Finite Group Databasebeta

← Group #13028706

Character table — Group #13028706

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111144444444444444444455555555888888888888881616161616161616202020202020202020202020202020202020202020202020202040404040404040404040
order12222222224444444451010101010101022222222442020202020202020202020201010202020202020224444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1ii−i−iii−i−i
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1−i−iii−i−iii
χ5111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ6111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11-11-11
χ7111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11i−i−iii−i−ii
χ8111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11−iii−i−iii−i
χ91111111111-1-111-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1111111111-1-1-1-1-11-11-1
χ101111111111-1-111-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11111-11-11
χ111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111ii−i−i−i−iiiiiii−i−i−i−i-11−i−iiii−i−ii
χ121111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111−i−iiiii−i−i−i−i−i−iiiii-11ii−i−i−iii−i
χ131111111111-1-1-1-111-1-11111111111111111-11-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-111111
χ141111111111-1-1-1-111-1-11111111111111111-11-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111111111-111-11-1-1-1-1-1
χ151111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111ii−i−i−i−iii−i−i−i−iiiii1-1−iii−iii−i−i
χ161111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111−i−iiiii−i−iiiii−i−i−i−i1-1i−i−ii−i−iii
χ1711111111-1-11111-1-1-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111111111-1-111-1-1-11-11-11-1-1-1-1
χ1811111111-1-11111-1-1-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11-11111
χ1911111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii1-1−iii−i−i−iii
χ2011111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i1-1i−i−iiii−i−i
χ2111111111-1-111-1-111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-111-1-1111-1-1-1-1-1-11-11
χ2211111111-1-111-1-111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111111-11-1
χ2311111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111iiii−i−i−i−i−i−iiiii−i−i-11−i−iii−iii−i
χ2411111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111−i−i−i−iiiiiii−i−i−i−iii-11ii−i−ii−i−ii
χ2511111111-1-1-1-11111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11-11-1-11-11
χ2611111111-1-1-1-11111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-11-111-11-1
χ2711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11i−i−ii−iii−i
χ2811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11−iii−ii−i−ii
χ2911111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-1
χ3011111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111
χ3111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1ii−i−i−i−iii
χ3211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1−i−iiiii−i−i
χ3322-222-2-2-20000002i−2i0022-222-2-2-222-2-2-2-2220000002i2i−2i−2i0000000000000000002i−2i00002i−2i002i−2i002-2002-20000000000
χ3422-222-2-2-20000002i−2i0022-222-2-2-222-2-2-2-2220000002i2i−2i−2i0000000000000000002i−2i0000−2i2i00−2i2i00-2200-220000000000
χ3522-222-2-2-20000002i−2i0022-222-2-2-2-2-22222-2-20000002i2i−2i−2i000000000000000000−2i2i00002-200-2200−2i2i002i−2i0000000000
χ3622-222-2-2-20000002i−2i0022-222-2-2-2-2-22222-2-20000002i2i−2i−2i000000000000000000−2i2i0000-22002-2002i−2i00−2i2i0000000000
χ3722-222-2-2-2000000−2i2i0022-222-2-2-222-2-2-2-222000000−2i−2i2i2i000000000000000000−2i2i00002i−2i002i−2i00-2200-220000000000
χ3822-222-2-2-2000000−2i2i0022-222-2-2-222-2-2-2-222000000−2i−2i2i2i000000000000000000−2i2i0000−2i2i00−2i2i002-2002-20000000000
χ3922-222-2-2-2000000−2i2i0022-222-2-2-2-2-22222-2-2000000−2i−2i2i2i0000000000000000002i−2i00002-200-22002i−2i00−2i2i0000000000
χ4022-222-2-2-2000000−2i2i0022-222-2-2-2-2-22222-2-2000000−2i−2i2i2i0000000000000000002i−2i0000-22002-200−2i2i002i−2i0000000000
χ412-222-22-2-200002i−2i00002-222-22-2-22-222-2-22-2002i2i−2i−2i000000000000000000002i−2i00002-2002-2002i−2i002i−2i000000000000
χ422-222-22-2-200002i−2i00002-222-22-2-22-222-2-22-2002i2i−2i−2i000000000000000000002i−2i0000-2200-2200−2i2i00−2i2i000000000000
χ432-222-22-2-200002i−2i00002-222-22-2-2-22-2-222-22002i2i−2i−2i00000000000000000000−2i2i00002i−2i00−2i2i00-22002-2000000000000
χ442-222-22-2-200002i−2i00002-222-22-2-2-22-2-222-22002i2i−2i−2i00000000000000000000−2i2i0000−2i2i002i−2i002-200-22000000000000
χ452-222-22-2-20000−2i2i00002-222-22-2-22-222-2-22-200−2i−2i2i2i00000000000000000000−2i2i00002-2002-200−2i2i00−2i2i000000000000
χ462-222-22-2-20000−2i2i00002-222-22-2-22-222-2-22-200−2i−2i2i2i00000000000000000000−2i2i0000-2200-22002i−2i002i−2i000000000000
χ472-222-22-2-20000−2i2i00002-222-22-2-2-22-2-222-2200−2i−2i2i2i000000000000000000002i−2i00002i−2i00−2i2i002-200-22000000000000
χ482-222-22-2-20000−2i2i00002-222-22-2-2-22-2-222-2200−2i−2i2i2i000000000000000000002i−2i0000−2i2i002i−2i00-22002-2000000000000
χ492-22-22-22-22-22i−2i00002i−2i2-22-22-22-22-22-22-2-2200000000002i2i−2i−2i2-22i−2i00002-22i−2i00002i−2i00000000000000000000000000
χ502-22-22-22-22-22i−2i00002i−2i2-22-22-22-2-22-22-222-200000000002i2i−2i−2i2-22i−2i0000-22−2i2i0000−2i2i00000000000000000000000000
χ512-22-22-22-22-2−2i2i0000−2i2i2-22-22-22-22-22-22-2-220000000000−2i−2i2i2i2-2−2i2i00002-2−2i2i0000−2i2i00000000000000000000000000
χ522-22-22-22-22-2−2i2i0000−2i2i2-22-22-22-2-22-22-222-20000000000−2i−2i2i2i2-2−2i2i0000-222i−2i00002i−2i00000000000000000000000000
χ532-22-22-22-2-222i−2i0000−2i2i2-22-22-22-22-22-22-2-220000000000−2i−2i2i2i-222i−2i0000-222i−2i0000−2i2i00000000000000000000000000
χ542-22-22-22-2-222i−2i0000−2i2i2-22-22-22-2-22-22-222-20000000000−2i−2i2i2i-222i−2i00002-2−2i2i00002i−2i00000000000000000000000000
χ552-22-22-22-2-22−2i2i00002i−2i2-22-22-22-22-22-22-2-2200000000002i2i−2i−2i-22−2i2i0000-22−2i2i00002i−2i00000000000000000000000000
χ562-22-22-22-2-22−2i2i00002i−2i2-22-22-22-2-22-22-222-200000000002i2i−2i−2i-22−2i2i00002-22i−2i0000−2i2i00000000000000000000000000
χ57444444444444444444-1-1-1-1-1-1-1-10000000044-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ58444444444444-4-4-4-444-1-1-1-1-1-1-1-100000000-4-411111111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ594444444444-4-444-4-4-4-4-1-1-1-1-1-1-1-1000000004-4-1-1-1-111111111-1-111-1-111000000000000000000000000000000000000
χ604444444444-4-4-4-444-4-4-1-1-1-1-1-1-1-100000000-441111-1-1-1-11111-1-11111-1-1000000000000000000000000000000000000
χ6144444444-4-44444-4-4-4-4-1-1-1-1-1-1-1-100000000-44-1-1-1-11111111111-1-111-1-1000000000000000000000000000000000000
χ6244444444-4-444-4-444-4-4-1-1-1-1-1-1-1-1000000004-41111-1-1-1-1111111-1-1-1-111000000000000000000000000000000000000
χ6344444444-4-4-4-4444444-1-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000
χ6444444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-1000000004411111111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ65444-4-4-4-440000000000444-4-4-4-44444-4-44-4-40000000000000000000000000000000000000000000000000000000000
χ66444-4-4-4-440000000000444-4-4-4-44-4-4-444-4440000000000000000000000000000000000000000000000000000000000
χ6744-4-4-444-4000000000044-4-4-444-444-444-4-4-40000000000000000000000000000000000000000000000000000000000
χ6844-4-4-444-4000000000044-4-4-444-4-4-44-4-44440000000000000000000000000000000000000000000000000000000000
χ694-44-44-44-44-44i−4i00004i−4i-11-11-11-1100000000005−55−5i5−i5i5−i5−i−iii-11−ii5−5i5−i5000000000000000000000000000000000000
χ704-44-44-44-44-44i−4i00004i−4i-11-11-11-110000000000−55−55−i5i5−i5i5−i−iii-11−ii−55−i5i5000000000000000000000000000000000000
χ714-44-44-44-44-4−4i4i0000−4i4i-11-11-11-1100000000005−55−5−i5i5−i5i5ii−i−i-11i−i5−5−i5i5000000000000000000000000000000000000
χ724-44-44-44-44-4−4i4i0000−4i4i-11-11-11-110000000000−55−55i5−i5i5−i5ii−i−i-11i−i−55i5−i5000000000000000000000000000000000000
χ734-44-44-44-4-444i−4i0000−4i4i-11-11-11-1100000000005−55−5−i5i5−i5i5ii−i−i1-1−ii−55i5−i5000000000000000000000000000000000000
χ744-44-44-44-4-444i−4i0000−4i4i-11-11-11-110000000000−55−55i5−i5i5−i5ii−i−i1-1−ii5−5−i5i5000000000000000000000000000000000000
χ754-44-44-44-4-44−4i4i00004i−4i-11-11-11-1100000000005−55−5i5−i5i5−i5−i−iii1-1i−i−55−i5i5000000000000000000000000000000000000
χ764-44-44-44-4-44−4i4i00004i−4i-11-11-11-110000000000−55−55−i5i5−i5i5−i−iii1-1i−i5−5i5−i5000000000000000000000000000000000000
χ774-4-44-4-44400000000004-4-44-4-4444-4-4-4444-40000000000000000000000000000000000000000000000000000000000
χ784-4-44-4-44400000000004-4-44-4-444-4444-4-4-440000000000000000000000000000000000000000000000000000000000
χ794-4-4-444-4400000000004-4-4-444-444-4-44-44-440000000000000000000000000000000000000000000000000000000000
χ804-4-4-444-4400000000004-4-4-444-44-444-44-44-40000000000000000000000000000000000000000000000000000000000
χ81888-8-8-8-880000000000-2-2-22222-200000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000000000
χ82888-8-8-8-880000000000-2-2-22222-20000000000−2i52i52i5−2i50000000000000000000000000000000000000000000000000000
χ8388-888-8-8-80000008i−8i00-2-22-2-222200000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ8488-888-8-8-8000000−8i8i00-2-22-2-2222000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ8588-8-8-888-80000000000-2-2222-2-220000000000000000002i5−2i52i5−2i500000000000000000000000000000000000000000000
χ8688-8-8-888-80000000000-2-2222-2-22000000000000000000−2i52i5−2i52i500000000000000000000000000000000000000000000
χ878-888-88-8-800008i−8i0000-22-2-22-2220000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ888-888-88-8-80000−8i8i0000-22-2-22-22200000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ898-8-88-8-8880000000000-222-222-2-200000000000000000025−25−252500000000000000000000000000000000000000000000
χ908-8-88-8-8880000000000-222-222-2-2000000000000000000−252525−2500000000000000000000000000000000000000000000
χ918-8-8-888-880000000000-2222-2-22-20000000000000025−25−2525000000000000000000000000000000000000000000000000
χ928-8-8-888-880000000000-2222-2-22-200000000000000−252525−25000000000000000000000000000000000000000000000000

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