Finite Group Databasebeta

← Group #14419111

Character table — Group #14419111

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222224444444444445555555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202024242424242424243030303030303030303030303030303060606060
order122244443444466612121212510101012121212202020204444444415202020203030306060606060606060606060602244121212121212121244446688888888121224242424242424242424242424242424202020202020202088888888888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-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
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-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
χ9111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ10111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ11111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11
χ12111111111-1-1-1-111111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11
χ13111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11-11
χ14111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-11
χ15111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11-1
χ16111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11-1
χ171111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-111i−ii−ii−ii−i-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1
χ181111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-111−ii−ii−ii−ii-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1
χ191111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1111i−ii−ii−ii−i-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-111
χ201111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1111−ii−ii−ii−ii-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-1-111
χ211111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-11-1-1-11-11-1-11-111111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111
χ221111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-11-1-1-1-11-111-11-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ231111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11-1-11-11-1-11-111111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-1
χ241111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-11-111-11-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ251111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11-1-1i−i−iii−i−ii11ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ261111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11-1-1−iii−i−iii−i11−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ271111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-111-1-1-1i−i−iii−i−ii11ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ281111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-111-1-1-1−iii−i−iii−i11−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ291111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11111-1-11-111-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ301111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1111-111-11-1-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ311111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1111-1-11-111-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ321111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-111-111-11-1-11-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11
χ3322222222-12222-1-1-1-1-1-1-12222-1-1-1-1222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ3422222222-12222-1-1-1-1-1-1-12222-1-1-1-1222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000000000000000000000000
χ3522222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000
χ3622222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000011−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-122221111222222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-100001122-2-222-2-211-1-1-1-11111-1-1-1-111110000000000000000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-122221111222222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-1000011-2-222-2-222111111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111112222111111110000-1-12i2i−2i−2i−2i−2i2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111112222111111110000-1-1−2i−2i2i2i2i2i−2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000
χ412222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111122-2-2-1-1-1-111110000-1-12i−2i2i−2i2i−2i2i−2i11−i−iii−i−iii−i−iii−i−iii0000000000000000000000000000
χ422222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111122-2-2-1-1-1-111110000-1-1−2i2i−2i2i−2i2i−2i2i11ii−i−iii−i−iii−i−iii−i−i0000000000000000000000000000
χ432222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-2-2-2-2-22222-122-2-2-1-1-11111-1-1-1-11111-2-2221111-1-1-1-10000112-22-2-22-22-1-1-1-111-1-11111-1-111-1-10000000000000000000000000000
χ442222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-2-2-2-2-22222-122-2-2-1-1-11111-1-1-1-11111-2-2221111-1-1-1-1000011-22-222-22-2-1-111-1-111-1-1-1-111-1-1110000000000000000000000000000
χ452222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-22222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-1-1-1-111110000112i−2i−2i2i2i−2i−2i2i-1-1−i−iiiii−i−i−i−iiiii−i−i0000000000000000000000000000
χ462222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-22222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-1-1-1-11111000011−2i2i2i−2i−2i2i2i−2i-1-1ii−i−i−i−iiiii−i−i−i−iii0000000000000000000000000000
χ472222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-122-2-21111-1-1-1-10000-1-12-2-22-222-211-1-11111-1-111-1-1-1-1110000000000000000000000000000
χ482222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-122-2-21111-1-1-1-10000-1-1-222-22-2-221111-1-1-1-111-1-11111-1-10000000000000000000000000000
χ4922-2-22i2i−2i−2i200002-2-22i2i−2i−2i2-22-200002i2i−2i−2i2i2i−2i−2i22-2-2200002-2-22i2i−2i−2i0000000000002i2i−2i−2i22-2-2000000000000000000000000000000000000000000002i−2i2-200002-22i−2i0000
χ5022-2-22i2i−2i−2i200002-2-22i2i−2i−2i2-22-200002i2i−2i−2i2i2i−2i−2i22-2-2200002-2-22i2i−2i−2i0000000000002i2i−2i−2i22-2-200000000000000000000000000000000000000000000−2i2i-220000-22−2i2i0000
χ5122-2-22i2i−2i−2i200002-2-22i2i−2i−2i2-22-200002i2i−2i−2i−2i−2i2i2i-2-222200002-2-22i2i−2i−2i000000000000−2i−2i2i2i-2-222000000000000000000000000000000000000000000002-2−2i2i00002i−2i-220000
χ5222-2-22i2i−2i−2i200002-2-22i2i−2i−2i2-22-200002i2i−2i−2i−2i−2i2i2i-2-222200002-2-22i2i−2i−2i000000000000−2i−2i2i2i-2-22200000000000000000000000000000000000000000000-222i−2i0000−2i2i2-20000
χ5322-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i2-22-20000−2i−2i2i2i2i2i−2i−2i-2-222200002-2-2−2i−2i2i2i0000000000002i2i−2i−2i-2-222000000000000000000000000000000000000000000002-22i−2i0000−2i2i-220000
χ5422-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i2-22-20000−2i−2i2i2i2i2i−2i−2i-2-222200002-2-2−2i−2i2i2i0000000000002i2i−2i−2i-2-22200000000000000000000000000000000000000000000-22−2i2i00002i−2i2-20000
χ5522-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i2-22-20000−2i−2i2i2i−2i−2i2i2i22-2-2200002-2-2−2i−2i2i2i000000000000−2i−2i2i2i22-2-2000000000000000000000000000000000000000000002i−2i-220000-222i−2i0000
χ5622-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i2-22-20000−2i−2i2i2i−2i−2i2i2i22-2-2200002-2-2−2i−2i2i2i000000000000−2i−2i2i2i22-2-200000000000000000000000000000000000000000000−2i2i2-200002-2−2i2i0000
χ572-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-2-222-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i22-2-22i2i−2i−2i2-22i−2i2-22-22i−2i2i−2i00002-2000000002i−2i00000000000000000000000000000000000000000000
χ582-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-2-222-22i−2i2i−2i2i−2i-22-22−2i2i−2i2i22-22i−2i-22-22i−2i2i−2i22-2-22i2i−2i−2i-22−2i2i-22-22−2i2i−2i2i0000-2200000000−2i2i00000000000000000000000000000000000000000000
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χ1318-8-88-888-8-4000044-44-4-44-2-22200002-2-220000000010000-1-11-111-1−151515−1515−15−1515000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-888-8-4000044-44-4-44-2-22200002-2-220000000010000-1-11-111-115−15−1515−151515−15000000000000000000000000000000000000000000000000000000000000000000000000

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