Finite Group Databasebeta

← Group #12075898

Character table — Group #12075898

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222222222222222222222444444444444444444444444888888888888888888888888888888888888888888161616161616161616164040404040404040404040408080
order1222444444551010101010102020202020202020244444442020202020202020202020202020202024888810101010101020202020202020202020202020204040404040404040404040404040404044202020202020202022224444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-11-1-111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ81111111111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ91111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-11-111-1-11-1
χ101111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-11-11-1-111-11
χ111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-1-11-11-1-1-111-11
χ121111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-111-11-1111-1-11-1
χ131111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11-11-1-1111-1
χ141111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-11-111-1-1-11
χ151111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-111-1-1-11-1111-1-1-11
χ161111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1111-11-1-1-1111-1
χ172222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−5222-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+5200000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22-2-22−1+52−1+52−1−52−1−52−1+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+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ212222222222−1−52−1+52−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ222222222222−1−52−1+52−1−52−1+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+5222-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−5200000000000000
χ232222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-22-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1+521+521+521−521−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000000
χ242222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-22-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ252222222-2-222222222222222222-2200-200-2222222-2-222-2-2-2-2-2-2000000-2-20000-2-200000000000000000000000000000000000000000022-2-2000000
χ262222222-2-222222222222222222-2200-200-2222222-2-222-2-2-2-2-2-2000000-2-20000-2-2000000000000000000000000000000000000000000-2-222000000
χ27222222-222-22222222222222222-2-2222-2-2-2-2-2-2-2-2-222-2-22222222-20000-2-22222-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ28222222-222-22222222222222222-2-2-2-2222-2-2-2-2-2-2-222-2-2222222-220000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ29222222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2222-2-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−522-200001−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+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−ζ3600ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ30222222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2222-2-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−522-200001−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+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−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ31222222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2222-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52-2200001−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ32222222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2222-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52-2200001−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ33222222-222-2−1−52−1+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+52-2-2222-2-2-21+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+522-200001+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+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−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ34222222-222-2−1−52−1+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+52-2-2222-2-2-21+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+522-200001+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ35222222-222-2−1−52−1+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+52-2-2-2-2222-21+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52-2200001+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+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ36222222-222-2−1−52−1+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+52-2-2-2-2222-21+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52-2200001+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+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ37222222-2-2-2-222222222222222222-200-2002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000022000022000000000000000000000000000000000000002-22-20000000000
χ38222222-2-2-2-222222222222222222-200-2002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000002200002200000000000000000000000000000000000000-22-220000000000
χ392222-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-222-2-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2222-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ402222-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-222-2-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-2-2221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ412222-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-2222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-222-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.