Finite Group Databasebeta

← Group #12265576

Character table — Group #12265576

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size111111111111111144444444444444444444444444442222222222222222888888888888888888888888888822222222222222228888888888888888888888888888555555555555555520202020202020202020202020202020202020202020202020202020
order1222222244444444444444444444444444444444444451010101010101020202020202020202020202020202020202020202020202020202020202020202020202051010101010101020202020202020202020202020202020202020202020202020202020202020202020202022222222444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222-2-2-2-22222-2-2-2-200002-22-2000000000000000000002222-2-2-2-22222-2-2-2-200002-22-2000000000000000000002222-2-2-2-22222-2-2-2-200002-22-2000000000000000000002222-2-2-2-22222-2-2-2-200002-22-200000000000000000000
χ182222-2-2-2-22222-2-2-2-20000-22-22000000000000000000002222-2-2-2-22222-2-2-2-20000-22-22000000000000000000002222-2-2-2-22222-2-2-2-20000-22-22000000000000000000002222-2-2-2-22222-2-2-2-20000-22-2200000000000000000000
χ192222-2-2-2-2-2-2-2-2222200002-2-22000000000000000000002222-2-2-2-2-2-2-2-2222200002-2-22000000000000000000002222-2-2-2-2-2-2-2-2222200002-2-22000000000000000000002222-2-2-2-2-2-2-2-2222200002-2-2200000000000000000000
χ202222-2-2-2-2-2-2-2-222220000-222-2000000000000000000002222-2-2-2-2-2-2-2-222220000-222-2000000000000000000002222-2-2-2-2-2-2-2-222220000-222-2000000000000000000002222-2-2-2-2-2-2-2-222220000-222-200000000000000000000
χ2122-2-222-2-222-2-222-2-22-22-200000000000000000000000022-2-222-2-222-2-222-2-22-22-200000000000000000000000022-2-222-2-222-2-222-2-22-22-200000000000000000000000022-2-222-2-222-2-222-2-22-22-2000000000000000000000000
χ2222-2-222-2-222-2-222-2-2-22-2200000000000000000000000022-2-222-2-222-2-222-2-2-22-2200000000000000000000000022-2-222-2-222-2-222-2-2-22-2200000000000000000000000022-2-222-2-222-2-222-2-2-22-22000000000000000000000000
χ2322-2-222-2-2-2-222-2-2222-2-2200000000000000000000000022-2-222-2-2-2-222-2-2222-2-2200000000000000000000000022-2-222-2-2-2-222-2-2222-2-2200000000000000000000000022-2-222-2-2-2-222-2-2222-2-22000000000000000000000000
χ2422-2-222-2-2-2-222-2-222-222-200000000000000000000000022-2-222-2-2-2-222-2-222-222-200000000000000000000000022-2-222-2-2-2-222-2-222-222-200000000000000000000000022-2-222-2-2-2-222-2-222-222-2000000000000000000000000
χ2522-2-2-2-22222-2-2-2-222000000002-22-2000000000000000022-2-2-2-22222-2-2-2-222000000002-22-2000000000000000022-2-2-2-22222-2-2-2-222000000002-22-2000000000000000022-2-2-2-22222-2-2-2-222000000002-22-20000000000000000
χ2622-2-2-2-22222-2-2-2-22200000000-22-22000000000000000022-2-2-2-22222-2-2-2-22200000000-22-22000000000000000022-2-2-2-22222-2-2-2-22200000000-22-22000000000000000022-2-2-2-22222-2-2-2-22200000000-22-220000000000000000
χ2722-2-2-2-222-2-22222-2-2000000002-2-22000000000000000022-2-2-2-222-2-22222-2-2000000002-2-22000000000000000022-2-2-2-222-2-22222-2-2000000002-2-22000000000000000022-2-2-2-222-2-22222-2-2000000002-2-220000000000000000
χ2822-2-2-2-222-2-22222-2-200000000-222-2000000000000000022-2-2-2-222-2-22222-2-200000000-222-2000000000000000022-2-2-2-222-2-22222-2-200000000-222-2000000000000000022-2-2-2-222-2-22222-2-200000000-222-20000000000000000
χ292-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2-2
χ302-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2i2i-222-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2i2i-222-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2i2i-222-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2i2i-22
χ312-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002i−2i-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002i−2i-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002i−2i-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002i−2i-22
χ322-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i2-2
χ332-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000002-22i−2i000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000002-22i−2i000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000002-22i−2i000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000002-22i−2i00000000
χ342-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000000000-22−2i2i000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000000000-22−2i2i000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000000000-22−2i2i000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000000000-22−2i2i00000000
χ352-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000002-2−2i2i000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000002-2−2i2i000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000002-2−2i2i000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000002-2−2i2i00000000
χ362-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000-222i−2i000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000-222i−2i000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000-222i−2i000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000-222i−2i00000000
χ372-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000002-22i−2i00002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000002-22i−2i00002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000002-22i−2i00002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000002-22i−2i0000
χ382-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000-22−2i2i00002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000-22−2i2i00002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000-22−2i2i00002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000-22−2i2i0000
χ392-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000002-2−2i2i00002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000002-2−2i2i00002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000002-2−2i2i00002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000002-2−2i2i0000
χ402-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000-222i−2i00002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000-222i−2i00002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000-222i−2i00002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000-222i−2i0000
χ412-2-22-222-22i−2i−2i2i−2i2i2i−2i0000000000002-22i−2i0000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i0000000000002-22i−2i0000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i0000000000002-22i−2i0000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i0000000000002-22i−2i000000000000
χ422-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000-22−2i2i0000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000-22−2i2i0000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000-22−2i2i0000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000-22−2i2i000000000000
χ432-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000000000002-2−2i2i0000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000000000002-2−2i2i0000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000000000002-2−2i2i0000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000000000002-2−2i2i000000000000
χ442-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000-222i−2i0000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000-222i−2i0000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000-222i−2i0000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000-222i−2i000000000000
χ45111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ461111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ4711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ491111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ501111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ511111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
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χ5311111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.