Finite Group Databasebeta

← Group #14413183

Character table — Group #14413183

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222224444444444444444444444444444444444444445555888888888888888888888888888888888888101010101010101010101010101010102020202020202020202020202020203030303030303030606060606060606060606060
order12223444444446661212121244451010101212121212121212121212121515202020203030303030306060606060606060444420202020202020202020202060606060606060606060606060606060606060606060606022222244121212121212121244466666612121212121288888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii
χ511111111111-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-1
χ611111111111-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-1-1111
χ711111111111-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1111111ii−i−i−i−iiiiii−i−i−i−i−i−iiii
χ811111111111-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1111111−i−iiiii−i−i−i−i−iiiiiii−i−i−i
χ91111111-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111111111-1-11-1-11-1-11-1-1
χ101111111-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111
χ111111111-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111iiii−i−i−i−ii−i−ii−i−i−iii−iii
χ121111111-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111−i−i−i−iiiii−iii−iiii−i−ii−i−i
χ131111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11-1-1-1111-1-1-111
χ141111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1111-1-1-1111-1-1
χ151111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1ii−i−i−i−iiii−i−i−iii−iiii−i−i
χ161111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−iiii−i−ii−i−i−iii
χ1711111-1-111-1-1111111111-11-11111-1-111-1-1-1-111-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-11-1-1-111-1-1-1-111-1-111111111-11-1-11-1-11-1-11-1
χ1811111-1-111-1-1111111111-11-11111-1-111-1-1-1-111-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-111-111-11
χ1911111-1-111-1-1111111111-11-11111-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111iiii−i−i−i−i−ii−i−ii−ii−iii−ii
χ2011111-1-111-1-1111111111-11-11111-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111−i−i−i−iiiiii−iii−ii−ii−i−ii−i
χ2111111-1-111-1-1-1-1111-1-1-1-11-111111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-111-1-111-1-11111-1-111-1-1-11-11-11-11-11-11
χ2211111-1-111-1-1-1-1111-1-1-1-11-111111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-111-1-111-1-111-1-111-1-1111-11-11-11-11-11-1
χ2311111-1-111-1-1-1-1111-1-1-1-11-111111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-111-1-111-1-1ii−i−i−i−iii−ii−ii−iii−ii−ii−i
χ2411111-1-111-1-1-1-1111-1-1-1-11-111111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-111-1-111-1-1−i−iiiii−i−ii−ii−ii−i−ii−ii−ii
χ2511111-1-1-1-111111111111-1-111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11-1-1-1-111-1-1-1-11111111111-1-11-1-11-1-11-1-11
χ2611111-1-1-1-111111111111-1-111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-111-111-111-1
χ2711111-1-1-1-111111111111-1-111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1iiii−i−i−i−i−i−ii−i−iiii−iii−i
χ2811111-1-1-1-111111111111-1-111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1−i−i−i−iiiiiii−iii−i−i−ii−i−ii
χ2911111-1-1-1-111-1-1111-1-1-1-111-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1111111-1-111-1-111-1-1-1-1111-1-1-1111-1
χ3011111-1-1-1-111-1-1111-1-1-1-111-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1111-1-1-11
χ3111111-1-1-1-111-1-1111-1-1-1-111-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-11111-1-111111-1-1-1-1-1-111ii−i−i−i−iii−i−iiii−iii−i−i−ii
χ3211111-1-1-1-111-1-1111-1-1-1-111-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-11111-1-111111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−ii−i−iiii−i
χ332222-122222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ342222-122222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-211111111111100000000000000000000
χ352222-1222222-2-2-1-1-11111-2-2-22222-1-1-1-1-1-1111111-1-1-2-2-2-2-1-1-1-1-1-1111111112222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111222222-2-2-1-1-1-11111-2-2-2-1-1-1-1-1-111111100000000000000000000
χ362222-1222222-2-2-1-1-11111-2-2-22222-1-1-1-1-1-1111111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2-2-2-2-2221111-1-1-1-1222111111-1-1-1-1-1-100000000000000000000
χ372222-122-2-2-2-222-1-1-1-1-1-1-12-2-22222-1-11111-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-11111111122-2-2-2-222-1-1-1-1-1-1-1-12-2-2-1-11111-1-1111100000000000000000000
χ382222-122-2-2-2-222-1-1-1-1-1-1-12-2-22222-1-11111-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-22222-2-211111111-22211-1-1-1-111-1-1-1-100000000000000000000
χ392222-122-2-2-2-2-2-2-1-1-11111-2222222-1-1111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111222222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-11111-222-1-1111111-1-1-1-100000000000000000000
χ402222-122-2-2-2-2-2-2-1-1-11111-2222222-1-1111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222221111-1-1-1-12-2-211-1-1-1-1-1-1111100000000000000000000
χ412222-1-2-222-2-222-1-1-1-1-1-1-1-22-2222211-1-11111-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-11111-2-222-2-222-1-1-1-1-1-1-1-1-22-211-1-11111-1-11100000000000000000000
χ422222-1-2-222-2-222-1-1-1-1-1-1-1-22-2222211-1-11111-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-1111122-2-222-2-2111111112-22-1-111-1-1-1-111-1-100000000000000000000
χ432222-1-2-222-2-2-2-2-1-1-111112-22222211-1-111-1-111-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1-2-222-2-2-2-2-1-1-1-111112-2211-1-111-1-111-1-100000000000000000000
χ442222-1-2-222-2-2-2-2-1-1-111112-22222211-1-111-1-111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-122-2-222221111-1-1-1-1-22-2-1-111-1-111-1-11100000000000000000000
χ452222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2222221111-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-2-2-2-22211111111-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-221111-1-11111-1-100000000000000000000
χ462222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2222221111-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-22211111111-1-1-1-111111111-1-1-1-12222-2-2-2-21111111122-2-1-1-1-111-1-1-1-11100000000000000000000
χ472222-1-2-2-2-222-2-2-1-1-1111122-222221111-1-1-1-1-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-2222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-222-2-2-1-1-1-1111122-21111-1-1-1-1-1-11100000000000000000000
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χ1478-8-88-40000000044-4−4i34i34i3−4i3000-2-2220000000000001−i151+i1525−25−25251−i151+i15−1+i15−1−i15−1+i15−1−i152ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ920000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1498-8-88-40000000044-44i3−4i3−4i34i3000-2-2220000000000001−i151+i15−252525−251−i151+i15−1+i15−1−i15−1+i15−1−i15−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ920000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.