Finite Group Databasebeta

← Group #14295975

Character table — Group #14295975

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444445555888888888888888888888810101010101010101010121212121515151515151515202020202020202020202020202030303030303030303030303040404040404040404848484860606060
order124423444446121256101212121212202022441015202020202030303060606060606060606060606024444466121224888888888844446888812121212128888888888881212121224242424102040402488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i-1ii−i−i-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iii-1−i−iii-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii-1−i−iii-1-1-1-1-1ii−i−iiiii−i−i−i−i−i−iii−i−iii-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i-1ii−i−i-1-1-1-1-1−i−iii−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111
χ91111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ101111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1
χ111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111
χ131111111-1-1-1-11111111-1-1-1-111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1iiii−i−i−i−i−i−iii-1ii−i−i-11111ii−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111
χ141111111-1-1-1-11111111-1-1-1-111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1−i−i−i−iiiiiii−i−i-1−i−iii-11111−i−iiiiiii−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ151111111-1-1-1-11111111-1-1-1-111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111iiii−i−i−i−iii−i−i-1−i−iii-11111ii−i−i−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1
χ161111111-1-1-1-11111111-1-1-1-111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111−i−i−i−iiiii−i−iii-1ii−i−i-11111−i−iiiiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ1711-1-1-111ii−i−i1-1-11-111ii−i−i-1-111-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i-1ii−i−i111-1-11-1i−iii−i−iii−i−i1-11-1-1i−ii−i1ii−i−ii−ii−i11-1-111-1-11-11-1i−ii−i1-1i−i1-1i−i
χ1811-1-1-111ii−i−i1-1-11-111ii−i−i-1-111-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i-1ii−i−i111-1-11-1i−i−i−iii−i−iii-11-11-1−ii−ii1ii−i−i−ii−ii-1-111-1-111-11-11−ii−ii1-1i−i1-1i−i
χ1911-1-1-111ii−i−i1-1-11-111ii−i−i-1-111-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i-1ii−i−i111-1-1-11−iiii−i−iii−i−i-11-11-1−ii−ii1ii−i−ii−ii−i11-1-111-1-1-11-11−ii−ii-11−ii-11−ii
χ2011-1-1-111ii−i−i1-1-11-111ii−i−i-1-111-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i-1ii−i−i111-1-1-11−ii−i−iii−i−iii1-11-1-1i−ii−i1ii−i−i−ii−ii-1-111-1-1111-11-1i−ii−i-11−ii-11−ii
χ2111-1-1-111ii−i−i1-1-11-111ii−i−i-1-1-1-111-111ii−i−i1-1-111-1-1iiii−i−i−i−i1−i−iii-1-1-1111-1i−i11-1-1-1-111−iii−i11-1-11-1−i−iii1-1-11−i−iiiii−i−i−iii−i1-1-111-1i−i-11−ii
χ2211-1-1-111ii−i−i1-1-11-111ii−i−i-1-1-1-111-111ii−i−i1-1-111-1-1iiii−i−i−i−i1−i−iii-1-1-1111-1i−i-1-11111-1-1i−i−ii1-111-1-1−i−iii-111-1ii−i−i−i−iiii−i−ii-111-11-1i−i-11−ii
χ2311-1-1-111ii−i−i1-1-11-111ii−i−i-1-1-1-111-111ii−i−i1-1-111-1-1iiii−i−i−i−i1−i−iii-1-1-111-11−ii11-1-1-1-111i−i−ii1-111-1-1−i−iii1-1-11−i−iiiii−i−ii−i−ii-111-1-11−ii1-1i−i
χ2411-1-1-111ii−i−i1-1-11-111ii−i−i-1-1-1-111-111ii−i−i1-1-111-1-1iiii−i−i−i−i1−i−iii-1-1-111-11−ii-1-11111-1-1−iii−i11-1-11-1−i−iii-111-1ii−i−i−i−iii−iii−i1-1-11-11−ii1-1i−i
χ2511-1-1-111−i−iii1-1-11-111−i−iii-1-111-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii-1−i−iii111-1-11-1−iiii−i−iii−i−i-11-11-1i−ii−i1−i−iiii−ii−i-1-111-1-111-11-11i−ii−i1-1−ii1-1−ii
χ2611-1-1-111−i−iii1-1-11-111−i−iii-1-111-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii-1−i−iii111-1-11-1−ii−i−iii−i−iii1-11-1-1−ii−ii1−i−iii−ii−ii11-1-111-1-11-11-1−ii−ii1-1−ii1-1−ii
χ2711-1-1-111−i−iii1-1-11-111−i−iii-1-111-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii-1−i−iii111-1-1-11i−iii−i−iii−i−i1-11-1-1−ii−ii1−i−iiii−ii−i-1-111-1-1111-11-1−ii−ii-11i−i-11i−i
χ2811-1-1-111−i−iii1-1-11-111−i−iii-1-111-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii-1−i−iii111-1-1-11i−i−i−iii−i−iii-11-11-1i−ii−i1−i−iii−ii−ii11-1-111-1-1-11-11i−ii−i-11i−i-11i−i
χ2911-1-1-111−i−iii1-1-11-111−i−iii-1-1-1-111-111−i−iii1-1-111-1-1−i−i−i−iiiii1ii−i−i-1-1-1111-1−ii11-1-1-1-111i−i−ii11-1-11-1ii−i−i1-1-11ii−i−i−i−iiii−i−ii1-1-111-1−ii-11i−i
χ3011-1-1-111−i−iii1-1-11-111−i−iii-1-1-1-111-111−i−iii1-1-111-1-1−i−i−i−iiiii1ii−i−i-1-1-1111-1−ii-1-11111-1-1−iii−i1-111-1-1ii−i−i-111-1−i−iiiii−i−i−iii−i-111-11-1−ii-11i−i
χ3111-1-1-111−i−iii1-1-11-111−i−iii-1-1-1-111-111−i−iii1-1-111-1-1−i−i−i−iiiii1ii−i−i-1-1-111-11i−i11-1-1-1-111−iii−i1-111-1-1ii−i−i1-1-11ii−i−i−i−iii−iii−i-111-1-11i−i1-1−ii
χ3211-1-1-111−i−iii1-1-11-111−i−iii-1-1-1-111-111−i−iii1-1-111-1-1−i−i−i−iiiii1ii−i−i-1-1-111-11i−i-1-11111-1-1i−i−ii11-1-11-1ii−i−i-111-1−i−iiiii−i−ii−i−ii1-1-11-11i−i1-1−ii
χ3322222-122222-1-1-12-12-1-1-1-1-12222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000000000002222-12222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000
χ3422222-122222-1-1-12-12-1-1-1-1-12222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000000000-2-2-2-2-1-2-2-2-2-1-1-1-1-10000000000001111111100000000
χ3522222-122222-1-1-12-12-1-1-1-1-122-2-2-2-22-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000000000002i2i−2i−2i12i2i−2i−2i11111000000000000−i−iii−i−iii00000000
χ3622222-122222-1-1-12-12-1-1-1-1-122-2-2-2-22-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000000000−2i−2i2i2i1−2i−2i2i2i11111000000000000ii−i−iii−i−i00000000
χ3722222-12-2-2-2-2-1-1-12-12-111112222222-12-2-2-2-2-1-1-1-1-1-1-1111111112-2-2-2-22-1-1-1-10000000000002222-1-2-2-2-2-11111000000000000-1-1-1-1111100000000
χ3822222-12-2-2-2-2-1-1-12-12-111112222222-12-2-2-2-2-1-1-1-1-1-1-1111111112-2-2-2-22-1-1-1-1000000000000-2-2-2-2-12222-111110000000000001111-1-1-1-100000000
χ3922222-12-2-2-2-2-1-1-12-12-1111122-2-2-2-22-12-2-2-2-2-1-1-1-1-1-1-111111111-22222-211110000000000002i2i−2i−2i1−2i−2i2i2i1-1-1-1-1000000000000−i−iiiii−i−i00000000
χ4022222-12-2-2-2-2-1-1-12-12-1111122-2-2-2-22-12-2-2-2-2-1-1-1-1-1-1-111111111-22222-21111000000000000−2i−2i2i2i12i2i−2i−2i1-1-1-1-1000000000000ii−i−i−i−iii00000000
χ412222-22-200002222-22-20000222222-22-200002-2-2-2-22200000000-20000-222220000222222220000-20000-20000-2-2-2-2000000000000000000000000
χ422222-22-200002222-22-20000222222-22-200002-2-2-2-22200000000-20000-222220000-2-2-2-2-2-2-2-20000-20000-200002222000000000000000000000000
χ432222-22-200002222-22-2000022-2-2-2-2-22-200002-2-2-2-22200000000200002-2-2-2-200002i2i2i2i−2i−2i−2i−2i00002000020000−2i−2i2i2i000000000000000000000000
χ442222-22-200002222-22-2000022-2-2-2-2-22-200002-2-2-2-22200000000200002-2-2-2-20000−2i−2i−2i−2i2i2i2i2i000020000200002i2i−2i−2i000000000000000000000000
χ4522-2-222-200002-2-2222-20000-2-222-2-222-20000222-2-2-2-20000000020000-222-2-200002i2i−2i−2i2i2i−2i−2i000020000-20000−2i2i−2i2i000000000000000000000000
χ4622-2-222-200002-2-2222-20000-2-222-2-222-20000222-2-2-2-20000000020000-222-2-20000−2i−2i2i2i−2i−2i2i2i000020000-200002i−2i2i−2i000000000000000000000000
χ4722-2-222-200002-2-2222-20000-2-2-2-22222-20000222-2-2-2-200000000-200002-2-222000022-2-2-2-2220000-2000020000-222-2000000000000000000000000
χ4822-2-222-200002-2-2222-20000-2-2-2-22222-20000222-2-2-2-200000000-200002-2-2220000-2-22222-2-20000-20000200002-2-22000000000000000000000000
χ4922-2-2-2-122i2i−2i−2i-111212-1−i−iii-2-222-2-2-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii-22i2i−2i−2i2-1-1110000000000002-22-212i−2i2i−2i-1−i−iii000000000000-11-11−ii−ii00000000
χ5022-2-2-2-122i2i−2i−2i-111212-1−i−iii-2-222-2-2-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii-22i2i−2i−2i2-1-111000000000000-22-221−2i2i−2i2i-1−i−iii0000000000001-11-1i−ii−i00000000
χ5122-2-2-2-122i2i−2i−2i-111212-1−i−iii-2-2-2-222-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii2−2i−2i2i2i-211-1-10000000000002i−2i−2i2i-1-222-21ii−i−i000000000000−iii−i1-1-1100000000
χ5222-2-2-2-122i2i−2i−2i-111212-1−i−iii-2-2-2-222-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii2−2i−2i2i2i-211-1-1000000000000−2i2i2i−2i-12-2-221ii−i−i000000000000i−i−ii-111-100000000
χ5322-2-2-2-12−2i−2i2i2i-111212-1ii−i−i-2-222-2-2-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i-2−2i−2i2i2i2-1-1110000000000002-22-21−2i2i−2i2i-1ii−i−i000000000000-11-11i−ii−i00000000
χ5422-2-2-2-12−2i−2i2i2i-111212-1ii−i−i-2-222-2-2-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i-2−2i−2i2i2i2-1-111000000000000-22-2212i−2i2i−2i-1ii−i−i0000000000001-11-1−ii−ii00000000
χ5522-2-2-2-12−2i−2i2i2i-111212-1ii−i−i-2-2-2-222-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i22i2i−2i−2i-211-1-10000000000002i−2i−2i2i-12-2-221−i−iii000000000000−iii−i-111-100000000
χ5622-2-2-2-12−2i−2i2i2i-111212-1ii−i−i-2-2-2-222-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i22i2i−2i−2i-211-1-1000000000000−2i2i2i−2i-1-222-21−i−iii000000000000i−i−ii1-1-1100000000
χ572-22i−2i0201+i−1−i1−i−1+i-22i−2i20-201+i−1−i1−i−1+i2i−2i2-22i−2i0201+i−1−i1−i−1+i-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i01+i−1−i1−i−1+i02-22i−2i00002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900000000001+i−1−i1−i−1+i00002−2−i2i22−2−i2i20000000000000000
χ582-22i−2i0201+i−1−i1−i−1+i-22i−2i20-201+i−1−i1−i−1+i2i−2i2-22i−2i0201+i−1−i1−i−1+i-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i01+i−1−i1−i−1+i02-22i−2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000001+i−1−i1−i−1+i0000−22i2−i2−22i2−i20000000000000000
χ592-22i−2i0201+i−1−i1−i−1+i-22i−2i20-201+i−1−i1−i−1+i2i−2i-22−2i2i0201+i−1−i1−i−1+i-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0−1−i1+i−1+i1−i0-22−2i2i0000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000−1−i1+i−1+i1−i0000−i2i2−22i2−i22−20000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.