Finite Group Databasebeta

← Group #12135277

Character table — Group #12135277

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222444444444444444444448888888888888888888888888888888888888810101010161616161616161616161616161620202020202040404040404040408080
order1222224444551010101010102244444410101010202020202020202022248810101010101010101010101010101010202020202020202020202020202020208888482020202040404040404040408888882222448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-111
χ51111111111111111111111-1-1-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1111-1-1
χ61111111111111111111111-1-1-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11-1-1-111
χ71111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1111111-1-1-1-1
χ9111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-11
χ11111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-11111111111-1-1-11-11-1-1-11
χ12111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111111111-1-1-1-111111-11-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-11-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-1111-1-1111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111-1-1-111-1-1-111-11
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+52−1−52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022−1+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+52−1−52−1−52-2-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−522222-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-21−521−521+521+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52000022−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ252222222222−1−52−1+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+52222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ262222222222−1−52−1+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+52-2-2-2-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ272222222222−1−52−1+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+522222-2-2−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000-2-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ282222222222−1−52−1+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+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52000022−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ332222-2-22-2-222222222200000000-2-2-2-22-22-22-22-2002-20000000000000022220000-2-2-2-2000000002222000000000000000000-2-200020-20000
χ342222-2-22-2-222222222200000000-2-2-2-22-22-22-22-2002-20000000000000022220000-2-2-2-200000000-2-2-2-200000000000000000022000-2020000
χ352222-2-22-2-222222222200000000-2-2-2-22-22-22-22-200-2200000000000000-2-2-2-200002222000000002222000000000000000000-2-2000-2020000
χ362222-2-22-2-222222222200000000-2-2-2-22-22-22-22-200-2200000000000000-2-2-2-20000222200000000-2-2-2-20000000000000000002200020-20000
χ372222-2-2-222-22222222222-2-20000-2-2-2-2-22-22-22-220000002222000000000000-2-2-2-200000000000000000000000000000022-2-2002000-200000
χ382222-2-2-222-22222222222-2-20000-2-2-2-2-22-22-22-220000002222000000000000-2-2-2-2000000000000000000000000000000-2-22200-2000200000
χ392222-2-2-222-222222222-2-2220000-2-2-2-2-22-22-22-22000000-2-2-2-2000000000000222200000000000000000000000000000022-2-200-2000200000
χ402222-2-2-222-222222222-2-2220000-2-2-2-2-22-22-22-22000000-2-2-2-20000000000002222000000000000000000000000000000-2-222002000-200000
χ412-2-222-222-2-222-2-2-2-2222-22-22i2i−2i−2i22-2-22222-2-2-2-200002i−2i2-22-20000000000002-22-200002i2i−2i−2i2i2i−2i−2i00000000002i−2i2i−2i00000000000000000000
χ422-2-222-222-2-222-2-2-2-2222-22-2−2i−2i2i2i22-2-22222-2-2-2-20000−2i2i2-22-20000000000002-22-20000−2i−2i2i2i−2i−2i2i2i0000000000−2i2i−2i2i00000000000000000000
χ432-2-222-222-2-222-2-2-2-222-22-222i2i−2i−2i22-2-22222-2-2-2-20000−2i2i-22-22000000000000-22-2200002i2i−2i−2i2i2i−2i−2i0000000000−2i2i−2i2i00000000000000000000
χ442-2-222-222-2-222-2-2-2-222-22-22−2i−2i2i2i22-2-22222-2-2-2-200002i−2i-22-22000000000000-22-220000−2i−2i2i2i−2i−2i2i2i00000000002i−2i2i−2i00000000000000000000
χ452-2-222-222-2-2−1+52−1−521−521+521−521+52−1+52−1−522-22-22i2i−2i−2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002i−2i−1+521−52−1−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000000
χ462-2-222-222-2-2−1+52−1−521−521+521−521+52−1+52−1−522-22-22i2i−2i−2i−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002i−2i−1+521−52−1−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14000000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000000
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χ1014-4-44-44-44-44−1−5−1+51+51−51+51−5−1−5−1+54-4-4400001+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5000000−1−51+5−1+51−50000000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000
χ1024-4-44-44-44-44−1−5−1+51+51−51+51−5−1−5−1+5-444-400001+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−50000001+5−1−51−5−1+5000000000000−1−51+5−1+51−50000000000000000000000000000000000000000000000
χ10388-8-8000000−2+25−2−25−2+25−2−252−252+252−252+2500004i−4i4i−4i000000000000000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000
χ10488-8-8000000−2+25−2−25−2+25−2−252−252+252−252+250000−4i4i−4i4i0000000000000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000
χ10588-8-8000000−2−25−2+25−2−25−2+252+252−252+252−2500004i−4i4i−4i000000000000000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000
χ10688-8-8000000−2−25−2+25−2−25−2+252+252−252+252−250000−4i4i−4i4i0000000000000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000
χ1078-88-8000000−2+25−2−252−252+25−2+25−2−252−252+2500004-4-44000000000000000000000000000000000000000000−1+51−51−5−1+5−1−51+51+5−1−50000000000000000000000000000000000
χ1088-88-8000000−2+25−2−252−252+25−2+25−2−252−252+250000-444-40000000000000000000000000000000000000000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000
χ1098-88-8000000−2−25−2+252+252−25−2−25−2+252+252−2500004-4-44000000000000000000000000000000000000000000−1−51+51+5−1−5−1+51−51−5−1+50000000000000000000000000000000000
χ1108-88-8000000−2−25−2+252+252−25−2−25−2+252+252−250000-444-40000000000000000000000000000000000000000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.