Finite Group Databasebeta

← Group #14294327

Character table — Group #14294327

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222224444444444444444444455555555666666668888888888888888101010101010101010101010121212121212121212121212121212122020202020202020202020202020202020202020202020202020202030303030303030306060606060606060
order1222222234444666666651010101010101012121212202020202020202044444444444444441530303030303030606060606060606044441212121212121212202020202020202020202020202020208888888812121212242424242424242424242424242424242222444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−iiiii
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiii−i−i−i−i
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iii
χ14111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i
χ15111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iiiii−i−i
χ16111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i−i−iii
χ17111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i11-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ18111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i11-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−iiii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-11−ii-11−ii
χ19111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i11-1-111-1-1-1-111−i−iii1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1-1-1-1-11111−i−i−i−iiiii1-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-11−ii-11−ii
χ20111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i11-1-111-1-1-1-111−i−iii1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1-1-1-1-11111−i−i−i−iiiii-11−ii-11−iiii−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iii1-1i−i1-1i−i
χ21111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-1111111-1-1-1-1iiii−i−i−i−ii−i-11−ii1-1−i−iiiii−i−i-1-111−i−iii11-1-1-1-111−i−iiii−i-11−ii1-1
χ22111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−ii1-1i−i-11−i−iii−i−iii11-1-1ii−i−i-1-111-1-111−i−iii−ii1-1i−i-11
χ23111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i-1-111-1-111-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111-1-1-1-11111−i−i−i−iiiiii−i-11−ii1-1−i−iiiii−i−i-1-111−i−iii11-1-111-1-1ii−i−i−ii1-1i−i-11
χ24111-1-11-1-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iiiii−i−i−i−i-1-111-1-111-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111-1-1-1-11111−i−i−i−iiiii−ii1-1i−i-11−i−iii−i−iii11-1-1ii−i−i-1-11111-1-1ii−i−ii−i-11−ii1-1
χ25111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii11-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ26111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii11-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-11i−i-11i−i
χ27111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1-1-1-1-11111iiii−i−i−i−i1-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii-1-111ii−i−i-11i−i-11i−i
χ28111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1-1-1-1-11111iiii−i−i−i−i-11i−i-11i−i−i−iii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i1-1−ii1-1−ii
χ29111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii-1-111-1-11111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-1111111-1-1-1-1−i−i−i−iiiiii−i1-1−ii-11ii−i−iii−i−i11-1-1−i−iii-1-111-1-111ii−i−ii−i1-1−ii-11
χ30111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii-1-111-1-11111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−ii-11i−i1-1ii−i−i−i−iii-1-111ii−i−i11-1-1-1-111ii−i−i−ii-11i−i1-1
χ31111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii-1-111-1-111-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111-1-1-1-11111iiii−i−i−i−ii−i1-1−ii-11ii−i−iii−i−i11-1-1−i−iii-1-11111-1-1−i−iii−ii-11i−i1-1
χ32111-1-11-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−i−i−iiiii-1-111-1-111-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111-1-1-1-11111iiii−i−i−i−i−ii-11i−i1-1ii−i−i−i−iii-1-111ii−i−i11-1-111-1-1−i−iiii−i1-1−ii-11
χ3322222222-12222-1-1-1-1-1-1-122222222-1-1-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3422222222-12222-1-1-1-1-1-1-122222222-1-1-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ3522222222-12222-1-1-1-1-1-1-122222222-1-1-1-122222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000002i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ3622222222-12222-1-1-1-1-1-1-122222222-1-1-1-122222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-22222222200000000-1-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-1000000000000000022-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-22222222200000000-1-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-10000000000000000-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-11111111122221111111100000000000000002i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1111111112222111111110000000000000000−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ41222-2-22-2-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii2i2i2i2i−2i−2i−2i−2i22-2-222-2-200000000-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i-1-111-1-11100000000000000002-22i−2i2-22i−2i−i−iii-1-111−i−iii-1-111−i−iii0000000000000000
χ42222-2-22-2-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii2i2i2i2i−2i−2i−2i−2i22-2-222-2-200000000-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i-1-111-1-1110000000000000000-22−2i2i-22−2i2i−i−iii11-1-1ii−i−i11-1-1ii−i−i0000000000000000
χ43222-2-22-2-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii2i2i2i2i−2i−2i−2i−2i-2-222-2-22200000000-1-1-1-11111−i−i−i−iiiii−2i−2i2i2i11-1-111-1-100000000000000002i−2i-22−2i2i2-2ii−i−i−i−iii11-1-1ii−i−i-1-1110000000000000000
χ44222-2-22-2-2-12i2i−2i−2i-1-1111-11222-2-2-22-2−i−iii2i2i2i2i−2i−2i−2i−2i-2-222-2-22200000000-1-1-1-11111−i−i−i−iiiii−2i−2i2i2i11-1-111-1-10000000000000000−2i2i2-22i−2i-22ii−i−iii−i−i-1-111−i−iii11-1-10000000000000000
χ45222-2-22-2-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i−2i−2i−2i−2i2i2i2i2i22-2-222-2-200000000-1-1-1-11111iiii−i−i−i−i−2i−2i2i2i-1-111-1-11100000000000000002-2−2i2i2-2−2i2iii−i−i-1-111ii−i−i-1-111ii−i−i0000000000000000
χ46222-2-22-2-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i−2i−2i−2i−2i2i2i2i2i22-2-222-2-200000000-1-1-1-11111iiii−i−i−i−i−2i−2i2i2i-1-111-1-1110000000000000000-222i−2i-222i−2iii−i−i11-1-1−i−iii11-1-1−i−iii0000000000000000
χ47222-2-22-2-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i−2i−2i−2i−2i2i2i2i2i-2-222-2-22200000000-1-1-1-11111iiii−i−i−i−i2i2i−2i−2i11-1-111-1-100000000000000002i−2i2-2−2i2i-22−i−iii−i−iii-1-111ii−i−i11-1-10000000000000000
χ48222-2-22-2-2-1−2i−2i2i2i-1-1111-11222-2-2-22-2ii−i−i−2i−2i−2i−2i2i2i2i2i-2-222-2-22200000000-1-1-1-11111iiii−i−i−i−i2i2i−2i−2i11-1-111-1-10000000000000000−2i2i-222i−2i2-2−i−iiiii−i−i11-1-1−i−iii-1-1110000000000000000
χ4922-22-2-22-2200002-22-2-2-2222-22-2-2-220000000000002i−2i2i−2i2i−2i2i−2i00002-22-222-2-222-2-20000000000002i−2i2i−2i2i−2i2i−2i0000000022-2-222-2-2000000000000000000000000000000002i−2i2i−2i00000000
χ5022-22-2-22-2200002-22-2-2-2222-22-2-2-220000000000002i−2i2i−2i2i−2i2i−2i0000-22-2222-2-222-2-20000000000002i−2i2i−2i2i−2i2i−2i00000000-2-222-2-22200000000000000000000000000000000−2i2i−2i2i00000000
χ5122-22-2-22-2200002-22-2-2-2222-22-2-2-22000000000000−2i2i−2i2i−2i2i−2i2i00002-22-222-2-222-2-2000000000000−2i2i−2i2i−2i2i−2i2i0000000022-2-222-2-200000000000000000000000000000000−2i2i−2i2i00000000
χ5222-22-2-22-2200002-22-2-2-2222-22-2-2-22000000000000−2i2i−2i2i−2i2i−2i2i0000-22-2222-2-222-2-2000000000000−2i2i−2i2i−2i2i−2i2i00000000-2-222-2-222000000000000000000000000000000002i−2i2i−2i00000000
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χ1418-8-8888-8-8-4000044-4-44-44-222-2-22-220000−2i52i52i5−2i5−2i52i52i5−2i500000000000000001-1-111-11-1i5−i5−i5i5i5−i5−i5i5000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-8888-8-8-4000044-4-44-44-222-2-22-2200002i5−2i5−2i52i52i5−2i5−2i52i500000000000000001-1-111-11-1−i5i5i5−i5−i5i5i5−i5000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8-8-8888-400004444-4-4-4-22222-2-2-20000−252525−2525−25−252500000000000000001-1-11-11-115−5−55−555−5000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8-8888-400004444-4-4-4-22222-2-2-2000025−25−2525−252525−2500000000000000001-1-11-11-11−555−55−5−55000000000000000000000000000000000000000000000000000000000000000000000000

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