Finite Group Databasebeta

← Group #13022342

Character table — Group #13022342

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222224444444455558888888888101010101010101010101010101016161616161616161616161620202020202020202020202020202020404040404040404040404040
order12442224445888810202022442444101010202020222444444444441010202020202020404040404444888888888888244488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111-1-1-1-1iiii−i−i−i−i-1-1111111111111ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1ii−i−iii−i−i
χ6111111111111111111-1-1-1-11111111111-1-1-1-1−i−i−i−iiiii-1-1111111111111−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−iii−i−iii
χ7111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i1111−i−iii−i−iii
χ8111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii1111ii−i−iii−i−i
χ911111111111-1-1-1-1111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ1011111111111-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ1111111111111-1-1-1-11111111-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ1211111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ1311111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-1-1-1ii−i−i1111−i−i−i−iiiii-1-111ii−i−i−i−iii
χ1411111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-1-1-1−i−iii1111iiii−i−i−i−i-1-111−i−iiiii−i−i
χ1511111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-1ii−i−i1111−i−i−i−iiiii11-1-1−i−iiiii−i−i
χ1611111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-1−i−iii1111iiii−i−i−i−i11-1-1ii−i−i−i−iii
χ1711-1-11-1-111-11ii−i−i1-1-111-1-11-1i−i1-1-111-11-1-1-1ii−i−iii−i−i1111-1-1ii−i−iii−i−ii−ii−iii−i−i11-1-111-1-11-1i−ii−ii−i1-11-1
χ1811-1-11-1-111-11ii−i−i1-1-111-1-11-1i−i1-1-111-11-1-1-1−i−iii−i−iii1111-1-1ii−i−iii−i−i−ii−iiii−i−i-1-111-1-1111-1i−i−ii−ii-11-11
χ1911-1-11-1-111-11ii−i−i1-1-111-1-1-11−ii1-1-111-11-1-1-1ii−i−iii−i−i11-1-111−i−iiiii−i−ii−ii−iii−i−i11-1-111-1-1-11−ii−ii−ii-11-11
χ2011-1-11-1-111-11ii−i−i1-1-111-1-1-11−ii1-1-111-11-1-1-1−i−iii−i−iii11-1-111−i−iiiii−i−i−ii−iiii−i−i-1-111-1-111-11−iii−ii−i1-11-1
χ2111-1-11-1-111-11ii−i−i1-1-1-1-1111-1i−i1-1-111-1-111111-1-1-1-111-1-111-1-1ii−i−iii−i−i1-1-11−i−iii−i−iiiii−i−i-11−ii1-1-11−iii−i
χ2211-1-11-1-111-11ii−i−i1-1-1-1-1111-1i−i1-1-111-1-1111-1-11111-1-1-1-111-1-1ii−i−iii−i−i-111-1−i−iiiii−i−i−i−iii-11−ii-111-1i−i−ii
χ2311-1-11-1-111-11ii−i−i1-1-1-1-111-11−ii1-1-111-1-111111-1-1-1-111-1-1-1-111−i−iiiii−i−i1-1-11−i−iii−i−iiiii−i−i1-1i−i-111-1i−i−ii
χ2411-1-11-1-111-11ii−i−i1-1-1-1-111-11−ii1-1-111-1-1111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-111-1−i−iiiii−i−i−i−iii1-1i−i1-1-11−iii−i
χ2511-1-11-1-111-11−i−iii1-1-111-1-11-1−ii1-1-111-11-1-1-1ii−i−iii−i−i1111-1-1−i−iii−i−iiii−ii−i−i−iii-1-111-1-1111-1−iii−ii−i-11-11
χ2611-1-11-1-111-11−i−iii1-1-111-1-11-1−ii1-1-111-11-1-1-1−i−iii−i−iii1111-1-1−i−iii−i−iii−ii−ii−i−iii11-1-111-1-11-1−ii−ii−ii1-11-1
χ2711-1-11-1-111-11−i−iii1-1-111-1-1-11i−i1-1-111-11-1-1-1ii−i−iii−i−i11-1-111ii−i−i−i−iiii−ii−i−i−iii-1-111-1-111-11i−i−ii−ii1-11-1
χ2811-1-11-1-111-11−i−iii1-1-111-1-1-11i−i1-1-111-11-1-1-1−i−iii−i−iii11-1-111ii−i−i−i−iii−ii−ii−i−iii11-1-111-1-1-11i−ii−ii−i-11-11
χ2911-1-11-1-111-11−i−iii1-1-1-1-1111-1−ii1-1-111-1-111111-1-1-1-111-1-111-1-1−i−iii−i−iii1-1-11ii−i−iii−i−i−i−iii-11i−i1-1-11i−i−ii
χ3011-1-11-1-111-11−i−iii1-1-1-1-1111-1−ii1-1-111-1-1111-1-11111-1-1-1-111-1-1−i−iii−i−iii-111-1ii−i−i−i−iiiii−i−i-11i−i-111-1−iii−i
χ3111-1-11-1-111-11−i−iii1-1-1-1-111-11i−i1-1-111-1-111111-1-1-1-111-1-1-1-111ii−i−i−i−iii1-1-11ii−i−iii−i−i−i−iii1-1−ii-111-1−iii−i
χ3211-1-11-1-111-11−i−iii1-1-1-1-111-11i−i1-1-111-1-1111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-111-1ii−i−i−i−iiiii−i−i1-1−ii1-1-11i−i−ii
χ3322222-2-2-2-2220000222222200002-2-2-2-222-2-2200000000-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ3422222-2-2-2-2220000222222200002-2-2-2-222-2-2200000000-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ3522222-2-2-2-2220000222-2-2-2-200002-2-2-2-22-222-20000000022000000000000000000002-22-2-22-22000000000000
χ3622222-2-2-2-2220000222-2-2-2-200002-2-2-2-22-222-2000000002200000000000000000000-22-222-22-2000000000000
χ372222-22-22-2-22000022222220000-22-22-2-2-2-22-2222222222-2000000000000-2-2-2-2000000000000000000000000
χ382222-22-22-2-22000022222220000-22-22-2-2-2-22-2-2-2-2-2-2-2-2-22-20000000000002222000000000000000000000000
χ392222-22-22-2-220000222-2-2-2-20000-22-22-2-222-222i2i2i2i−2i−2i−2i−2i-22000000000000−2i−2i2i2i000000000000000000000000
χ402222-22-22-2-220000222-2-2-2-20000-22-22-2-222-22−2i−2i−2i−2i2i2i2i2i-220000000000002i2i−2i−2i000000000000000000000000
χ412222-2-22-22-222-22-222222220000-2-22-22-2-22-2-200000000-22000000002-22-200002-22-200000000000000000000
χ422222-2-22-22-222-22-2222-2-2-2-20000-2-22-22-22-222000000002-2000000002-22-20000-22-2200000000000000000000
χ432222-2-22-22-22-22-2222222220000-2-22-22-2-22-2-200000000-2200000000-22-220000-22-2200000000000000000000
χ442222-2-22-22-22-22-22222-2-2-2-20000-2-22-22-22-222000000002-200000000-22-2200002-22-200000000000000000000
χ4522-2-2222-2-2-2200002-2-222-2-20000222-2-2-2222-200000000-2-2000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ4622-2-2222-2-2-2200002-2-222-2-20000222-2-2-2222-200000000-2-200000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ4722-2-2222-2-2-2200002-2-2-2-2220000222-2-2-2-2-2-220000000022000000000000000000002-2-22-222-2000000000000
χ4822-2-2222-2-2-2200002-2-2-2-2220000222-2-2-2-2-2-22000000002200000000000000000000-222-22-2-22000000000000
χ4922-2-2-22-2-22222i−2i−2i2i2-2-222-2-20000-22-2-222-2-22200000000-22000000002i−2i−2i2i00002i−2i−2i2i00000000000000000000
χ5022-2-2-22-2-22222i−2i−2i2i2-2-2-2-2220000-22-2-22222-2-2000000002-2000000002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ5122-2-2-22-2-2222−2i2i2i−2i2-2-222-2-20000-22-2-222-2-22200000000-2200000000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
χ5222-2-2-22-2-2222−2i2i2i−2i2-2-2-2-2220000-22-2-22222-2-2000000002-200000000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ5322-2-2-2-222-22200002-2-222-2-20000-2-222-22-22-222i2i−2i−2i2i2i−2i−2i2-2000000000000−2i2i−2i2i000000000000000000000000
χ5422-2-2-2-222-22200002-2-222-2-20000-2-222-22-22-22−2i−2i2i2i−2i−2i2i2i2-20000000000002i−2i2i−2i000000000000000000000000
χ5522-2-2-2-222-22200002-2-2-2-2220000-2-222-222-22-222-2-2-2-222-22000000000000-222-2000000000000000000000000
χ5622-2-2-2-222-22200002-2-2-2-2220000-2-222-222-22-2-2-22222-2-2-220000000000002-2-22000000000000000000000000
χ574444444444-14444-1-1-100004444-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ584444444444-14444-1-1-10000-4-4-4-4-1-1-1-1-1-10000000000000011111111-1-1-1-10000000000000000000000000000
χ594444444444-1-4-4-4-4-1-1-1000044-4-4-1-1-1-1-1-100000000000000-1-1-1-1111111110000000000000000000000000000
χ604444444444-1-4-4-4-4-1-1-10000-4-444-1-1-1-1-1-1000000000000001111-1-1-1-111110000000000000000000000000000
χ614444-4-44-44-4-14-44-4-1-1-10000000011-11-11000000000000005−55−55−55−5-11-110000000000000000000000000000
χ624444-4-44-44-4-14-44-4-1-1-10000000011-11-1100000000000000−55−55−55−55-11-110000000000000000000000000000
χ634444-4-44-44-4-1-44-44-1-1-10000000011-11-11000000000000005−55−5−55−551-11-10000000000000000000000000000
χ644444-4-44-44-4-1-44-44-1-1-10000000011-11-1100000000000000−55−555−55−51-11-10000000000000000000000000000
χ6544-4-44-4-444-4-14i4i−4i−4i-11100004-44i−4i-111-1-1100000000000000-1-111−i−iii−i−iii0000000000000000000000000000
χ6644-4-44-4-444-4-14i4i−4i−4i-1110000-44−4i4i-111-1-110000000000000011-1-1ii−i−i−i−iii0000000000000000000000000000
χ6744-4-44-4-444-4-1−4i−4i4i4i-11100004-4−4i4i-111-1-1100000000000000-1-111ii−i−iii−i−i0000000000000000000000000000
χ6844-4-44-4-444-4-1−4i−4i4i4i-1110000-444i−4i-111-1-110000000000000011-1-1−i−iiiii−i−i0000000000000000000000000000
χ6944-4-4-44-4-444-14i−4i−4i4i-111000000001-111-1-1000000000000005−5−55i5−i5−i5i5−iii−i0000000000000000000000000000
χ7044-4-4-44-4-444-14i−4i−4i4i-111000000001-111-1-100000000000000−555−5−i5i5i5−i5−iii−i0000000000000000000000000000
χ7144-4-4-44-4-444-1−4i4i4i−4i-111000000001-111-1-1000000000000005−5−55−i5i5i5−i5i−i−ii0000000000000000000000000000
χ7244-4-4-44-4-444-1−4i4i4i−4i-111000000001-111-1-100000000000000−555−5i5−i5−i5i5i−i−ii0000000000000000000000000000
χ734-44i−4i00000040000-44i−4i4-44i−4i000000000000002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i000000000000000000000000000000000000000000
χ744-44i−4i00000040000-44i−4i4-44i−4i00000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i000000000000000000000000000000000000000000
χ754-44i−4i00000040000-44i−4i-44−4i4i000000000000002−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i000000000000000000000000000000000000000000
χ764-44i−4i00000040000-44i−4i-44−4i4i00000000000000−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i000000000000000000000000000000000000000000
χ774-4−4i4i00000040000-4−4i4i4-4−4i4i000000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i000000000000000000000000000000000000000000
χ784-4−4i4i00000040000-4−4i4i4-4−4i4i00000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i000000000000000000000000000000000000000000
χ794-4−4i4i00000040000-4−4i4i-444i−4i000000000000002+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i000000000000000000000000000000000000000000
χ804-4−4i4i00000040000-4−4i4i-444i−4i00000000000000−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i000000000000000000000000000000000000000000
χ8188888-8-8-8-88-20000-2-2-200000000-22222-2000000000000000000000000000000000000000000000000000000
χ828888-88-88-8-8-20000-2-2-2000000002-22-222000000000000000000000000000000000000000000000000000000
χ8388-8-8888-8-8-8-20000-22200000000-2-2-2222000000000000000000000000000000000000000000000000000000
χ8488-8-8-8-888-88-20000-2220000000022-2-22-2000000000000000000000000000000000000000000000000000000
χ8516-1616i−16i000000-400004−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ8616-16−16i16i000000-4000044i−4i00000000000000000000000000000000000000000000000000000000000000000000

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