Finite Group Databasebeta

← Group #14296446

Character table — Group #14296446

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222444444444444445555555566668888888888888888888810101010101010101010101010101010121220202020202020202020202020202020202020202020202020202424242424242424303030303030303030303030606060606060
order1222444436661212121244510101012121212202020202222444488881520202020303030606060606060606060606060444444446666121212128844444412121212121212121212121212121212121212124040404040404040888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-111-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-111-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii11−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i11ii−i−i
χ91111111111111111-1-11111-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ101111111111111111-1-11111-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ121111111111111111-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ131111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-111−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ141111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-111ii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ151111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111−i−i−i−iiiii-1-1ii−i−i
χ161111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111ii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111iiii−i−i−i−i-1-1−i−iii
χ171111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-1ii−i−i111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1i−i1-11-11-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−i
χ181111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-1ii−i−i111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1i−i1-1-11-1111-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−i−iiii−i−ii−ii
χ191111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-1−i−iii111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1−ii1-11-11-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii
χ201111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-1−i−iii111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1−ii1-1-11-1111-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−i−iii−ii−i
χ211111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-11111ii−i−i111-1-1111-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-1-1-11111i−i-11i−i−ii-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−ii-111-1
χ221111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-11111ii−i−i111-1-1111-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-1-1-11111i−i-11−iii−i-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii11-1-1-1-111−ii1-1-11
χ231111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-11111−i−iii111-1-1111-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-1-1-11111−ii-11i−i−ii-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i11-1-1-1-111i−i1-1-11
χ241111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-11111−i−iii111-1-1111-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-1-1-11111−ii-11−iii−i-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1i−i-111-1
χ251111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1ii−i−i1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1−ii-11-11-11-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−iii−i−iii−i−i−ii−ii−ii
χ261111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1ii−i−i1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1−ii-111-11-1-1-111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iii−iii−ii−i
χ271111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1−i−iii1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1i−i-11-11-11-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii−i−iii−i−iiii−ii−ii−i
χ281111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1−i−iii1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1i−i-111-11-1-1-111-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−ii−i−ii−ii
χ291111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111ii−i−i1-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-11111−ii1-1−iii−i11-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-1-11111-1-1i−i1-1-11
χ301111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111ii−i−i1-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-11111−ii1-1i−i−ii11-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iii11-1-1-1-111i−i-111-1
χ311111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111−i−iii1-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-11111i−i1-1−iii−i11-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i11-1-1-1-111−ii-111-1
χ321111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111−i−iii1-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-11111i−i1-1i−i−ii11-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1−ii1-1-11
χ3322222222-1-1-1-1-1-1-1-1222222-1-1-1-12222222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ3422222222-1-1-1-1-1-1-1-1222222-1-1-1-12222222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-2-1-1-1-1111111111111111100000000000000000000000000
χ3522222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-2-2-2-2-2-2-2-20000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i1111111100-2-22i2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000
χ3622222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-2-2-2-2-2-2-2-20000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111111100-2-2−2i−2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000
χ3722222222-1-1-1-1-1-1-1-1-2-2222211112222222222220000-1-2-2-2-2-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-100-2-2-2-2-2-21111-1-1-1-11111-1-1-1-1111100000000000000000000000000
χ3822222222-1-1-1-1-1-1-1-1-2-2222211112222222222220000-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100-2-2222211111111-1-1-1-11111-1-1-1-100000000000000000000000000
χ3922222222-1-1-1-1-1-1-1-1-2-2222211112222-2-2-2-2-2-2-2-20000-1-2-2-2-2-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i111111110022−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000
χ4022222222-1-1-1-1-1-1-1-1-2-2222211112222-2-2-2-2-2-2-2-20000-1-2-2-2-2-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2i1111111100222i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ412222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-22222-2-2-2-20000-122-2-2-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111002-22-22-2-1-111-1-111-1-111-1-111-1-11100000000000000000000000000
χ422222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-22222-2-2-2-20000-122-2-2-1-1-11111-1-1-1-11111-2-222-2-222-1-1-1-11111002-2-22-22-1-11111-1-111-1-111-1-111-1-100000000000000000000000000
χ432222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-2-2-2-222220000-122-2-2-1-1-11111-1-1-1-111112i2i−2i−2i−2i−2i2i2i1111-1-1-1-100-222i−2i−2i2i11-1-1−i−iii−i−iiiii−i−iii−i−i00000000000000000000000000
χ442222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-2-2-2-222220000-122-2-2-1-1-11111-1-1-1-11111−2i−2i2i2i2i2i−2i−2i1111-1-1-1-100-22−2i2i2i−2i11-1-1ii−i−iii−i−i−i−iii−i−iii00000000000000000000000000
χ452222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-22222-2-2-2-20000-1-2-222-1-1-111111111-1-1-1-122-2-222-2-2-1-1-1-1111100-22-22-2211-1-1-1-11111-1-1-1-11111-1-100000000000000000000000000
χ462222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-22222-2-2-2-20000-1-2-222-1-1-111111111-1-1-1-1-2-222-2-222-1-1-1-1111100-222-22-211-1-111-1-1-1-11111-1-1-1-11100000000000000000000000000
χ472222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-2-2-2-222220000-1-2-222-1-1-111111111-1-1-1-12i2i−2i−2i−2i−2i2i2i1111-1-1-1-1002-2−2i2i2i−2i-1-111−i−iiiii−i−iii−i−i−i−iii00000000000000000000000000
χ482222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-2-2-2-222220000-1-2-222-1-1-111111111-1-1-1-1−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1002-22i−2i−2i2i-1-111ii−i−i−i−iii−i−iiiii−i−i00000000000000000000000000
χ4922-2-222-2-222-2-222-2-20022-2-2000022-2-222-2-222-2-20000200002-2-222-2-2000000000000000022-2-222-2-200000000000000000000000000000000000000002-22-22-22-2000000
χ5022-2-222-2-222-2-222-2-20022-2-2000022-2-222-2-222-2-20000200002-2-222-2-2000000000000000022-2-222-2-20000000000000000000000000000000000000000-22-22-22-22000000
χ5122-2-222-2-222-2-222-2-20022-2-2000022-2-2-2-222-2-2220000200002-2-222-2-20000000000000000-2-222-2-22200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000
χ5222-2-222-2-222-2-222-2-20022-2-2000022-2-2-2-222-2-2220000200002-2-222-2-20000000000000000-2-222-2-2220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000
χ5322-2-2-2-22222-2-2-2-2220022-2-20000-2-22222-2-2-2-2220000200002-2-2-2-222000000000000000022-2-2-2-22200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000
χ5422-2-2-2-22222-2-2-2-2220022-2-20000-2-22222-2-2-2-2220000200002-2-2-2-222000000000000000022-2-2-2-2220000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000
χ5522-2-2-2-22222-2-2-2-2220022-2-20000-2-222-2-22222-2-20000200002-2-2-2-2220000000000000000-2-22222-2-200000000000000000000000000000000000000002-2-22-222-2000000
χ5622-2-2-2-22222-2-2-2-2220022-2-20000-2-222-2-22222-2-20000200002-2-2-2-2220000000000000000-2-22222-2-20000000000000000000000000000000000000000-222-22-2-22000000
χ572-22-22i−2i2i−2i2-22-22i−2i2i−2i002-22-200002i−2i2i−2i2-22-22i−2i2i−2i000020000-22-22i−2i2i−2i000000002-22i−2i2-22i−2i2-22-22i−2i2i−2i0000000000002-22i−2i00002-22i−2i000000000000000000000000000000
χ582-22-22i−2i2i−2i2-22-22i−2i2i−2i002-22-200002i−2i2i−2i2-22-22i−2i2i−2i000020000-22-22i−2i2i−2i00000000-22−2i2i-22−2i2i2-22-22i−2i2i−2i000000000000-22−2i2i0000-22−2i2i000000000000000000000000000000
χ592-22-22i−2i2i−2i2-22-22i−2i2i−2i002-22-200002i−2i2i−2i-22-22−2i2i−2i2i000020000-22-22i−2i2i−2i000000002i−2i-22−2i2i2-2-22-22−2i2i−2i2i0000000000002i−2i-220000−2i2i2-2000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.