i−2i22−2i−2i2i2i−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i000000000000
χ282222-122-1-1-1-1-1-1-12-2-22221111-2-2-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-211111111−2i2i−2i2i222i2i−2i−2iiiii−i−i−i−i-1-1-1-1−i−i−i−iiiii000000000000
χ292222-1-2-2-1-1-1111120022233−3−32222-1-2-2-1-1-1000011113333−3−3−3−3-2-2-1-1-1-1111122-2-2000000-1-111-1-11133−3−333−3−333−3−3000000000000
χ302222-1-2-2-1-1-1111120022233−3−32222-1-2-2-1-1-1000011113333−3−3−3−3-2-2-1-1-1-11111-2-22200000011-1-111-1-133−3−3−3−333−3−333000000000000
χ312222-1-2-2-1-1-1111120022233−3−3-2-2-2-2-1-2-2-1-1-1000011113333−3−3−3−3221111-1-1-1-12i−2i−2i2i000000−i−iiiii−i−i−3−333i3i3−i3−i3−i3−i3i3i3000000000000
χ322222-1-2-2-1-1-1111120022233−3−3-2-2-2-2-1-2-2-1-1-1000011113333−3−3−3−3221111-1-1-1-1−2i2i2i−2i000000ii−i−i−i−iii−3−333−i3−i3i3i3i3i3−i3−i3000000000000
χ332222-1-2-2-1-1-11111200222−3−3332222-1-2-2-1-1-100001111−3−3−3−33333-2-2-1-1-1-1111122-2-2000000-1-111-1-111−3−333−3−333−3−333000000000000
χ342222-1-2-2-1-1-11111200222−3−3332222-1-2-2-1-1-100001111−3−3−3−33333-2-2-1-1-1-11111-2-22200000011-1-111-1-1−3−33333−3−333−3−3000000000000
χ352222-1-2-2-1-1-11111200222−3−333-2-2-2-2-1-2-2-1-1-100001111−3−3−3−33333221111-1-1-1-12i−2i−2i2i000000−i−iiiii−i−i33−3−3−i3−i3i3i3i3i3−i3−i3000000000000
χ362222-1-2-2-1-1-11111200222−3−333-2-2-2-2-1-2-2-1-1-100001111−3−3−3−33333221111-1-1-1-1−2i2i2i−2i000000ii−i−i−i−iii33−3−3i3i3−i3−i3−i3−i3i3i3000000000000
χ3722-2-222-2-2-2222-2-22002-2-2000022-2-222-2-2-22000022-2-200000000-2222-2-2-2-2220000002-22-20000000000002-22-22-22-2000000000000
χ3822-2-222-2-2-2222-2-22002-2-2000022-2-222-2-2-22000022-2-200000000-2222-2-2-2-222000000-22-22000000000000-22-22-22-22000000000000
χ3922-2-222-2-2-2222-2-22002-2-20000-2-22222-2-2-22000022-2-2000000002-2-2-22222-2-20000002i−2i−2i2i0000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ4022-2-222-2-2-2222-2-22002-2-20000-2-22222-2-2-22000022-2-2000000002-2-2-22222-2-2000000−2i2i2i−2i000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ4122-2-22-22-2-22-2-22222-22-2-22-22-222-2-22-22-2-2222-2-2-2-22222-2-222-2-22-222-2-222-2-200002-20000000000002-22-200000000000000000000
χ4222-2-22-22-2-22-2-22222-22-2-22-22-2-2-2222-22-2-2222-2-2-2-22222-2-222-2-2-22-2-222-2-2220000-22000000000000-22-2200000000000000000000
χ4322-2-22-22-2-22-2-2222-222-2-2-22-2222-2-22-22-2-22-2-222-2-222-2-222-2-2222-222-2-222-2-20000-22000000000000-22-2200000000000000000000
χ4422-2-22-22-2-22-2-2222-222-2-2-22-22-2-2222-22-2-22-2-222-2-222-2-222-2-222-22-2-222-2-22200002-20000000000002-22-200000000000000000000
χ4522-2-2-12-211-1-1-1112002-2-23−3−3322-2-2-12-211-10000-1-11133−3−3−3−333-22-1-11111-1-10000002-22-23−33−33−33−33−3−33-11-11-11-11000000000000
χ4622-2-2-12-211-1-1-1112002-2-23−3−3322-2-2-12-211-10000-1-11133−3−3−3−333-22-1-11111-1-1000000-22-22−33−33−33−333−3−331-11-11-11-1000000000000
χ4722-2-2-12-211-1-1-1112002-2-23−3−33-2-222-12-211-10000-1-11133−3−3−3−3332-211-1-1-1-1110000002i−2i−2i2ii3−i3i3−i3−i3i3−i3i3−333−3−ii−iii−ii−i000000000000
χ4822-2-2-12-211-1-1-1112002-2-23−3−33-2-222-12-211-10000-1-11133−3−3−3−3332-211-1-1-1-111000000−2i2i2i−2i−i3i3−i3i3i3−i3i3−i3−333−3i−ii−i−ii−ii000000000000
χ4922-2-2-12-211-1-1-1112002-2-2−333−322-2-2-12-211-10000-1-111−3−33333−3−3-22-1-11111-1-10000002-22-2−33−33−33−33−333−3-11-11-11-11000000000000
χ5022-2-2-12-211-1-1-1112002-2-2−333−322-2-2-12-211-10000-1-111−3−33333−3−3-22-1-11111-1-1000000-22-223−33−33−33−3−333−31-11-11-11-1000000000000
χ5122-2-2-12-211-1-1-1112002-2-2−333−3-2-222-12-211-10000-1-111−3−33333−3−32-211-1-1-1-1110000002i−2i−2i2i−i3i3−i3i3i3−i3i3−i33−3−33−ii−iii−ii−i000000000000
χ5222-2-2-12-211-1-1-1112002-2-2−333−3-2-222-12-211-10000-1-111−3−33333−3−32-211-1-1-1-111000000−2i2i2i−2ii3−i3i3−i3−i3i3−i3i33−3−33i−ii−i−ii−ii000000000000
χ5322-2-2-1-2211-111-1-122-22-2-2-11-1122-2-2-1-2211-122-2-211-1-1-1-111-1-1112-2-1-111-1-11100002-200003−3−333−3−33-11-11−333−3−333−3000000000000
χ5422-2-2-1-2211-111-1-122-22-2-2-11-1122-2-2-1-2211-122-2-211-1-1-1-111-1-1112-2-1-111-1-11100002-20000−333−3−333−3-11-113−3−333−3−33000000000000
χ5522-2-2-1-2211-111-1-122-22-2-2-11-11-2-222-1-2211-122-2-211-1-1-1-111-1-111-2211-1-111-1-10000-220000−i3i3i3−i3i3−i3−i3i31-11-1i3−i3−i3i3−i3i3i3−i3000000000000
χ5622-2-2-1-2211-111-1-122-22-2-2-11-11-2-222-1-2211-122-2-211-1-1-1-111-1-111-2211-1-111-1-10000-220000i3−i3−i3i3−i3i3i3−i31-11-1−i3i3i3−i3i3−i3−i3i3000000000000
χ5722-2-2-1-2211-111-1-12-222-2-21-11-122-2-2-1-2211-1-2-22211-1-111-1-111-1-12-2-1-111-1-1110000-2200003−3−333−3−331-11-13−3−333−3−33000000000000
χ5822-2-2-1-2211-111-1-12-222-2-21-11-122-2-2-1-2211-1-2-22211-1-111-1-111-1-12-2-1-111-1-1110000-220000−333−3−333−31-11-1−333−3−333−3000000000000
χ5922-2-2-1-2211-111-1-12-222-2-21-11-1-2-222-1-2211-1-2-22211-1-111-1-111-1-1-2211-1-111-1-100002-20000−i3i3i3−i3i3−i3−i3i3-11-11−i3i3i3−i3i3−i3−i3i3000000000000
χ6022-2-2-1-2211-111-1-12-222-2-21-11-1-2-222-1-2211-1-2-22211-1-111-1-111-1-1-2211-1-111-1-100002-20000i3−i3−i3i3−i3i3i3−i3-11-11i3−i3−i3i3−i3i3i3−i3000000000000
χ6144444444444444-144-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000044-1-1-1-1000000
χ6244444444444444-144-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000-4-41111000000
χ6344444444444444-1-4-4-1-1-1-4-4-4-40000-1-1-1-1-1-11111-1-1-1-11111111100000000000000000000000000000000000000004-4-1-111000000
χ6444444444444444-1-4-4-1-1-1-4-4-4-40000-1-1-1-1-1-11111-1-1-1-1111111110000000000000000000000000000000000000000-4411-1-1000000
χ6544-4-44-44-4-44-4-444-14-4-1114-44-40000-11-111-1-1-11111-1-1-1-111-1-111000000000000000000000000000000000000000000−i5i5−i5i5000000
χ6644-4-44-44-4-44-4-444-14-4-1114-44-40000-11-111-1-1-11111-1-1-1-111-1-111000000000000000000000000000000000000000000i5−i5i5−i5000000
χ6744-4-44-44-4-44-4-444-1-44-111-44-440000-11-111-111-1-111-1-111-1-111-1-1000000000000000000000000000000000000000000−i5i5i5−i5000000
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χ918-88-88008-8-80000-2002-2200000000-200-222i10−i10i10−i100000i10−i10i10−i10i10−i10i10−i100000000000000000000000000000000000000000000000000000
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χ938-88-8-400-44443−4343−43-2002-22000000001001-1-1i10−i10i10−i10−33−33−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ1190000000000000000000000000000000000000000000000000000
χ948-88-8-400-44443−4343−43-2002-22000000001001-1-1−i10i10−i10i10−33−33ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ1190000000000000000000000000000000000000000000000000000
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χ968-88-8-400-444−4343−4343-2002-22000000001001-1-1−i10i10−i10i103−33−3ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ1030000000000000000000000000000000000000000000000000000
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χ998-8-88-4004-4443−43−4343-20022-200000000100-11-1i10−i10−i10i10−333−3−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ1030000000000000000000000000000000000000000000000000000
χ1008-8-88-4004-4443−43−4343-20022-200000000100-11-1−i10i10i10−i10−333−3ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ1030000000000000000000000000000000000000000000000000000
χ1018-8-88-4004-44−434343−43-20022-200000000100-11-1i10−i10−i10i103−3−33−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ1190000000000000000000000000000000000000000000000000000
χ1028-8-88-4004-44−434343−43-20022-200000000100-11-1−i10i10i10−i103−3−33ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103−ζ7+ζ29+ζ31−ζ53−ζ77+ζ79+ζ101−ζ103ζ7−ζ29−ζ31+ζ53+ζ77−ζ79−ζ101+ζ103ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47+ζ61+ζ71+ζ109+ζ119ζ13+ζ23+ζ37+ζ47−ζ61−ζ71−ζ109−ζ1190000000000000000000000000000000000000000000000000000

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