Finite Group Databasebeta

← Group #13022333

Character table — Group #13022333

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222444444444455558888888888888888101010101010101010101616161616161616202020202020202020202020202020202020404040404040404040404040
order12222244448888588101010101010104444224420202020404040404040404022224488881010101020202020444444448888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii1111iiii−i−i−i−i
χ91111111111-1-1-1-11-1-11111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-11-1-11111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ111111111111-1-1-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ131111111111-1-1-1-11-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11−i−i−i−iiiii11-1-1ii−i−i−i−iii
χ141111111111-1-1-1-11-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11iiii−i−i−i−i11-1-1−i−iiiii−i−i
χ151111111111-1-1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11−i−i−i−iiiii-1-111−i−iiiii−i−i
χ161111111111-1-1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11iiii−i−i−i−i-1-111ii−i−i−i−iii
χ171-1-111-111-1-1ii−i−i1i−i11-1-1-11-111-1-11-1i−i11-1-1iiii−i−i−i−i-111-11-1ii−i−i11-1-1ii−i−i11-1-111-1-1i−iii−i−iii−i−ii−i1-11-1i−i1-1i−i
χ181-1-111-111-1-1ii−i−i1i−i11-1-1-11-111-1-11-1i−i11-1-1iiii−i−i−i−i-111-11-1ii−i−i11-1-1ii−i−i-1-111-1-111i−i−i−iii−i−iiii−i1-1-11−ii-11−ii
χ191-1-111-111-1-1ii−i−i1i−i11-1-1-11-111-1-1-11−ii11-1-1iiii−i−i−i−i-111-11-1ii−i−i-1-111−i−iii11-1-111-1-1i−iii−i−iii−i−i−ii-11-11−ii-11−ii
χ201-1-111-111-1-1ii−i−i1i−i11-1-1-11-111-1-1-11−ii11-1-1iiii−i−i−i−i-111-11-1ii−i−i-1-111−i−iii-1-111-1-111i−i−i−iii−i−iii−ii-111-1i−i1-1i−i
χ211-1-111-111-1-1ii−i−i1i−i11-1-1-11-1-1-1111-1i−i11-1-1iiii−i−i−i−i1-1-11-11−i−iii11-1-1ii−i−iii−i−i−i−iii−ii-1-11111-1-1−ii-11i−i-11−ii1-1
χ221-1-111-111-1-1ii−i−i1i−i11-1-1-11-1-1-1111-1i−i11-1-1iiii−i−i−i−i1-1-11-11−i−iii11-1-1ii−i−i−i−iiiii−i−i−ii11-1-1-1-111−ii-11−ii1-1i−i-11
χ231-1-111-111-1-1ii−i−i1i−i11-1-1-11-1-1-111-11−ii11-1-1iiii−i−i−i−i1-1-11-11−i−iii-1-111−i−iiiii−i−i−i−iii−ii-1-11111-1-1i−i1-1−ii1-1i−i-11
χ241-1-111-111-1-1ii−i−i1i−i11-1-1-11-1-1-111-11−ii11-1-1iiii−i−i−i−i1-1-11-11−i−iii-1-111−i−iii−i−iiiii−i−i−ii11-1-1-1-111i−i1-1i−i-11−ii1-1
χ251-1-111-111-1-1−i−iii1−ii11-1-1-11-111-1-11-1−ii11-1-1−i−i−i−iiiii-111-11-1−i−iii11-1-1−i−iii11-1-111-1-1−ii−i−iii−i−iii−ii1-11-1−ii1-1−ii
χ261-1-111-111-1-1−i−iii1−ii11-1-1-11-111-1-11-1−ii11-1-1−i−i−i−iiiii-111-11-1−i−iii11-1-1−i−iii-1-111-1-111−iiii−i−iii−i−i−ii1-1-11i−i-11i−i
χ271-1-111-111-1-1−i−iii1−ii11-1-1-11-111-1-1-11i−i11-1-1−i−i−i−iiiii-111-11-1−i−iii-1-111ii−i−i11-1-111-1-1−ii−i−iii−i−iiii−i-11-11i−i-11i−i
χ281-1-111-111-1-1−i−iii1−ii11-1-1-11-111-1-1-11i−i11-1-1−i−i−i−iiiii-111-11-1−i−iii-1-111ii−i−i-1-111-1-111−iiii−i−iii−i−ii−i-111-1−ii1-1−ii
χ291-1-111-111-1-1−i−iii1−ii11-1-1-11-1-1-1111-1−ii11-1-1−i−i−i−iiiii1-1-11-11ii−i−i11-1-1−i−iiiii−i−i−i−iiii−i11-1-1-1-111i−i-11i−i1-1−ii-11
χ301-1-111-111-1-1−i−iii1−ii11-1-1-11-1-1-1111-1−ii11-1-1−i−i−i−iiiii1-1-11-11ii−i−i11-1-1−i−iii−i−iiiii−i−ii−i-1-11111-1-1i−i-11−ii-11i−i1-1
χ311-1-111-111-1-1−i−iii1−ii11-1-1-11-1-1-111-11i−i11-1-1−i−i−i−iiiii1-1-11-11ii−i−i-1-111ii−i−iii−i−i−i−iiii−i11-1-1-1-111−ii1-1−ii-11i−i1-1
χ321-1-111-111-1-1−i−iii1−ii11-1-1-11-1-1-111-11i−i11-1-1−i−i−i−iiiii1-1-11-11ii−i−i-1-111ii−i−i−i−iiiii−i−ii−i-1-11111-1-1−ii1-1i−i1-1−ii-11
χ33222222-2-2-2-20000200222222222220000-2-2-2-200000000-2-2-2-2220000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ34222222-2-2-2-20000200222222222220000-2-2-2-200000000-2-2-2-222000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ35222222-2-2-2-200002002222222-2-2-2-20000-2-2-2-2000000002222-2-20000000000002-22-2-22-220000000000000000000000
χ36222222-2-2-2-200002002222222-2-2-2-20000-2-2-2-2000000002222-2-2000000000000-22-222-22-20000000000000000000000
χ372222-2-22-22-20000200-2-22-2-222222200002-22-200000000-22-22-2-200000000000000000000002-22-22-22-2000000000000
χ382222-2-22-22-20000200-2-22-2-222222200002-22-200000000-22-22-2-20000000000000000000000-22-22-22-22000000000000
χ392222-2-22-22-20000200-2-22-2-222-2-2-2-200002-22-2000000002-22-22200000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ402222-2-22-22-20000200-2-22-2-222-2-2-2-200002-22-2000000002-22-2220000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ412222-2-2-22-2222222-2-2-2-22-2-22222220000-22-2222-2-222-2-22-22-2-2-222220000000000000000-2-200000000000000000000
χ422222-2-2-22-2222222-2-2-2-22-2-222-2-2-2-20000-22-2222-2-222-2-2-22-2222-2-2-2-200000000000000002200000000000000000000
χ432222-2-2-22-22-2-2-2-2222-2-22-2-22222220000-22-22-2-222-2-2222-22-2-2-2-2-2-2-200000000000000002200000000000000000000
χ442222-2-2-22-22-2-2-2-2222-2-22-2-222-2-2-2-20000-22-22-2-222-2-222-22-222222220000000000000000-2-200000000000000000000
χ452-2-222-2-2-222000020022-2-2-22-222-2-20000-2-222000000002-2-222-20000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ462-2-222-2-2-222000020022-2-2-22-222-2-20000-2-222000000002-2-222-2000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ472-2-222-2-2-222000020022-2-2-22-2-2-2220000-2-22200000000-222-2-220000000000002-2-22-222-20000000000000000000000
χ482-2-222-2-2-222000020022-2-2-22-2-2-2220000-2-22200000000-222-2-22000000000000-222-22-2-220000000000000000000000
χ492-2-22-222-2-220000200-2-2-2222-222-2-200002-2-220000000022-2-2-2200000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ502-2-22-222-2-220000200-2-2-2222-222-2-200002-2-220000000022-2-2-220000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ512-2-22-222-2-220000200-2-2-2222-2-2-22200002-2-2200000000-2-2222-200000000000000000000002-2-22-222-2000000000000
χ522-2-22-222-2-220000200-2-2-2222-2-2-22200002-2-2200000000-2-2222-20000000000000000000000-222-22-2-22000000000000
χ532-2-22-22-222-22i2i−2i−2i2−2i2i-2-2-2222-222-2-20000-222-22i2i−2i−2i−2i−2i2i2i-2-222-222i2i−2i−2i0000000000000000−2i2i00000000000000000000
χ542-2-22-22-222-22i2i−2i−2i2−2i2i-2-2-2222-2-2-2220000-222-22i2i−2i−2i−2i−2i2i2i22-2-22-2−2i−2i2i2i00000000000000002i−2i00000000000000000000
χ552-2-22-22-222-2−2i−2i2i2i22i−2i-2-2-2222-222-2-20000-222-2−2i−2i2i2i2i2i−2i−2i-2-222-22−2i−2i2i2i00000000000000002i−2i00000000000000000000
χ562-2-22-22-222-2−2i−2i2i2i22i−2i-2-2-2222-2-2-2220000-222-2−2i−2i2i2i2i2i−2i−2i22-2-22-22i2i−2i−2i0000000000000000−2i2i00000000000000000000
χ5744444444444444-144-1-1-1-1-1-1-100004444-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5844444444444444-144-1-1-1-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111000000000000000000000000000000
χ594444444444-4-4-4-4-1-4-4-1-1-1-1-1-1-1000044-4-4-1-1-1-1111111110000000000-1-1-1-11111000000000000000000000000000000
χ604444444444-4-4-4-4-1-4-4-1-1-1-1-1-1-10000-4-444-1-1-1-11111111100000000001111-1-1-1-1000000000000000000000000000000
χ614444-4-4-44-444444-1-4-411-111-1-1000000001-11-1-1-111-1-11100000000005−55−55−55−5000000000000000000000000000000
χ624444-4-4-44-444444-1-4-411-111-1-1000000001-11-1-1-111-1-1110000000000−55−55−55−55000000000000000000000000000000
χ634444-4-4-44-44-4-4-4-4-14411-111-1-1000000001-11-111-1-111-1-100000000005−55−5−55−55000000000000000000000000000000
χ644444-4-4-44-44-4-4-4-4-14411-111-1-1000000001-11-111-1-111-1-10000000000−55−555−55−5000000000000000000000000000000
χ6544-4-400000022−2222−2240000-400-444i−4i4i−4i0000000022−220022−22000000002i2−2i22i2−2i200000000000000000000000000000000000000
χ6644-4-400000022−2222−2240000-400-44−4i4i−4i4i0000000022−220022−2200000000−2i22i2−2i22i200000000000000000000000000000000000000
χ6744-4-4000000−2222−222240000-400-444i−4i4i−4i00000000−222200−222200000000−2i22i2−2i22i200000000000000000000000000000000000000
χ6844-4-4000000−2222−222240000-400-44−4i4i−4i4i00000000−222200−2222000000002i2−2i22i2−2i200000000000000000000000000000000000000
χ694-44-40000002i2−2i2−2i22i240000400-4-44i−4i−4i4i000000002i2−2i200−2i22i200000000−222222−2200000000000000000000000000000000000000
χ704-44-40000002i2−2i2−2i22i240000400-4-4−4i4i4i−4i000000002i2−2i200−2i22i20000000022−22−222200000000000000000000000000000000000000
χ714-44-4000000−2i22i22i2−2i240000400-4-44i−4i−4i4i00000000−2i22i2002i2−2i20000000022−22−222200000000000000000000000000000000000000
χ724-44-4000000−2i22i22i2−2i240000400-4-4−4i4i4i−4i00000000−2i22i2002i2−2i200000000−222222−2200000000000000000000000000000000000000
χ734-4-444-444-4-44i4i−4i−4i-14i−4i-1-1111-1100004-44i−4i-1-111−i−i−i−iiiii0000000000-1-111−i−iii000000000000000000000000000000
χ744-4-444-444-4-44i4i−4i−4i-14i−4i-1-1111-110000-44−4i4i-1-111−i−i−i−iiiii000000000011-1-1ii−i−i000000000000000000000000000000
χ754-4-444-444-4-4−4i−4i4i4i-1−4i4i-1-1111-1100004-4−4i4i-1-111iiii−i−i−i−i0000000000-1-111ii−i−i000000000000000000000000000000
χ764-4-444-444-4-4−4i−4i4i4i-1−4i4i-1-1111-110000-444i−4i-1-111iiii−i−i−i−i000000000011-1-1−i−iii000000000000000000000000000000
χ774-4-44-44-444-44i4i−4i−4i-1−4i4i111-1-1-11000000001-1-11−i−iiiii−i−i00000000005−5−55i5−i5−i5i5000000000000000000000000000000
χ784-4-44-44-444-44i4i−4i−4i-1−4i4i111-1-1-11000000001-1-11−i−iiiii−i−i0000000000−555−5−i5i5i5−i5000000000000000000000000000000
χ794-4-44-44-444-4−4i−4i4i4i-14i−4i111-1-1-11000000001-1-11ii−i−i−i−iii00000000005−5−55−i5i5i5−i5000000000000000000000000000000
χ804-4-44-44-444-4−4i−4i4i4i-14i−4i111-1-1-11000000001-1-11ii−i−i−i−iii0000000000−555−5i5−i5−i5i5000000000000000000000000000000
χ81888888-8-8-8-80000-200-2-2-2-2-2-2-200000000222200000000000000000000000000000000000000000000000000000000
χ828888-8-88-88-80000-20022-222-2-200000000-22-2200000000000000000000000000000000000000000000000000000000
χ8388-8-800000042−4242−42-20025−25225−252-2000000000000−2210−10−2210−10000000000000000000000000000000000000000000000000
χ8488-8-800000042−4242−42-200−25252−25252-2000000000000−22−1010−22−1010000000000000000000000000000000000000000000000000
χ8588-8-8000000−4242−4242-20025−25225−252-20000000000002−2−10102−2−1010000000000000000000000000000000000000000000000000
χ8688-8-8000000−4242−4242-200−25252−25252-20000000000002−210−102−210−10000000000000000000000000000000000000000000000000
χ878-88-80000004i2−4i2−4i24i2-20025−25-2−252522000000000000−i2i2i10−i10i2−i2−i10i10000000000000000000000000000000000000000000000000
χ888-88-80000004i2−4i2−4i24i2-200−2525-225−2522000000000000−i2i2−i10i10i2−i2i10−i10000000000000000000000000000000000000000000000000
χ898-88-8000000−4i24i24i2−4i2-20025−25-2−252522000000000000i2−i2−i10i10−i2i2i10−i10000000000000000000000000000000000000000000000000
χ908-88-8000000−4i24i24i2−4i2-200−2525-225−2522000000000000i2−i2i10−i10−i2i2−i10i10000000000000000000000000000000000000000000000000
χ918-8-888-8-8-8880000-200-2-2222-220000000022-2-200000000000000000000000000000000000000000000000000000000
χ928-8-88-888-8-880000-200222-2-2-2200000000-222-200000000000000000000000000000000000000000000000000000000

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