Finite Group Databasebeta

← Group #14294562

Character table — Group #14294562

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222244444444444444444444444444444444444444445555555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020303030303030303030303030303030306060606060606060
order122244442234466612121212444456610101012121212121212121212151520202020303030303030606060606060606022224444101020202020202020202020303030306060606060606060606060606060606060606060224466661212121244446612121212121212121212888888888888888844444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ91111-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ121111-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711-1-111-1-11-111-11-1-111-1-1i−ii−i11-11-1-11-1ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ1811-1-111-1-11-111-11-1-111-1-1i−ii−i11-11-1-11-1ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ1911-1-111-1-11-111-11-1-111-1-1i−ii−i11-11-1-11-1ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-111-1-111−ii−ii-11-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-111-11-1
χ2011-1-111-1-11-111-11-1-111-1-1i−ii−i11-11-1-11-1ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-111-1-111−ii−ii-11-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ2111-1-111-1-11-111-11-1-111-1-1−ii−ii11-11-1-11-1−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-111-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ2211-1-111-1-11-111-11-1-111-1-1−ii−ii11-11-1-11-1−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-111-1-1−ii−ii1-11-1−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ2311-1-111-1-11-111-11-1-111-1-1−ii−ii11-11-1-11-1−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-111-1-111i−ii−i-11-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ2411-1-111-1-11-111-11-1-111-1-1−ii−ii11-11-1-11-1−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-111-1-111i−ii−i-11-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-111-11-1
χ2511-1-1-1-111-1111-11-1-1-1-111i−i−ii1-111-1-11-1ii−i−i−i−iii11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1ii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1111-1-1-1-111i−i−ii-111-1ii−i−i−i−iii11-1-1-1-11111-1-1-1-111i−i−iii−i−ii
χ2611-1-1-1-111-1111-11-1-1-1-111i−i−ii1-111-1-11-1ii−i−i−i−iii11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1ii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1111-1-1-1-111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-1-11111-1-1−iii−i−iii−i
χ2711-1-1-1-111-1111-11-1-1-1-111i−i−ii1-111-1-11-1ii−i−i−i−iii11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1ii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-11-1-1-11111-1-1−iii−i1-1-11−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-111-11-1-11
χ2811-1-1-1-111-1111-11-1-1-1-111i−i−ii1-111-1-11-1ii−i−i−i−iii11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1ii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-11-1-1-11111-1-1−iii−i1-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1
χ2911-1-1-1-111-1111-11-1-1-1-111−iii−i1-111-1-11-1−i−iiiii−i−i11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-1-1-111−iii−i-111-1−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−iii−i−iii−i
χ3011-1-1-1-111-1111-11-1-1-1-111−iii−i1-111-1-11-1−i−iiiii−i−i11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-1-1-111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-1-11111-1-1i−i−iii−i−ii
χ3111-1-1-1-111-1111-11-1-1-1-111−iii−i1-111-1-11-1−i−iiiii−i−i11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1-11111-1-1i−i−ii1-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1
χ3211-1-1-1-111-1111-11-1-1-1-111−iii−i1-111-1-11-1−i−iiiii−i−i11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1-11111-1-1i−i−ii1-1-11ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-111-11-1-11
χ332222222222-122-1-1-1-1-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222222222-122-1-1-1-1-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111111111000000000000000000000000
χ352222222222-122-1-1-1-1-1-1-1-2-2-2-22-1-1222-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000000000000000
χ362222222222-122-1-1-1-1-1-1-1-2-2-2-22-1-1222-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-21111111122221111-1-1-1-1-1-1-1-1000000000000000000000000
χ3722222222-2-22-2-2222222200002-2-2222-2-2000000002222222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222220000-2-2-2-200000000000000000000000000000000
χ3822222222-2-22-2-2222222200002-2-2222-2-20000000022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ3922222222-2-2-1-2-2-1-1-1-1-1-1-1000021122211−i3i3−i3i3−i3i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2-2-2-1-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ4022222222-2-2-1-2-2-1-1-1-1-1-1-1000021122211−i3i3−i3i3−i3i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32222111111110000-1-1-1-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ4122222222-2-2-1-2-2-1-1-1-1-1-1-1000021122211i3−i3i3−i3i3−i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2-2-2-1-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ4222222222-2-2-1-2-2-1-1-1-1-1-1-1000021122211i3−i3i3−i3i3−i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32222111111110000-1-1-1-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ432222-2-2-2-2222-2-2222-2-2-2-20000222222-2-20000000022-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2000000002222-2-2-2-2000000000000000022-2-22222-2-2-2-2000022-2-200000000000000000000000000000000
χ442222-2-2-2-2222-2-2222-2-2-2-20000222222-2-20000000022-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000002222-2-2-2-20000000000000000-2-222-2-2-2-222220000-2-22200000000000000000000000000000000
χ452222-2-2-2-222-1-2-2-1-1-1111100002-1-122211−i3i3−i3i3i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-222-2-200000000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-111110000-1-111−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ462222-2-2-2-222-1-2-2-1-1-1111100002-1-122211−i3i3−i3i3i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2222222-2-200000000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-2-2221111-1-1-1-1000011-1-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000
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χ1468-88-88i−8i8i−8i00-4004-44−4i4i−4i4i0000-2002-2200000000001−i151+i15−2i2i−2i2i−1+i15−1−i151−i151+i15−1+i15−1−i152ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1568-8-88−8i8i8i−8i00-40044-44i−4i−4i4i0000-20022-200000000001+i151−i152i−2i−2i2i−1−i15−1+i15−1−i15−1+i151+i151−i15−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.