Finite Group Databasebeta

← Group #13022296

Character table — Group #13022296

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444445555555588888888888888881010101016161616161616162020202020202020202020202020202020202020404040404040404040404040
order12222222444458888101010101010104444444422442020202040404040404040402222101010102020202044444444888888888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1111iiii−i−i−i−i
χ91111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ121111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ131111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111−i−i−i−iiiii11-1-1ii−i−i−i−iii
χ141111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111iiii−i−i−i−i11-1-1−i−iiiii−i−i
χ151111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111−i−i−i−iiiii-1-111−i−iiiii−i−i
χ161111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111iiii−i−i−i−i-1-111ii−i−i−i−iii
χ17111-1-1-1-1111-1-11ii−i−i11-1-1-11-11111-1-1-1-11-1i−i11-1-1iiii−i−i−i−i1-1-1111-1-1ii−i−i11-1-111-1-1ii−i−iii−i−iii−i−ii−i1-11-1i−i1-1i−i
χ18111-1-1-1-1111-1-11ii−i−i11-1-1-11-11111-1-1-1-11-1i−i11-1-1iiii−i−i−i−i1-1-1111-1-1ii−i−i-1-111-1-111ii−i−i−i−iii−i−iiii−i1-1-11−ii-11−ii
χ19111-1-1-1-1111-1-11ii−i−i11-1-1-11-11111-1-1-1-1-11−ii11-1-1iiii−i−i−i−i1-1-11-1-111−i−iii11-1-111-1-1ii−i−iii−i−iii−i−i−ii-11-11−ii-11−ii
χ20111-1-1-1-1111-1-11ii−i−i11-1-1-11-11111-1-1-1-1-11−ii11-1-1iiii−i−i−i−i1-1-11-1-111−i−iii-1-111-1-111ii−i−i−i−iii−i−iii−ii-111-1i−i1-1i−i
χ21111-1-1-1-1111-1-11ii−i−i11-1-1-11-1-1-1-1-111111-1i−i11-1-1iiii−i−i−i−i-111-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-11111-1-1−ii-11i−i-11−ii1-1
χ22111-1-1-1-1111-1-11ii−i−i11-1-1-11-1-1-1-1-111111-1i−i11-1-1iiii−i−i−i−i-111-111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−ii-11−ii1-1i−i-11
χ23111-1-1-1-1111-1-11ii−i−i11-1-1-11-1-1-1-1-11111-11−ii11-1-1iiii−i−i−i−i-111-1-1-111−i−iiiii−i−i−i−iii−i−iii-1-11111-1-1i−i1-1−ii1-1i−i-11
χ24111-1-1-1-1111-1-11ii−i−i11-1-1-11-1-1-1-1-11111-11−ii11-1-1iiii−i−i−i−i-111-1-1-111−i−iii−i−iiiii−i−i−i−iii11-1-1-1-111i−i1-1i−i-11−ii1-1
χ25111-1-1-1-1111-1-11−i−iii11-1-1-11-11111-1-1-1-11-1−ii11-1-1−i−i−i−iiiii1-1-1111-1-1−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−ii1-11-1−ii1-1−ii
χ26111-1-1-1-1111-1-11−i−iii11-1-1-11-11111-1-1-1-11-1−ii11-1-1−i−i−i−iiiii1-1-1111-1-1−i−iii-1-111-1-111−i−iiiii−i−iii−i−i−ii1-1-11i−i-11i−i
χ27111-1-1-1-1111-1-11−i−iii11-1-1-11-11111-1-1-1-1-11i−i11-1-1−i−i−i−iiiii1-1-11-1-111ii−i−i11-1-111-1-1−i−iii−i−iii−i−iiii−i-11-11i−i-11i−i
χ28111-1-1-1-1111-1-11−i−iii11-1-1-11-11111-1-1-1-1-11i−i11-1-1−i−i−i−iiiii1-1-11-1-111ii−i−i-1-111-1-111−i−iiiii−i−iii−i−ii−i-111-1−ii1-1−ii
χ29111-1-1-1-1111-1-11−i−iii11-1-1-11-1-1-1-1-111111-1−ii11-1-1−i−i−i−iiiii-111-111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111i−i-11i−i1-1−ii-11
χ30111-1-1-1-1111-1-11−i−iii11-1-1-11-1-1-1-1-111111-1−ii11-1-1−i−i−i−iiiii-111-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1i−i-11−ii-11i−i1-1
χ31111-1-1-1-1111-1-11−i−iii11-1-1-11-1-1-1-1-11111-11i−i11-1-1−i−i−i−iiiii-111-1-1-111ii−i−iii−i−i−i−iiiii−i−i11-1-1-1-111−ii1-1−ii-11i−i1-1
χ32111-1-1-1-1111-1-11−i−iii11-1-1-11-1-1-1-1-11111-11i−i11-1-1−i−i−i−iiiii-111-1-1-111ii−i−i−i−iiiii−i−iii−i−i-1-11111-1-1−ii1-1i−i1-1−ii-11
χ3322222222-2-2-2-2200002222222222222220000-2-2-2-200000000-2-2-2-2000000000000000000002-22-22-22-2000000000000
χ3422222222-2-2-2-2200002222222222222220000-2-2-2-200000000-2-2-2-200000000000000000000-22-22-22-22000000000000
χ3522222222-2-2-2-2200002222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002222000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ3622222222-2-2-2-2200002222222-2-2-2-2-2-2-2-20000-2-2-2-200000000222200000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ37222-2-2-2-22-2-2222000022-2-2-22-22222-2-2-2-20000-2-22200000000-222-2000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ38222-2-2-2-22-2-2222000022-2-2-22-22222-2-2-2-20000-2-22200000000-222-200000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ39222-2-2-2-22-2-2222000022-2-2-22-2-2-2-2-222220000-2-222000000002-2-22000000000000000000002-2-22-222-2000000000000
χ40222-2-2-2-22-2-2222000022-2-2-22-2-2-2-2-222220000-2-222000000002-2-2200000000000000000000-222-22-2-22000000000000
χ412-2-222-2-222-22-222i−2i2i−2i-2-222-22-222-2-222-2-200002-22-22i2i−2i−2i2i2i−2i−2i-22-2200000000000000002i−2i2i−2i00000000000000000000
χ422-2-222-2-222-22-222i−2i2i−2i-2-222-22-2-2-222-2-22200002-22-22i2i−2i−2i2i2i−2i−2i2-22-20000000000000000−2i2i−2i2i00000000000000000000
χ432-2-222-2-222-22-22−2i2i−2i2i-2-222-22-222-2-222-2-200002-22-2−2i−2i2i2i−2i−2i2i2i-22-220000000000000000−2i2i−2i2i00000000000000000000
χ442-2-222-2-222-22-22−2i2i−2i2i-2-222-22-2-2-222-2-22200002-22-2−2i−2i2i2i−2i−2i2i2i2-22-200000000000000002i−2i2i−2i00000000000000000000
χ452-2-222-2-22-22-2220000-2-222-22-222-2-222-2-20000-22-22000000002-22-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ462-2-222-2-22-22-2220000-2-222-22-222-2-222-2-20000-22-22000000002-22-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ472-2-222-2-22-22-2220000-2-222-22-2-2-222-2-2220000-22-2200000000-22-22000000002-22-2-22-22000000000000000000000000
χ482-2-222-2-22-22-2220000-2-222-22-2-2-222-2-2220000-22-2200000000-22-2200000000-22-222-22-2000000000000000000000000
χ492-2-2-2-22222-2-2222-2-22-2-2-2-222222-2-2-2-22200002-2-2222-2-2-2-222-2-22200000000000000002-2-2200000000000000000000
χ502-2-2-2-22222-2-2222-2-22-2-2-2-2222-2-22222-2-200002-2-2222-2-2-2-22222-2-20000000000000000-222-200000000000000000000
χ512-2-2-2-22222-2-222-222-2-2-2-2-222222-2-2-2-22200002-2-22-2-22222-2-2-2-2220000000000000000-222-200000000000000000000
χ522-2-2-2-22222-2-222-222-2-2-2-2-2222-2-22222-2-200002-2-22-2-22222-2-222-2-200000000000000002-2-2200000000000000000000
χ532-2-2-2-2222-222-220000-2-2-2-222222-2-2-2-2220000-222-20000000022-2-2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ542-2-2-2-2222-222-220000-2-2-2-222222-2-2-2-2220000-222-20000000022-2-200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ552-2-2-2-2222-222-220000-2-2-2-2222-2-22222-2-20000-222-200000000-2-222000000002-2-22-222-2000000000000000000000000
χ562-2-2-2-2222-222-220000-2-2-2-2222-2-22222-2-20000-222-200000000-2-22200000000-222-22-2-22000000000000000000000000
χ57444444444444-14444-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ58444444444444-14444-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-100001111111100000000000000000000000000000000
χ59444444444444-1-4-4-4-4-1-1-1-1-1-1-10000000044-4-4-1-1-1-1111111110000-1-1-1-1111100000000000000000000000000000000
χ60444444444444-1-4-4-4-4-1-1-1-1-1-1-100000000-4-444-1-1-1-11111111100001111-1-1-1-100000000000000000000000000000000
χ61444-4-4-4-4444-4-4-14i4i−4i−4i-1-1111-11000000004-44i−4i-1-111−i−i−i−iiiii0000-1-111−i−iii00000000000000000000000000000000
χ62444-4-4-4-4444-4-4-14i4i−4i−4i-1-1111-1100000000-44−4i4i-1-111−i−i−i−iiiii000011-1-1ii−i−i00000000000000000000000000000000
χ63444-4-4-4-4444-4-4-1−4i−4i4i4i-1-1111-11000000004-4−4i4i-1-111iiii−i−i−i−i0000-1-111ii−i−i00000000000000000000000000000000
χ64444-4-4-4-4444-4-4-1−4i−4i4i4i-1-1111-1100000000-444i−4i-1-111iiii−i−i−i−i000011-1-1−i−iii00000000000000000000000000000000
χ6544-44-44-4-40000400004-44-4-4-444i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ6644-44-44-4-40000400004-44-4-4-44−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ6744-4-44-44-40000400004-4-444-4-44i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ6844-4-44-44-40000400004-4-444-4-4−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ694-444-4-44-4000040000-444-44-4-44i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ704-444-4-44-4000040000-444-44-4-4−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ714-44-444-4-4000040000-44-44-4-444i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ724-44-444-4-4000040000-44-44-4-44−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ734-4-444-4-444-44-4-14i−4i4i−4i11-1-11-11000000000000-11-11−i−iii−i−iii00005−55−5i5−i5i5−i500000000000000000000000000000000
χ744-4-444-4-444-44-4-14i−4i4i−4i11-1-11-11000000000000-11-11−i−iii−i−iii0000−55−55−i5i5−i5i500000000000000000000000000000000
χ754-4-444-4-444-44-4-1−4i4i−4i4i11-1-11-11000000000000-11-11ii−i−iii−i−i00005−55−5−i5i5−i5i500000000000000000000000000000000
χ764-4-444-4-444-44-4-1−4i4i−4i4i11-1-11-11000000000000-11-11ii−i−iii−i−i0000−55−55i5−i5i5−i500000000000000000000000000000000
χ774-4-4-4-44444-4-44-14-4-441111-1-1-1000000000000-111-1-1-11111-1-100005−5−555−5−5500000000000000000000000000000000
χ784-4-4-4-44444-4-44-14-4-441111-1-1-1000000000000-111-1-1-11111-1-10000−555−5−555−500000000000000000000000000000000
χ794-4-4-4-44444-4-44-1-444-41111-1-1-1000000000000-111-111-1-1-1-11100005−5−55−555−500000000000000000000000000000000
χ804-4-4-4-44444-4-44-1-444-41111-1-1-1000000000000-111-111-1-1-1-1110000−555−55−5−5500000000000000000000000000000000
χ8188888888-8-8-8-8-20000-2-2-2-2-2-2-200000000000022220000000000000000000000000000000000000000000000000000
χ82888-8-8-8-88-8-888-20000-2-2222-2200000000000022-2-20000000000000000000000000000000000000000000000000000
χ8388-88-88-8-80000-20000-22-2222-2000000000000000010−1010−1010−1010−1000000000000000000000000000000000000000000000
χ8488-88-88-8-80000-20000-22-2222-20000000000000000−1010−1010−1010−101000000000000000000000000000000000000000000000
χ8588-8-88-88-80000-20000-222-2-2220000000000000000i10−i10i10−i10−i10i10−i10i1000000000000000000000000000000000000000000000
χ8688-8-88-88-80000-20000-222-2-2220000000000000000−i10i10−i10i10i10−i10i10−i1000000000000000000000000000000000000000000000
χ878-888-8-88-80000-200002-2-22-2220000000000000000i10−i10−i10i10i10−i10−i10i1000000000000000000000000000000000000000000000
χ888-888-8-88-80000-200002-2-22-2220000000000000000−i10i10i10−i10−i10i10i10−i1000000000000000000000000000000000000000000000
χ898-88-888-8-80000-200002-22-222-2000000000000000010−10−1010−101010−1000000000000000000000000000000000000000000000
χ908-88-888-8-80000-200002-22-222-20000000000000000−101010−1010−10−101000000000000000000000000000000000000000000000
χ918-8-888-8-88-88-88-2000022-2-22-220000000000002-22-20000000000000000000000000000000000000000000000000000
χ928-8-8-8-8888-888-8-200002222-2-2-20000000000002-2-220000000000000000000000000000000000000000000000000000

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