Finite Group Databasebeta

← Group #13028416

Character table — Group #13028416

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111144444444444444444455555555881010101010101010101010101010101016161616161616161616161616162020202020202020202020202020202020202020202020202020404040404040
order12222222222244444451010101010101022222222244444444444444444101010101010202020202020202022224444444444444444444444244444
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−i11111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1i−ii−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−i−i−iiiii−i−i−i−iiiii-1-1−ii−ii
χ511111111111111-1-1-1-11111111111111111-1-111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11−ii−ii
χ811111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11i−ii−i
χ91111111111-1-1-1-111-1-111111111111111111-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-1-1-111
χ101111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-111-1-1
χ111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-111-1-1-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii-11−iii−i
χ121111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-111-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i-11i−i−ii
χ131111111111-1-1-1-1-1-1111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1111-1-1
χ141111111111-1-1-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111
χ151111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-11111-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii1-1i−i−ii
χ161111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-11111-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1−iii−i
χ1711111111-1-111-1-111-1-11111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1111-1-1
χ1811111111-1-111-1-111-1-11111111111111111-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-11-1-111
χ1911111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-11111-1-111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i1-1i−i−ii
χ2011111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-11111-1-111-1-111-1-111−i−iiiii−i−iii−i−i−i−iii1-1−iii−i
χ2111111111-1-111-1-1-1-11111111111111111111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1111-1-1-111
χ2211111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-11-111-1-1
χ2311111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-11−iii−i
χ2411111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-11i−i−ii
χ2511111111-1-1-1-11111111111111111111111-1-11111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111
χ2711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11−ii−ii
χ2811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11i−ii−i
χ2911111111-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3011111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1
χ3111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111-1-11111-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1i−ii−i
χ3211111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111-1-11111-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1−ii−ii
χ3322-2-222-2-2000000002-222-2-222-2-222-222-2-2-200000000002i2i−2i−2i2i2i−2i−2i0000000000002-2000000002-22i−2i002i−2i0000000000000000
χ3422-2-222-2-2000000002-222-2-222-2-222-222-2-2-20000000000−2i−2i2i2i−2i−2i2i2i0000000000002-2000000002-2−2i2i00−2i2i0000000000000000
χ3522-2-222-2-2000000002-222-2-222-2-2-2-22-2-2222000000000022-2-2-2-2220000000000002-200000000-222-200-220000000000000000
χ3622-2-222-2-2000000002-222-2-222-2-2-2-22-2-22220000000000-2-22222-2-20000000000002-200000000-22-22002-20000000000000000
χ3722-2-222-2-200000000-2222-2-222-2-222-222-2-2-200000000002i2i−2i−2i2i2i−2i−2i000000000000-2200000000-22−2i2i00−2i2i0000000000000000
χ3822-2-222-2-200000000-2222-2-222-2-222-222-2-2-20000000000−2i−2i2i2i−2i−2i2i2i000000000000-2200000000-222i−2i002i−2i0000000000000000
χ3922-2-222-2-200000000-2222-2-222-2-2-2-22-2-2222000000000022-2-2-2-222000000000000-22000000002-2-22002-20000000000000000
χ4022-2-222-2-200000000-2222-2-222-2-2-2-22-2-22220000000000-2-22222-2-2000000000000-22000000002-22-200-220000000000000000
χ4122-2-2-2-2222-20000000022-2-2-2-2222-222-22-2-2002i2i−2i−2i2i2i−2i−2i000000002-20000000000002-200000000000000002i−2i002i−2i00000000
χ4222-2-2-2-2222-20000000022-2-2-2-2222-222-22-2-200−2i−2i2i2i−2i−2i2i2i000000002-20000000000002-20000000000000000−2i2i00−2i2i00000000
χ4322-2-2-2-2222-20000000022-2-2-2-222-22-2-22-2220022-2-2-2-222000000002-2000000000000-2200000000000000002-200-2200000000
χ4422-2-2-2-2222-20000000022-2-2-2-222-22-2-22-22200-2-22222-2-2000000002-2000000000000-220000000000000000-22002-200000000
χ4522-2-2-2-222-220000000022-2-2-2-2222-222-22-2-2002i2i−2i−2i2i2i−2i−2i00000000-22000000000000-220000000000000000−2i2i00−2i2i00000000
χ4622-2-2-2-222-220000000022-2-2-2-2222-222-22-2-200−2i−2i2i2i−2i−2i2i2i00000000-22000000000000-2200000000000000002i−2i002i−2i00000000
χ4722-2-2-2-222-220000000022-2-2-2-222-22-2-22-2220022-2-2-2-22200000000-220000000000002-20000000000000000-22002-200000000
χ4822-2-2-2-222-220000000022-2-2-2-222-22-2-22-22200-2-22222-2-200000000-220000000000002-200000000000000002-200-2200000000
χ492-22-22-22-20000002-2002-22-22-22-22-22-22-22-200000000002i−2i2i−2i2i−2i2i−2i000000002-200000000002-200002i−2i002i−2i00000000000000
χ502-22-22-22-20000002-2002-22-22-22-22-22-22-22-20000000000−2i2i−2i2i−2i2i−2i2i000000002-200000000002-20000−2i2i00−2i2i00000000000000
χ512-22-22-22-20000002-2002-22-22-22-2-22-22-22-2200000000002-22-2-22-22000000002-20000000000-2200002-200-2200000000000000
χ522-22-22-22-20000002-2002-22-22-22-2-22-22-22-220000000000-22-222-22-2000000002-20000000000-220000-22002-200000000000000
χ532-22-22-22-2000000-22002-22-22-22-22-22-22-22-200000000002i−2i2i−2i2i−2i2i−2i00000000-220000000000-220000−2i2i00−2i2i00000000000000
χ542-22-22-22-2000000-22002-22-22-22-22-22-22-22-20000000000−2i2i−2i2i−2i2i−2i2i00000000-220000000000-2200002i−2i002i−2i00000000000000
χ552-22-22-22-2000000-22002-22-22-22-2-22-22-22-2200000000002-22-2-22-2200000000-2200000000002-20000-22002-200000000000000
χ562-22-22-22-2000000-22002-22-22-22-2-22-22-22-220000000000-22-222-22-200000000-2200000000002-200002-200-2200000000000000
χ572-22-2-22-22002-20000002-22-2-22-2222-2-2-222-2002i−2i2i−2i2i−2i2i−2i00000000002-20000000000002-200000000000000002i−2i002i−2i000000
χ582-22-2-22-22002-20000002-22-2-22-2222-2-2-222-200−2i2i−2i2i−2i2i−2i2i00000000002-20000000000002-20000000000000000−2i2i00−2i2i000000
χ592-22-2-22-22002-20000002-22-2-22-22-2-2222-2-22002-22-2-22-2200000000002-2000000000000-2200000000000000002-200-22000000
χ602-22-2-22-22002-20000002-22-2-22-22-2-2222-2-2200-22-222-22-200000000002-2000000000000-220000000000000000-22002-2000000
χ612-22-2-22-2200-220000002-22-2-22-2222-2-2-222-2002i−2i2i−2i2i−2i2i−2i0000000000-22000000000000-220000000000000000−2i2i00−2i2i000000
χ622-22-2-22-2200-220000002-22-2-22-2222-2-2-222-200−2i2i−2i2i−2i2i−2i2i0000000000-22000000000000-2200000000000000002i−2i002i−2i000000
χ632-22-2-22-2200-220000002-22-2-22-22-2-2222-2-22002-22-2-22-220000000000-220000000000002-20000000000000000-22002-2000000
χ642-22-2-22-2200-220000002-22-2-22-22-2-2222-2-2200-22-222-22-20000000000-220000000000002-200000000000000002-200-22000000
χ652-2-222-2-2200002-200002-2-222-2-222-2-2-222-22002-2-222-2-222-2-222-2-220000002-200000000002-200000000000000000000000000
χ662-2-222-2-2200002-200002-2-222-2-222-2-2-222-2200-222-2-222-2-222-2-222-20000002-200000000002-200000000000000000000000000
χ672-2-222-2-2200002-200002-2-222-2-22-2222-2-22-2002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000002-20000000000-2200000000000000000000000000
χ682-2-222-2-2200002-200002-2-222-2-22-2222-2-22-200−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000002-20000000000-2200000000000000000000000000
χ692-2-222-2-220000-2200002-2-222-2-222-2-2-222-22002-2-222-2-22-222-2-222-2000000-220000000000-2200000000000000000000000000
χ702-2-222-2-220000-2200002-2-222-2-222-2-2-222-2200-222-2-222-22-2-222-2-22000000-220000000000-2200000000000000000000000000
χ712-2-222-2-220000-2200002-2-222-2-22-2222-2-22-2002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000-2200000000002-200000000000000000000000000
χ722-2-222-2-220000-2200002-2-222-2-22-2222-2-22-200−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000-2200000000002-200000000000000000000000000
χ73444444444444444444-1-1-1-1-1-1-1-100000000440000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ7444444444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-4-40000000000000000-1-1-1-111-1-111111100000000000000000000000000000000
χ754444444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1000000004-40000000000000000-1-111-1-111-1-1111100000000000000000000000000000000
χ764444444444-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-440000000000000000-1-111111111-1-1-1-100000000000000000000000000000000
χ7744444444-4-444-4-444-4-4-1-1-1-1-1-1-1-100000000-44000000000000000011-1-11111-1-1-1-11100000000000000000000000000000000
χ7844444444-4-444-4-4-4-444-1-1-1-1-1-1-1-1000000004-4000000000000000011-1-1-1-1111111-1-100000000000000000000000000000000
χ7944444444-4-4-4-4444444-1-1-1-1-1-1-1-100000000-4-40000000000000000111111-1-1-1-111-1-100000000000000000000000000000000
χ8044444444-4-4-4-444-4-4-4-4-1-1-1-1-1-1-1-1000000004400000000000000001111-1-1-1-111-1-11100000000000000000000000000000000
χ814444-4-4-4-400000000004444-4-4-4-44-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000
χ824444-4-4-4-400000000004444-4-4-4-4-444-444-4-40000000000000000000000000000000000000000000000000000000000000000
χ834-4-44-444-400000000004-4-44-444-4444-4-4-4-440000000000000000000000000000000000000000000000000000000000000000
χ844-4-44-444-400000000004-4-44-444-4-4-4-44444-40000000000000000000000000000000000000000000000000000000000000000
χ858888-8-8-8-80000000000-2-2-2-222220000000000000000000000000000000000002i5−2i50000000000000000000000000000000000
χ868888-8-8-8-80000000000-2-2-2-22222000000000000000000000000000000000000−2i52i50000000000000000000000000000000000
χ8788-8-888-8-8000000008-8-2-222-2-22200000000000000000000000000000000000000-2200000000000000000000000000000000
χ8888-8-888-8-800000000-88-2-222-2-222000000000000000000000000000000000000002-200000000000000000000000000000000
χ8988-8-8-8-8888-800000000-2-22222-2-200000000000000000000000000-2200000000000000000000000000000000000000000000
χ9088-8-8-8-888-8800000000-2-22222-2-2000000000000000000000000002-200000000000000000000000000000000000000000000
χ918-88-88-88-80000008-800-22-22-22-220000000000000000000000000000000000-22000000000000000000000000000000000000
χ928-88-88-88-8000000-8800-22-22-22-2200000000000000000000000000000000002-2000000000000000000000000000000000000
χ938-88-8-88-88008-8000000-22-222-22-20000000000000000000000000000-22000000000000000000000000000000000000000000
χ948-88-8-88-8800-88000000-22-222-22-200000000000000000000000000002-2000000000000000000000000000000000000000000
χ958-8-888-8-8800008-80000-222-2-222-200000000000000000000000000000000-2200000000000000000000000000000000000000
χ968-8-888-8-880000-880000-222-2-222-2000000000000000000000000000000002-200000000000000000000000000000000000000
χ978-8-88-888-80000000000-222-22-2-2200000000000000000000000000000025−250000000000000000000000000000000000000000
χ988-8-88-888-80000000000-222-22-2-22000000000000000000000000000000−25250000000000000000000000000000000000000000

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