Finite Group Databasebeta

← Group #11996889

Character table — Group #11996889

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222244444444444444444444444444448888888888888888888888161616161616161616161616161616161616161620202020404040404040404040408080
order1222444444551010101010102444888810101010202020202020202020202020202020208820202020404040404040404040404040404040404488202020202020202040404040404040408888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ71111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1
χ81111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ91111-1-1-1-1-1-111111111-1111ii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-11-1i−i11-1-1i−i
χ101111-1-1-1-1-1-111111111-1111ii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-11-11−ii-1-111−ii
χ111111-1-1-1-1-1-111111111-1111ii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiiiii−i−i1-11-1i−i-1-111−ii
χ121111-1-1-1-1-1-111111111-1111ii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii−i−iii-11-11−ii11-1-1i−i
χ131111-1-1-1-1-1-111111111-1111−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiiiii−i−i-11-11i−i-1-111i−i
χ141111-1-1-1-1-1-111111111-1111−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−iii1-11-1−ii11-1-1−ii
χ151111-1-1-1-1-1-111111111-1111−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−iii−i−i-11-11i−i11-1-1−ii
χ161111-1-1-1-1-1-111111111-1111−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-11-1−ii-1-111i−i
χ172222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ232222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ242222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ252222222-2-2222222222-2-2-220000-2-2-2-2-2-2-2-2222222-2-2-2-2220022-2-2000000000000000000000000000000000000000022-2-200000000
χ262222222-2-2222222222-2-2-220000-2-2-2-2-2-2-2-2222222-2-2-2-2220022-2-20000000000000000000000000000000000000000-2-22200000000
χ2722222-2222-222222222-2-22-22222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ2822222-2222-222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-2-222-2-222-2-222-2-222-2-222000000000000000000000000000000000000
χ2922222-2222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-222221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3022222-2222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-222221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3122222-2222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52221−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3222222-2222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52221−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3322222-2222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-222221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ3422222-2222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-222221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ3522222-2222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52221+521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ3622222-2222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52221+521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ3722222-22-2-2-22222222222-2-200002222222222-2-2-2-2-2-2-2-22200-2-2-2-20000000000000000000000000000000000002i2i−2i−2i0000−2i2i000000
χ3822222-22-2-2-22222222222-2-200002222222222-2-2-2-2-2-2-2-22200-2-2-2-2000000000000000000000000000000000000−2i−2i2i2i00002i−2i000000
χ392222-22-222222222222-22-2-20000-2-2-2-22222-2-222222222-2-200-2-2-2-200000000000000000000000000000000000022220000-2-2000000
χ402222-22-222222222222-22-2-20000-2-2-2-22222-2-222222222-2-200-2-2-2-2000000000000000000000000000000000000-2-2-2-2000022000000
χ412222-22-2-2-22222222222-22-22i2i−2i−2i2222-2-2-2-2-2-22222-2-2-2-2-2-2−2i2i-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ422222-22-2-2-22222222222-22-2−2i−2i2i2i2222-2-2-2-2-2-22222-2-2-2-2-2-22i−2i-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ432222-22-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-22i2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−2i2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000000000000
χ442222-22-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-22i2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−2i2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.