Finite Group Databasebeta

← Group #12267371

Character table — Group #12267371

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222444444444444444444888822222222444444448888888888888888881616161622222222444444448888888888888888881616161655555555101010101010101020202020202020202020202020202020202040404040
order1222222222224444222222224444444444444451010101010101010101010202020201010101010101010202020202020202020202020202051010101010101010101010202020201010101010101010202020202020202020202020202022222222222244442222222244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11
χ7111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11
χ8111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1
χ911111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1
χ1011111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111
χ1111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111
χ1211111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-11
χ172222-2-2-2-222-2-200000000000000002i−2i2i−2i0000002222-2-2-2-222-2-200000000000000002i−2i2i−2i0000002222-2-2-2-222-2-200000000000000002i−2i2i−2i0000002222-2-2-2-222-2-200000000000000002i−2i2i−2i000000
χ182222-2-2-2-222-2-20000000000000000−2i2i−2i2i0000002222-2-2-2-222-2-20000000000000000−2i2i−2i2i0000002222-2-2-2-222-2-20000000000000000−2i2i−2i2i0000002222-2-2-2-222-2-20000000000000000−2i2i−2i2i000000
χ192222-2-2-2-2-2-22200000000000000002i−2i−2i2i0000002222-2-2-2-2-2-22200000000000000002i−2i−2i2i0000002222-2-2-2-2-2-22200000000000000002i−2i−2i2i0000002222-2-2-2-2-2-22200000000000000002i−2i−2i2i000000
χ202222-2-2-2-2-2-2220000000000000000−2i2i2i−2i0000002222-2-2-2-2-2-2220000000000000000−2i2i2i−2i0000002222-2-2-2-2-2-2220000000000000000−2i2i2i−2i0000002222-2-2-2-2-2-2220000000000000000−2i2i2i−2i000000
χ2122-2-222-2-22-22-20000000000002i−2i2i−2i000000000022-2-222-2-22-22-20000000000002i−2i2i−2i000000000022-2-222-2-22-22-20000000000002i−2i2i−2i000000000022-2-222-2-22-22-20000000000002i−2i2i−2i0000000000
χ2222-2-222-2-22-22-2000000000000−2i2i−2i2i000000000022-2-222-2-22-22-2000000000000−2i2i−2i2i000000000022-2-222-2-22-22-2000000000000−2i2i−2i2i000000000022-2-222-2-22-22-2000000000000−2i2i−2i2i0000000000
χ2322-2-222-2-2-22-220000000000002i−2i−2i2i000000000022-2-222-2-2-22-220000000000002i−2i−2i2i000000000022-2-222-2-2-22-220000000000002i−2i−2i2i000000000022-2-222-2-2-22-220000000000002i−2i−2i2i0000000000
χ2422-2-222-2-2-22-22000000000000−2i2i2i−2i000000000022-2-222-2-2-22-22000000000000−2i2i2i−2i000000000022-2-222-2-2-22-22000000000000−2i2i2i−2i000000000022-2-222-2-2-22-22000000000000−2i2i2i−2i0000000000
χ2522-2-2-2-2222-2-2222-2-200000000000000002-2000022-2-2-2-2222-2-2222-2-200000000000000002-2000022-2-2-2-2222-2-2222-2-200000000000000002-2000022-2-2-2-2222-2-2222-2-200000000000000002-20000
χ2622-2-2-2-2222-2-22-2-2220000000000000000-22000022-2-2-2-2222-2-22-2-2220000000000000000-22000022-2-2-2-2222-2-22-2-2220000000000000000-22000022-2-2-2-2222-2-22-2-2220000000000000000-220000
χ2722-2-2-2-222-222-222-2-20000000000000000-22000022-2-2-2-222-222-222-2-20000000000000000-22000022-2-2-2-222-222-222-2-20000000000000000-22000022-2-2-2-222-222-222-2-20000000000000000-220000
χ2822-2-2-2-222-222-2-2-22200000000000000002-2000022-2-2-2-222-222-2-2-22200000000000000002-2000022-2-2-2-222-222-2-2-22200000000000000002-2000022-2-2-2-222-222-2-2-22200000000000000002-20000
χ292-22-22-2-2200002-22-2002-2002-2000000000000002-22-22-2-2200002-22-2002-2002-2000000000000002-22-22-2-2200002-22-2002-2002-2000000000000002-22-22-2-2200002-22-2002-2002-200000000000000
χ302-22-22-2-2200002-22-200-2200-22000000000000002-22-22-2-2200002-22-200-2200-22000000000000002-22-22-2-2200002-22-200-2200-22000000000000002-22-22-2-2200002-22-200-2200-2200000000000000
χ312-22-22-2-220000-22-22002-200-22000000000000002-22-22-2-220000-22-22002-200-22000000000000002-22-22-2-220000-22-22002-200-22000000000000002-22-22-2-220000-22-22002-200-2200000000000000
χ322-22-22-2-220000-22-2200-22002-2000000000000002-22-22-2-220000-22-2200-22002-2000000000000002-22-22-2-220000-22-2200-22002-2000000000000002-22-22-2-220000-22-2200-22002-200000000000000
χ332-2-22-22-2200002-2-222-2002-200000000000000002-2-22-22-2200002-2-222-2002-200000000000000002-2-22-22-2200002-2-222-2002-200000000000000002-2-22-22-2200002-2-222-2002-20000000000000000
χ342-2-22-22-2200002-2-22-2200-2200000000000000002-2-22-22-2200002-2-22-2200-2200000000000000002-2-22-22-2200002-2-22-2200-2200000000000000002-2-22-22-2200002-2-22-2200-220000000000000000
χ352-2-22-22-220000-222-22-200-2200000000000000002-2-22-22-220000-222-22-200-2200000000000000002-2-22-22-220000-222-22-200-2200000000000000002-2-22-22-220000-222-22-200-220000000000000000
χ362-2-22-22-220000-222-2-22002-200000000000000002-2-22-22-220000-222-2-22002-200000000000000002-2-22-22-220000-222-2-22002-200000000000000002-2-22-22-220000-222-2-22002-20000000000000000
χ374-44-4-444-40000000000000000000000000000004-44-4-444-40000000000000000000000000000004-44-4-444-40000000000000000000000000000004-44-4-444-4000000000000000000000000000000
χ384-4-444-44-40000000000000000000000000000004-4-444-44-40000000000000000000000000000004-4-444-44-40000000000000000000000000000004-4-444-44-4000000000000000000000000000000
χ39111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ40111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ411111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ421111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ43111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-11
χ44111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-11-1
χ45111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-11-1
χ46111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-11-11
χ4711111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111
χ4811111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1
χ4911111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1
χ5011111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ5111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-111-1
χ5211111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-11-1-11
χ5311111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11-1-11
χ5411111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-111-1
χ552222-2-2-2-222-2-200000000000000002i−2i2i−2i0000002222-2-2-2-222-2-200000000000000002i−2i2i−2i0000002222-2-2-2-222-2-200000000000000002i−2i2i−2i000000-2-2-2-22222-2-2220000000000000000−2i2i−2i2i000000
χ562222-2-2-2-222-2-20000000000000000−2i2i−2i2i0000002222-2-2-2-222-2-20000000000000000−2i2i−2i2i0000002222-2-2-2-222-2-20000000000000000−2i2i−2i2i000000-2-2-2-22222-2-22200000000000000002i−2i2i−2i000000
χ572222-2-2-2-2-2-22200000000000000002i−2i−2i2i0000002222-2-2-2-2-2-22200000000000000002i−2i−2i2i0000002222-2-2-2-2-2-22200000000000000002i−2i−2i2i000000-2-2-2-2222222-2-20000000000000000−2i2i2i−2i000000
χ582222-2-2-2-2-2-2220000000000000000−2i2i2i−2i0000002222-2-2-2-2-2-2220000000000000000−2i2i2i−2i0000002222-2-2-2-2-2-2220000000000000000−2i2i2i−2i000000-2-2-2-2222222-2-200000000000000002i−2i−2i2i000000
χ5922-2-222-2-22-22-20000000000002i−2i2i−2i000000000022-2-222-2-22-22-20000000000002i−2i2i−2i000000000022-2-222-2-22-22-20000000000002i−2i2i−2i0000000000-2-222-2-222-22-22000000000000−2i2i−2i2i0000000000
χ6022-2-222-2-22-22-2000000000000−2i2i−2i2i000000000022-2-222-2-22-22-2000000000000−2i2i−2i2i000000000022-2-222-2-22-22-2000000000000−2i2i−2i2i0000000000-2-222-2-222-22-220000000000002i−2i2i−2i0000000000
χ6122-2-222-2-2-22-220000000000002i−2i−2i2i000000000022-2-222-2-2-22-220000000000002i−2i−2i2i000000000022-2-222-2-2-22-220000000000002i−2i−2i2i0000000000-2-222-2-2222-22-2000000000000−2i2i2i−2i0000000000
χ6222-2-222-2-2-22-22000000000000−2i2i2i−2i000000000022-2-222-2-2-22-22000000000000−2i2i2i−2i000000000022-2-222-2-2-22-22000000000000−2i2i2i−2i0000000000-2-222-2-2222-22-20000000000002i−2i−2i2i0000000000
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χ1474-4-44-44-4400004-4-444-4004-40000000000000000−1−51+51+5−1−51+5−1−51+5−1−50000−1−51+51+5−1−5−1−51+500−1−51+50000000000000000−1+51−51−5−1+51−5−1+51−5−1+50000−1+51−51−5−1+5−1+51−500−1+51−5000000000000000000000000000000000000000000000000000000
χ1484-4-44-44-4400004-4-44-4400-440000000000000000−1−51+51+5−1−51+5−1−51+5−1−50000−1−51+51+5−1−51+5−1−5001+5−1−50000000000000000−1+51−51−5−1+51−5−1+51−5−1+50000−1+51−51−5−1+51−5−1+5001−5−1+5000000000000000000000000000000000000000000000000000000
χ1494-4-44-44-440000-444-44-400-440000000000000000−1−51+51+5−1−51+5−1−51+5−1−500001+5−1−5−1−51+5−1−51+5001+5−1−50000000000000000−1+51−51−5−1+51−5−1+51−5−1+500001−5−1+5−1+51−5−1+51−5001−5−1+5000000000000000000000000000000000000000000000000000000
χ1504-4-44-44-440000-444-4-44004-40000000000000000−1−51+51+5−1−51+5−1−51+5−1−500001+5−1−5−1−51+51+5−1−500−1−51+50000000000000000−1+51−51−5−1+51−5−1+51−5−1+500001−5−1+5−1+51−51−5−1+500−1+51−5000000000000000000000000000000000000000000000000000000
χ1518-88-8-888-8000000000000000000000000000000−2−252+25−2−252+252+25−2−25−2−252+25000000000000000000000000000000−2+252−25−2+252−252−25−2+25−2+252−2500000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-888-88-8000000000000000000000000000000−2−252+252+25−2−25−2−252+25−2−252+25000000000000000000000000000000−2+252−252−25−2+25−2+252−25−2+252−2500000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.