Finite Group Databasebeta

← Group #13015781

Character table — Group #13015781

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444444444888888888888881010101010102020202020202020204040404040401111222244444444488888888888888101010101010202020202020202020404040404040
order12222244451010101010101044202020202020202020202020444444488888888448888222222444101010101010101044202020202020202020202020444444488888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i1111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii1111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i11-111-1-111-1-111-1-1i−ii−ii−i1111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i11-111-1-111-1-111-1-1i−ii−ii−i
χ101111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i11-111-1-1-1-111-1-111i−i−ii−ii1111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i11-111-1-1-1-111-1-111i−i−ii−ii
χ111111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i-1-11-1-111ii−i−i−i−iii−ii-111-11111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i-1-11-1-111ii−i−i−i−iii−ii-111-1
χ121111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i-1-11-1-111−i−iiiii−i−i−ii1-1-111111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i-1-11-1-111−i−iiiii−i−i−ii1-1-11
χ131111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii11-111-1-111-1-111-1-1−ii−ii−ii1111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii11-111-1-111-1-111-1-1−ii−ii−ii
χ141111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii11-111-1-1-1-111-1-111−iii−ii−i1111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii11-111-1-1-1-111-1-111−iii−ii−i
χ151111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii-1-11-1-111ii−i−i−i−iiii−i1-1-111111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii-1-11-1-111ii−i−i−i−iiii−i1-1-11
χ161111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii-1-11-1-111−i−iiiii−i−ii−i-111-11111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii-1-11-1-111−i−iiiii−i−ii−i-111-1
χ17222222-2-2-22222222200-2-2-2-200000000222-2-22-200000000000000222222-2-2-22222222200-2-2-2-200000000222-2-22-200000000000000
χ18222222-2-2-22222222200-2-2-2-200000000-2-2-222-2200000000000000222222-2-2-22222222200-2-2-2-200000000-2-2-222-2200000000000000
χ192222-2-2-2-22222-2-22-2-200-2-2220000000022-2-2-2-22000000000000002222-2-2-2-22222-2-22-2-200-2-2220000000022-2-2-2-2200000000000000
χ202222-2-2-2-22222-2-22-2-200-2-22200000000-2-22222-2000000000000002222-2-2-2-22222-2-22-2-200-2-22200000000-2-22222-200000000000000
χ212-22-22-200022-222-2-2-2000000000000002-2200-202−22−22−22−20000002-22-22-200022-222-2-2-2000000000000002-2200-202−22−22−22−2000000
χ222-22-22-200022-222-2-2-2000000000000002-2200-20−22−22−22−220000002-22-22-200022-222-2-2-2000000000000002-2200-20−22−22−22−22000000
χ232-22-22-200022-222-2-2-200000000000000-22-20020i2−i2i2−i2−i2i2−i2i20000002-22-22-200022-222-2-2-200000000000000-22-20020i2−i2i2−i2−i2i2−i2i2000000
χ242-22-22-200022-222-2-2-200000000000000-22-20020−i2i2−i2i2i2−i2i2−i20000002-22-22-200022-222-2-2-200000000000000-22-20020−i2i2−i2i2i2−i2i2−i2000000
χ252-22-2-2200022-2-2-2-222000000000000002-2-200202−2−222−2−220000002-22-2-2200022-2-2-2-222000000000000002-2-200202−2−222−2−22000000
χ262-22-2-2200022-2-2-2-222000000000000002-2-20020−222−2−222−20000002-22-2-2200022-2-2-2-222000000000000002-2-20020−222−2−222−2000000
χ272-22-2-2200022-2-2-2-22200000000000000-22200-20i2−i2−i2i2−i2i2i2−i20000002-22-2-2200022-2-2-2-22200000000000000-22200-20i2−i2−i2i2−i2i2i2−i2000000
χ282-22-2-2200022-2-2-2-22200000000000000-22200-20−i2i2i2−i2i2−i2−i2i20000002-22-2-2200022-2-2-2-22200000000000000-22200-20−i2i2i2−i2i2−i2−i2i2000000
χ29444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ30444444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000000000444444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000000000
χ31444444-4-4-4-1-1-1-1-1-1-1-100111155−5−555−5−5000000000000000000000444444-4-4-4-1-1-1-1-1-1-1-100111155−5−555−5−5000000000000000000000
χ32444444-4-4-4-1-1-1-1-1-1-1-1001111−5−555−5−555000000000000000000000444444-4-4-4-1-1-1-1-1-1-1-1001111−5−555−5−555000000000000000000000
χ334444-4-444-4-1-1-111-1114i−4i-1-111−i−i−i−iiiii0000000000000000000004444-4-444-4-1-1-111-1114i−4i-1-111−i−i−i−iiiii000000000000000000000
χ344444-4-444-4-1-1-111-111−4i4i-1-111iiii−i−i−i−i0000000000000000000004444-4-444-4-1-1-111-111−4i4i-1-111iiii−i−i−i−i000000000000000000000
χ354444-4-4-4-44-1-1-111-1110011-1-1i5i5−i5−i5−i5−i5i5i50000000000000000000004444-4-4-4-44-1-1-111-1110011-1-1i5i5−i5−i5−i5−i5i5i5000000000000000000000
χ364444-4-4-4-44-1-1-111-1110011-1-1−i5−i5i5i5i5i5−i5−i50000000000000000000004444-4-4-4-44-1-1-111-1110011-1-1−i5−i5i5i5i5i5−i5−i5000000000000000000000
χ3744-4-4000004-4-400400000000000000000004i−4i000000000000000044-4-4000004-4-400400000000000000000004i−4i0000000000000000
χ3844-4-4000004-4-40040000000000000000000−4i4i000000000000000044-4-4000004-4-40040000000000000000000−4i4i0000000000000000
χ394-4-44004i−4i04-4400-400004i−4i00000000000000000000000000000004-4-44004i−4i04-4400-400004i−4i0000000000000000000000000000000
χ404-4-44004i−4i0-11-15−515−500−iii5−i5ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ28−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ38ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ28−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ380000000000000000000004-4-44004i−4i0-11-15−515−500−iii5−i5ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ28−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ38ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ28−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ38000000000000000000000
χ414-4-44004i−4i0-11-15−515−500−iii5−i5−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ28ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ38−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ28ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ380000000000000000000004-4-44004i−4i0-11-15−515−500−iii5−i5−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ28ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ38−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ28ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ38000000000000000000000
χ424-4-44004i−4i0-11-1−551−5500−ii−i5i5−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ38−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ28ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ38ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ280000000000000000000004-4-44004i−4i0-11-1−551−5500−ii−i5i5−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ38−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ28ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ38ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ28000000000000000000000
χ434-4-44004i−4i0-11-1−551−5500−ii−i5i5ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ38ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ28−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ38−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ280000000000000000000004-4-44004i−4i0-11-1−551−5500−ii−i5i5ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ38ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ28−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ38−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ28000000000000000000000
χ444-4-4400−4i4i04-4400-40000−4i4i00000000000000000000000000000004-4-4400−4i4i04-4400-40000−4i4i0000000000000000000000000000000
χ454-4-4400−4i4i0-11-15−515−500i−i−i5i5ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ28ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ38ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ28ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ380000000000000000000004-4-4400−4i4i0-11-15−515−500i−i−i5i5ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ28ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ38ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ28ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ38000000000000000000000
χ464-4-4400−4i4i0-11-15−515−500i−i−i5i5−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ28−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ38−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ28−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ380000000000000000000004-4-4400−4i4i0-11-15−515−500i−i−i5i5−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ28−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ38−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ28−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ38000000000000000000000
χ474-4-4400−4i4i0-11-1−551−5500i−ii5−i5−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ38ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ28ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ38−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ280000000000000000000004-4-4400−4i4i0-11-1−551−5500i−ii5−i5−ζ4+ζ22+ζ36−ζ38ζ4−ζ22−ζ36+ζ38ζ6−ζ12−ζ14+ζ28−ζ6+ζ12+ζ14−ζ28ζ4+ζ22−ζ36−ζ38−ζ4−ζ22+ζ36+ζ38−ζ6−ζ12+ζ14+ζ28ζ6+ζ12−ζ14−ζ28000000000000000000000
χ484-4-4400−4i4i0-11-1−551−5500i−ii5−i5ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ38−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ28−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ38ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ280000000000000000000004-4-4400−4i4i0-11-1−551−5500i−ii5−i5ζ4−ζ22−ζ36+ζ38−ζ4+ζ22+ζ36−ζ38−ζ6+ζ12+ζ14−ζ28ζ6−ζ12−ζ14+ζ28−ζ4−ζ22+ζ36+ζ38ζ4+ζ22−ζ36−ζ38ζ6+ζ12−ζ14−ζ28−ζ6−ζ12+ζ14+ζ28000000000000000000000
χ4988-8-800000-22225−25-2−25250000000000000000000000000000000000088-8-800000-22225−25-2−252500000000000000000000000000000000000
χ5088-8-800000-222−2525-225−250000000000000000000000000000000000088-8-800000-222−2525-225−2500000000000000000000000000000000000
χ518-88-88-8000-2-22-2-2222000000000000000000000000000000000008-88-88-8000-2-22-2-222200000000000000000000000000000000000
χ528-88-8-88000-2-22222-2-2000000000000000000000000000000000008-88-8-88000-2-22222-2-200000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ551111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−i−i−iiiii11−i−iii
χ561111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111iiii−i−i−i−i11ii−i−i
χ5711111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5811111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11111111111-1-1-1-1
χ5911111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111−i−i−i−iiiii-1-1ii−i−i
χ6011111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111iiii−i−i−i−i-1-1−i−iii
χ611111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i11-111-1-111-1-111-1-1i−ii−ii−i-1-1-1-111-1-11-1-1-111-111−ii-1-111−i−i−i−iiiii-1-11-1-111-1-111-1-111−ii−ii−ii
χ621111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i11-111-1-1-1-111-1-111i−i−ii−ii-1-1-1-111-1-11-1-1-111-111−ii-1-111−i−i−i−iiiii-1-11-1-11111-1-111-1-1−iii−ii−i
χ631111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i-1-11-1-111ii−i−i−i−iii−ii-111-1-1-1-1-111-1-11-1-1-111-111−ii-1-111−i−i−i−iiiii11-111-1-1−i−iiiii−i−ii−i1-1-11
χ641111-1-111-1111-1-11-1-1i−i11-1-1iiii−i−i−i−i-1-11-1-111−i−iiiii−i−i−ii1-1-11-1-1-1-111-1-11-1-1-111-111−ii-1-111−i−i−i−iiiii11-111-1-1ii−i−i−i−iiii−i-111-1
χ651111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii11-111-1-111-1-111-1-1−ii−ii−ii-1-1-1-111-1-11-1-1-111-111i−i-1-111iiii−i−i−i−i-1-11-1-111-1-111-1-111i−ii−ii−i
χ661111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii11-111-1-1-1-111-1-111−iii−ii−i-1-1-1-111-1-11-1-1-111-111i−i-1-111iiii−i−i−i−i-1-11-1-11111-1-111-1-1i−i−ii−ii
χ671111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii-1-11-1-111ii−i−i−i−iiii−i1-1-11-1-1-1-111-1-11-1-1-111-111i−i-1-111iiii−i−i−i−i11-111-1-1−i−iiiii−i−i−ii-111-1
χ681111-1-111-1111-1-11-1-1−ii11-1-1−i−i−i−iiiii-1-11-1-111−i−iiiii−i−ii−i-111-1-1-1-1-111-1-11-1-1-111-111i−i-1-111iiii−i−i−i−i11-111-1-1ii−i−i−i−iii−ii1-1-11
χ69222222-2-2-22222222200-2-2-2-200000000222-2-22-200000000000000-2-2-2-2-2-2222-2-2-2-2-2-2-2-200222200000000-2-2-222-2200000000000000
χ70222222-2-2-22222222200-2-2-2-200000000-2-2-222-2200000000000000-2-2-2-2-2-2222-2-2-2-2-2-2-2-200222200000000222-2-22-200000000000000
χ712222-2-2-2-22222-2-22-2-200-2-2220000000022-2-2-2-2200000000000000-2-2-2-22222-2-2-2-222-2220022-2-200000000-2-22222-200000000000000
χ722222-2-2-2-22222-2-22-2-200-2-22200000000-2-22222-200000000000000-2-2-2-22222-2-2-2-222-2220022-2-20000000022-2-2-2-2200000000000000
χ732-22-22-200022-222-2-2-2000000000000002-2200-202−22−22−22−2000000-22-22-22000-2-22-2-222200000000000000-22-20020−22−22−22−22000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.