Finite Group Databasebeta

← Group #13028363

Character table — Group #13028363

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444442251010101010101022222222224410101010202020202020202044444444101010102020202022444444444444444444444444444444442244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111
χ9111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ11111111111111-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ12111111111111-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ15111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ16111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ1711111111-1-1-1-11111-1-111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ1811111111-1-1-1-11111-1-111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-11-1
χ1911111111-1-1-1-11111-1-11111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11
χ2011111111-1-1-1-11111-1-11111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-11-11
χ2111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-11
χ2211111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ2311111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1
χ2411111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1
χ2511111111-1-1-1-1-1-1-1-11111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ2611111111-1-1-1-1-1-1-1-11111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ2711111111-1-1-1-1-1-1-1-1111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1
χ2811111111-1-1-1-1-1-1-1-1111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1
χ2911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-111-1
χ3011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-111-1
χ3111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-11
χ3211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-11
χ332222-2-2-2-200002i2i−2i−2i002222-2-2-2-22-222-2-22-20000000000002i2i−2i−2i00002i2i−2i−2i0000000000002i−2i002-2002i−2i002-200000000000000000000
χ342222-2-2-2-200002i2i−2i−2i002222-2-2-2-22-222-2-22-20000000000002i2i−2i−2i00002i2i−2i−2i000000000000−2i2i00-2200−2i2i00-2200000000000000000000
χ352222-2-2-2-200002i2i−2i−2i002222-2-2-2-2-22-2-222-220000000000002i2i−2i−2i0000−2i−2i2i2i0000000000002-200−2i2i00-22002i−2i00000000000000000000
χ362222-2-2-2-200002i2i−2i−2i002222-2-2-2-2-22-2-222-220000000000002i2i−2i−2i0000−2i−2i2i2i000000000000-22002i−2i002-200−2i2i00000000000000000000
χ372222-2-2-2-20000−2i−2i2i2i002222-2-2-2-22-222-2-22-2000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000002i−2i00-22002i−2i00-2200000000000000000000
χ382222-2-2-2-20000−2i−2i2i2i002222-2-2-2-22-222-2-22-2000000000000−2i−2i2i2i0000−2i−2i2i2i000000000000−2i2i002-200−2i2i002-200000000000000000000
χ392222-2-2-2-20000−2i−2i2i2i002222-2-2-2-2-22-2-222-22000000000000−2i−2i2i2i00002i2i−2i−2i0000000000002-2002i−2i00-2200−2i2i00000000000000000000
χ402222-2-2-2-20000−2i−2i2i2i002222-2-2-2-2-22-2-222-22000000000000−2i−2i2i2i00002i2i−2i−2i000000000000-2200−2i2i002-2002i−2i00000000000000000000
χ4122-2-222-2-200002i−2i2i−2i0022-2-222-2-22-2-2-2222-20000000000002i−2i2i−2i00002i−2i2i−2i00000000002i−2i002-2002i−2i002-20000000000000000000000
χ4222-2-222-2-200002i−2i2i−2i0022-2-222-2-22-2-2-2222-20000000000002i−2i2i−2i00002i−2i2i−2i0000000000−2i2i00-2200−2i2i00-220000000000000000000000
χ4322-2-222-2-200002i−2i2i−2i0022-2-222-2-2-2222-2-2-220000000000002i−2i2i−2i0000−2i2i−2i2i00000000002-200−2i2i00-22002i−2i0000000000000000000000
χ4422-2-222-2-200002i−2i2i−2i0022-2-222-2-2-2222-2-2-220000000000002i−2i2i−2i0000−2i2i−2i2i0000000000-22002i−2i002-200−2i2i0000000000000000000000
χ4522-2-222-2-20000−2i2i−2i2i0022-2-222-2-22-2-2-2222-2000000000000−2i2i−2i2i0000−2i2i−2i2i00000000002i−2i00-22002i−2i00-220000000000000000000000
χ4622-2-222-2-20000−2i2i−2i2i0022-2-222-2-22-2-2-2222-2000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000−2i2i002-200−2i2i002-20000000000000000000000
χ4722-2-222-2-20000−2i2i−2i2i0022-2-222-2-2-2222-2-2-22000000000000−2i2i−2i2i00002i−2i2i−2i00000000002-2002i−2i00-2200−2i2i0000000000000000000000
χ4822-2-222-2-20000−2i2i−2i2i0022-2-222-2-2-2222-2-2-22000000000000−2i2i−2i2i00002i−2i2i−2i0000000000-2200−2i2i002-2002i−2i0000000000000000000000
χ4922-2-2-2-22222-2-22-2-222-222-2-2-2-22222-2-2-2-222000022-2-222-2-22-2-2222-2-22-2-22000000002-2000000000000000000000000000000000000
χ5022-2-2-2-22222-2-22-2-222-222-2-2-2-222-2-22222-2-2000022-2-222-2-22-2-22-2-222-222-200000000-22000000000000000000000000000000000000
χ5122-2-2-2-22222-2-2-222-2-2222-2-2-2-22222-2-2-2-2220000-2-22222-2-2-222-222-2-2-222-200000000-22000000000000000000000000000000000000
χ5222-2-2-2-22222-2-2-222-2-2222-2-2-2-222-2-22222-2-20000-2-22222-2-2-222-2-2-2222-2-22000000002-2000000000000000000000000000000000000
χ5322-2-2-2-222-2-2222-2-22-2222-2-2-2-22222-2-2-2-2220000-2-222-2-2222-2-22-2-2222-2-2200000000-22000000000000000000000000000000000000
χ5422-2-2-2-222-2-2222-2-22-2222-2-2-2-222-2-22222-2-20000-2-222-2-2222-2-2222-2-2-222-2000000002-2000000000000000000000000000000000000
χ5522-2-2-2-222-2-222-222-22-222-2-2-2-22222-2-2-2-222000022-2-2-2-222-222-2-2-222-222-2000000002-2000000000000000000000000000000000000
χ5622-2-2-2-222-2-222-222-22-222-2-2-2-222-2-22222-2-2000022-2-2-2-222-222-222-2-22-2-2200000000-22000000000000000000000000000000000000
χ572-22-22-22-22-22-20000002-22-22-22-2222-22-2-2-2000000002-22-200002-22-200000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000
χ582-22-22-22-22-22-20000002-22-22-22-2222-22-2-2-2000000002-22-200002-22-20000000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000
χ592-22-22-22-22-22-20000002-22-22-22-2-2-2-22-2222000000002-22-20000-22-2200000000000000000000000000000000002-22-20000-22-220000
χ602-22-22-22-22-22-20000002-22-22-22-2-2-2-22-2222000000002-22-20000-22-220000000000000000000000000000000000-22-2200002-22-20000
χ612-22-22-22-2-22-220000002-22-22-22-2222-22-2-2-200000000-22-220000-22-2200000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i0000
χ622-22-22-22-2-22-220000002-22-22-22-2222-22-2-2-200000000-22-220000-22-220000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000
χ632-22-22-22-2-22-220000002-22-22-22-2-2-2-22-222200000000-22-2200002-22-200000000000000000000000000000000002-2-220000-222-20000
χ642-22-22-22-2-22-220000002-22-22-22-2-2-2-22-222200000000-22-2200002-22-20000000000000000000000000000000000-222-200002-2-220000
χ652-2-22-222-22-2-220000002-2-22-222-222-22-22-2-2000000002-2-2200002-2-220000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i00000000
χ662-2-22-222-22-2-220000002-2-22-222-222-22-22-2-2000000002-2-2200002-2-22000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i00000000
χ672-2-22-222-22-2-220000002-2-22-222-2-2-22-22-222000000002-2-220000-222-20000000000000000000000000000002-22-20000-22-2200000000
χ682-2-22-222-22-2-220000002-2-22-222-2-2-22-22-222000000002-2-220000-222-2000000000000000000000000000000-22-2200002-22-200000000
χ692-2-22-222-2-222-20000002-2-22-222-222-22-22-2-200000000-222-20000-222-20000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i00000000
χ702-2-22-222-2-222-20000002-2-22-222-222-22-22-2-200000000-222-20000-222-2000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000
χ712-2-22-222-2-222-20000002-2-22-222-2-2-22-22-22200000000-222-200002-2-220000000000000000000000000000002-2-220000-222-200000000
χ722-2-22-222-2-222-20000002-2-22-222-2-2-22-22-22200000000-222-200002-2-22000000000000000000000000000000-222-200002-2-2200000000
χ73444444444444444444-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ74444444444444444444-1-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000000000000000000000000000000000
χ75444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-10000000044-4-41111-1-1-1-1111100000000-1-1-1-1111100000000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-100000000-4-4441111-1-1-1-11111000000001111-1-1-1-100000000000000000000000000000000000000
χ7744444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-1000000004-44-411111111-1-1-1-100000000-1-111-1-11100000000000000000000000000000000000000
χ7844444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-100000000-44-4411111111-1-1-1-10000000011-1-111-1-100000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-1000000004-4-44-1-1-1-11111111100000000-1-11111-1-100000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-444-4-1-1-1-1111111110000000011-1-1-1-11100000000000000000000000000000000000000
χ8144-4-4-4-44444-4-44-4-444-4-1-11111-1-1000000000000-1-111-1-111-111-1000000005−55−55−55−500000000000000000000000000000000000000
χ8244-4-4-4-44444-4-44-4-444-4-1-11111-1-1000000000000-1-111-1-111-111-100000000−55−55−55−5500000000000000000000000000000000000000
χ8344-4-4-4-44444-4-4-444-4-44-1-11111-1-100000000000011-1-1-1-1111-1-11000000005−55−5−55−5500000000000000000000000000000000000000
χ8444-4-4-4-44444-4-4-444-4-44-1-11111-1-100000000000011-1-1-1-1111-1-1100000000−55−555−55−500000000000000000000000000000000000000
χ8544-4-4-4-444-4-4444-4-44-44-1-11111-1-100000000000011-1-111-1-1-111-1000000005−5−555−5−5500000000000000000000000000000000000000
χ8644-4-4-4-444-4-4444-4-44-44-1-11111-1-100000000000011-1-111-1-1-111-100000000−555−5−555−500000000000000000000000000000000000000
χ8744-4-4-4-444-4-444-444-44-4-1-11111-1-1000000000000-1-11111-1-11-1-11000000005−5−55−555−500000000000000000000000000000000000000
χ8844-4-4-4-444-4-444-444-44-4-1-11111-1-1000000000000-1-11111-1-11-1-1100000000−555−55−5−5500000000000000000000000000000000000000
χ894-44-4-44-4400000000004-44-4-44-444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-4-44-4400000000004-44-4-44-44-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-4400000000004-4-444-4-444-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-4400000000004-4-444-4-44-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ938888-8-8-8-800008i8i−8i−8i00-2-2-2-2222200000000000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ948888-8-8-8-80000−8i−8i8i8i00-2-2-2-22222000000000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ9588-8-888-8-800008i−8i8i−8i00-2-222-2-22200000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ9688-8-888-8-80000−8i8i−8i8i00-2-222-2-222000000000000000000002i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ978-88-88-88-88-88-8000000-22-22-22-220000000000000000-22-220000000000000000000000000000000000000000000000000000000000
χ988-88-88-88-8-88-88000000-22-22-22-2200000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ998-88-8-88-880000000000-22-222-22-200000000000025−2525−2500000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-880000000000-22-222-22-2000000000000−2525−252500000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-880000000000-222-2-222-200000000000025−25−252500000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-8-880000000000-222-2-222-2000000000000−252525−2500000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-888-88-8-88000000-222-22-2-220000000000000000-222-20000000000000000000000000000000000000000000000000000000000
χ1048-8-88-888-8-888-8000000-222-22-2-2200000000000000002-2-220000000000000000000000000000000000000000000000000000000000

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