Finite Group Databasebeta

← Group #6629484

Character table — Group #6629484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222224444444444444444444444441616161616161616111111112222222222224444444444444444444444441616161616161616
order12222222444444444444224444448888888888888888444444442222222244444444444422444444888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1
χ911111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-11
χ1011111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-111-1
χ1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-111-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-111-1
χ1211111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-1-11
χ1311111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-222-2-222-2-200000000000000000000000022222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000022222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ2122-2-22-2-22000000002-22-22-200002-200002i2i−2i−2i00002i2i−2i−2i0000000022-2-22-2-22000000002-22-22-200002-200002i2i−2i−2i00002i2i−2i−2i00000000
χ2222-2-22-2-22000000002-22-22-200002-20000−2i−2i2i2i0000−2i−2i2i2i0000000022-2-22-2-22000000002-22-22-200002-20000−2i−2i2i2i0000−2i−2i2i2i00000000
χ2322-2-22-2-22000000002-22-2-220000-2200002i2i−2i−2i0000−2i−2i2i2i0000000022-2-22-2-22000000002-22-2-220000-2200002i2i−2i−2i0000−2i−2i2i2i00000000
χ2422-2-22-2-22000000002-22-2-220000-220000−2i−2i2i2i00002i2i−2i−2i0000000022-2-22-2-22000000002-22-2-220000-220000−2i−2i2i2i00002i2i−2i−2i00000000
χ2522-2-22-2-2200000000-22-222-20000-222i2i−2i−2i00002i2i−2i−2i00000000000022-2-22-2-2200000000-22-222-20000-222i2i−2i−2i00002i2i−2i−2i000000000000
χ2622-2-22-2-2200000000-22-222-20000-22−2i−2i2i2i0000−2i−2i2i2i00000000000022-2-22-2-2200000000-22-222-20000-22−2i−2i2i2i0000−2i−2i2i2i000000000000
χ2722-2-22-2-2200000000-22-22-2200002-22i2i−2i−2i0000−2i−2i2i2i00000000000022-2-22-2-2200000000-22-22-2200002-22i2i−2i−2i0000−2i−2i2i2i000000000000
χ2822-2-22-2-2200000000-22-22-2200002-2−2i−2i2i2i00002i2i−2i−2i00000000000022-2-22-2-2200000000-22-22-2200002-2−2i−2i2i2i00002i2i−2i−2i000000000000
χ292-222-2-2-222i2i−2i−2i2i2i−2i−2i2-2-22000000002i−2i2i−2i2-22-200000000000000002-222-2-2-222i2i−2i−2i2i2i−2i−2i2-2-22000000002i−2i2i−2i2-22-20000000000000000
χ302-222-2-2-222i2i−2i−2i2i2i−2i−2i2-2-2200000000−2i2i−2i2i-22-2200000000000000002-222-2-2-222i2i−2i−2i2i2i−2i−2i2-2-2200000000−2i2i−2i2i-22-220000000000000000
χ312-222-2-2-222i2i−2i−2i−2i−2i2i2i-222-200000000000000002-22-22i−2i2i−2i000000002-222-2-2-222i2i−2i−2i−2i−2i2i2i-222-200000000000000002-22-22i−2i2i−2i00000000
χ322-222-2-2-222i2i−2i−2i−2i−2i2i2i-222-20000000000000000-22-22−2i2i−2i2i000000002-222-2-2-222i2i−2i−2i−2i−2i2i2i-222-20000000000000000-22-22−2i2i−2i2i00000000
χ332-222-2-2-22−2i−2i2i2i2i2i−2i−2i-222-200000000000000002-22-2−2i2i−2i2i000000002-222-2-2-22−2i−2i2i2i2i2i−2i−2i-222-200000000000000002-22-2−2i2i−2i2i00000000
χ342-222-2-2-22−2i−2i2i2i2i2i−2i−2i-222-20000000000000000-22-222i−2i2i−2i000000002-222-2-2-22−2i−2i2i2i2i2i−2i−2i-222-20000000000000000-22-222i−2i2i−2i00000000
χ352-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-2-22000000002i−2i2i−2i-22-2200000000000000002-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-2-22000000002i−2i2i−2i-22-220000000000000000
χ362-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-2-2200000000−2i2i−2i2i2-22-200000000000000002-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-2-2200000000−2i2i−2i2i2-22-20000000000000000
χ372-2-2-2-22220000000022-2-2002-22-20000002i−2i−2i2i2i−2i−2i2i0000000000002-2-2-2-22220000000022-2-2002-22-20000002i−2i−2i2i2i−2i−2i2i000000000000
χ382-2-2-2-22220000000022-2-2002-22-2000000−2i2i2i−2i−2i2i2i−2i0000000000002-2-2-2-22220000000022-2-2002-22-2000000−2i2i2i−2i−2i2i2i−2i000000000000
χ392-2-2-2-22220000000022-2-200-22-220000002i−2i−2i2i−2i2i2i−2i0000000000002-2-2-2-22220000000022-2-200-22-220000002i−2i−2i2i−2i2i2i−2i000000000000
χ402-2-2-2-22220000000022-2-200-22-22000000−2i2i2i−2i2i−2i−2i2i0000000000002-2-2-2-22220000000022-2-200-22-22000000−2i2i2i−2i2i−2i−2i2i000000000000
χ412-2-2-2-222200000000-2-222002-2-22002-2-2200000000-222-2000000002-2-2-2-222200000000-2-222002-2-22002-2-2200000000-222-200000000
χ422-2-2-2-222200000000-2-222002-2-2200-222-2000000002-2-22000000002-2-2-2-222200000000-2-222002-2-2200-222-2000000002-2-2200000000
χ432-2-2-2-222200000000-2-22200-222-2002-2-22000000002-2-22000000002-2-2-2-222200000000-2-22200-222-2002-2-22000000002-2-2200000000
χ442-2-2-2-222200000000-2-22200-222-200-222-200000000-222-2000000002-2-2-2-222200000000-2-22200-222-200-222-200000000-222-200000000
χ45444-4-44-4-400004-44-4000000000000000000000000000000000000444-4-44-4-400004-44-4000000000000000000000000000000000000
χ46444-4-44-4-40000-44-44000000000000000000000000000000000000444-4-44-4-40000-44-44000000000000000000000000000000000000
χ4744-44-4-44-44-44-4000000000000000000000000000000000000000044-44-4-44-44-44-40000000000000000000000000000000000000000
χ4844-44-4-44-4-44-44000000000000000000000000000000000000000044-44-4-44-4-44-440000000000000000000000000000000000000000
χ494-44-44-44-400004i−4i−4i4i0000000000000000000000000000000000004-44-44-44-400004i−4i−4i4i000000000000000000000000000000000000
χ504-44-44-44-40000−4i4i4i−4i0000000000000000000000000000000000004-44-44-44-40000−4i4i4i−4i000000000000000000000000000000000000
χ514-4-4444-4-44i−4i−4i4i00000000000000000000000000000000000000004-4-4444-4-44i−4i−4i4i0000000000000000000000000000000000000000
χ524-4-4444-4-4−4i4i4i−4i00000000000000000000000000000000000000004-4-4444-4-4−4i4i4i−4i0000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-11-11
χ5811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-11-11-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-111-11-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-1-11-11
χ6111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1
χ6211111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11
χ6311111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-11-1-11
χ6411111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11-1-11-111-1
χ6511111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ6611111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ6711111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ6811111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ69222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000
χ70222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000
χ7122222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-222000000000000000000000000
χ7222222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-222-2-2000000000000000000000000
χ7322-2-22-2-22000000002-22-22-200002-200002i2i−2i−2i00002i2i−2i−2i00000000-2-222-222-200000000-22-22-220000-220000−2i−2i2i2i0000−2i−2i2i2i00000000
χ7422-2-22-2-22000000002-22-22-200002-20000−2i−2i2i2i0000−2i−2i2i2i00000000-2-222-222-200000000-22-22-220000-2200002i2i−2i−2i00002i2i−2i−2i00000000
χ7522-2-22-2-22000000002-22-2-220000-2200002i2i−2i−2i0000−2i−2i2i2i00000000-2-222-222-200000000-22-222-200002-20000−2i−2i2i2i00002i2i−2i−2i00000000
χ7622-2-22-2-22000000002-22-2-220000-220000−2i−2i2i2i00002i2i−2i−2i00000000-2-222-222-200000000-22-222-200002-200002i2i−2i−2i0000−2i−2i2i2i00000000
χ7722-2-22-2-2200000000-22-222-20000-222i2i−2i−2i00002i2i−2i−2i000000000000-2-222-222-2000000002-22-2-2200002-2−2i−2i2i2i0000−2i−2i2i2i000000000000
χ7822-2-22-2-2200000000-22-222-20000-22−2i−2i2i2i0000−2i−2i2i2i000000000000-2-222-222-2000000002-22-2-2200002-22i2i−2i−2i00002i2i−2i−2i000000000000
χ7922-2-22-2-2200000000-22-22-2200002-22i2i−2i−2i0000−2i−2i2i2i000000000000-2-222-222-2000000002-22-22-20000-22−2i−2i2i2i00002i2i−2i−2i000000000000
χ8022-2-22-2-2200000000-22-22-2200002-2−2i−2i2i2i00002i2i−2i−2i000000000000-2-222-222-2000000002-22-22-20000-222i2i−2i−2i0000−2i−2i2i2i000000000000
χ812-222-2-2-222i2i−2i−2i2i2i−2i−2i2-2-22000000002i−2i2i−2i2-22-20000000000000000-22-2-2222-2−2i−2i2i2i−2i−2i2i2i-222-200000000−2i2i−2i2i-22-220000000000000000
χ822-222-2-2-222i2i−2i−2i2i2i−2i−2i2-2-2200000000−2i2i−2i2i-22-220000000000000000-22-2-2222-2−2i−2i2i2i−2i−2i2i2i-222-2000000002i−2i2i−2i2-22-20000000000000000
χ832-222-2-2-222i2i−2i−2i−2i−2i2i2i-222-200000000000000002-22-22i−2i2i−2i00000000-22-2-2222-2−2i−2i2i2i2i2i−2i−2i2-2-220000000000000000-22-22−2i2i−2i2i00000000
χ842-222-2-2-222i2i−2i−2i−2i−2i2i2i-222-20000000000000000-22-22−2i2i−2i2i00000000-22-2-2222-2−2i−2i2i2i2i2i−2i−2i2-2-2200000000000000002-22-22i−2i2i−2i00000000
χ852-222-2-2-22−2i−2i2i2i2i2i−2i−2i-222-200000000000000002-22-2−2i2i−2i2i00000000-22-2-2222-22i2i−2i−2i−2i−2i2i2i2-2-220000000000000000-22-222i−2i2i−2i00000000
χ862-222-2-2-22−2i−2i2i2i2i2i−2i−2i-222-20000000000000000-22-222i−2i2i−2i00000000-22-2-2222-22i2i−2i−2i−2i−2i2i2i2-2-2200000000000000002-22-2−2i2i−2i2i00000000
χ872-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-2-22000000002i−2i2i−2i-22-220000000000000000-22-2-2222-22i2i−2i−2i2i2i−2i−2i-222-200000000−2i2i−2i2i2-22-20000000000000000
χ882-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-2-2200000000−2i2i−2i2i2-22-20000000000000000-22-2-2222-22i2i−2i−2i2i2i−2i−2i-222-2000000002i−2i2i−2i-22-220000000000000000
χ892-2-2-2-22220000000022-2-2002-22-20000002i−2i−2i2i2i−2i−2i2i000000000000-22222-2-2-200000000-2-22200-22-22000000−2i2i2i−2i−2i2i2i−2i000000000000
χ902-2-2-2-22220000000022-2-2002-22-2000000−2i2i2i−2i−2i2i2i−2i000000000000-22222-2-2-200000000-2-22200-22-220000002i−2i−2i2i2i−2i−2i2i000000000000
χ912-2-2-2-22220000000022-2-200-22-220000002i−2i−2i2i−2i2i2i−2i000000000000-22222-2-2-200000000-2-222002-22-2000000−2i2i2i−2i2i−2i−2i2i000000000000
χ922-2-2-2-22220000000022-2-200-22-22000000−2i2i2i−2i2i−2i−2i2i000000000000-22222-2-2-200000000-2-222002-22-20000002i−2i−2i2i−2i2i2i−2i000000000000
χ932-2-2-2-222200000000-2-222002-2-22002-2-2200000000-222-200000000-22222-2-2-20000000022-2-200-222-200-222-2000000002-2-2200000000
χ942-2-2-2-222200000000-2-222002-2-2200-222-2000000002-2-2200000000-22222-2-2-20000000022-2-200-222-2002-2-2200000000-222-200000000
χ952-2-2-2-222200000000-2-22200-222-2002-2-22000000002-2-2200000000-22222-2-2-20000000022-2-2002-2-2200-222-200000000-222-200000000
χ962-2-2-2-222200000000-2-22200-222-200-222-200000000-222-200000000-22222-2-2-20000000022-2-2002-2-22002-2-22000000002-2-2200000000
χ97444-4-44-4-400004-44-4000000000000000000000000000000000000-4-4-444-4440000-44-44000000000000000000000000000000000000
χ98444-4-44-4-40000-44-44000000000000000000000000000000000000-4-4-444-44400004-44-4000000000000000000000000000000000000
χ9944-44-4-44-44-44-40000000000000000000000000000000000000000-4-44-444-44-44-440000000000000000000000000000000000000000
χ10044-44-4-44-4-44-440000000000000000000000000000000000000000-4-44-444-444-44-40000000000000000000000000000000000000000
χ1014-44-44-44-400004i−4i−4i4i000000000000000000000000000000000000-44-44-44-440000−4i4i4i−4i000000000000000000000000000000000000
χ1024-44-44-44-40000−4i4i4i−4i000000000000000000000000000000000000-44-44-44-4400004i−4i−4i4i000000000000000000000000000000000000
χ1034-4-4444-4-44i−4i−4i4i0000000000000000000000000000000000000000-444-4-4-444−4i4i4i−4i0000000000000000000000000000000000000000
χ1044-4-4444-4-4−4i4i4i−4i0000000000000000000000000000000000000000-444-4-4-4444i−4i−4i4i0000000000000000000000000000000000000000

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