Finite Group Databasebeta

← Group #72253958

Character table — Group #72253958

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size111111112222222222222222222222222222444444444444444444444444888888888888888888888888888888888888121212121212121212121212121212121212121212121212161616161616161616161616161616161616161624242424242424242424242448484848
order1222444422222222223444444444466612121212224466666666661212121212121212121222444444444444446612121212121212121212121212121212121222222222222244444444444444446612121212121212121212121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1
χ8111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111
χ9111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ10111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111
χ11111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1111111-1-111-1-1
χ12111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111
χ13111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ14111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ15111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ16111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ171111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-11-111-1-11-111-1-111-1-11-11-111-1-11-11-11-11-1
χ181111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11-11-111-1-11-111-1-111-1-1-11-11-1-111-11-11-11-11
χ191111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-111-111-1-11-1-1-111-1-111-11-11-1-111-11-111-11-1
χ201111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-11-111-111-1-11-1-1-111-1-1111-11-111-1-11-11-1-11-11
χ211111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-1-111-11-1-111-1-1111-1-11-1-1111-1-11-11-11
χ221111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-11-11-1-111-11-1-111-1-111-111-111-1-1-111-11-11-1
χ231111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-111-1111-1-111-1-1-111-111-1-1-111-1-11-11
χ241111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-11-11-1-11-1-111-1111-1-111-1-11-1-11-1-1111-1-111-11-1
χ251111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-111-1-1-1111-111-1-1-1-111-111-1-1-111-111-11-1-11
χ261111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1-111-1-1-1111-111-1-1-1-1111-1-1111-1-11-1-11-111-1
χ271111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-111-11-1-1-1111-1-1-11111-1-11-1-1111-1-11-1-111-1-11
χ281111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-111-11-1-1-1111-1-1-11111-1-1-111-1-1-111-111-1-111-1
χ291111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1111-1-1-11-1-11111-1-1-11-1111-1-1-11-11-111-1
χ301111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111-111-1-1111-1-1-11-1-11111-1-11-11-1-1-1111-11-11-1-11
χ311111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-11111-1111-1-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-11-1111-1-1-1111-1-1-1-1111-11-1-1-1111-11-1-111-1
χ321111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-11111-1111-1-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11-1-11-1111-1-1-1111-1-1-1-111-11-1111-1-1-11-111-1-11
χ33222222222222222222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222222222222222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000000000000000000000000-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ35222222222222222222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-211111111111111110000000000000000
χ36222222222222222222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000000000000000000000000222211111111-1-1-1-1-1-1-1-10000000000000000
χ372222222222222-2-22-2-2222-2-2-2-222222222222-2-2-2-22-2-22222-2-2222-2-2-2-222220000000000000000-2-2-2-200000000000000000000000022-2-200000000-2-222000000000000000000002-2000000-22000000
χ382222222222222-2-22-2-2222-2-2-2-222222222222-2-2-2-22-2-22222-2-2222-2-2-2-222220000000000000000-2-2-2-2000000000000000000000000-2-2220000000022-2-200000000000000000000-220000002-2000000
χ39222222222-2-2-2-222222-1222222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111122-2-2-2-2222222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-2-1-11111-1-1-1-1-1-111110000000000000000
χ40222222222-2-2-2-222222-1222222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111122-2-2-2-222-2-2-2-22222111111111111-1-1-1-1-1-1-1-1000000000000000000000000-2-222-1-11111-1-11111-1-1-1-10000000000000000
χ41222222222-2-2-2-222222-1222222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111-2-22222-2-22222-2-2-2-21111-1-1-1-1-1-1-1-111111111000000000000000000000000-2-22211-1-1-1-1111111-1-1-1-10000000000000000
χ42222222222-2-2-2-222222-1222222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111-2-22222-2-2-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000000000000000000022-2-211-1-1-1-111-1-1-1-111110000000000000000
χ43222222222-2-2-2-2-2-22-2-2222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000222200000000000000000000000022-2-200000000-2-22200000000000000000000-220000002-2000000
χ44222222222-2-2-2-2-2-22-2-2222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000-2-2220000000022-2-2000000000000000000002-2000000-22000000
χ4522222222-222-2-222-2-2-22-2-222-2-222-2-222222222-22-2-2-2-222-2-222-2-2-222-2-222-2-200000000000000002-22-2000000000000000000000000000000000000000000000000000000000000002-22-22-200-220000
χ4622222222-222-2-222-2-2-22-2-222-2-222-2-222222222-22-2-2-2-222-2-222-2-2-222-2-222-2-200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000-22-22-22002-20000
χ4722222222-222-2-2-2-2-2222-2-2-2-22222-2-22222222-22-22-22222-2-2-2-2-2-2-2-2-22222-2-22-22-22-2-2200000000-22-22000000000000000000000000000000000000000000002-22-22-2-22000000000000000000000000
χ4822222222-222-2-2-2-2-2222-2-2-2-22222-2-22222222-22-22-22222-2-2-2-2-2-2-2-2-22222-2-2-22-22-222-200000000-22-2200000000000000000000000000000000000000000000-22-22-222-2000000000000000000000000
χ4922222222-222-2-2-2-2-222-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-22-221-1-1-1-1111111111-1-1-1-1112-22-22-2-22000000001-11-133−3−333−3−333−3−333−3−30000000000000000000000000000-11-11-111-13−33−33−33−30000000000000000
χ5022222222-222-2-2-2-2-222-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-22-221-1-1-1-1111111111-1-1-1-1112-22-22-2-22000000001-11-1−3−333−3−333−3−333−3−3330000000000000000000000000000-11-11-111-1−33−33−33−330000000000000000
χ5122222222-222-2-2-2-2-222-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-22-221-1-1-1-1111111111-1-1-1-111-22-22-222-2000000001-11-133−3−333−3−333−3−333−3−300000000000000000000000000001-11-11-1-11−33−33−33−330000000000000000
χ5222222222-222-2-2-2-2-222-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-22-221-1-1-1-1111111111-1-1-1-111-22-22-222-2000000001-11-1−3−333−3−333−3−333−3−33300000000000000000000000000001-11-11-1-113−33−33−33−30000000000000000
χ5322222222-2-2-22222-2-2-22-2-222-2-2-2-2222222222-22-22-2-2-2-2-22222-2-2-222-2-2-2-2220000000000000000-22-22000000000000000000000000000000000000000000000000000000000000002-2-22-2200-220000
χ5422222222-2-2-22222-2-2-22-2-222-2-2-2-2222222222-22-22-2-2-2-2-22222-2-2-222-2-2-2-2220000000000000000-22-2200000000000000000000000000000000000000000000000000000000000000-222-22-2002-20000
χ5522222222-2-2-222-2-2-2222-2-2-2-222-2-22222222222-22-2-222-2-222-2-2-2-2-2-2-222-2-2222-2-22-22-22000000002-22-2000000000000000000000000000000000000000000002-2-22-22-22000000000000000000000000
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χ1454-4-44-4-444-400004-444-4-2-44-44-44000022-222-2-200002-220000-22-22-22-22-200000000000000004-4-44000000000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ1464-4-44-4-444-400004-444-4-2-44-44-44000022-222-2-200002-220000-22-22-22-22-20000000000000000-444-40000000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ1474-4-44-4-444-40000-444-44-2-444-44-4000022-222-2-2000022-200002-2-22-2-22-220000000000004-4-4400000000-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1484-4-44-4-444-40000-444-44-2-444-44-4000022-222-2-2000022-200002-2-22-2-22-22000000000000-444-4000000002-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ14988-8-88i−8i8i−8i0008-800000-4000000008i−8i-444−4i4i−4i4i000000000-4400000000000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15088-8-88i−8i8i−8i000-8800000-400000000−8i8i-444−4i4i−4i4i0000000004-4000000000004i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15188-8-8−8i8i−8i8i0008-800000-400000000−8i8i-4444i−4i4i−4i000000000-44000000000004i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8−8i8i−8i8i000-8800000-4000000008i−8i-4444i−4i4i−4i0000000004-400000000000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-88-88i−8i−8i8i08-80000000-40000008i−8i004-44−4i4i4i−4i0000000-4400000000000−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-88i−8i−8i8i0-880000000-4000000−8i8i004-44−4i4i4i−4i00000004-4000000000004i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-88-8−8i8i8i−8i08-80000000-4000000−8i8i004-444i−4i−4i4i0000000-44000000000004i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-88-8−8i8i8i−8i0-880000000-40000008i−8i004-444i−4i−4i4i00000004-400000000000−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).