Finite Group Databasebeta

← Group #12073296

Character table — Group #12073296

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444444444444888888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order1222224444551010101010104444101010102020202020202020202020202020202022448888202020204040404040404040404040404040404022101010101010101010101010202020204444244444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-11-1
χ10111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-111-11-1-111-1-111-11
χ11111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-1111111-1-111-1-11-111-1-1-1-111-11
χ12111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-1111111-1-1-1-111-11-1-11111-1-11-1
χ13111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11111-1-11-1-1-11111-1-1-11
χ14111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-111-1111-1-1-1-1111-1
χ15111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-111-1-1111-1
χ16111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1-111-1-111-1111-1-111-1-1-11
χ17222222222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-200000000000000000000000000000000002222-2-20000000000
χ18222222222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000-2-2-2-2220000000000
χ192222222222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−520000000000000000
χ202222222222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−521−521−521+521+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ222222222222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000000000000000
χ232222222222−1−52−1+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+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+520000000000000000
χ242222222222−1−52−1+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+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+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+520000000000000000
χ252222222222−1−52−1+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+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+521−520000000000000000
χ262222222222−1−52−1+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+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+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000000000000000
χ27222222-2-2-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222000000000000000000000000000000000022-2-2-220000000000
χ28222222-2-2-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000-2-2222-20000000000
χ29222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-22-222-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+520000000000000000
χ30222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-22-2-2-222−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+520000000000000000
χ31222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-2222-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−520000000000000000
χ32222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-22-2-222−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−520000000000000000
χ33222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-22-222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−520000000000000000
χ34222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-22-2-2-222−1−52−1+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+52-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−520000000000000000
χ35222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-2222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+520000000000000000
χ36222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-22-2-222−1−52−1+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+522-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+520000000000000000
χ372222-2-222-2-2222222222-22-2-2-2-2-2222222-2-222-2-2222222-2-20000-2-2-2-2000000000000000000222200000000-2-2-2-20000000000000000
χ382222-2-222-2-2222222222-22-2-2-2-2-2222222-2-222-2-22222-2-2220000-2-2-2-2000000000000000000-2-2-2-20000000022220000000000000000
χ392222-2-222-2-222222222-22-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-200000000222200000000000000000000000000000000000000002-22-2000000
χ402222-2-222-2-222222222-22-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-20000000022220000000000000000000000000000000000000000-22-22000000
χ412222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5222-2-200001−521+521−521+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+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+520000000000000000
χ422222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5222-2-200001−521+521−521+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+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+520000000000000000
χ432222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−52-2-22200001−521+521−521+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+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1−520000000000000000
χ442222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−52-2-22200001−521+521−521+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+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1−520000000000000000
χ452222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5222-2-200001+521−521+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+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−520000000000000000
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χ472222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52-2-22200001+521−521+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−ζ28001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1+520000000000000000
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χ9344-4-4-44-444-4−1−5−1+51+51+51−51−5−1−5−1+500001+5−1−51−5−1+500001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000000000000000000000
χ9444-4-4-44-444-4−1−5−1+51+51+51−51−5−1−5−1+500001+5−1−51−5−1+500001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000000000
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χ1038-8-88000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ2800000000000000000000000000000000000000000000000000000000000000
χ1048-8-88000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000000000000000

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