Finite Group Databasebeta

← Group #14282274

Character table — Group #14282274

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444455556688888888888810101010101012121212121212161616161616202020202020202020202020202020202424242424243030404040404040404060606060606060120120
order12223446664451010101212444444121215202020202020303030441212121224420202020606060606060448888121224242424242424241010202020204488121224242424224888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111-1-1ii−i−i-1-1iiii−i−i−i−i111111-1-1i−i-1-1ii−i−i-1-1-1ii−i−ii−i
χ6111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111-1-1−i−iii-1-1−i−i−i−iiiii111111-1-1−ii-1-1−i−iii-1-1-1−i−iii−ii
χ7111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1-111i−i-1-1ii−i−i111−i−iii−ii
χ8111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1-111−ii-1-1−i−iii111ii−i−ii−i
χ91111111111-1-1111111111111-1-11-1-1-1-1111111111111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1
χ101111111111-1-1111111111111-1-11-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1-1-1-111
χ111111111111-1-11111111111-1-1-1-11-1-1-1-111111111111-111-1-1-1-111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ121111111111-1-11111111111-1-1-1-11-1-1-1-111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-11111-1-1
χ131111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1-1-1-1-11-1-1111111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i11-1-1-1-1-1-1−ii11−i−iii11-1ii−i−i−ii
χ141111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1-1-1-1-11-1-1111111-1-1-1-111−i−iii-1-1−i−i−i−iiiii11-1-1-1-1-1-1i−i11ii−i−i11-1−i−iiii−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-1-1111111−ii11−i−iii-1-11−i−iiii−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111−i−iii-1-1−i−i−i−iiiii-1-1111111i−i11ii−i−i-1-11ii−i−i−ii
χ1722222-2-2222002222-2-22222220020000-2-2222-2-22222-2002222-2-20000000000-2-200000000-2-20000220000000000-2000000
χ1822222-2-2222002222-2-22222-2-20020000-2-2222-2-22222200-2-2-2-2-2-20000000000-2-200000000220000-2-200000000002000000
χ1922222-2-2222002222-2-2-2-2-2-2220020000-2-222222-2-2-2-2-2002222-2-200000000002200000000-2-20000-2-200000000002000000
χ2022222-2-2222002222-2-2-2-2-2-2-2-20020000-2-222222-2-2-2-2200-2-2-2-2-2-200000000002200000000220000220000000000-2000000
χ212222-122-1-1-1222222-1-1222200-1-1-1222222-1-1-122-1-1-1-10000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1000000000
χ222222-122-1-1-1222222-1-1222200-1-1-1222222-1-1-122-1-1-1-10000000-1-1-1-1-1-122-2-2-2-2-1-11111111100000000-2-2-1-11111000000000
χ232222-122-1-1-1222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-211110000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii000000002i−2i11−i−iii000000000
χ242222-122-1-1-1222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-211110000000-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i00000000−2i2i11ii−i−i000000000
χ252222-122-1-1-1-2-22222-1-122220011-1-2-2-2-222-1-1-122-1-1-1-10000000-1-11111-2-22222-1-1-1-1-1-1-1-1-1-100000000-2-2111111000000000
χ262222-122-1-1-1-2-22222-1-122220011-1-2-2-2-222-1-1-122-1-1-1-10000000-1-11111-2-2-2-2-2-2-1-111111111000000002211-1-1-1-1000000000
χ272222-122-1-1-1-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-211110000000-1-11111222i2i−2i−2i11−i−i−i−iiiii00000000−2i2i-1-1ii−i−i000000000
χ282222-122-1-1-1-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-211110000000-1-1111122−2i−2i2i2i11iiii−i−i−i−i000000002i−2i-1-1−i−iii000000000
χ2922-2-222-2-2-22002-22-22-22i−2i2i−2i0000200002-2-22-22i−2i2i−2i2i−2i02i−2i00002-200000000002i−2i00000000002i2i−2i−2i00000000002-20000000
χ3022-2-222-2-2-22002-22-22-22i−2i2i−2i0000200002-2-22-22i−2i2i−2i2i−2i0−2i2i00002-200000000002i−2i0000000000−2i−2i2i2i0000000000-220000000
χ3122-2-222-2-2-22002-22-22-2−2i2i−2i2i0000200002-2-22-2−2i2i−2i2i−2i2i02i−2i00002-20000000000−2i2i00000000002i2i−2i−2i0000000000-220000000
χ3222-2-222-2-2-22002-22-22-2−2i2i−2i2i0000200002-2-22-2−2i2i−2i2i−2i2i0−2i2i00002-20000000000−2i2i0000000000−2i−2i2i2i00000000002-20000000
χ3322-2-22-22-2-222i−2i2-22-2-222i−2i2i−2i002i−2i22i2i−2i−2i-22-22-2−2i2i2i−2i2i−2i0000000-222i2i−2i−2i2-20000−2i2i0000000000000000002-20000000000000
χ3422-2-22-22-2-222i−2i2-22-2-22−2i2i−2i2i002i−2i22i2i−2i−2i-22-22-22i−2i−2i2i−2i2i0000000-222i2i−2i−2i-2200002i−2i000000000000000000-220000000000000
χ3522-2-22-22-2-22−2i2i2-22-2-222i−2i2i−2i00−2i2i2−2i−2i2i2i-22-22-2−2i2i2i−2i2i−2i0000000-22−2i−2i2i2i-220000−2i2i000000000000000000-220000000000000
χ3622-2-22-22-2-22−2i2i2-22-2-22−2i2i−2i2i00−2i2i2−2i−2i2i2i-22-22-22i−2i−2i2i−2i2i0000000-22−2i−2i2i2i2-200002i−2i0000000000000000002-20000000000000
χ3722-2-2-1-2211-12i−2i2-22-21-12i−2i2i−2i00−ii-12i2i−2i−2i-221-11−2i2i−ii−ii00000001-1−i−iii2-20000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ1190000000000-11ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000000
χ3822-2-2-1-2211-12i−2i2-22-21-12i−2i2i−2i00−ii-12i2i−2i−2i-221-11−2i2i−ii−ii00000001-1−i−iii2-20000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ1190000000000-11−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000000
χ3922-2-2-1-2211-12i−2i2-22-21-1−2i2i−2i2i00−ii-12i2i−2i−2i-221-112i−2ii−ii−i00000001-1−i−iii-220000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000001-1−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000
χ4022-2-2-1-2211-12i−2i2-22-21-1−2i2i−2i2i00−ii-12i2i−2i−2i-221-112i−2ii−ii−i00000001-1−i−iii-220000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000001-1ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000000
χ4122-2-2-1-2211-1−2i2i2-22-21-12i−2i2i−2i00i−i-1−2i−2i2i2i-221-11−2i2i−ii−ii00000001-1ii−i−i-220000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000001-1−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000000
χ4222-2-2-1-2211-1−2i2i2-22-21-12i−2i2i−2i00i−i-1−2i−2i2i2i-221-11−2i2i−ii−ii00000001-1ii−i−i-220000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000001-1ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000000
χ4322-2-2-1-2211-1−2i2i2-22-21-1−2i2i−2i2i00i−i-1−2i−2i2i2i-221-112i−2ii−ii−i00000001-1ii−i−i2-20000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ1090000000000-11ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000000
χ4422-2-2-1-2211-1−2i2i2-22-21-1−2i2i−2i2i00i−i-1−2i−2i2i2i-221-112i−2ii−ii−i00000001-1ii−i−i2-20000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ1090000000000-11−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000
χ452-22-2200-22-20022-2-2002i−2i−2i2i2i−2i002000000-2-22002i−2i−2i2i0002i2i−2i−2i000000001−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000002-2000000000001+i−1−i1−i−1+i00
χ462-22-2200-22-20022-2-2002i−2i−2i2i2i−2i002000000-2-22002i−2i−2i2i0002i2i−2i−2i00000000−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000002-200000000000−1−i1+i−1+i1−i00
χ472-22-2200-22-20022-2-2002i−2i−2i2i−2i2i002000000-2-22002i−2i−2i2i000−2i−2i2i2i000000001−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000-2200000000000−1−i1+i−1+i1−i00
χ482-22-2200-22-20022-2-2002i−2i−2i2i−2i2i002000000-2-22002i−2i−2i2i000−2i−2i2i2i00000000−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000-22000000000001+i−1−i1−i−1+i00
χ492-22-2200-22-20022-2-200−2i2i2i−2i2i−2i002000000-2-2200−2i2i2i−2i0002i2i−2i−2i000000001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000-2200000000000−1+i1−i−1−i1+i00
χ502-22-2200-22-20022-2-200−2i2i2i−2i2i−2i002000000-2-2200−2i2i2i−2i0002i2i−2i−2i00000000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000-22000000000001−i−1+i1+i−1−i00
χ512-22-2200-22-20022-2-200−2i2i2i−2i−2i2i002000000-2-2200−2i2i2i−2i000−2i−2i2i2i000000001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000002-2000000000001−i−1+i1+i−1−i00
χ522-22-2200-22-20022-2-200−2i2i2i−2i−2i2i002000000-2-2200−2i2i2i−2i000−2i−2i2i2i00000000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000002-200000000000−1+i1−i−1−i1+i00
χ53444444444444-1-1-1-14400004444-1-1-1-1-1-1-1-1-1-1000000444-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-10000000000000000000
χ54444444444444-1-1-1-1440000-4-444-1-1-1-1-1-1-1-1-1-1000000-4-4-41111-1-1-1-1-1-100000000000000001111110000000000000000000
χ554444444444-4-4-1-1-1-144000044-4-4-11111-1-1-1-1-10000004-4-4-1-1-1-1-1-111110000000000000000-1-111110000000000000000000
χ564444444444-4-4-1-1-1-1440000-4-4-4-4-11111-1-1-1-1-1000000-4441111-1-11111000000000000000011-1-1-1-10000000000000000000
χ5744444-4-444400-1-1-1-1-4-400004400-1−55−5511-1-1-1000000-400-1-1-1-111−55−55000000000000000011−55−550000000000000000000
χ5844444-4-444400-1-1-1-1-4-400004400-15−55−511-1-1-1000000-400-1-1-1-1115−55−50000000000000000115−55−50000000000000000000
χ5944444-4-444400-1-1-1-1-4-40000-4-400-1−55−5511-1-1-1000000400111111−55−550000000000000000-1-15−55−50000000000000000000
χ6044444-4-444400-1-1-1-1-4-40000-4-400-15−55−511-1-1-10000004001111115−55−50000000000000000-1-1−55−550000000000000000000
χ614444-2-4-4-2-2-20044442244440000-20000-4-4-2-2-2-4-4-2-2-2-2000000022000000000022000000000000000000000000000000000
χ624444-2-4-4-2-2-200444422-4-4-4-40000-20000-4-4-2-2-24422220000000220000000000-2-2000000000000000000000000000000000
χ6344-4-444-4-4-4400-11-114-400000000-1−i5i5i5−i5-111-1100000004i−4i−55−55-11−i5i5i5−i50000000000000000−55−i−iii0000000000000000000
χ6444-4-444-4-4-4400-11-114-400000000-1−i5i5i5−i5-111-110000000−4i4i5−55−5-11−i5i5i5−i500000000000000005−5ii−i−i0000000000000000000
χ6544-4-444-4-4-4400-11-114-400000000-1i5−i5−i5i5-111-1100000004i−4i5−55−5-11i5−i5−i5i500000000000000005−5−i−iii0000000000000000000
χ6644-4-444-4-4-4400-11-114-400000000-1i5−i5−i5i5-111-110000000−4i4i−55−55-11i5−i5−i5i50000000000000000−55ii−i−i0000000000000000000
χ6744-4-44-44-4-444i−4i-11-11-440000004i−4i-1−i−iii1-11-11000000000−55−551-1−i−iii00000000000000005−5−i5i5i5−i50000000000000000000
χ6844-4-44-44-4-444i−4i-11-11-440000004i−4i-1−i−iii1-11-110000000005−55−51-1−i−iii0000000000000000−55i5−i5−i5i50000000000000000000
χ6944-4-44-44-4-44−4i4i-11-11-44000000−4i4i-1ii−i−i1-11-11000000000−55−551-1ii−i−i00000000000000005−5i5−i5−i5i50000000000000000000
χ7044-4-44-44-4-44−4i4i-11-11-44000000−4i4i-1ii−i−i1-11-110000000005−55−51-1ii−i−i0000000000000000−55−i5i5i5−i50000000000000000000
χ7144-4-4-24-422-2004-44-4-224i−4i4i−4i0000-200004-42-224i−4i−2i2i−2i2i0000000-220000000000−2i2i000000000000000000000000000000000
χ7244-4-4-24-422-2004-44-4-22−4i4i−4i4i0000-200004-42-22−4i4i2i−2i2i−2i0000000-2200000000002i−2i000000000000000000000000000000000
χ734-44-4-2002-220044-4-4004i−4i−4i4i0000-200000022-200−2i2i2i−2i0000000000000002−2i−2+2i2+2i−2−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000000000000
χ744-44-4-2002-220044-4-4004i−4i−4i4i0000-200000022-200−2i2i2i−2i000000000000000−2+2i2−2i−2−2i2+2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000000000000
χ754-44-4-2002-220044-4-400−4i4i4i−4i0000-200000022-2002i−2i−2i2i0000000000000002+2i−2−2i2−2i−2+2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000000000000
χ764-44-4-2002-220044-4-400−4i4i4i−4i0000-200000022-2002i−2i−2i2i000000000000000−2−2i2+2i−2+2i2−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000000000000
χ774-4-444004-4-4004-4-440044-4-4000040000004-4-40044-4-4000000000000000000000000000000000000000000000000000000
χ784-4-444004-4-4004-4-4400-4-444000040000004-4-400-4-444000000000000000000000000000000000000000000000000000000
χ794-4-44-200-222004-4-440044-4-40000-2000000-22200-2-222000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000
χ804-4-44-200-222004-4-440044-4-40000-2000000-22200-2-222000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000
χ814-4-44-200-222004-4-4400-4-4440000-2000000-2220022-2-20000000000000000000006−6−666−6−660000000000000000000000000
χ824-4-44-200-222004-4-4400-4-4440000-2000000-2220022-2-2000000000000000000000−666−6−666−60000000000000000000000000
χ838888-488-4-4-488-2-2-2-2-4-4000000-4-41-2-2-2-2-2-2111000000000000011111100000000000000000000000000000000000000000
χ848888-488-4-4-4-8-8-2-2-2-2-4-40000004412222-2-2111000000000000011-1-1-1-100000000000000000000000000000000000000000
χ858888-4-8-8-4-4-400-2-2-2-244000000001−2525−2525221110000000000000-1-15−55−500000000000000000000000000000000000000000
χ868888-4-8-8-4-4-400-2-2-2-24400000000125−2525−25221110000000000000-1-1−55−5500000000000000000000000000000000000000000
χ8788-8-8-48-844-400-22-22-44000000001−2i52i52i5−2i5-22-11-100000000000001-1i5−i5−i5i500000000000000000000000000000000000000000
χ8888-8-8-48-844-400-22-22-440000000012i5−2i5−2i52i5-22-11-100000000000001-1−i5i5i5−i500000000000000000000000000000000000000000
χ8988-8-8-4-8844-48i−8i-22-224-4000000−4i4i1−2i−2i2i2i2-2-11-10000000000000-11ii−i−i00000000000000000000000000000000000000000
χ9088-8-8-4-8844-4−8i8i-22-224-40000004i−4i12i2i−2i−2i2-2-11-10000000000000-11−i−iii00000000000000000000000000000000000000000
χ918-88-8800-88-800-2-2220000008i−8i00-200000022-2000000000−2i−2i2i2i00000000000000000000000000000000000000000000000
χ928-88-8800-88-800-2-222000000−8i8i00-200000022-20000000002i2i−2i−2i00000000000000000000000000000000000000000000000
χ938-8-888008-8-800-222-20000000000-2000000-222000000000−2i52i52i5−2i500000000000000000000000000000000000000000000000
χ948-8-888008-8-800-222-20000000000-2000000-2220000000002i5−2i5−2i52i500000000000000000000000000000000000000000000000
χ9516-1616-16-8008-8800-4-44400000000002000000-2-22000000000000000000000000000000000000000000000000000000000000
χ9616-16-1616-800-88800-444-4000000000020000002-2-2000000000000000000000000000000000000000000000000000000000000

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