Finite Group Databasebeta

← Group #14296645

Character table — Group #14296645

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222223333444444444444444444444455556666668888888888888888101010101010101010101212121212121212121212121212121215151515202020202020202020202020202030303030303040404040404040406060606060606060
order122234466688884444510101012122020202024242424404040404040404022224488881530303060606060120120120120120120120120446666888820202020202020204040404040404040444444444444121224242424448888121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ511111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-11111-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-11111-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ131111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ141111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ151111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iii-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-1-11-11-1-11ii−i−iii−i−i11-1-11-1-1-111ii−i−iiiii−i−i−i−i1-11-1i−i11-1-11-1-1111-1-1iiii−i−i−i−i1-11-11-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i1-1i−i1-1ii−i−ii−i11-1-11-1i−i1-1i−ii−i1-1i−i1-1
χ1811-1-11-11-1-11ii−i−iii−i−i11-1-11-1-1-111ii−i−iiiii−i−i−i−i1-11-1i−i11-1-11-1-1111-1-1iiii−i−i−i−i1-11-11-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-11−ii1-1ii−i−ii−i11-1-1-11−ii-11−ii−ii-11−ii-11
χ1911-1-11-11-1-11ii−i−iii−i−i11-1-11-1-1-111ii−i−iiiii−i−i−i−i-11-11i−i11-1-11-1-1111-1-1iiii−i−i−i−i-11-11-11−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−iiii−i-11−ii1-1-11−i−iii−ii-1-111i−i-11−ii1-1-11i−i1-1−ii
χ2011-1-11-11-1-11ii−i−iii−i−i11-1-11-1-1-111ii−i−iiiii−i−i−i−i-11-11i−i11-1-11-1-1111-1-1iiii−i−i−i−i-11-11-11−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−iii−ii1-1i−i-11-11−i−iii−ii-1-111−ii1-1i−i-111-1−ii-11i−i
χ2111-1-11-11-1-11ii−i−i−i−iii11-1-11-1-1-111ii−i−iiiii−i−i−i−i1-11-1−ii-1-1111-1-1111-1-1iiii−i−i−i−i1-11-11-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−iii1-1i−i1-1i−i1-1ii−i−i−ii-1-1111-1i−i1-1i−i−ii-11−ii-11
χ2211-1-11-11-1-11ii−i−i−i−iii11-1-11-1-1-111ii−i−iiiii−i−i−i−i1-11-1−ii-1-1111-1-1111-1-1iiii−i−i−i−i1-11-11-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-11−ii-11−ii1-1ii−i−i−ii-1-111-11−ii-11−iii−i1-1i−i1-1
χ2311-1-11-11-1-11ii−i−i−i−iii11-1-11-1-1-111ii−i−iiiii−i−i−i−i-11-11−ii-1-1111-1-1111-1-1iiii−i−i−i−i-11-11-11−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−ii−i-11−ii1-1-11−i−iiii−i11-1-1i−i-11−ii1-11-1−ii-11i−i
χ2411-1-11-11-1-11ii−i−i−i−iii11-1-11-1-1-111ii−i−iiiii−i−i−i−i-11-11−ii-1-1111-1-1111-1-1iiii−i−i−i−i-11-11-11−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i−ii1-1i−i-11-11−i−iiii−i11-1-1−ii1-1i−i-11-11i−i1-1−ii
χ2511-1-11-11-1-11−i−iiiii−i−i11-1-11-1-1-111−i−iii−i−i−i−iiiii1-11-1i−i-1-1111-1-1111-1-1−i−i−i−iiiii1-11-11-1−i−iiiiiii−i−i−i−i-1-1-1-11111ii−i−i1-1−ii1-1−ii1-1−i−iiii−i-1-1111-1−ii1-1−iii−i-11i−i-11
χ2611-1-11-11-1-11−i−iiiii−i−i11-1-11-1-1-111−i−iii−i−i−i−iiiii1-11-1i−i-1-1111-1-1111-1-1−i−i−i−iiiii1-11-11-1−i−iiiiiii−i−i−i−i-1-1-1-11111ii−i−i-11i−i-11i−i1-1−i−iiii−i-1-111-11i−i-11i−i−ii1-1−ii1-1
χ2711-1-11-11-1-11−i−iiiii−i−i11-1-11-1-1-111−i−iii−i−i−i−iiiii-11-11i−i-1-1111-1-1111-1-1−i−i−i−iiiii-11-11-11ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iiii−i1-1−ii-11-11ii−i−i−ii11-1-1i−i1-1−ii-11-11−ii1-1i−i
χ2811-1-11-11-1-11−i−iiiii−i−i11-1-11-1-1-111−i−iii−i−i−i−iiiii-11-11i−i-1-1111-1-1111-1-1−i−i−i−iiiii-11-11-11ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−ii-11i−i1-1-11ii−i−i−ii11-1-1−ii-11i−i1-11-1i−i-11−ii
χ2911-1-11-11-1-11−i−iii−i−iii11-1-11-1-1-111−i−iii−i−i−i−iiiii1-11-1−ii11-1-11-1-1111-1-1−i−i−i−iiiii1-11-11-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii1-1−ii1-1−i−iii−ii11-1-11-1−ii1-1−ii−ii1-1−ii1-1
χ3011-1-11-11-1-11−i−iii−i−iii11-1-11-1-1-111−i−iii−i−i−i−iiiii1-11-1−ii11-1-11-1-1111-1-1−i−i−i−iiiii1-11-11-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-11i−i1-1−i−iii−ii11-1-1-11i−i-11i−ii−i-11i−i-11
χ3111-1-11-11-1-11−i−iii−i−iii11-1-11-1-1-111−i−iii−i−i−i−iiiii-11-11−ii11-1-11-1-1111-1-1−i−i−i−iiiii-11-11-11ii−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−ii−i1-1−ii-11-11ii−i−ii−i-1-111i−i1-1−ii-111-1i−i-11−ii
χ3211-1-11-11-1-11−i−iii−i−iii11-1-11-1-1-111−i−iii−i−i−i−iiiii-11-11−ii11-1-11-1-1111-1-1−i−i−i−iiiii-11-11-11ii−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−i−ii-11i−i1-1-11ii−i−ii−i-1-111−ii-11i−i1-1-11−ii1-1i−i
χ3322222-2-2222000022222222-2-2-2-2-2-20000000000002222-2-200002222-2-2-2-200000000-2-22222000022-2-222-2-200000000222200000000-2-20000-2-200000000000000000000
χ3422222-2-2222000022222222-2-2-2-2-2-2000000000000-2-2-2-2-2-200002222-2-2-2-20000000022-2-2-2-2000022-2-222-2-200000000-2-2-2-2000000002200002200000000000000000000
χ3522222-2-22220000-2-2-2-22222-2-2-2-2-2-200000000000022222200002222-2-2-2-200000000-2-222220000-2-222-2-22200000000-2-2-2-200000000-2-200002200000000000000000000
χ3622222-2-22220000-2-2-2-22222-2-2-2-2-2-2000000000000-2-2-2-22200002222-2-2-2-20000000022-2-2-2-20000-2-222-2-22200000000222200000000220000-2-200000000000000000000
χ372222-122-1-1-1222200002222-1-12222-1-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220000000000000000000022222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ382222-122-1-1-1222200002222-1-12222-1-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222200000000000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000001111111100000000
χ392222-122-1-1-1222200002222-1-12222-1-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i111111000000−i−i−i−iiiii00000000
χ402222-122-1-1-1222200002222-1-12222-1-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i111111000000iiii−i−i−i−i00000000
χ412222-122-1-1-1-2-2-2-200002222-1-122221111-2-2-2-2-2-2-2-22222000000-1-1-1-1-1-1-1-11111111122-1-1-1-1-2-2-2-20000000000000000000022-2-222-2-2-1-11111000000-1-111-1-11100000000
χ422222-122-1-1-1-2-2-2-200002222-1-122221111-2-2-2-2-2-2-2-22222000000-1-1-1-1-1-1-1-11111111122-1-1-1-1-2-2-2-200000000000000000000-2-222-2-222-1-1111100000011-1-111-1-100000000
χ432222-122-1-1-1-2-2-2-200002222-1-122221111-2-2-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1-1-1-1-111111111-2-211112222000000000000000000002i2i−2i−2i−2i−2i2i2i11-1-1-1-1000000−i−iiiii−i−i00000000
χ442222-122-1-1-1-2-2-2-200002222-1-122221111-2-2-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1-1-1-1-111111111-2-21111222200000000000000000000−2i−2i2i2i2i2i−2i−2i11-1-1-1-1000000ii−i−i−i−iii00000000
χ4522-2-222-2-2-2200002i2i−2i−2i22-2-2-2222-2-20000000000002-22-2−2i2i00002-2-22-2-22200000000-222-22-200002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i00000000-220000−2i2i00000000000000000000
χ4622-2-222-2-2-2200002i2i−2i−2i22-2-2-2222-2-2000000000000-22-22−2i2i00002-2-22-2-222000000002-2-22-2200002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i000000002-200002i−2i00000000000000000000
χ4722-2-222-2-2-220000−2i−2i2i2i22-2-2-2222-2-20000000000002-22-22i−2i00002-2-22-2-22200000000-222-22-20000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i00000000-2200002i−2i00000000000000000000
χ4822-2-222-2-2-220000−2i−2i2i2i22-2-2-2222-2-2000000000000-22-222i−2i00002-2-22-2-222000000002-2-22-220000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i000000002-20000−2i2i00000000000000000000
χ4922-2-2-1-2211-12i2i−2i−2i000022-2-2-11-2-222−i−iii2i2i2i2i−2i−2i−2i−2i2-22-2000000-111-1-1-111−i−i−i−iiiii2-2-11-112i2i−2i−2i000000000000000000002-22i−2i2-22i−2i-11−i−iii000000-11−ii-11−ii00000000
χ5022-2-2-1-2211-12i2i−2i−2i000022-2-2-11-2-222−i−iii2i2i2i2i−2i−2i−2i−2i2-22-2000000-111-1-1-111−i−i−i−iiiii2-2-11-112i2i−2i−2i00000000000000000000-22−2i2i-22−2i2i-11−i−iii0000001-1i−i1-1i−i00000000
χ5122-2-2-1-2211-12i2i−2i−2i000022-2-2-11-2-222−i−iii2i2i2i2i−2i−2i−2i−2i-22-22000000-111-1-1-111−i−i−i−iiiii-221-11-1−2i−2i2i2i000000000000000000002i−2i-22−2i2i2-21-1ii−i−i000000−ii1-1i−i-1100000000
χ5222-2-2-1-2211-12i2i−2i−2i000022-2-2-11-2-222−i−iii2i2i2i2i−2i−2i−2i−2i-22-22000000-111-1-1-111−i−i−i−iiiii-221-11-1−2i−2i2i2i00000000000000000000−2i2i2-22i−2i-221-1ii−i−i000000i−i-11−ii1-100000000
χ5322-2-2-1-2211-1−2i−2i2i2i000022-2-2-11-2-222ii−i−i−2i−2i−2i−2i2i2i2i2i2-22-2000000-111-1-1-111iiii−i−i−i−i2-2-11-11−2i−2i2i2i000000000000000000002-2−2i2i2-2−2i2i-11ii−i−i000000-11i−i-11i−i00000000
χ5422-2-2-1-2211-1−2i−2i2i2i000022-2-2-11-2-222ii−i−i−2i−2i−2i−2i2i2i2i2i2-22-2000000-111-1-1-111iiii−i−i−i−i2-2-11-11−2i−2i2i2i00000000000000000000-222i−2i-222i−2i-11ii−i−i0000001-1−ii1-1−ii00000000
χ5522-2-2-1-2211-1−2i−2i2i2i000022-2-2-11-2-222ii−i−i−2i−2i−2i−2i2i2i2i2i-22-22000000-111-1-1-111iiii−i−i−i−i-221-11-12i2i−2i−2i000000000000000000002i−2i2-2−2i2i-221-1−i−iii000000−ii-11i−i1-100000000
χ5622-2-2-1-2211-1−2i−2i2i2i000022-2-2-11-2-222ii−i−i−2i−2i−2i−2i2i2i2i2i-22-22000000-111-1-1-111iiii−i−i−i−i-221-11-12i2i−2i−2i00000000000000000000−2i2i-222i−2i2-21-1−i−iii000000i−i1-1−ii-1100000000
χ572-22-22002-2-2i2−i2i2−i22i−2i2i−2i2-22-2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-2-22002−22−222-2-20000i2i2−i2−i2i2i2−i2−i2002-2-22i2−i2i2−i22i−2i002i−2i0022−2−222−2−22i−2i2i−2i0000000000i2−i2i2−i2002−22−20000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.