Finite Group Databasebeta

← Group #611963

Character table — Group #611963

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111114444444444448888888888888888888888881111111111111111444444444444888888888888888888888888
order12222222222222224444444444442222444444444444444444442222222222222222444444444444222244444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ131111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111111
χ17222-2-222222-2-2-2-2-2-2000000002i2i−2i−2i00002-2000000000000002i−2i00222-2-222222-2-2-2-2-2-2000000002i2i−2i−2i00002-2000000000000002i−2i00
χ18222-2-222222-2-2-2-2-2-2000000002i2i−2i−2i0000-2200000000000000−2i2i00222-2-222222-2-2-2-2-2-2000000002i2i−2i−2i0000-2200000000000000−2i2i00
χ19222-2-222222-2-2-2-2-2-200000000−2i−2i2i2i00002-200000000000000−2i2i00222-2-222222-2-2-2-2-2-200000000−2i−2i2i2i00002-200000000000000−2i2i00
χ20222-2-222222-2-2-2-2-2-200000000−2i−2i2i2i0000-22000000000000002i−2i00222-2-222222-2-2-2-2-2-200000000−2i−2i2i2i0000-22000000000000002i−2i00
χ2122-22-222-2-2-2222-2-2-200002i2i−2i−2i0000000000000000002i−2i002-2000022-22-222-2-2-2222-2-2-200002i2i−2i−2i0000000000000000002i−2i002-20000
χ2222-22-222-2-2-2222-2-2-200002i2i−2i−2i000000000000000000−2i2i00-22000022-22-222-2-2-2222-2-2-200002i2i−2i−2i000000000000000000−2i2i00-220000
χ2322-22-222-2-2-2222-2-2-20000−2i−2i2i2i0000000000000000002i−2i00-22000022-22-222-2-2-2222-2-2-20000−2i−2i2i2i0000000000000000002i−2i00-220000
χ2422-22-222-2-2-2222-2-2-20000−2i−2i2i2i000000000000000000−2i2i002-2000022-22-222-2-2-2222-2-2-20000−2i−2i2i2i000000000000000000−2i2i002-20000
χ2522-2-22-2-222-222-22-2-22i2i−2i−2i00000000000000002-22i−2i00000000000022-2-22-2-222-222-22-2-22i2i−2i−2i00000000000000002-22i−2i000000000000
χ2622-2-22-2-222-222-22-2-22i2i−2i−2i0000000000000000-22−2i2i00000000000022-2-22-2-222-222-22-2-22i2i−2i−2i0000000000000000-22−2i2i000000000000
χ2722-2-22-2-222-222-22-2-2−2i−2i2i2i00000000000000002-2−2i2i00000000000022-2-22-2-222-222-22-2-2−2i−2i2i2i00000000000000002-2−2i2i000000000000
χ2822-2-22-2-222-222-22-2-2−2i−2i2i2i0000000000000000-222i−2i00000000000022-2-22-2-222-222-22-2-2−2i−2i2i2i0000000000000000-222i−2i000000000000
χ292-222-22-22-2-22-2-222-22i−2i2i−2i00000000002-20000000000000000002i−2i2-222-22-22-2-22-2-222-22i−2i2i−2i00000000002-20000000000000000002i−2i
χ302-222-22-22-2-22-2-222-22i−2i2i−2i0000000000-22000000000000000000−2i2i2-222-22-22-2-22-2-222-22i−2i2i−2i0000000000-22000000000000000000−2i2i
χ312-222-22-22-2-22-2-222-2−2i2i−2i2i00000000002-2000000000000000000−2i2i2-222-22-22-2-22-2-222-2−2i2i−2i2i00000000002-2000000000000000000−2i2i
χ322-222-22-22-2-22-2-222-2−2i2i−2i2i0000000000-220000000000000000002i−2i2-222-22-22-2-22-2-222-2−2i2i−2i2i0000000000-220000000000000000002i−2i
χ332-22-22-22-22-22-22-22-200002i−2i2i−2i00000000000000002-2002i−2i0000002-22-22-22-22-22-22-22-200002i−2i2i−2i00000000000000002-2002i−2i000000
χ342-22-22-22-22-22-22-22-200002i−2i2i−2i0000000000000000-2200−2i2i0000002-22-22-22-22-22-22-22-200002i−2i2i−2i0000000000000000-2200−2i2i000000
χ352-22-22-22-22-22-22-22-20000−2i2i−2i2i00000000000000002-200−2i2i0000002-22-22-22-22-22-22-22-20000−2i2i−2i2i00000000000000002-200−2i2i000000
χ362-22-22-22-22-22-22-22-20000−2i2i−2i2i0000000000000000-22002i−2i0000002-22-22-22-22-22-22-22-20000−2i2i−2i2i0000000000000000-22002i−2i000000
χ372-2-222-222-22-22-2-22-2000000002i−2i2i−2i2-200002i−2i00000000000000002-2-222-222-22-22-2-22-2000000002i−2i2i−2i2-200002i−2i0000000000000000
χ382-2-222-222-22-22-2-22-2000000002i−2i2i−2i-220000−2i2i00000000000000002-2-222-222-22-22-2-22-2000000002i−2i2i−2i-220000−2i2i0000000000000000
χ392-2-222-222-22-22-2-22-200000000−2i2i−2i2i2-20000−2i2i00000000000000002-2-222-222-22-22-2-22-200000000−2i2i−2i2i2-20000−2i2i0000000000000000
χ402-2-222-222-22-22-2-22-200000000−2i2i−2i2i-2200002i−2i00000000000000002-2-222-222-22-22-2-22-200000000−2i2i−2i2i-2200002i−2i0000000000000000
χ412-2-2-2-2-222-222-222-222-2-222-2-222-2-220000000000000000000000002-2-2-2-2-222-222-222-222-2-222-2-222-2-22000000000000000000000000
χ422-2-2-2-2-222-222-222-222-2-22-222-2-222-20000000000000000000000002-2-2-2-2-222-222-222-222-2-22-222-2-222-2000000000000000000000000
χ432-2-2-2-2-222-222-222-22-222-22-2-22-222-20000000000000000000000002-2-2-2-2-222-222-222-22-222-22-2-22-222-2000000000000000000000000
χ442-2-2-2-2-222-222-222-22-222-2-222-22-2-220000000000000000000000002-2-2-2-2-222-222-222-22-222-2-222-22-2-22000000000000000000000000
χ4544444-4-4-4-44-4-444-4-400000000000000000000000000000000000044444-4-4-4-44-4-444-4-4000000000000000000000000000000000000
χ46444-4-4-4-4-4-4444-4-444000000000000000000000000000000000000444-4-4-4-4-4-4444-4-444000000000000000000000000000000000000
χ4744-44-4-4-444-4-4-44-44400000000000000000000000000000000000044-44-4-4-444-4-4-44-444000000000000000000000000000000000000
χ4844-4-4444-4-4-4-4-4-444400000000000000000000000000000000000044-4-4444-4-4-4-4-4-4444000000000000000000000000000000000000
χ494-444-4-44-44-4-44-44-440000000000000000000000000000000000004-444-4-44-44-4-44-44-44000000000000000000000000000000000000
χ504-44-444-44-4-4-444-4-440000000000000000000000000000000000004-44-444-44-4-4-444-4-44000000000000000000000000000000000000
χ514-4-4444-4-4444-4-4-4-440000000000000000000000000000000000004-4-4444-4-4444-4-4-4-44000000000000000000000000000000000000
χ524-4-4-4-44-4-444-44444-40000000000000000000000000000000000004-4-4-4-44-4-444-44444-4000000000000000000000000000000000000
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
χ54111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111
χ551111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ5711111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ5811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ611111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111
χ621111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-111-1-111-1-1-1-1-1-1
χ631111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111
χ641111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ651111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111
χ661111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ671111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ681111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1
χ69222-2-222222-2-2-2-2-2-2000000002i2i−2i−2i00002-2000000000000002i−2i00-2-2-222-2-2-2-2-222222200000000−2i−2i2i2i0000-2200000000000000−2i2i00
χ70222-2-222222-2-2-2-2-2-2000000002i2i−2i−2i0000-2200000000000000−2i2i00-2-2-222-2-2-2-2-222222200000000−2i−2i2i2i00002-2000000000000002i−2i00
χ71222-2-222222-2-2-2-2-2-200000000−2i−2i2i2i00002-200000000000000−2i2i00-2-2-222-2-2-2-2-2222222000000002i2i−2i−2i0000-22000000000000002i−2i00
χ72222-2-222222-2-2-2-2-2-200000000−2i−2i2i2i0000-22000000000000002i−2i00-2-2-222-2-2-2-2-2222222000000002i2i−2i−2i00002-200000000000000−2i2i00
χ7322-22-222-2-2-2222-2-2-200002i2i−2i−2i0000000000000000002i−2i002-20000-2-22-22-2-2222-2-2-22220000−2i−2i2i2i000000000000000000−2i2i00-220000
χ7422-22-222-2-2-2222-2-2-200002i2i−2i−2i000000000000000000−2i2i00-220000-2-22-22-2-2222-2-2-22220000−2i−2i2i2i0000000000000000002i−2i002-20000
χ7522-22-222-2-2-2222-2-2-20000−2i−2i2i2i0000000000000000002i−2i00-220000-2-22-22-2-2222-2-2-222200002i2i−2i−2i000000000000000000−2i2i002-20000
χ7622-22-222-2-2-2222-2-2-20000−2i−2i2i2i000000000000000000−2i2i002-20000-2-22-22-2-2222-2-2-222200002i2i−2i−2i0000000000000000002i−2i00-220000
χ7722-2-22-2-222-222-22-2-22i2i−2i−2i00000000000000002-22i−2i000000000000-2-222-222-2-22-2-22-222−2i−2i2i2i0000000000000000-22−2i2i000000000000
χ7822-2-22-2-222-222-22-2-22i2i−2i−2i0000000000000000-22−2i2i000000000000-2-222-222-2-22-2-22-222−2i−2i2i2i00000000000000002-22i−2i000000000000
χ7922-2-22-2-222-222-22-2-2−2i−2i2i2i00000000000000002-2−2i2i000000000000-2-222-222-2-22-2-22-2222i2i−2i−2i0000000000000000-222i−2i000000000000
χ8022-2-22-2-222-222-22-2-2−2i−2i2i2i0000000000000000-222i−2i000000000000-2-222-222-2-22-2-22-2222i2i−2i−2i00000000000000002-2−2i2i000000000000
χ812-222-22-22-2-22-2-222-22i−2i2i−2i00000000002-20000000000000000002i−2i-22-2-22-22-222-222-2-22−2i2i−2i2i0000000000-22000000000000000000−2i2i
χ822-222-22-22-2-22-2-222-22i−2i2i−2i0000000000-22000000000000000000−2i2i-22-2-22-22-222-222-2-22−2i2i−2i2i00000000002-20000000000000000002i−2i
χ832-222-22-22-2-22-2-222-2−2i2i−2i2i00000000002-2000000000000000000−2i2i-22-2-22-22-222-222-2-222i−2i2i−2i0000000000-220000000000000000002i−2i
χ842-222-22-22-2-22-2-222-2−2i2i−2i2i0000000000-220000000000000000002i−2i-22-2-22-22-222-222-2-222i−2i2i−2i00000000002-2000000000000000000−2i2i
χ852-22-22-22-22-22-22-22-200002i−2i2i−2i00000000000000002-2002i−2i000000-22-22-22-22-22-22-22-220000−2i2i−2i2i0000000000000000-2200−2i2i000000
χ862-22-22-22-22-22-22-22-200002i−2i2i−2i0000000000000000-2200−2i2i000000-22-22-22-22-22-22-22-220000−2i2i−2i2i00000000000000002-2002i−2i000000
χ872-22-22-22-22-22-22-22-20000−2i2i−2i2i00000000000000002-200−2i2i000000-22-22-22-22-22-22-22-2200002i−2i2i−2i0000000000000000-22002i−2i000000
χ882-22-22-22-22-22-22-22-20000−2i2i−2i2i0000000000000000-22002i−2i000000-22-22-22-22-22-22-22-2200002i−2i2i−2i00000000000000002-200−2i2i000000
χ892-2-222-222-22-22-2-22-2000000002i−2i2i−2i2-200002i−2i0000000000000000-222-2-22-2-22-22-222-2200000000−2i2i−2i2i-220000−2i2i0000000000000000
χ902-2-222-222-22-22-2-22-2000000002i−2i2i−2i-220000−2i2i0000000000000000-222-2-22-2-22-22-222-2200000000−2i2i−2i2i2-200002i−2i0000000000000000
χ912-2-222-222-22-22-2-22-200000000−2i2i−2i2i2-20000−2i2i0000000000000000-222-2-22-2-22-22-222-22000000002i−2i2i−2i-2200002i−2i0000000000000000
χ922-2-222-222-22-22-2-22-200000000−2i2i−2i2i-2200002i−2i0000000000000000-222-2-22-2-22-22-222-22000000002i−2i2i−2i2-20000−2i2i0000000000000000
χ932-2-2-2-2-222-222-222-222-2-222-2-222-2-22000000000000000000000000-222222-2-22-2-22-2-22-2-222-2-222-2-222-2000000000000000000000000
χ942-2-2-2-2-222-222-222-222-2-22-222-2-222-2000000000000000000000000-222222-2-22-2-22-2-22-2-222-22-2-222-2-22000000000000000000000000
χ952-2-2-2-2-222-222-222-22-222-22-2-22-222-2000000000000000000000000-222222-2-22-2-22-2-22-22-2-22-222-22-2-22000000000000000000000000
χ962-2-2-2-2-222-222-222-22-222-2-222-22-2-22000000000000000000000000-222222-2-22-2-22-2-22-22-2-222-2-22-222-2000000000000000000000000
χ9744444-4-4-4-44-4-444-4-4000000000000000000000000000000000000-4-4-4-4-44444-444-4-444000000000000000000000000000000000000
χ98444-4-4-4-4-4-4444-4-444000000000000000000000000000000000000-4-4-4444444-4-4-444-4-4000000000000000000000000000000000000
χ9944-44-4-4-444-4-4-44-444000000000000000000000000000000000000-4-44-4444-4-4444-44-4-4000000000000000000000000000000000000
χ10044-4-4444-4-4-4-4-4-4444000000000000000000000000000000000000-4-444-4-4-4444444-4-4-4000000000000000000000000000000000000
χ1014-444-4-44-44-4-44-44-44000000000000000000000000000000000000-44-4-444-44-444-44-44-4000000000000000000000000000000000000
χ1024-44-444-44-4-4-444-4-44000000000000000000000000000000000000-44-44-4-44-4444-4-444-4000000000000000000000000000000000000
χ1034-4-4444-4-4444-4-4-4-44000000000000000000000000000000000000-444-4-4-444-4-4-44444-4000000000000000000000000000000000000
χ1044-4-4-4-44-4-444-44444-4000000000000000000000000000000000000-44444-444-4-44-4-4-4-44000000000000000000000000000000000000

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