Finite Group Databasebeta

← Group #14284569

Character table — Group #14284569

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order1222344446661212121245101010121212122222152020202020203030306060606060606060606060604444666612121212488888888121212122424242424242424242424242424242444202020208888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111iiii−i−i−i−i-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1−i−i−i−iiiii11
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111−i−i−i−iiiii-1-1
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1iiii−i−i−i−i11
χ911111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−iii−i−i1-1
χ1011111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii−i−iii-11
χ1111111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii−i−iii1-1
χ1211111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−iii−i−i-11
χ1311111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ1411111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ1511111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ1611111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ172222222-2-22222222-22222-2-2-2-222222-2-222-2-2222-2-2-2-22222-2-2-2-22-22-222222222-200000000-2-2-2-200000000000000000000000000000000
χ182222222-2-22222222-22222-2-2-2-2-2-2-2-22-2-222-2-2222-2-2-2-22222-2-2-2-2-22-22-2-2-2-2-2-2-2-2200000000222200000000000000000000000000000000
χ1922222-2-222222-2-2-2-2-22222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-22222-22-222222-2-2-2-2-200000000-2-22200000000000000000000000000000000
χ2022222-2-222222-2-2-2-2-22222-2-222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-222222-22-2-2-2-2-2222220000000022-2-200000000000000000000000000000000
χ212222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ232222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ242222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ252222-122-2-2-1-1-1-1-1-1-1-2222211112222-1-2-222-2-2-1-1-11111-1-1-1-111112-22-2-1-1-1-1-1-1-1-1-2000000001111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ262222-122-2-2-1-1-1-1-1-1-1-2222211112222-1-2-222-2-2-1-1-11111-1-1-1-111112-22-2-1-1-1-1-1-1-1-1-2000000001111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ272222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-11111-22-2211111111200000000-1-1-1-133−3−333−3−3−3−333−3−3330000000000000000
χ282222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-11111-22-2211111111200000000-1-1-1-1−3−333−3−33333−3−333−3−30000000000000000
χ292222-1-2-222-1-1-11111-2222211-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-1-22-22-1-1-1-11111-20000000011-1-133−3−3−3−33333−3−3−3−3330000000000000000
χ302222-1-2-222-1-1-11111-2222211-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-1-22-22-1-1-1-11111-20000000011-1-1−3−33333−3−3−3−33333−3−30000000000000000
χ312222-1-2-222-1-1-11111-2222211-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-12-22-21111-1-1-1-1200000000-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ322222-1-2-222-1-1-11111-2222211-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-12-22-21111-1-1-1-1200000000-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ332222-1-2-2-2-2-1-1-1111122222-1-1112222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1111122i2i−2i−2i2i2i−2i−2i-1-111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ342222-1-2-2-2-2-1-1-1111122222-1-1112222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-111112−2i−2i2i2i−2i−2i2i2i-1-111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ352222-1-2-2-2-2-1-1-1111122222-1-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111111122221111-1-1-1-1-222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-10000000000000000
χ362222-1-2-2-2-2-1-1-1111122222-1-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111111122221111-1-1-1-1-2-2-22222-2-211-1-11111-1-1-1-1-1-1-1-111110000000000000000
χ3722-2-222-2002-2-222-2-2022-2-2000022-2-22002-2002-2-2000022-2-2000020-2022-2-222-2-2000000000000000000000000000000000002−22−22−22−200
χ3822-2-222-2002-2-222-2-2022-2-2000022-2-22002-2002-2-2000022-2-2000020-2022-2-222-2-200000000000000000000000000000000000−22−22−22−2200
χ3922-2-222-2002-2-222-2-2022-2-20000-2-2222002-2002-2-2000022-2-20000-2020-2-222-2-22200000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i200
χ4022-2-222-2002-2-222-2-2022-2-20000-2-2222002-2002-2-2000022-2-20000-2020-2-222-2-22200000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i200
χ4122-2-22-22002-2-2-2-222022-2-2000022-2-2200-22002-2-20000-2-2220000-202022-2-2-2-22200000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i200
χ4222-2-22-22002-2-2-2-222022-2-2000022-2-2200-22002-2-20000-2-2220000-202022-2-2-2-22200000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i200
χ4322-2-22-22002-2-2-2-222022-2-20000-2-222200-22002-2-20000-2-222000020-20-2-22222-2-2000000000000000000000000000000000002−2−22−222−200
χ4422-2-22-22002-2-2-2-222022-2-20000-2-222200-22002-2-20000-2-222000020-20-2-22222-2-200000000000000000000000000000000000−222−22−2−2200
χ452-2-222002-2-22-2000002-2-22002-22-22-2200002-2-22-20000000022-2-2020-22-22-200000−i2i2−i2i2−i2i2−i2i2002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ462-2-222002-2-22-2000002-2-22002-22-22-2200002-2-22-20000000022-2-2020-22-22-200000i2−i2i2−i2i2−i2i2−i2002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ472-2-222002-2-22-2000002-2-22002-2-22-22200002-2-22-20000000022-2-20-202-22-22000002−22−2−22−2200-222−22−22−22−2−22−22−22−220000000000000000
χ482-2-222002-2-22-2000002-2-22002-2-22-22200002-2-22-20000000022-2-20-202-22-2200000−22−222−22−200-22−22−22−22−222−22−22−22−20000000000000000
χ492-2-22200-22-22-2000002-2-2200-222-22-220000-22-22-200000000-2-2220-2022-22-2000002−2−222−2−2200-222−22−2−22−222−22−2−22−220000000000000000
χ502-2-22200-22-22-2000002-2-2200-222-22-220000-22-22-200000000-2-2220-2022-22-200000−222−2−222−200-22−22−222−22−2−22−222−22−20000000000000000
χ512-2-22200-22-22-2000002-2-2200-22-22-2220000-22-22-200000000-2-222020-2-22-2200000−i2i2i2−i2i2−i2−i2i2002-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ522-2-22200-22-22-2000002-2-2200-22-22-2220000-22-22-200000000-2-222020-2-22-2200000i2−i2−i2i2−i2i2i2−i2002-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ532-2-22-1002-21-113−33−302-2-223−3-112-22-2-100002-21-1133−3−33−33−3-1-111020-2-11-113−33−30−i2i2−i2i2−i2i2−i2i23−3-11ζ7+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−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−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−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ1030000000000000000
χ542-2-22-1002-21-113−33−302-2-223−3-112-22-2-100002-21-1133−3−33−33−3-1-111020-2-11-113−33−30i2−i2i2−i2i2−i2i2−i23−3-11−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+ζ119−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+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ1030000000000000000
χ552-2-22-1002-21-113−33−302-2-223−3-11-22-22-100002-21-1133−3−33−33−3-1-1110-2021-11-1−33−3302−22−2−22−22−331-1ζ13−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+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−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−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ1190000000000000000
χ562-2-22-1002-21-113−33−302-2-223−3-11-22-22-100002-21-1133−3−33−33−3-1-1110-2021-11-1−33−330−22−222−22−2−331-1−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−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+ζ119−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+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ1190000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.