Finite Group Databasebeta

← Group #13005791

Character table — Group #13005791

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11222222222222244444444444448888888888202020204040112222222222222444444444444488888888882020202040401122222222222224444444444444888888888820202020404011222222222222244444444444448888888888202020204040
order12244558810102020202081010202040404040404040402410101010202020201616161622222441010881010202020208101020204040404040404040241010101020202020161616162222244101088101020202020810102020404040404040404024101010102020202016161616222224410108810102020202081010202040404040404040402410101010202020201616161622
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11-111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11-111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11-111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11-1
χ611-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-111-1111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-111-1111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-111-1111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-111-11
χ711-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ811-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1111-111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1111-111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1111-111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1111-1
χ92222222-2-2222222-22222-2-2-2-2-2-2-2-200000000000000002222222-2-2222222-22222-2-2-2-2-2-2-2-200000000000000002222222-2-2222222-22222-2-2-2-2-2-2-2-200000000000000002222222-2-2222222-22222-2-2-2-2-2-2-2-20000000000000000
χ1022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−52000000
χ1122222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52000000
χ1222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000
χ1322222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000
χ1422222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+52000000
χ1522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−52000000
χ1622222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000
χ1722222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000
χ18222-2-2220022-2-2-2-2022-2-20000000000000000002−22−200222-2-2220022-2-2-2-2022-2-20000000000000000002−22−200222-2-2220022-2-2-2-2022-2-20000000000000000002−22−200222-2-2220022-2-2-2-2022-2-20000000000000000002−22−200
χ19222-2-2220022-2-2-2-2022-2-2000000000000000000−22−2200222-2-2220022-2-2-2-2022-2-2000000000000000000−22−2200222-2-2220022-2-2-2-2022-2-2000000000000000000−22−2200222-2-2220022-2-2-2-2022-2-2000000000000000000−22−2200
χ2022-22-222002222220-2-2-2-20000000000000000002−2−220022-22-222002222220-2-2-2-20000000000000000002−2−220022-22-222002222220-2-2-2-20000000000000000002−2−220022-22-222002222220-2-2-2-20000000000000000002−2−2200
χ2122-22-222002222220-2-2-2-2000000000000000000−222−20022-22-222002222220-2-2-2-2000000000000000000−222−20022-22-222002222220-2-2-2-2000000000000000000−222−20022-22-222002222220-2-2-2-2000000000000000000−222−200
χ2222-2-2222-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000022-2-2222-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000022-2-2222-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000022-2-2222-2-222-2-2-2-22-2-222-2-2-2-222220000000000000000
χ2322-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000022-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000022-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000022-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000
χ2422-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000022-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000022-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000022-2-22−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000
χ2522-2-22−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022-2-22−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022-2-22−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022-2-22−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1).