Finite Group Databasebeta

← Group #13028402

Character table — Group #13028402

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111144444444444444444455555555881010101010101010101010101010101016161616161616161616161616162020202020202020202020202020202020202020202020202020404040404040
order12222222222222444451010101010101022222222444444444444444444101010101010202020202020202022222244444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1ii−i−i
χ411111111111111111111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1−i−iii
χ5111111111111-1-111-1-11111111111111111-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiiiii−i−i−i−i11−i−iii
χ8111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−i−i−iiiii11ii−i−i
χ91111111111-1-111-1-1-1-111111111111111111-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-11-1
χ101111111111-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-11-11
χ111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-111-1-1-1-1-1-111-1-11111−i−iiiii−i−iii−i−i−i−iii-11i−i−ii
χ121111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-111-1-1-1-1-1-111-1-11111ii−i−i−i−iii−i−iiiii−i−i-11−iii−i
χ131111111111-1-1-1-1-1-1111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-11-11-11
χ141111111111-1-1-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-111-11-1
χ151111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-11111-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1−iii−i
χ161111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-11111-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1i−i−ii
χ1711111111-1-11111-1-1-1-11111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-11
χ1811111111-1-11111-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-111-11-1
χ1911111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1−iii−i
χ2011111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1i−i−ii
χ2111111111-1-111-1-1-1-11111111111111111111-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-11-11-1
χ2211111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11-1-11-11
χ2311111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-111-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-11i−i−ii
χ2411111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-111-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-11−iii−i
χ2511111111-1-1-1-11111111111111111111111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111
χ2711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii11−i−iii
χ2811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i11ii−i−i
χ2911111111-1-1-1-1-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3011111111-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1
χ3111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1111111-1-1111111-1-111−i−iii−i−iii−i−i−i−iiiii-1-1ii−i−i
χ3211111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1111111-1-1111111-1-111ii−i−iii−i−iiiii−i−i−i−i-1-1−i−iii
χ332222-2-2-2-2000000002i−2i2222-2-2-2-222-22-2-2-22000000000022-2-222-2-20000000000002i−2i000000002i−2i00002i−2i2i−2i00000000000000
χ342222-2-2-2-2000000002i−2i2222-2-2-2-222-22-2-2-220000000000-2-222-2-2220000000000002i−2i000000002i−2i0000−2i2i−2i2i00000000000000
χ352222-2-2-2-2000000002i−2i2222-2-2-2-2-2-22-2222-200000000002i2i−2i−2i−2i−2i2i2i0000000000002i−2i00000000−2i2i0000-222-200000000000000
χ362222-2-2-2-2000000002i−2i2222-2-2-2-2-2-22-2222-20000000000−2i−2i2i2i2i2i−2i−2i0000000000002i−2i00000000−2i2i00002-2-2200000000000000
χ372222-2-2-2-200000000−2i2i2222-2-2-2-222-22-2-2-22000000000022-2-222-2-2000000000000−2i2i00000000−2i2i0000−2i2i−2i2i00000000000000
χ382222-2-2-2-200000000−2i2i2222-2-2-2-222-22-2-2-220000000000-2-222-2-222000000000000−2i2i00000000−2i2i00002i−2i2i−2i00000000000000
χ392222-2-2-2-200000000−2i2i2222-2-2-2-2-2-22-2222-200000000002i2i−2i−2i−2i−2i2i2i000000000000−2i2i000000002i−2i00002-2-2200000000000000
χ402222-2-2-2-200000000−2i2i2222-2-2-2-2-2-22-2222-20000000000−2i−2i2i2i2i2i−2i−2i000000000000−2i2i000000002i−2i0000-222-200000000000000
χ4122-2-222-2-20000002-20022-2-222-2-222-2-222-2-2002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i0000002-20000000000002-2000000000000000000000000
χ4222-2-222-2-20000002-20022-2-222-2-222-2-222-2-200−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i0000002-20000000000002-2000000000000000000000000
χ4322-2-222-2-20000002-20022-2-222-2-2-2-222-2-2220022-2-2-2-2222-22-2-22-220000002-2000000000000-22000000000000000000000000
χ4422-2-222-2-20000002-20022-2-222-2-2-2-222-2-22200-2-22222-2-2-22-222-22-20000002-2000000000000-22000000000000000000000000
χ4522-2-222-2-2000000-220022-2-222-2-222-2-222-2-2002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i−2i2i−2i2i000000-22000000000000-22000000000000000000000000
χ4622-2-222-2-2000000-220022-2-222-2-222-2-222-2-200−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2i−2i2i−2i000000-22000000000000-22000000000000000000000000
χ4722-2-222-2-2000000-220022-2-222-2-2-2-222-2-2220022-2-2-2-222-22-222-22-2000000-220000000000002-2000000000000000000000000
χ4822-2-222-2-2000000-220022-2-222-2-2-2-222-2-22200-2-22222-2-22-22-2-22-22000000-220000000000002-2000000000000000000000000
χ4922-2-2-2-22200002-2000022-2-2-2-222222-2-2-22-200000000002i−2i−2i2i2i−2i−2i2i00002-20000000000002-200002i−2i2i−2i000000000000000000
χ5022-2-2-2-22200002-2000022-2-2-2-222222-2-2-22-20000000000−2i2i2i−2i−2i2i2i−2i00002-20000000000002-20000−2i2i−2i2i000000000000000000
χ5122-2-2-2-22200002-2000022-2-2-2-222-2-2-2222-2200000000002-2-22-222-200002-2000000000000-2200002-2-22000000000000000000
χ5222-2-2-2-22200002-2000022-2-2-2-222-2-2-2222-220000000000-222-22-2-2200002-2000000000000-220000-222-2000000000000000000
χ5322-2-2-2-2220000-22000022-2-2-2-222222-2-2-22-200000000002i−2i−2i2i2i−2i−2i2i0000-22000000000000-220000−2i2i−2i2i000000000000000000
χ5422-2-2-2-2220000-22000022-2-2-2-222222-2-2-22-20000000000−2i2i2i−2i−2i2i2i−2i0000-22000000000000-2200002i−2i2i−2i000000000000000000
χ5522-2-2-2-2220000-22000022-2-2-2-222-2-2-2222-2200000000002-2-22-222-20000-220000000000002-20000-222-2000000000000000000
χ5622-2-2-2-2220000-22000022-2-2-2-222-2-2-2222-220000000000-222-22-2-220000-220000000000002-200002-2-22000000000000000000
χ572-22-22-22-2002-20000002-22-22-22-22-2222-2-2-2002i−2i2i−2i2i−2i2i−2i00000000002-20000000000002-200000000000000002i−2i002i−2i000000
χ582-22-22-22-2002-20000002-22-22-22-22-2222-2-2-200−2i2i−2i2i−2i2i−2i2i00000000002-20000000000002-20000000000000000−2i2i00−2i2i000000
χ592-22-22-22-2002-20000002-22-22-22-2-22-2-2-2222002-22-2-22-2200000000002-2000000000000-2200000000000000002-200-22000000
χ602-22-22-22-2002-20000002-22-22-22-2-22-2-2-222200-22-222-22-200000000002-2000000000000-220000000000000000-22002-2000000
χ612-22-22-22-200-220000002-22-22-22-22-2222-2-2-2002i−2i2i−2i2i−2i2i−2i0000000000-22000000000000-220000000000000000−2i2i00−2i2i000000
χ622-22-22-22-200-220000002-22-22-22-22-2222-2-2-200−2i2i−2i2i−2i2i−2i2i0000000000-22000000000000-2200000000000000002i−2i002i−2i000000
χ632-22-22-22-200-220000002-22-22-22-2-22-2-2-2222002-22-2-22-220000000000-220000000000002-20000000000000000-22002-2000000
χ642-22-22-22-200-220000002-22-22-22-2-22-2-2-222200-22-222-22-20000000000-220000000000002-200000000000000002-200-22000000
χ652-2-222-2-222-2000000002-2-222-2-222-2-2-22-222002-2-222-2-22000000002-20000000000002-200000000000000002-2002-200000000
χ662-2-222-2-222-2000000002-2-222-2-222-2-2-22-22200-222-2-222-2000000002-20000000000002-20000000000000000-2200-2200000000
χ672-2-222-2-222-2000000002-2-222-2-22-2222-22-2-2002i−2i−2i2i−2i2i2i−2i000000002-2000000000000-2200000000000000002i−2i00−2i2i00000000
χ682-2-222-2-222-2000000002-2-222-2-22-2222-22-2-200−2i2i2i−2i2i−2i−2i2i000000002-2000000000000-220000000000000000−2i2i002i−2i00000000
χ692-2-222-2-22-22000000002-2-222-2-222-2-2-22-222002-2-222-2-2200000000-22000000000000-220000000000000000-2200-2200000000
χ702-2-222-2-22-22000000002-2-222-2-222-2-2-22-22200-222-2-222-200000000-22000000000000-2200000000000000002-2002-200000000
χ712-2-222-2-22-22000000002-2-222-2-22-2222-22-2-2002i−2i−2i2i−2i2i2i−2i00000000-220000000000002-20000000000000000−2i2i002i−2i00000000
χ722-2-222-2-22-22000000002-2-222-2-22-2222-22-2-200−2i2i2i−2i2i−2i−2i2i00000000-220000000000002-200000000000000002i−2i00−2i2i00000000
χ73444444444444444444-1-1-1-1-1-1-1-100000000440000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ74444444444444-4-444-4-4-1-1-1-1-1-1-1-100000000-4-40000000000000000-1-1-1-111-1-111111100000000000000000000000000000000
χ754444444444-4-444-4-4-4-4-1-1-1-1-1-1-1-1000000004-40000000000000000-1-111-1-111-1-1111100000000000000000000000000000000
χ764444444444-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-440000000000000000-1-111111111-1-1-1-100000000000000000000000000000000
χ7744444444-4-44444-4-4-4-4-1-1-1-1-1-1-1-100000000-44000000000000000011-1-1-1-11111-1-11100000000000000000000000000000000
χ7844444444-4-444-4-4-4-444-1-1-1-1-1-1-1-1000000004-4000000000000000011-1-11111-1-111-1-100000000000000000000000000000000
χ7944444444-4-4-4-4444444-1-1-1-1-1-1-1-100000000-4-400000000000000001111-1-1-1-11111-1-100000000000000000000000000000000
χ8044444444-4-4-4-4-4-444-4-4-1-1-1-1-1-1-1-100000000440000000000000000111111-1-1-1-1-1-11100000000000000000000000000000000
χ814-44-4-44-4400000000004-44-4-44-444-4-44-444-40000000000000000000000000000000000000000000000000000000000000000
χ824-44-4-44-4400000000004-44-4-44-44-444-44-4-440000000000000000000000000000000000000000000000000000000000000000
χ834-4-44-444-400000000004-4-44-444-44-44-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ844-4-44-444-400000000004-4-44-444-4-44-444-44-40000000000000000000000000000000000000000000000000000000000000000
χ858888-8-8-8-8000000008i−8i-2-2-2-2222200000000000000000000000000000000000000−2i2i00000000000000000000000000000000
χ868888-8-8-8-800000000−8i8i-2-2-2-22222000000000000000000000000000000000000002i−2i00000000000000000000000000000000
χ8788-8-888-8-80000008-800-2-222-2-22200000000000000000000000000000000-2200000000000000000000000000000000000000
χ8888-8-888-8-8000000-8800-2-222-2-222000000000000000000000000000000002-200000000000000000000000000000000000000
χ8988-8-8-8-88800008-80000-2-22222-2-2000000000000000000000000000000-220000000000000000000000000000000000000000
χ9088-8-8-8-8880000-880000-2-22222-2-20000000000000000000000000000002-20000000000000000000000000000000000000000
χ918-88-88-88-8008-8000000-22-22-22-220000000000000000000000000000-22000000000000000000000000000000000000000000
χ928-88-88-88-800-88000000-22-22-22-2200000000000000000000000000002-2000000000000000000000000000000000000000000
χ938-88-8-88-880000000000-22-222-22-2000000000000000000000000000000000025−25000000000000000000000000000000000000
χ948-88-8-88-880000000000-22-222-22-20000000000000000000000000000000000−2525000000000000000000000000000000000000
χ958-8-888-8-888-800000000-222-2-222-200000000000000000000000000-2200000000000000000000000000000000000000000000
χ968-8-888-8-88-8800000000-222-2-222-2000000000000000000000000002-200000000000000000000000000000000000000000000
χ978-8-88-888-80000000000-222-22-2-2200000000000000000000000000000000000025−250000000000000000000000000000000000
χ988-8-88-888-80000000000-222-22-2-22000000000000000000000000000000000000−25250000000000000000000000000000000000

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