Finite Group Databasebeta

← Group #14413898

Character table — Group #14413898

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222224444444444445555555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202024242424242424243030303030303030303030303030303060606060
order1222444434444666121212125101010121212122020202022224444152020202030303060606060606060606060606044446666121212122444888888881212121224242424242424242424242424242424101020202020202088888888888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111
χ9111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ11111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ12111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ13111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ14111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ15111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ16111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1
χ171111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1i−ii−ii−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1−ii−ii−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ191111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11i−ii−ii−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−i−iii−i−iii-11-11
χ201111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11−ii−ii−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-11-11
χ211111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-11-11-11-1-11-11-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ221111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-11-1-11-111-11-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-11-11
χ231111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-111-11-1-11-11-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-11-11-1
χ241111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11-11-111-11-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1
χ251111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11i−i−iii−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ261111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11−iii−i−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ271111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-111-1i−i−iii−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ281111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-111-1−iii−i−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ291111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-11-111-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ301111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11-111-11-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ311111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-11-1-11-111-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ321111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-111-11-1-1111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11
χ3322222222-12222-1-1-1-1-1-1-12222-1-1-1-1222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ3422222222-12222-1-1-1-1-1-1-12222-1-1-1-1222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000000000000000
χ3522222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100002i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000
χ3622222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-122221111222222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-1000022-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-122221111222222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-10000-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111122221111111100002i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111112222111111110000−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000
χ412222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111122-2-2-1-1-1-1111100002i−2i2i−2i2i−2i2i−2i-1-111−i−iii−i−iii−i−iii−i−iii0000000000000000000000000000
χ422222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111122-2-2-1-1-1-111110000−2i2i−2i2i−2i2i−2i2i-1-111ii−i−iii−i−iii−i−iii−i−i0000000000000000000000000000
χ432222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-2-2-2-2-22222-122-2-2-1-1-11111-1-1-1-11111-2-2221111-1-1-1-100002-22-2-22-2211-1-1-1-111-1-11111-1-111-1-10000000000000000000000000000
χ442222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-2-2-2-2-22222-122-2-2-1-1-11111-1-1-1-11111-2-2221111-1-1-1-10000-22-222-22-211-1-111-1-111-1-1-1-111-1-1110000000000000000000000000000
χ452222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-22222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-1-1-1-1111100002i−2i−2i2i2i−2i−2i2i11-1-1−i−iiiii−i−i−i−iiiii−i−i0000000000000000000000000000
χ462222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-22222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-1-1-1-111110000−2i2i2i−2i−2i2i2i−2i11-1-1ii−i−i−i−iiiii−i−i−i−iii0000000000000000000000000000
χ472222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-122-2-21111-1-1-1-100002-2-22-222-2-1-111-1-11111-1-111-1-1-1-1110000000000000000000000000000
χ482222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-122-2-21111-1-1-1-10000-222-22-2-22-1-11111-1-1-1-111-1-11111-1-10000000000000000000000000000
χ4922-2-222-2-222i−2i2i−2i2-2-222-2-222-2-22i−2i2i−2i22-2-222-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i22-2-222-2-20000000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ5022-2-222-2-222i−2i2i−2i2-2-222-2-222-2-22i−2i2i−2i22-2-2-2-222-2-22222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i−2i2i−2i2i-2-222-2-222000000000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ5122-2-222-2-22−2i2i−2i2i2-2-222-2-222-2-2−2i2i−2i2i22-2-222-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i22-2-222-2-2000000000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ5222-2-222-2-22−2i2i−2i2i2-2-222-2-222-2-2−2i2i−2i2i22-2-2-2-222-2-2222−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i-2-222-2-2220000000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ5322-2-222-2-2-12i−2i2i−2i-111-1-11122-2-2−ii−ii22-2-222-2-222-2-2-12i−2i2i−2i-111-1-111−i−iii−i−iii2i−2i2i−2i-1-111-1-111000000000000−ii−ii−i3i3−i3i33−33−3−i3i3−i3i33−33−30000000000000000000000000000
χ5422-2-222-2-2-12i−2i2i−2i-111-1-11122-2-2−ii−ii22-2-222-2-222-2-2-12i−2i2i−2i-111-1-111−i−iii−i−iii2i−2i2i−2i-1-111-1-111000000000000−ii−iii3−i3i3−i3−33−33i3−i3i3−i3−33−330000000000000000000000000000
χ5522-2-222-2-2-12i−2i2i−2i-111-1-11122-2-2−ii−ii22-2-2-2-222-2-222-12i−2i2i−2i-111-1-111−i−iii−i−iii−2i2i−2i2i11-1-111-1-1000000000000i−ii−i3−33−3i3−i3i3−i3−33−33−i3i3−i3i30000000000000000000000000000
χ5622-2-222-2-2-12i−2i2i−2i-111-1-11122-2-2−ii−ii22-2-2-2-222-2-222-12i−2i2i−2i-111-1-111−i−iii−i−iii−2i2i−2i2i11-1-111-1-1000000000000i−ii−i−33−33−i3i3−i3i33−33−3i3−i3i3−i30000000000000000000000000000
χ5722-2-222-2-2-1−2i2i−2i2i-111-1-11122-2-2i−ii−i22-2-222-2-222-2-2-1−2i2i−2i2i-111-1-111ii−i−iii−i−i−2i2i−2i2i-1-111-1-111000000000000i−ii−i−i3i3−i3i3−33−33−i3i3−i3i3−33−330000000000000000000000000000
χ5822-2-222-2-2-1−2i2i−2i2i-111-1-11122-2-2i−ii−i22-2-222-2-222-2-2-1−2i2i−2i2i-111-1-111ii−i−iii−i−i−2i2i−2i2i-1-111-1-111000000000000i−ii−ii3−i3i3−i33−33−3i3−i3i3−i33−33−30000000000000000000000000000
χ5922-2-222-2-2-1−2i2i−2i2i-111-1-11122-2-2i−ii−i22-2-2-2-222-2-222-1−2i2i−2i2i-111-1-111ii−i−iii−i−i2i−2i2i−2i11-1-111-1-1000000000000−ii−ii3−33−3−i3i3−i3i3−33−33i3−i3i3−i30000000000000000000000000000
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χ11488888888-4-8-8-8-8-4-4-4-4-4-4-4-2-2-2-24444-2-2-2-200000000122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-888-8-8-48i−8i8i−8i-444-4-444-2-222−4i4i−4i4i-2-222000000001−2i2i−2i2i1-1-111-1-1ii−i−iii−i−i000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-888-8-8-4−8i8i−8i8i-444-4-444-2-2224i−4i4i−4i-2-2220000000012i−2i2i−2i1-1-111-1-1−i−iii−i−iii000000000000000000000000000000000000000000000000000000000000000000000000
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χ1228-88-88i−8i8i−8i-400004-44−4i4i−4i4i-22-220000−2i2i−2i2i0000000010000-11-1i−ii−i−i15i15−i15i15−1515−1515000000000000000000000000000000000000000000000000000000000000000000000000
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χ1248-88-8−8i8i−8i8i80000-88-8−8i8i−8i8i-22-2200002i−2i2i−2i00000000-200002-222i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1298-8-888i−8i−8i8i-4000044-4−4i4i4i−4i-222-20000−2i2i2i−2i0000000010000-1-11i−i−ii15−15−1515−i15i15i15−i15000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-88−8i8i8i−8i80000-8-88−8i8i8i−8i-222-200002i−2i−2i2i00000000-2000022-22i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88−8i8i8i−8i-4000044-44i−4i−4i4i-222-200002i−2i−2i2i0000000010000-1-11−iii−i−151515−15−i15i15i15−i15000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88−8i8i8i−8i-4000044-44i−4i−4i4i-222-200002i−2i−2i2i0000000010000-1-11−iii−i15−15−1515i15−i15−i15i15000000000000000000000000000000000000000000000000000000000000000000000000

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