Finite Group Databasebeta

← Group #14322720

Character table — Group #14322720

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order122234444446661212121224445661010101212121212121212121215152020202030303030303060606060606060602222101020202020202020202020303030306060606060606060606060606060606060606060444444666612121212244466121212121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ5111111111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111-1-1-1-11-1-11111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii
χ8111111111111111111-1-1-1-11-1-11111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i
χ91111111-1-1-1-1111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111
χ101111111-1-1-1-1111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1
χ111111111-1-1-1-1111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111ii−i−i−i−iii−i−iiiii−i−i
χ121111111-1-1-1-1111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111−i−iiiii−i−iii−i−i−i−iii
χ131111111-1-1-1-11111111-1-1111-1-1111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ141111111-1-1-1-11111111-1-1111-1-1111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ151111111-1-1-1-11111111-1-1111-1-1111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii
χ161111111-1-1-1-11111111-1-1111-1-1111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ1711111-1-111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11-11111-1-1-1-111-1-11-11-11-11-11-11-11-11-1
χ1811111-1-111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11-11111-1-1-1-111-1-1-11-11-11-11-11-11-11-11
χ1911111-1-111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-11-11-1-1-1-11111-1-111i−ii−i−ii−iii−ii−i−ii−ii
χ2011111-1-111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-11-11-1-1-1-11111-1-111−ii−iii−ii−i−ii−iii−ii−i
χ2111111-1-111-1-1111-1-1-1-1-11-111-1-111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-1111-1-111-1-111-1-111-1-11
χ2211111-1-111-1-1111-1-1-1-1-11-111-1-111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-111-1-111-1-111-1-111-1
χ2311111-1-111-1-1111-1-1-1-1-11-111-1-111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111-11-111-1-111-1-111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ2411111-1-111-1-1111-1-1-1-1-11-111-1-111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111-11-111-1-111-1-111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ2511111-1-1-1-111111-1-1-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-111-1-1-1-1111-1-111-1-11-111-1-111-1
χ2611111-1-1-1-111111-1-1-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-111-1-1-1-111-111-1-111-11-1-111-1-11
χ2711111-1-1-1-111111-1-1-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-111-1-1-111-1-11111-1-1i−i−ii−iii−i−iii−ii−i−ii
χ2811111-1-1-1-111111-1-1-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-111-1-1-111-1-11111-1-1−iii−ii−i−iii−i−ii−iii−i
χ2911111-1-1-1-111111-1-1-1-1-111-11-1-1111-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1111111-1-11-11-11-11-1-11-11-11-11
χ3011111-1-1-1-111111-1-1-1-1-111-11-1-1111-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1111111-1-1-11-11-11-111-11-11-11-1
χ3111111-1-1-1-111111-1-1-1-1-111-11-1-1111-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-111i−ii−i−ii−ii−ii−iii−ii−i
χ3211111-1-1-1-111111-1-1-1-1-111-11-1-1111-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-111−ii−iii−ii−ii−ii−i−ii−ii
χ332222-1222222-1-1-1-1-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222-1222222-1-1-1-1-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ352222-1222222-1-1-1-1-1-1-1-2-2-2-2211222-1-1-1-1111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-22222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111222222-1-1-1-1-1-1-1-1-2-2-2-211-1-1-1-11111110000000000000000
χ362222-1222222-1-1-1-1-1-1-1-2-2-2-2211222-1-1-1-1111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-2-2-2-2111111112222-1-11111-1-1-1-1-1-10000000000000000
χ372222-122-2-2-2-2-1-1-1-1-1-1-122-2-22-1-12221111-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-1-1-122-2-2-1-11111-1-111110000000000000000
χ382222-122-2-2-2-2-1-1-1-1-1-1-122-2-22-1-12221111-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-2222211111111-2-22211-1-1-1-111-1-1-1-10000000000000000
χ392222-122-2-2-2-2-1-1-1-1-1-1-1-2-222211222111111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000000000000000
χ402222-122-2-2-2-2-1-1-1-1-1-1-1-2-222211222111111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-222221111111122-2-2-1-1-1-1-1-1-1-111110000000000000000
χ412222-1-2-222-2-2-1-1-111112-22-22-1-1222-1-11111-1-111-1-1-2-2-2-2-1-1-1-1-1-11111111122222222-2-2-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-222-2-2-1-1-1-111112-22-2-1-1-1-11111-1-1110000000000000000
χ422222-1-2-222-2-2-1-1-111112-22-22-1-1222-1-11111-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1111122-2-2221111-1-1-1-1-22-221111-1-1-1-111-1-10000000000000000
χ432222-1-2-222-2-2-1-1-11111-22-22211222-1-111-1-111-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1-2-222-2-2-1-1-1-11111-22-2211-1-111-1-111-1-10000000000000000
χ442222-1-2-222-2-2-1-1-11111-22-22211222-1-111-1-111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-122-2-2221111-1-1-1-12-22-2-1-111-1-111-1-1110000000000000000
χ452222-1-2-2-2-222-1-1-111112-2-222-1-122211-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111222222-2-222-2-2-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-1-2-2-2-222-1-1-1-111112-2-22-1-111-1-11111-1-10000000000000000
χ462222-1-2-2-2-222-1-1-111112-2-222-1-122211-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-222-2-222-2-2-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-12222-2-21111-1-1-1-1-222-211-1-111-1-1-1-1110000000000000000
χ472222-1-2-2-2-222-1-1-11111-222-221122211-1-1-1-1-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-2222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-1-11111-222-21111-1-1-1-1-1-1110000000000000000
χ482222-1-2-2-2-222-1-1-11111-222-221122211-1-1-1-1-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111112222-2-21111-1-1-1-12-2-22-1-1-1-1111111-1-10000000000000000
χ4922-2-222-22i−2i2i−2i2-2-222-2-200002002-2-22i−2i2i−2i0000002222-2-222-2-2-2-22222-2-2-2-22-2-22002i−2i2i−2i00000000002i2i−2i−2i2i2i−2i−2i0000000000002-22i−2i2i−2i22-2-222-2-20000002i−2i2i−2i0000000000000000000000
χ5022-2-222-22i−2i2i−2i2-2-222-2-200002002-2-22i−2i2i−2i0000002222-2-222-2-2-2-22222-2-2-2-2-222-2002i−2i2i−2i00000000002i2i−2i−2i2i2i−2i−2i000000000000-22−2i2i−2i2i-2-222-2-222000000−2i2i−2i2i0000000000000000000000
χ5122-2-222-2−2i2i−2i2i2-2-222-2-200002002-2-2−2i2i−2i2i0000002222-2-222-2-2-2-22222-2-2-2-22-2-2200−2i2i−2i2i0000000000−2i−2i2i2i−2i−2i2i2i0000000000002-2−2i2i−2i2i22-2-222-2-2000000−2i2i−2i2i0000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.