Finite Group Databasebeta

← Group #11995773

Character table — Group #11995773

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11112222222222222222444444444444444444444448888888888888888888888888888161616161616161616161616161616161616202020202020202040404040404040408080
order1222222244445510101010101024410101010101010101010101020202020202020202444444420202020202020202020202020202020202020208810102020202020204040404040404040888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1
χ9111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−ii−ii−i11-1-11-1
χ10111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiii−i−i−i−i−i−iii−i−iii−ii−ii-1-111-11
χ11111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−ii−ii−i-1-111-11
χ12111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−ii−ii11-1-11-1
χ13111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iiii−i−ii11-1-1-11
χ14111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i−iii−i-1-1111-1
χ15111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11−i−iii1111−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-11111iiii−i−i−i−iii−i−i−i−iiii−i−ii-1-1111-1
χ16111111-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11−i−iii1111−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i−iii−i11-1-1-11
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−52000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+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+52000000000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+522222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52000000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2522222222-2-2-2-2222222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000002i2i−2i−2i0000−2i2i00000000
χ2622222222-2-2-2-2222222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000−2i−2i2i2i00002i−2i00000000
χ27222222-2-2222222222222-2-2-22222-2-2-2-2-2-2-2-22222222200000000-2-2-2-2000000000000000000000000000000000022220000-2-200000000
χ28222222-2-2222222222222-2-2-22222-2-2-2-2-2-2-2-22222222200000000-2-2-2-20000000000000000000000000000000000-2-2-2-200002200000000
χ29222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1+52−1−52−1−521−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+522-22-22i2i−2i−2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000
χ30222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1+52−1−52−1−521−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+522-22-2−2i−2i2i2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000
χ31222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1+52−1−52−1−521−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+52-22-222i2i−2i−2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−2i2i1−521+521−521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000
χ32222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1+52−1−52−1−521−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+52-22-22−2i−2i2i2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ142i−2i1−521+521−521+52−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000
χ33222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1−52−1+52−1+521+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−522-22-22i2i−2i−2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ382i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000000
χ34222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1−52−1+52−1+521+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−522-22-2−2i−2i2i2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000000
χ35222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1−52−1+52−1+521+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−52-22-222i2i−2i−2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−2i2i1+521−521+521−52−1−52−1+52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000000
χ36222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1−52−1+52−1+521+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−52-22-22−2i−2i2i2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ382i−2i1+521−521+521−52−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000000
χ372222-2-22222-2-222222222-2-22-2-2-2-22-2-22-2-222-2-2-2-2222222-2-200002-22-200000000000000000022-2-222-2-200000000000000000000000000
χ382222-2-22222-2-222222222-2-22-2-2-2-22-2-22-2-222-2-2-2-22222-2-22200002-22-2000000000000000000-2-222-2-22200000000000000000000000000
χ392222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-20000−1+521−52−1−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−521−521+52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ402222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-20000−1+521−52−1−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−521−521+52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ412222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-2220000−1+521−52−1−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52−1+52−1−521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ422222-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-2220000−1+521−52−1−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−1+52−1−521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ432222-2-22222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-20000−1−521+52−1+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+521+521−52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
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χ1078-8-8800000000−2−25−2+252+252+252−252−25−2−25−2+25000000004ζ4−4ζ36−4ζ4+4ζ3604ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000000000000000000000000000

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