Finite Group Databasebeta

← Group #6458613

Character table — Group #6458613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222444444444444224444442244444444444444888888882222222244444444444422444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ91111111111-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111
χ1722222222-2-222222222-2-2-2-2-2-222-2-200000000000000000000000022222222-2-222222222-2-2-2-2-2-222-2-2000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-22222-2-2-2-200000000000000000000000022222222-2-22222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-2-2-22200000000000000000000000022222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ2122-2-2-222-2002i2i−2i−2i22-2-20000002i−2i0000000000000000002−2i2−i22−2i2−i222-2-2-222-2002i2i−2i−2i22-2-20000002i−2i0000000000000000002−2i2−i22−2i2−i2
χ2222-2-2-222-2002i2i−2i−2i22-2-20000002i−2i000000000000000000−22−i2i2−22−i2i222-2-2-222-2002i2i−2i−2i22-2-20000002i−2i000000000000000000−22−i2i2−22−i2i2
χ2322-2-2-222-2002i2i−2i−2i-2-222000000−2i2i0000000000000000002−2i2−i2−22−i2i222-2-2-222-2002i2i−2i−2i-2-222000000−2i2i0000000000000000002−2i2−i2−22−i2i2
χ2422-2-2-222-2002i2i−2i−2i-2-222000000−2i2i000000000000000000−22−i2i22−2i2−i222-2-2-222-2002i2i−2i−2i-2-222000000−2i2i000000000000000000−22−i2i22−2i2−i2
χ2522-2-2-222-200−2i−2i2i2i22-2-2000000−2i2i0000000000000000002−2−i2i22−2−i2i222-2-2-222-200−2i−2i2i2i22-2-2000000−2i2i0000000000000000002−2−i2i22−2−i2i2
χ2622-2-2-222-200−2i−2i2i2i22-2-2000000−2i2i000000000000000000−22i2−i2−22i2−i222-2-2-222-200−2i−2i2i2i22-2-2000000−2i2i000000000000000000−22i2−i2−22i2−i2
χ2722-2-2-222-200−2i−2i2i2i-2-2220000002i−2i0000000000000000002−2−i2i2−22i2−i222-2-2-222-200−2i−2i2i2i-2-2220000002i−2i0000000000000000002−2−i2i2−22i2−i2
χ2822-2-2-222-200−2i−2i2i2i-2-2220000002i−2i000000000000000000−22i2−i22−2−i2i222-2-2-222-200−2i−2i2i2i-2-2220000002i−2i000000000000000000−22i2−i22−2−i2i2
χ292-222-22-2-22-200002-22-22-2002-200000000000000002i−2i2i−2i000000002-222-22-2-22-200002-22-22-2002-200000000000000002i−2i2i−2i00000000
χ302-222-22-2-22-200002-22-22-2002-20000000000000000−2i2i−2i2i000000002-222-22-2-22-200002-22-22-2002-20000000000000000−2i2i−2i2i00000000
χ312-222-22-2-22-20000-22-222-200-2200000000000000002i−2i−2i2i000000002-222-22-2-22-20000-22-222-200-2200000000000000002i−2i−2i2i00000000
χ322-222-22-2-22-20000-22-222-200-220000000000000000−2i2i2i−2i000000002-222-22-2-22-20000-22-222-200-220000000000000000−2i2i2i−2i00000000
χ332-222-22-2-2-2200002-22-2-2200-2200000000002i−2i2i−2i000000000000002-222-22-2-2-2200002-22-2-2200-2200000000002i−2i2i−2i00000000000000
χ342-222-22-2-2-2200002-22-2-2200-220000000000−2i2i−2i2i000000000000002-222-22-2-2-2200002-22-2-2200-220000000000−2i2i−2i2i00000000000000
χ352-222-22-2-2-220000-22-22-22002-200000000002i−2i−2i2i000000000000002-222-22-2-2-220000-22-22-22002-200000000002i−2i−2i2i00000000000000
χ362-222-22-2-2-220000-22-22-22002-20000000000−2i2i2i−2i000000000000002-222-22-2-2-220000-22-22-22002-20000000000−2i2i2i−2i00000000000000
χ372-22-22-22-22-22i−2i2i−2i0000-220000002i−2i002-22i−2i0000000000000000002-22-22-22-22-22i−2i2i−2i0000-220000002i−2i002-22i−2i000000000000000000
χ382-22-22-22-22-22i−2i2i−2i0000-220000002i−2i00-22−2i2i0000000000000000002-22-22-22-22-22i−2i2i−2i0000-220000002i−2i00-22−2i2i000000000000000000
χ392-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i002-2−2i2i0000000000000000002-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i002-2−2i2i000000000000000000
χ402-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i00-222i−2i0000000000000000002-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i00-222i−2i000000000000000000
χ412-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i2-2000000002i−2i0000000000002-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i2-2000000002i−2i000000000000
χ422-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i-2200000000−2i2i0000000000002-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i-2200000000−2i2i000000000000
χ432-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i2-200000000−2i2i0000000000002-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i2-200000000−2i2i000000000000
χ442-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i-22000000002i−2i0000000000002-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i-22000000002i−2i000000000000
χ45444-4-4-4-444400000000-4-400000000000000000000000000000000444-4-4-4-444400000000-4-400000000000000000000000000000000
χ46444-4-4-4-44-4-4000000004400000000000000000000000000000000444-4-4-4-44-4-4000000004400000000000000000000000000000000
χ4744-444-4-4-40000000000004-400000000000000000000000000000044-444-4-4-40000000000004-4000000000000000000000000000000
χ4844-444-4-4-4000000000000-4400000000000000000000000000000044-444-4-4-4000000000000-44000000000000000000000000000000
χ494-4-44-4-444004-4-44000000000000000000000000000000000000004-4-44-4-444004-4-4400000000000000000000000000000000000000
χ504-4-44-4-44400-444-4000000000000000000000000000000000000004-4-44-4-44400-444-400000000000000000000000000000000000000
χ514-4-4-444-440000004-4-4400000000000000000000000000000000004-4-4-444-440000004-4-440000000000000000000000000000000000
χ524-4-4-444-44000000-444-400000000000000000000000000000000004-4-4-444-44000000-444-40000000000000000000000000000000000
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
χ541111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111
χ551111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5711111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111
χ5811111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1
χ5911111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ6011111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ611111111111-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-111
χ621111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-111-1-111-1-1
χ631111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-1
χ641111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ651111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ661111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111
χ671111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111
χ681111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-11111-1-1
χ6922222222-2-222222222-2-2-2-2-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222-2-222000000000000000000000000
χ7022222222-2-22222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222000000000000000000000000
χ7122222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2000000000000000000000000
χ7322-2-2-222-2002i2i−2i−2i22-2-20000002i−2i0000000000000000002−2i2−i22−2i2−i2-2-2222-2-2200−2i−2i2i2i-2-222000000−2i2i000000000000000000−22−i2i2−22−i2i2
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χ7522-2-2-222-2002i2i−2i−2i-2-222000000−2i2i0000000000000000002−2i2−i2−22−i2i2-2-2222-2-2200−2i−2i2i2i22-2-20000002i−2i000000000000000000−22−i2i22−2i2−i2
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χ7822-2-2-222-200−2i−2i2i2i22-2-2000000−2i2i000000000000000000−22i2−i2−22i2−i2-2-2222-2-22002i2i−2i−2i-2-2220000002i−2i0000000000000000002−2−i2i22−2−i2i2
χ7922-2-2-222-200−2i−2i2i2i-2-2220000002i−2i0000000000000000002−2−i2i2−22i2−i2-2-2222-2-22002i2i−2i−2i22-2-2000000−2i2i000000000000000000−22i2−i22−2−i2i2
χ8022-2-2-222-200−2i−2i2i2i-2-2220000002i−2i000000000000000000−22i2−i22−2−i2i2-2-2222-2-22002i2i−2i−2i22-2-2000000−2i2i0000000000000000002−2−i2i2−22i2−i2
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χ852-222-22-2-2-2200002-22-2-2200-2200000000002i−2i2i−2i00000000000000-22-2-22-2222-20000-22-222-2002-20000000000−2i2i−2i2i00000000000000
χ862-222-22-2-2-2200002-22-2-2200-220000000000−2i2i−2i2i00000000000000-22-2-22-2222-20000-22-222-2002-200000000002i−2i2i−2i00000000000000
χ872-222-22-2-2-220000-22-22-22002-200000000002i−2i−2i2i00000000000000-22-2-22-2222-200002-22-22-200-220000000000−2i2i2i−2i00000000000000
χ882-222-22-2-2-220000-22-22-22002-20000000000−2i2i2i−2i00000000000000-22-2-22-2222-200002-22-22-200-2200000000002i−2i−2i2i00000000000000
χ892-22-22-22-22-22i−2i2i−2i0000-220000002i−2i002-22i−2i000000000000000000-22-22-22-22-22−2i2i−2i2i00002-2000000−2i2i00-22−2i2i000000000000000000
χ902-22-22-22-22-22i−2i2i−2i0000-220000002i−2i00-22−2i2i000000000000000000-22-22-22-22-22−2i2i−2i2i00002-2000000−2i2i002-22i−2i000000000000000000
χ912-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i002-2−2i2i000000000000000000-22-22-22-22-222i−2i2i−2i00002-20000002i−2i00-222i−2i000000000000000000
χ922-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i00-222i−2i000000000000000000-22-22-22-22-222i−2i2i−2i00002-20000002i−2i002-2−2i2i000000000000000000
χ932-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i2-2000000002i−2i000000000000-22-22-22-222-2−2i2i−2i2i0000-220000002i−2i-2200000000−2i2i000000000000
χ942-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i-2200000000−2i2i000000000000-22-22-22-222-2−2i2i−2i2i0000-220000002i−2i2-2000000002i−2i000000000000
χ952-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i2-200000000−2i2i000000000000-22-22-22-222-22i−2i2i−2i0000-22000000−2i2i-22000000002i−2i000000000000
χ962-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i-22000000002i−2i000000000000-22-22-22-222-22i−2i2i−2i0000-22000000−2i2i2-200000000−2i2i000000000000
χ97444-4-4-4-444400000000-4-400000000000000000000000000000000-4-4-44444-4-4-4000000004400000000000000000000000000000000
χ98444-4-4-4-44-4-4000000004400000000000000000000000000000000-4-4-44444-44400000000-4-400000000000000000000000000000000
χ9944-444-4-4-40000000000004-4000000000000000000000000000000-4-44-4-4444000000000000-44000000000000000000000000000000
χ10044-444-4-4-4000000000000-44000000000000000000000000000000-4-44-4-44440000000000004-4000000000000000000000000000000
χ1014-4-44-4-444004-4-4400000000000000000000000000000000000000-444-444-4-400-444-400000000000000000000000000000000000000
χ1024-4-44-4-44400-444-400000000000000000000000000000000000000-444-444-4-4004-4-4400000000000000000000000000000000000000
χ1034-4-4-444-440000004-4-440000000000000000000000000000000000-4444-4-44-4000000-444-40000000000000000000000000000000000
χ1044-4-4-444-44000000-444-40000000000000000000000000000000000-4444-4-44-40000004-4-440000000000000000000000000000000000

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