Finite Group Databasebeta

← Group #12271116

Character table — Group #12271116

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222444444444444444444888822222222444444448888888888888888881616161622222222444444448888888888888888881616161655555555101010101010101020202020202020202020202020202020202040404040
order1222222244444444444444444444444444444451010101010101020202020202020202020202020202020202020202020202020202020202051010101010101020202020202020202020202020202020202020202020202020202020202022222222444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ6111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ911111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-1
χ1011111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-11
χ1111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ17222-2-22-2-222-2-20000002-22-20000000000000000222-2-22-2-222-2-20000002-22-20000000000000000222-2-22-2-222-2-20000002-22-20000000000000000222-2-22-2-222-2-20000002-22-20000000000000000
χ18222-2-22-2-222-2-2000000-22-220000000000000000222-2-22-2-222-2-2000000-22-220000000000000000222-2-22-2-222-2-2000000-22-220000000000000000222-2-22-2-222-2-2000000-22-220000000000000000
χ19222-2-22-2-2-2-2220000002-2-220000000000000000222-2-22-2-2-2-2220000002-2-220000000000000000222-2-22-2-2-2-2220000002-2-220000000000000000222-2-22-2-2-2-2220000002-2-220000000000000000
χ20222-2-22-2-2-2-222000000-222-20000000000000000222-2-22-2-2-2-222000000-222-20000000000000000222-2-22-2-2-2-222000000-222-20000000000000000222-2-22-2-2-2-222000000-222-20000000000000000
χ2122-22-2-2-22000022-2-200000000002i−2i2i−2i0000000022-22-2-2-22000022-2-200000000002i−2i2i−2i0000000022-22-2-2-22000022-2-200000000002i−2i2i−2i0000000022-22-2-2-22000022-2-200000000002i−2i2i−2i00000000
χ2222-22-2-2-22000022-2-20000000000−2i2i−2i2i0000000022-22-2-2-22000022-2-20000000000−2i2i−2i2i0000000022-22-2-2-22000022-2-20000000000−2i2i−2i2i0000000022-22-2-2-22000022-2-20000000000−2i2i−2i2i00000000
χ2322-22-2-2-220000-2-22200000000002i−2i−2i2i0000000022-22-2-2-220000-2-22200000000002i−2i−2i2i0000000022-22-2-2-220000-2-22200000000002i−2i−2i2i0000000022-22-2-2-220000-2-22200000000002i−2i−2i2i00000000
χ2422-22-2-2-220000-2-2220000000000−2i2i2i−2i0000000022-22-2-2-220000-2-2220000000000−2i2i2i−2i0000000022-22-2-2-220000-2-2220000000000−2i2i2i−2i0000000022-22-2-2-220000-2-2220000000000−2i2i2i−2i00000000
χ252-2222-2-2-22-22-22-22-22-2000000000000000000002-2222-2-2-22-22-22-22-22-2000000000000000000002-2222-2-2-22-22-22-22-22-2000000000000000000002-2222-2-2-22-22-22-22-22-200000000000000000000
χ262-2222-2-2-22-22-2-22-22-22000000000000000000002-2222-2-2-22-22-2-22-22-22000000000000000000002-2222-2-2-22-22-2-22-22-22000000000000000000002-2222-2-2-22-22-2-22-22-2200000000000000000000
χ272-2222-2-2-2-22-222-22-2-22000000000000000000002-2222-2-2-2-22-222-22-2-22000000000000000000002-2222-2-2-2-22-222-22-2-22000000000000000000002-2222-2-2-2-22-222-22-2-2200000000000000000000
χ282-2222-2-2-2-22-22-22-222-2000000000000000000002-2222-2-2-2-22-22-22-222-2000000000000000000002-2222-2-2-2-22-22-22-222-2000000000000000000002-2222-2-2-2-22-22-22-222-200000000000000000000
χ292-22-2-2-2222-2-2200000000002-22-20000000000002-22-2-2-2222-2-2200000000002-22-20000000000002-22-2-2-2222-2-2200000000002-22-20000000000002-22-2-2-2222-2-2200000000002-22-2000000000000
χ302-22-2-2-2222-2-220000000000-22-220000000000002-22-2-2-2222-2-220000000000-22-220000000000002-22-2-2-2222-2-220000000000-22-220000000000002-22-2-2-2222-2-220000000000-22-22000000000000
χ312-22-2-2-222-222-200000000002-2-220000000000002-22-2-2-222-222-200000000002-2-220000000000002-22-2-2-222-222-200000000002-2-220000000000002-22-2-2-222-222-200000000002-2-22000000000000
χ322-22-2-2-222-222-20000000000-222-20000000000002-22-2-2-222-222-20000000000-222-20000000000002-22-2-2-222-222-20000000000-222-20000000000002-22-2-2-222-222-20000000000-222-2000000000000
χ332-2-22-222-200002-2-22000000000000002i−2i2i−2i00002-2-22-222-200002-2-22000000000000002i−2i2i−2i00002-2-22-222-200002-2-22000000000000002i−2i2i−2i00002-2-22-222-200002-2-22000000000000002i−2i2i−2i0000
χ342-2-22-222-200002-2-2200000000000000−2i2i−2i2i00002-2-22-222-200002-2-2200000000000000−2i2i−2i2i00002-2-22-222-200002-2-2200000000000000−2i2i−2i2i00002-2-22-222-200002-2-2200000000000000−2i2i−2i2i0000
χ352-2-22-222-20000-222-2000000000000002i−2i−2i2i00002-2-22-222-20000-222-2000000000000002i−2i−2i2i00002-2-22-222-20000-222-2000000000000002i−2i−2i2i00002-2-22-222-20000-222-2000000000000002i−2i−2i2i0000
χ362-2-22-222-20000-222-200000000000000−2i2i2i−2i00002-2-22-222-20000-222-200000000000000−2i2i2i−2i00002-2-22-222-20000-222-200000000000000−2i2i2i−2i00002-2-22-222-20000-222-200000000000000−2i2i2i−2i0000
χ3744-4-44-44-400000000000000000000000000000044-4-44-44-400000000000000000000000000000044-4-44-44-400000000000000000000000000000044-4-44-44-4000000000000000000000000000000
χ384-4-4-444-440000000000000000000000000000004-4-4-444-440000000000000000000000000000004-4-4-444-440000000000000000000000000000004-4-4-444-44000000000000000000000000000000
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
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ41111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ42111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ43111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111
χ44111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-1
χ45111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1
χ46111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111
χ4711111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-11-11
χ4811111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11-11-1
χ4911111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111-11-1
χ5011111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11
χ5111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-111-1
χ5211111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ5311111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-11-1-11
χ5411111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-111-1
χ55222-2-22-2-222-2-20000002-22-20000000000000000222-2-22-2-222-2-20000002-22-20000000000000000222-2-22-2-222-2-20000002-22-20000000000000000-2-2-222-222-2-222000000-22-220000000000000000
χ56222-2-22-2-222-2-2000000-22-220000000000000000222-2-22-2-222-2-2000000-22-220000000000000000222-2-22-2-222-2-2000000-22-220000000000000000-2-2-222-222-2-2220000002-22-20000000000000000
χ57222-2-22-2-2-2-2220000002-2-220000000000000000222-2-22-2-2-2-2220000002-2-220000000000000000222-2-22-2-2-2-2220000002-2-220000000000000000-2-2-222-22222-2-2000000-222-20000000000000000
χ58222-2-22-2-2-2-222000000-222-20000000000000000222-2-22-2-2-2-222000000-222-20000000000000000222-2-22-2-2-2-222000000-222-20000000000000000-2-2-222-22222-2-20000002-2-220000000000000000
χ5922-22-2-2-22000022-2-200000000002i−2i2i−2i0000000022-22-2-2-22000022-2-200000000002i−2i2i−2i0000000022-22-2-2-22000022-2-200000000002i−2i2i−2i00000000-2-22-2222-20000-2-2220000000000−2i2i−2i2i00000000
χ6022-22-2-2-22000022-2-20000000000−2i2i−2i2i0000000022-22-2-2-22000022-2-20000000000−2i2i−2i2i0000000022-22-2-2-22000022-2-20000000000−2i2i−2i2i00000000-2-22-2222-20000-2-22200000000002i−2i2i−2i00000000
χ6122-22-2-2-220000-2-22200000000002i−2i−2i2i0000000022-22-2-2-220000-2-22200000000002i−2i−2i2i0000000022-22-2-2-220000-2-22200000000002i−2i−2i2i00000000-2-22-2222-2000022-2-20000000000−2i2i2i−2i00000000
χ6222-22-2-2-220000-2-2220000000000−2i2i2i−2i0000000022-22-2-2-220000-2-2220000000000−2i2i2i−2i0000000022-22-2-2-220000-2-2220000000000−2i2i2i−2i00000000-2-22-2222-2000022-2-200000000002i−2i−2i2i00000000
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χ1464-44-4-4-444-444-40000000000-444-4000000000000−1−51+5−1−51+51+51+5−1−5−1−51+5−1−5−1−51+500000000001+5−1−5−1−51+5000000000000−1+51−5−1+51−51−51−5−1+5−1+51−5−1+5−1+51−500000000001−5−1+5−1+51−500000000000000000000000000000000000000000000000000
χ1474-4-44-444-400004-4-44000000000000004i−4i4i−4i0000−1−51+51+5−1−51+5−1−5−1−51+50000−1−51+51+5−1−500000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ70000−1+51−51−5−1+51−5−1+5−1+51−50000−1+51−51−5−1+500000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000
χ1484-4-44-444-400004-4-4400000000000000−4i4i−4i4i0000−1−51+51+5−1−51+5−1−5−1−51+50000−1−51+51+5−1−5000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ70000−1+51−51−5−1+51−5−1+5−1+51−50000−1+51−51−5−1+5000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000
χ1494-4-44-444-40000-444-4000000000000004i−4i−4i4i0000−1−51+51+5−1−51+5−1−5−1−51+500001+5−1−5−1−51+500000000000000−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000−1+51−51−5−1+51−5−1+5−1+51−500001−5−1+5−1+51−500000000000000−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000
χ1504-4-44-444-40000-444-400000000000000−4i4i4i−4i0000−1−51+51+5−1−51+5−1−5−1−51+500001+5−1−5−1−51+5000000000000002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000−1+51−51−5−1+51−5−1+5−1+51−500001−5−1+5−1+51−5000000000000002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000
χ15188-8-88-88-8000000000000000000000000000000−2−25−2−252+252+25−2−252+25−2−252+25000000000000000000000000000000−2+25−2+252−252−25−2+252−25−2+252−2500000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-8-888-88000000000000000000000000000000−2−252+252+252+25−2−25−2−252+25−2−25000000000000000000000000000000−2+252−252−252−25−2+25−2+252−25−2+2500000000000000000000000000000000000000000000000000000000000000000000

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