Finite Group Databasebeta

← Group #14312760

Character table — Group #14312760

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order1244222344466612121212444456610101012121212121212121212151520202020303030303030606060606060606088881010202020202020202020203030303060606060606060606060606060606060606060608888882424242424242424888824242424242424242424242416161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−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−i−i−i−i−iiiiiiiii
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111-1-111-1-11-1-111-1-1ii−i−i11-11-1-11-1iiii−i−i−i−i1111-1-111-1-1-1-11111-1-1-1-111111-11-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i
χ1011111-1-111-1-11-1-111-1-1ii−i−i11-11-1-11-1iiii−i−i−i−i1111-1-111-1-1-1-11111-1-1-1-111111-11-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii
χ1111111-1-111-1-11-1-111-1-1ii−i−i11-11-1-11-1iiii−i−i−i−i1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-11111−i−iii-1-111−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-1
χ1211111-1-111-1-11-1-111-1-1ii−i−i11-11-1-11-1iiii−i−i−i−i1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-11111−i−iii-1-111−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-111
χ1311111-1-111-1-11-1-111-1-1−i−iii11-11-1-11-1−i−i−i−iiiii1111-1-111-1-1-1-11111-1-1-1-111111-11-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii
χ1411111-1-111-1-11-1-111-1-1−i−iii11-11-1-11-1−i−i−i−iiiii1111-1-111-1-1-1-11111-1-1-1-111111-11-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i
χ1511111-1-111-1-11-1-111-1-1−i−iii11-11-1-11-1−i−i−i−iiiii1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-11111ii−i−i-1-111iiii−i−i−i−iii−i−i11-1-1−i−iii-1-111
χ1611111-1-111-1-11-1-111-1-1−i−iii11-11-1-11-1−i−i−i−iiiii1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-11111ii−i−i-1-111iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-1
χ171111-11-11-11-11-1-111-1-1i−ii−i1-111-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-11111-11-11ii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-1i−ii−i-1-111ii−i−iii−i−ii−ii−i1-11-1i−ii−i1-11-1
χ181111-11-11-11-11-1-111-1-1i−ii−i1-111-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-11111-11-11ii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-1i−ii−i-1-111ii−i−iii−i−i−ii−ii-11-11−ii−ii-11-11
χ191111-11-11-11-11-1-111-1-1i−ii−i1-111-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11ii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-11111−ii−ii11-1-1−i−iii−i−iii1-11-1−ii−ii-11-11i−ii−i
χ201111-11-11-11-11-1-111-1-1i−ii−i1-111-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11ii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-11111−ii−ii11-1-1−i−iii−i−iii-11-11i−ii−i1-11-1−ii−ii
χ211111-11-11-11-11-1-111-1-1−ii−ii1-111-1-1-11−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-11111-11-11−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-1−ii−ii-1-111−i−iii−i−iiii−ii−i-11-11i−ii−i-11-11
χ221111-11-11-11-11-1-111-1-1−ii−ii1-111-1-1-11−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-11111-11-11−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-1−ii−ii-1-111−i−iii−i−iii−ii−ii1-11-1−ii−ii1-11-1
χ231111-11-11-11-11-1-111-1-1−ii−ii1-111-1-1-11−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-11111i−ii−i11-1-1ii−i−iii−i−i1-11-1i−ii−i-11-11−ii−ii
χ241111-11-11-11-11-1-111-1-1−ii−ii1-111-1-1-11−i−iii−i−iii1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-11111i−ii−i11-1-1ii−i−iii−i−i-11-11−ii−ii1-11-1i−ii−i
χ251111-1-111-1-1111111111-1-111-1-1111-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-111i−i−ii−iii−ii−i−ii−iii−i
χ261111-1-111-1-1111111111-1-111-1-1111-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-111−iii−ii−i−ii−iii−ii−i−ii
χ271111-1-111-1-1111111111-1-111-1-1111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-11-1-11-111-1-111-11-1-11
χ281111-1-111-1-1111111111-1-111-1-1111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-111-11-1-111-1-11-111-1
χ291111-1-111-1-111111111-111-11-1-1111-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1i−i−iii−i−iii−i−iii−i−ii
χ301111-1-111-1-111111111-111-11-1-1111-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1−iii−i−iii−i−iii−i−iii−i
χ311111-1-111-1-111111111-111-11-1-1111-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1111-1-111-1-11-111-1-111-1
χ321111-1-111-1-111111111-111-11-1-1111-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-111-1-111-11-1-111-1-11
χ332222222-1222-1-1-1-1-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222-1222-1-1-1-1-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ352222222-1222-1-1-1-1-1-1-1-2-2-2-22-1-1222-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ362222222-1222-1-1-1-1-1-1-1-2-2-2-22-1-1222-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-10000000000000000
χ3722222-2-2-12-2-2-111-1-1112i2i−2i−2i2-112-2-2-11−i−i−i−iiiii-1-122-2-2-1-11111-1-1-1-1111122222-22-22i2i2i2i−2i−2i−2i−2i-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii-2-222-2-2-1-1-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000000000000
χ3822222-2-2-12-2-2-111-1-1112i2i−2i−2i2-112-2-2-11−i−i−i−iiiii-1-122-2-2-1-11111-1-1-1-11111-2-2-2-22-22-22i2i2i2i−2i−2i−2i−2i-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii22-2-2221111-1-1-1-1−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000000000
χ3922222-2-2-12-2-2-111-1-111−2i−2i2i2i2-112-2-2-11iiii−i−i−i−i-1-122-2-2-1-11111-1-1-1-1111122222-22-2−2i−2i−2i−2i2i2i2i2i-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i-2-222-2-2-1-1-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i0000000000000000
χ4022222-2-2-12-2-2-111-1-111−2i−2i2i2i2-112-2-2-11iiii−i−i−i−i-1-122-2-2-1-11111-1-1-1-11111-2-2-2-22-22-2−2i−2i−2i−2i2i2i2i2i-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i22-2-2221111-1-1-1-12i2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000
χ412222-22-2-1-22-2-111-1-1112i−2i2i−2i21-12-2-21-1−i−iii−i−iii-1-122-2-2-1-11111-1-1-1-111112222-22-222i2i−2i−2i2i2i−2i−2i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-2-2-2-222-1-1-1-111112i−2i2i−2i11-1-1−i−iii−i−iii0000000000000000
χ422222-22-2-1-22-2-111-1-1112i−2i2i−2i21-12-2-21-1−i−iii−i−iii-1-122-2-2-1-11111-1-1-1-11111-2-2-2-2-22-222i2i−2i−2i2i2i−2i−2i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii2222-2-21111-1-1-1-1−2i2i−2i2i-1-111ii−i−iii−i−i0000000000000000
χ432222-22-2-1-22-2-111-1-111−2i2i−2i2i21-12-2-21-1ii−i−iii−i−i-1-122-2-2-1-11111-1-1-1-111112222-22-22−2i−2i2i2i−2i−2i2i2i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-2-2-2-222-1-1-1-11111−2i2i−2i2i11-1-1ii−i−iii−i−i0000000000000000
χ442222-22-2-1-22-2-111-1-111−2i2i−2i2i21-12-2-21-1ii−i−iii−i−i-1-122-2-2-1-11111-1-1-1-11111-2-2-2-2-22-22−2i−2i2i2i−2i−2i2i2i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i2222-2-21111-1-1-1-12i−2i2i−2i-1-111−i−iii−i−iii0000000000000000
χ452222-2-22-1-2-22-1-1-1-1-1-1-12-2-2221122211-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-2-2-2-22211111111-1-1-1-111111111-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-12-2-221111-1-11111-1-10000000000000000
χ462222-2-22-1-2-22-1-1-1-1-1-1-12-2-2221122211-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-22211111111-1-1-1-111111111-1-1-1-1-2-2222211111111-222-2-1-1-1-111-1-1-1-1110000000000000000
χ472222-2-22-1-2-22-1-1-1-1-1-1-1-222-22112221111-1-1-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-22222-2-2111111111111-1-1-1-1-1-1-1-1111122-2-2-2-2-1-1-1-1-1-1-1-1-222-2111111-1-1-1-1110000000000000000
χ482222-2-22-1-2-22-1-1-1-1-1-1-1-222-22112221111-1-1-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-2-2111111111111-1-1-1-1-1-1-1-11111-2-22222111111112-2-22-1-1-1-1-1-11111-1-10000000000000000
χ4922-2-22222-2-2-2222-2-2-2-20000222222-2-20000000022-2-2-2-2222222-2-2-2-2-2-2-2-22i2i−2i−2i22-2-2000000002222-2-2-2-200000000000000002i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00002i−2i2i−2i000000000000000000000000
χ5022-2-22222-2-2-2222-2-2-2-20000222222-2-20000000022-2-2-2-2222222-2-2-2-2-2-2-2-2−2i−2i2i2i22-2-2000000002222-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000−2i2i−2i2i000000000000000000000000
χ5122-2-2222-1-2-2-2-1-1-1111100002-1-122211−i3i3−i3i3−i3i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-1111111112i2i−2i−2i22-2-200000000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i−2i2i−2i2i−2i−i−iii−i−iii0000−ii−ii3−33−33−33−30000000000000000
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χ1428-8−8i8i000-40004−4i34i34i−4i−43430000-200225−2500000000001−i151+i152i−2i−2i52i5−1+i15−1−i152ζ28−2ζ44+2ζ52−2ζ116−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ4+2ζ68−2ζ76+2ζ92−2ζ14−2ζ22−2ζ86−2ζ1182ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ38+2ζ46+2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8−8i8i000-400044i3−4i34i−4i43−430000-2002−252500000000001−i151+i152i−2i2i5−2i5−1+i15−1−i15−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−2ζ14−2ζ22−2ζ86−2ζ1182ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ38+2ζ46+2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ14+2ζ22−2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ38+2ζ46−2ζ62+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8−8i8i000-400044i3−4i34i−4i43−430000-200225−2500000000001+i151−i152i−2i−2i52i5−1−i15−1+i15−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−2ζ38−2ζ46−2ζ62−2ζ942ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ14+2ζ22+2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ38+2ζ46−2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ14+2ζ22−2ζ86+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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