Finite Group Databasebeta

← Group #14280715

Character table — Group #14280715

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222244444444444444444444444444444444444444445555555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020303030303030303030303030303030306060606060606060
order1222444436668888121212124458810101012121212151520202020242424242424242430303030303060606060606060604444444420202020404040404040404060606060606060601201201201201201201201201201201201201201201201208888121212121212121224668812122424242424242424888888888888888888888888
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
χ511111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ12111111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111-1-1-1-11111ii−i−i-1-1-1-11-11i−i11111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-11-111i−i-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ181111-1-1-1-11111ii−i−i-1-1-1-11-11i−i11111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-11-111i−i-1-1ii−i−iii−i−i-1-111−i−iii-1-111−i−iii-11−ii-11−ii
χ191111-1-1-1-11111ii−i−i-1-1-1-11-11i−i11111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1-1-11111-11-1-1−ii11−i−iii−i−iiiii−i−i-1-111−i−iii11-1-1i−i-11−ii1-1
χ201111-1-1-1-11111ii−i−i-1-1-1-11-11i−i11111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1-1-11111-11-1-1−ii11−i−iii−i−iii−i−iii11-1-1ii−i−i-1-111−ii1-1i−i-11
χ211111-1-1-1-11111ii−i−i-1-1-1-1-111−ii111-1-11111-1-1-1-1ii−i−i−i−iii111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1111-1-1-1-1-11-1-1−ii11ii−i−i−i−iii11-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii
χ221111-1-1-1-11111ii−i−i-1-1-1-1-111−ii111-1-11111-1-1-1-1ii−i−i−i−iii111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1111-1-1-1-1-11-1-1−ii11ii−i−i−i−iii-1-111−i−iii-1-111−i−iii1-1i−i1-1i−i
χ231111-1-1-1-11111ii−i−i-1-1-1-1-111−ii111-1-11111-1-1-1-1ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-1-1-111111-111i−i-1-1−i−iiiii−i−iii−i−i-1-111−i−iii11-1-1−ii1-1i−i-11
χ241111-1-1-1-11111ii−i−i-1-1-1-1-111−ii111-1-11111-1-1-1-1ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-1-1-111111-111i−i-1-1−i−iiiii−i−i−i−iii11-1-1ii−i−i-1-111i−i-11−ii1-1
χ251111-1-1-1-11111−i−iii-1-1-1-11-11−ii11111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-11-111−ii-1-1−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ261111-1-1-1-11111−i−iii-1-1-1-11-11−ii11111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-11-111−ii-1-1−i−iii−i−iii-1-111ii−i−i-1-111ii−i−i-11i−i-11i−i
χ271111-1-1-1-11111−i−iii-1-1-1-11-11−ii11111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1-1-11111-11-1-1i−i11ii−i−iii−i−iii−i−i11-1-1−i−iii-1-111i−i1-1−ii-11
χ281111-1-1-1-11111−i−iii-1-1-1-11-11−ii11111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1-1-11111-11-1-1i−i11ii−i−iii−i−i−i−iii-1-111ii−i−i11-1-1−ii-11i−i1-1
χ291111-1-1-1-11111−i−iii-1-1-1-1-111i−i111-1-11111-1-1-1-1−i−iiiii−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1111-1-1-1-1-11-1-1i−i11−i−iiiii−i−i11-1-1−i−iii11-1-1−i−iii-11i−i-11i−i
χ301111-1-1-1-11111−i−iii-1-1-1-1-111i−i111-1-11111-1-1-1-1−i−iiiii−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1111-1-1-1-1-11-1-1i−i11−i−iiiii−i−i-1-111ii−i−i-1-111ii−i−i1-1−ii1-1−ii
χ311111-1-1-1-11111−i−iii-1-1-1-1-111i−i111-1-11111-1-1-1-1−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-1-1-111111-111−ii-1-1ii−i−i−i−iiiii−i−i11-1-1−i−iii-1-111−ii-11i−i1-1
χ321111-1-1-1-11111−i−iii-1-1-1-1-111i−i111-1-11111-1-1-1-1−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-1-1-111111-111−ii-1-1ii−i−i−i−iii−i−iii-1-111ii−i−i11-1-1i−i1-1−ii-11
χ3322222222-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222222-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211-2-21111111111000000000000000000000000
χ3522222222-1-1-1-12222-1-1-1-1-2-22-2-22221111-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-211-2-211-1-1-1-11111000000000000000000000000
χ3622222222-1-1-1-12222-1-1-1-1-2-22-2-22221111-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-21111111122-1-122-1-11111-1-1-1-1000000000000000000000000
χ3722222222-1-1-1-1-2-2-2-2-1-1-1-1222-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-1-1-1-1-1-1-1-122-1-1-2-2-1-111111111000000000000000000000000
χ3822222222-1-1-1-1-2-2-2-2-1-1-1-1222-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222211111111-2-2112211-1-1-1-1-1-1-1-1000000000000000000000000
χ3922222222-1-1-1-1-2-2-2-2-1-1-1-1-2-22222221111-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-21122111111-1-1-1-1000000000000000000000000
χ4022222222-1-1-1-1-2-2-2-2-1-1-1-1-2-22222221111-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122221111111122-1-1-2-2-1-1-1-1-1-11111000000000000000000000000
χ412222-2-2-2-2-1-1-1-12i2i−2i−2i11112-222i−2i222-1-111-1-1-2-2-2-2−i−iii−i−iii-1-1-1-1-1-1111111112222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii2i2i−2i−2i-1-1-1-111112-2-1-12i−2i11−i−iii−i−iii000000000000000000000000
χ422222-2-2-2-2-1-1-1-12i2i−2i−2i11112-222i−2i222-1-111-1-1-2-2-2-2−i−iii−i−iii-1-1-1-1-1-111111111-2-2-2-2222222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−2i−2i2i2i1111-1-1-1-1-2211−2i2i-1-1ii−i−iii−i−i000000000000000000000000
χ432222-2-2-2-2-1-1-1-12i2i−2i−2i1111-222−2i2i22211-1-1-1-1-2-2-2-2−i−iiiii−i−i-1-1-1-1-1-1111111112222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i2i2i−2i−2i-1-1-1-11111-2211−2i2i-1-1−i−iiiii−i−i000000000000000000000000
χ442222-2-2-2-2-1-1-1-12i2i−2i−2i1111-222−2i2i22211-1-1-1-1-2-2-2-2−i−iiiii−i−i-1-1-1-1-1-111111111-2-2-2-22222-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−2i−2i2i2i1111-1-1-1-12-2-1-12i−2i11ii−i−i−i−iii000000000000000000000000
χ452222-2-2-2-2-1-1-1-1−2i−2i2i2i11112-22−2i2i222-1-111-1-1-2-2-2-2ii−i−iii−i−i-1-1-1-1-1-1111111112222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−2i−2i2i2i-1-1-1-111112-2-1-1−2i2i11ii−i−iii−i−i000000000000000000000000
χ462222-2-2-2-2-1-1-1-1−2i−2i2i2i11112-22−2i2i222-1-111-1-1-2-2-2-2ii−i−iii−i−i-1-1-1-1-1-111111111-2-2-2-2222222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i2i2i−2i−2i1111-1-1-1-1-22112i−2i-1-1−i−iii−i−iii000000000000000000000000
χ472222-2-2-2-2-1-1-1-1−2i−2i2i2i1111-2222i−2i22211-1-1-1-1-2-2-2-2ii−i−i−i−iii-1-1-1-1-1-1111111112222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−2i−2i2i2i-1-1-1-11111-22112i−2i-1-1ii−i−i−i−iii000000000000000000000000
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χ1568-8-88−8i8i8i−8i-444-400004i−4i−4i4i00-20022-200001+i151−i152i−2i−2i2i00000000−1−i15−1+i15−1−i15−1+i151+i151−i15−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.