Finite Group Databasebeta

← Group #13028373

Character table — Group #13028373

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444451010101010101022222222244420202020202020202020202044444444101020202020202044444444444444444444444444444444442444
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
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1iiiiii−i−i−i−i−i−iiiii−i−i−i−iii−i−iiiii−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−iiiiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiii1111
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−iiiiiiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i1111
χ9111111111111-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-1-11
χ10111111111111-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-111-1-1111-1-11
χ11111111111111-1-1-1-1-1-11111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-111-1
χ12111111111111-1-1-1-1-1-11111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-111-1-1-111-1
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii-111-1
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i-111-1
χ15111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111iiii−i−i−i−i−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-11
χ16111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111−i−i−i−iiiiiii−i−iii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-11
χ1711111111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1
χ1811111111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111-1-111-1-111-1-1
χ1911111111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-111
χ2011111111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111
χ2111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i-1-111
χ2211111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii-1-111
χ2311111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1
χ2411111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1
χ2511111111-1-1-1-1-1-1-1-11111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1
χ2611111111-1-1-1-1-1-1-1-11111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1
χ2711111111-1-1-1-1-1-1-1-1111111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11
χ2811111111-1-1-1-1-1-1-1-1111111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11
χ2911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−i−i−iiiii-11-11
χ3011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiiiii−i−i−i−i-11-11
χ3111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1ii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−iiiii−i−i−i−i1-11-1
χ3211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii1-11-1
χ3322-222-2-2-200002i2i−2i−2i0022-222-2-2-222-22-2-2-220000000000002i2i−2i−2i00002i2i−2i−2i00000000002i−2i002-22i−2i002-2000000000000000000000000
χ3422-222-2-2-200002i2i−2i−2i0022-222-2-2-222-22-2-2-220000000000002i2i−2i−2i00002i2i−2i−2i0000000000−2i2i00-22−2i2i00-22000000000000000000000000
χ3522-222-2-2-200002i2i−2i−2i0022-222-2-2-2-2-22-2222-20000000000002i2i−2i−2i0000−2i−2i2i2i00000000002-200−2i2i-22002i−2i000000000000000000000000
χ3622-222-2-2-200002i2i−2i−2i0022-222-2-2-2-2-22-2222-20000000000002i2i−2i−2i0000−2i−2i2i2i0000000000-22002i−2i2-200−2i2i000000000000000000000000
χ3722-222-2-2-20000−2i−2i2i2i0022-222-2-2-222-22-2-2-22000000000000−2i−2i2i2i0000−2i−2i2i2i00000000002i−2i00-222i−2i00-22000000000000000000000000
χ3822-222-2-2-20000−2i−2i2i2i0022-222-2-2-222-22-2-2-22000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000−2i2i002-2−2i2i002-2000000000000000000000000
χ3922-222-2-2-20000−2i−2i2i2i0022-222-2-2-2-2-22-2222-2000000000000−2i−2i2i2i00002i2i−2i−2i00000000002-2002i−2i-2200−2i2i000000000000000000000000
χ4022-222-2-2-20000−2i−2i2i2i0022-222-2-2-2-2-22-2222-2000000000000−2i−2i2i2i00002i2i−2i−2i0000000000-2200−2i2i2-2002i−2i000000000000000000000000
χ4122-2-2-222-22i2i−2i−2i00000022-2-2-222-22-22-22-2-2200002i2i−2i−2i000000002i2i−2i−2i000000000000000000000000002i−2i002i−2i0000002-2002-2000000
χ4222-2-2-222-22i2i−2i−2i00000022-2-2-222-22-22-22-2-2200002i2i−2i−2i000000002i2i−2i−2i00000000000000000000000000−2i2i00−2i2i000000-2200-22000000
χ4322-2-2-222-22i2i−2i−2i00000022-2-2-222-2-22-22-222-200002i2i−2i−2i00000000−2i−2i2i2i000000000000000000000000002-200-22000000−2i2i002i−2i000000
χ4422-2-2-222-22i2i−2i−2i00000022-2-2-222-2-22-22-222-200002i2i−2i−2i00000000−2i−2i2i2i00000000000000000000000000-22002-20000002i−2i00−2i2i000000
χ4522-2-2-222-2−2i−2i2i2i00000022-2-2-222-22-22-22-2-220000−2i−2i2i2i00000000−2i−2i2i2i000000000000000000000000002i−2i002i−2i000000-2200-22000000
χ4622-2-2-222-2−2i−2i2i2i00000022-2-2-222-22-22-22-2-220000−2i−2i2i2i00000000−2i−2i2i2i00000000000000000000000000−2i2i00−2i2i0000002-2002-2000000
χ4722-2-2-222-2−2i−2i2i2i00000022-2-2-222-2-22-22-222-20000−2i−2i2i2i000000002i2i−2i−2i000000000000000000000000002-200-220000002i−2i00−2i2i000000
χ4822-2-2-222-2−2i−2i2i2i00000022-2-2-222-2-22-22-222-20000−2i−2i2i2i000000002i2i−2i−2i00000000000000000000000000-22002-2000000−2i2i002i−2i000000
χ492-222-22-2-22i−2i2i−2i2i−2i2i−2i2-22-222-22-2-22-2-222-22-200002i−2i2i−2i22-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000002-2000000000000000000000000000000000000
χ502-222-22-2-22i−2i2i−2i2i−2i2i−2i2-22-222-22-2-2-222-2-22-2200002i−2i2i−2i22-2-22i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000-22000000000000000000000000000000000000
χ512-222-22-2-22i−2i2i−2i−2i2i−2i2i-222-222-22-2-22-2-222-22-200002i−2i2i−2i-2-222−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000-22000000000000000000000000000000000000
χ522-222-22-2-22i−2i2i−2i−2i2i−2i2i-222-222-22-2-2-222-2-22-2200002i−2i2i−2i-2-222−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000002-2000000000000000000000000000000000000
χ532-222-22-2-2−2i2i−2i2i2i−2i2i−2i-222-222-22-2-22-2-222-22-20000−2i2i−2i2i-2-2222i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000-22000000000000000000000000000000000000
χ542-222-22-2-2−2i2i−2i2i2i−2i2i−2i-222-222-22-2-2-222-2-22-220000−2i2i−2i2i-2-2222i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000002-2000000000000000000000000000000000000
χ552-222-22-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-22-2-22-2-222-22-20000−2i2i−2i2i22-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002-2000000000000000000000000000000000000
χ562-222-22-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-22-2-2-222-2-22-220000−2i2i−2i2i22-2-2−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000-22000000000000000000000000000000000000
χ572-2-22-2-22200002-2-22002-2-22-2-2222-222-22-2-20000000000002-2-2200002-2-220000000000002i−2i00002i−2i00000000002i−2i2i−2i000000000000
χ582-2-22-2-22200002-2-22002-2-22-2-2222-222-22-2-20000000000002-2-2200002-2-22000000000000−2i2i0000−2i2i0000000000−2i2i−2i2i000000000000
χ592-2-22-2-22200002-2-22002-2-22-2-222-22-2-22-2220000000000002-2-220000-222-20000000000002-20000-2200000000002-2-22000000000000
χ602-2-22-2-22200002-2-22002-2-22-2-222-22-2-22-2220000000000002-2-220000-222-2000000000000-2200002-20000000000-222-2000000000000
χ612-2-22-2-2220000-222-2002-2-22-2-2222-222-22-2-2000000000000-222-20000-222-20000000000002i−2i00002i−2i0000000000−2i2i−2i2i000000000000
χ622-2-22-2-2220000-222-2002-2-22-2-2222-222-22-2-2000000000000-222-20000-222-2000000000000−2i2i0000−2i2i00000000002i−2i2i−2i000000000000
χ632-2-22-2-2220000-222-2002-2-22-2-222-22-2-22-222000000000000-222-200002-2-220000000000002-20000-220000000000-222-2000000000000
χ642-2-22-2-2220000-222-2002-2-22-2-222-22-2-22-222000000000000-222-200002-2-22000000000000-2200002-200000000002-2-22000000000000
χ652-2-2-222-222-2-220000002-2-2-222-2222-2-222-2-200002-2-22000000002-2-2200000000000000000000000000002i−2i002i−2i0000002i−2i002i−2i0000
χ662-2-2-222-222-2-220000002-2-2-222-2222-2-222-2-200002-2-22000000002-2-220000000000000000000000000000−2i2i00−2i2i000000−2i2i00−2i2i0000
χ672-2-2-222-222-2-220000002-2-2-222-22-2-222-2-22200002-2-2200000000-222-200000000000000000000000000002-200-220000002-200-220000
χ682-2-2-222-222-2-220000002-2-2-222-22-2-222-2-22200002-2-2200000000-222-20000000000000000000000000000-22002-2000000-22002-20000
χ692-2-2-222-22-222-20000002-2-2-222-2222-2-222-2-20000-222-200000000-222-200000000000000000000000000002i−2i002i−2i000000−2i2i00−2i2i0000
χ702-2-2-222-22-222-20000002-2-2-222-2222-2-222-2-20000-222-200000000-222-20000000000000000000000000000−2i2i00−2i2i0000002i−2i002i−2i0000
χ712-2-2-222-22-222-20000002-2-2-222-22-2-222-2-2220000-222-2000000002-2-2200000000000000000000000000002-200-22000000-22002-20000
χ722-2-2-222-22-222-20000002-2-2-222-22-2-222-2-2220000-222-2000000002-2-220000000000000000000000000000-22002-20000002-200-220000
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
χ75444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-1000000004-4-44-1-1-1-11111111100000000-1-11111-1-100000000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-100000000-444-4-1-1-1-1111111110000000011-1-1-1-11100000000000000000000000000000000000000
χ7744444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-10000000044-4-411111111-1-1-1-100000000-1-1-1-1111100000000000000000000000000000000000000
χ7844444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-100000000-4-44411111111-1-1-1-1000000001111-1-1-1-100000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-1000000004-44-41111-1-1-1-1111100000000-1-111-1-11100000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-44-441111-1-1-1-111110000000011-1-111-1-100000000000000000000000000000000000000
χ81444-4-4-4-440000000000444-4-4-4-444-4-4-4-44440000000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-440000000000444-4-4-4-44-44444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ834-444-44-4-44i−4i4i−4i4i−4i4i−4i4-4-11-1-11-111000000000000−ii−ii-1-111−ii−ii000000005−5i5−i55−5i5−i500000000000000000000000000000000000000
χ844-444-44-4-44i−4i4i−4i4i−4i4i−4i4-4-11-1-11-111000000000000−ii−ii-1-111−ii−ii00000000−55−i5i5−55−i5i500000000000000000000000000000000000000
χ854-444-44-4-44i−4i4i−4i−4i4i−4i4i-44-11-1-11-111000000000000−ii−ii11-1-1i−ii−i000000005−5−i5i5−55i5−i500000000000000000000000000000000000000
χ864-444-44-4-44i−4i4i−4i−4i4i−4i4i-44-11-1-11-111000000000000−ii−ii11-1-1i−ii−i00000000−55i5−i55−5−i5i500000000000000000000000000000000000000
χ874-444-44-4-4−4i4i−4i4i4i−4i4i−4i-44-11-1-11-111000000000000i−ii−i11-1-1−ii−ii000000005−5i5−i5−55−i5i500000000000000000000000000000000000000
χ884-444-44-4-4−4i4i−4i4i4i−4i4i−4i-44-11-1-11-111000000000000i−ii−i11-1-1−ii−ii00000000−55−i5i55−5i5−i500000000000000000000000000000000000000
χ894-444-44-4-4−4i4i−4i4i−4i4i−4i4i4-4-11-1-11-111000000000000i−ii−i-1-111i−ii−i000000005−5−i5i55−5−i5i500000000000000000000000000000000000000
χ904-444-44-4-4−4i4i−4i4i−4i4i−4i4i4-4-11-1-11-111000000000000i−ii−i-1-111i−ii−i00000000−55i5−i5−55i5−i500000000000000000000000000000000000000
χ914-44-44-44-400000000004-44-44-44-4444-4-4-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-44-400000000004-44-44-44-4-4-4-4444-440000000000000000000000000000000000000000000000000000000000000000000000
χ93888-8-8-8-880000000000-2-2-22222-200000000000000002i5−2i52i5−2i50000000000000000000000000000000000000000000000000000000000
χ94888-8-8-8-880000000000-2-2-22222-20000000000000000−2i52i5−2i52i50000000000000000000000000000000000000000000000000000000000
χ9588-888-8-8-800008i8i−8i−8i00-2-22-2-222200000000000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ9688-888-8-8-80000−8i−8i8i8i00-2-22-2-2222000000000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ9788-8-8-888-88i8i−8i−8i000000-2-2222-2-22000000000000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-888-8−8i−8i8i8i000000-2-2222-2-220000000000002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ998-88-88-88-80000000000-22-22-22-2200000000000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000
χ1008-88-88-88-80000000000-22-22-22-220000000000000000−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8-88800008-8-8800-222-222-2-200000000000000000000-222-2000000000000000000000000000000000000000000000000000000
χ1028-8-88-8-8880000-888-800-222-222-2-2000000000000000000002-2-22000000000000000000000000000000000000000000000000000000
χ1038-8-8-888-888-8-88000000-2222-2-22-2000000000000-222-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-888-88-888-8000000-2222-2-22-20000000000002-2-2200000000000000000000000000000000000000000000000000000000000000

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