Finite Group Databasebeta

← Group #13028368

Character table — Group #13028368

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444451010101010101022222222224420202020202020202020202044444444101010102020202044444444444444444444444444444444442244
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
χ9111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ10111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1
χ11111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ12111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−iiiiiii−i−i−i−i-1-111
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−i−i−iiiiiii−i−iiiii−i−i−i−iii−i−i−i−i−i−iiiii-1-111
χ15111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iii−i−i−i−iiiii11-1-1
χ16111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−iiiii−i−i−i−i11-1-1
χ1711111111-1-1-1-11111-1-111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-111-1-11-11-1
χ1811111111-1-1-1-11111-1-111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-111-1-1111-11-1
χ1911111111-1-1-1-11111-1-11111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-11-11
χ2011111111-1-1-1-11111-1-11111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111111-1-111-1-1-11-11
χ2111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii-11-11
χ2211111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i-11-11
χ2311111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-11-1
χ2411111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-11-1
χ2511111111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-111-1-11-1-11
χ2611111111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1111-1-11
χ2711111111-1-1-1-1-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-111-1
χ2811111111-1-1-1-1-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-111-1
χ2911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1ii−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−iii−i−i−i−iii-111-1
χ3011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1−i−iiiiiii−i−i−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i-111-1
χ3111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1ii−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ3211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1−i−iiiiiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ33222-22-2-2-200002i2i−2i−2i00222-22-2-2-222-22-2-2-22000000002i2i−2i−2i000000002i2i−2i−2i00000000002-2002i−2i2-2002i−2i000000000000000000000000
χ34222-22-2-2-200002i2i−2i−2i00222-22-2-2-222-22-2-2-22000000002i2i−2i−2i000000002i2i−2i−2i0000000000-2200−2i2i-2200−2i2i000000000000000000000000
χ35222-22-2-2-200002i2i−2i−2i00222-22-2-2-2-2-22-2222-2000000002i2i−2i−2i00000000−2i−2i2i2i00000000002i−2i00-22−2i2i002-2000000000000000000000000
χ36222-22-2-2-200002i2i−2i−2i00222-22-2-2-2-2-22-2222-2000000002i2i−2i−2i00000000−2i−2i2i2i0000000000−2i2i002-22i−2i00-22000000000000000000000000
χ37222-22-2-2-20000−2i−2i2i2i00222-22-2-2-222-22-2-2-2200000000−2i−2i2i2i00000000−2i−2i2i2i00000000002-200−2i2i2-200−2i2i000000000000000000000000
χ38222-22-2-2-20000−2i−2i2i2i00222-22-2-2-222-22-2-2-2200000000−2i−2i2i2i00000000−2i−2i2i2i0000000000-22002i−2i-22002i−2i000000000000000000000000
χ39222-22-2-2-20000−2i−2i2i2i00222-22-2-2-2-2-22-2222-200000000−2i−2i2i2i000000002i2i−2i−2i00000000002i−2i002-2−2i2i00-22000000000000000000000000
χ40222-22-2-2-20000−2i−2i2i2i00222-22-2-2-2-2-22-2222-200000000−2i−2i2i2i000000002i2i−2i−2i0000000000−2i2i00-222i−2i002-2000000000000000000000000
χ4122-22-22-2-222-2-22i−2i2i−2i2i−2i22-22-22-2-22-22-22-2-22000022-2-22i−2i2i−2i2i2i−2i−2i22-2-22i−2i2i−2i000000002i−2i000000000000000000000000000000000000
χ4222-22-22-2-222-2-22i−2i2i−2i2i−2i22-22-22-2-2-22-22-222-2000022-2-22i−2i2i−2i2i2i−2i−2i-2-222−2i2i−2i2i00000000−2i2i000000000000000000000000000000000000
χ4322-22-22-2-222-2-2−2i2i−2i2i−2i2i22-22-22-2-22-22-22-2-22000022-2-2−2i2i−2i2i−2i−2i2i2i22-2-2−2i2i−2i2i00000000−2i2i000000000000000000000000000000000000
χ4422-22-22-2-222-2-2−2i2i−2i2i−2i2i22-22-22-2-2-22-22-222-2000022-2-2−2i2i−2i2i−2i−2i2i2i-2-2222i−2i2i−2i000000002i−2i000000000000000000000000000000000000
χ4522-22-22-2-2-2-2222i−2i2i−2i−2i2i22-22-22-2-22-22-22-2-220000-2-2222i−2i2i−2i−2i−2i2i2i-2-2222i−2i2i−2i00000000−2i2i000000000000000000000000000000000000
χ4622-22-22-2-2-2-2222i−2i2i−2i−2i2i22-22-22-2-2-22-22-222-20000-2-2222i−2i2i−2i−2i−2i2i2i22-2-2−2i2i−2i2i000000002i−2i000000000000000000000000000000000000
χ4722-22-22-2-2-2-222−2i2i−2i2i2i−2i22-22-22-2-22-22-22-2-220000-2-222−2i2i−2i2i2i2i−2i−2i-2-222−2i2i−2i2i000000002i−2i000000000000000000000000000000000000
χ4822-22-22-2-2-2-222−2i2i−2i2i2i−2i22-22-22-2-2-22-22-222-20000-2-222−2i2i−2i2i2i2i−2i−2i22-2-22i−2i2i−2i00000000−2i2i000000000000000000000000000000000000
χ4922-2-2-2-22200002-2-220022-2-2-2-2222-2-2-2-2222000000002-2-22000000002-2-220000000000002-200002-200000000002-22-2000000000000
χ5022-2-2-2-22200002-2-220022-2-2-2-2222-2-2-2-2222000000002-2-22000000002-2-22000000000000-220000-220000000000-22-22000000000000
χ5122-2-2-2-22200002-2-220022-2-2-2-222-22222-2-2-2000000002-2-2200000000-222-20000000000002i−2i0000−2i2i00000000002i−2i−2i2i000000000000
χ5222-2-2-2-22200002-2-220022-2-2-2-222-22222-2-2-2000000002-2-2200000000-222-2000000000000−2i2i00002i−2i0000000000−2i2i2i−2i000000000000
χ5322-2-2-2-2220000-222-20022-2-2-2-2222-2-2-2-222200000000-222-200000000-222-20000000000002-200002-20000000000-22-22000000000000
χ5422-2-2-2-2220000-222-20022-2-2-2-2222-2-2-2-222200000000-222-200000000-222-2000000000000-220000-2200000000002-22-2000000000000
χ5522-2-2-2-2220000-222-20022-2-2-2-222-22222-2-2-200000000-222-2000000002-2-220000000000002i−2i0000−2i2i0000000000−2i2i2i−2i000000000000
χ5622-2-2-2-2220000-222-20022-2-2-2-222-22222-2-2-200000000-222-2000000002-2-22000000000000−2i2i00002i−2i00000000002i−2i−2i2i000000000000
χ572-22-2-22-222-22-20000002-22-2-22-22222-2-2-22-200002-22-2000000002-22-2000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ582-22-2-22-222-22-20000002-22-2-22-22222-2-2-22-200002-22-2000000002-22-200000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ592-22-2-22-222-22-20000002-22-2-22-22-2-2-2222-2200002-22-200000000-22-22000000000000000000000000000000000000002-22-2-22-220000
χ602-22-2-22-222-22-20000002-22-2-22-22-2-2-2222-2200002-22-200000000-22-2200000000000000000000000000000000000000-22-222-22-20000
χ612-22-2-22-22-22-220000002-22-2-22-22222-2-2-22-20000-22-2200000000-22-22000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000
χ622-22-2-22-22-22-220000002-22-2-22-22222-2-2-22-20000-22-2200000000-22-2200000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000
χ632-22-2-22-22-22-220000002-22-2-22-22-2-2-2222-220000-22-22000000002-22-2000000000000000000000000000000000000002-2-22-222-20000
χ642-22-2-22-22-22-220000002-22-2-22-22-2-2-2222-220000-22-22000000002-22-200000000000000000000000000000000000000-222-22-2-220000
χ652-2-2-2222-22-2-220000002-2-2-2222-22-222-22-2-200002-2-22000000002-2-22000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ662-2-2-2222-22-2-220000002-2-2-2222-22-222-22-2-200002-2-22000000002-2-2200000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ672-2-2-2222-22-2-220000002-2-2-2222-2-22-2-22-22200002-2-2200000000-222-2000000000000000000000000002-22-2-22-220000000000000000
χ682-2-2-2222-22-2-220000002-2-2-2222-2-22-2-22-22200002-2-2200000000-222-200000000000000000000000000-22-222-22-20000000000000000
χ692-2-2-2222-2-222-20000002-2-2-2222-22-222-22-2-20000-222-200000000-222-2000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ702-2-2-2222-2-222-20000002-2-2-2222-22-222-22-2-20000-222-200000000-222-200000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ712-2-2-2222-2-222-20000002-2-2-2222-2-22-2-22-2220000-222-2000000002-2-22000000000000000000000000002-2-22-222-20000000000000000
χ722-2-2-2222-2-222-20000002-2-2-2222-2-22-2-22-2220000-222-2000000002-2-2200000000000000000000000000-222-22-2-220000000000000000
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
χ75444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-10000000044-4-4-1-1-1-11111111100000000-1-1-1-1111100000000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-100000000-4-444-1-1-1-111111111000000001111-1-1-1-100000000000000000000000000000000000000
χ7744444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-1000000004-44-41111-1-1-1-1111100000000-1-111-1-11100000000000000000000000000000000000000
χ7844444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-100000000-44-441111-1-1-1-111110000000011-1-111-1-100000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-1000000004-4-4411111111-1-1-1-100000000-1-11111-1-100000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-444-411111111-1-1-1-10000000011-1-1-1-11100000000000000000000000000000000000000
χ8144-44-44-4-444-4-44i−4i4i−4i4i−4i-1-11-11-111000000000000-1-111−ii−ii−i−iii000000005−55−5i5−i5i5−i500000000000000000000000000000000000000
χ8244-44-44-4-444-4-44i−4i4i−4i4i−4i-1-11-11-111000000000000-1-111−ii−ii−i−iii00000000−55−55−i5i5−i5i500000000000000000000000000000000000000
χ8344-44-44-4-444-4-4−4i4i−4i4i−4i4i-1-11-11-111000000000000-1-111i−ii−iii−i−i000000005−55−5−i5i5−i5i500000000000000000000000000000000000000
χ8444-44-44-4-444-4-4−4i4i−4i4i−4i4i-1-11-11-111000000000000-1-111i−ii−iii−i−i00000000−55−55i5−i5i5−i500000000000000000000000000000000000000
χ8544-44-44-4-4-4-4444i−4i4i−4i−4i4i-1-11-11-11100000000000011-1-1−ii−iiii−i−i000000005−5−55i5−i5−i5i500000000000000000000000000000000000000
χ8644-44-44-4-4-4-4444i−4i4i−4i−4i4i-1-11-11-11100000000000011-1-1−ii−iiii−i−i00000000−555−5−i5i5i5−i500000000000000000000000000000000000000
χ8744-44-44-4-4-4-444−4i4i−4i4i4i−4i-1-11-11-11100000000000011-1-1i−ii−i−i−iii000000005−5−55−i5i5i5−i500000000000000000000000000000000000000
χ8844-44-44-4-4-4-444−4i4i−4i4i4i−4i-1-11-11-11100000000000011-1-1i−ii−i−i−iii00000000−555−5i5−i5−i5i500000000000000000000000000000000000000
χ894-444-4-44-400000000004-444-4-44-444-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-44-400000000004-444-4-44-4-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-4400000000004-4-444-4-444-4-444-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-4400000000004-4-444-4-44-444-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ93888-88-8-8-800008i8i−8i−8i00-2-2-22-22220000000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ94888-88-8-8-80000−8i−8i8i8i00-2-2-22-222200000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9588-8-8-8-88800008-8-8800-2-22222-2-20000000000000000-222-20000000000000000000000000000000000000000000000000000000000
χ9688-8-8-8-8880000-888-800-2-22222-2-200000000000000002-2-220000000000000000000000000000000000000000000000000000000000
χ978-888-8-88-80000000000-22-2-222-22000000000000000000002i5−2i52i5−2i5000000000000000000000000000000000000000000000000000000
χ988-888-8-88-80000000000-22-2-222-2200000000000000000000−2i52i5−2i52i5000000000000000000000000000000000000000000000000000000
χ998-88-8-88-888-88-8000000-22-222-22-2000000000000-22-2200000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-88-88-88000000-22-222-22-20000000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-880000000000-222-2-222-20000000000000000000025−25−2525000000000000000000000000000000000000000000000000000000
χ1028-8-888-8-880000000000-222-2-222-200000000000000000000−252525−25000000000000000000000000000000000000000000000000000000
χ1038-8-8-8888-88-8-88000000-2222-2-2-22000000000000-222-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-8888-8-888-8000000-2222-2-2-220000000000002-2-2200000000000000000000000000000000000000000000000000000000000000

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