Finite Group Databasebeta

← Group #11996053

Character table — Group #11996053

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size11112222222222222222222222224444444444444444444444444448888888888888888888888888888888888888888161616161616161616162020202020202020202020202020202080808080
order1222224444445510101010101010101010101010102222444444420202020202020202020202020202020888810101010101010102020202020202020202020204040404040404040404040404040404044202020202020202088888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-1111-1-11111-1-11111-1-1-1-1-1-1ii−i−i1111-1-1-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1
χ101111-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-1111-1-11111-1-11111-1-1-1-1-1-1ii−i−i1111-1-1-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-11
χ111111-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-1111-1-11111-1-11111-1-1-1-1-1-1−i−iii1111-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-11
χ121111-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-1111-1-11111-1-11111-1-1-1-1-1-1−i−iii1111-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ131111-1-11-1-11-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1-1111111-1-11111-1-1-1-1-1-1ii−i−i-1-1-1-1111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11
χ141111-1-11-1-11-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1-1111111-1-11111-1-1-1-1-1-1ii−i−i-1-1-1-1111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-111-1
χ151111-1-11-1-11-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1-1111111-1-11111-1-1-1-1-1-1−i−iii-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-111-1
χ161111-1-11-1-11-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1-1111111-1-11111-1-1-1-1-1-1−i−iii-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222-2-2-2-2−1+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+52−1−5222221−521−521+521+521−521−521+521+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222-2-2-2-2−1+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+52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−5200000000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222-2-2-2-2−1−52−1−52−1+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+5222221+521+521−521−521+521+521−521−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222-2-2-2-2−1−52−1−52−1+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+52-2-2-2-21+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+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+5200000000000000000000
χ252222222222-2-222222222222222222222-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000
χ262222222222-2-22222222222222222-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2220000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000
χ272222222222-2-2−1+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+52−1−522222-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−520000−1+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+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−ζ3600000000000000000000
χ282222222222-2-2−1+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+52−1−522222-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−520000−1+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−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+ζ3600000000000000000000
χ292222222222-2-2−1+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+52−1−52-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−5200001−521−521+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+ζ3600000000000000000000
χ302222222222-2-2−1+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+52−1−52-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−5200001−521−521+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−ζ3600000000000000000000
χ312222222222-2-2−1−52−1+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+522222-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−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−ζ2800000000000000000000
χ322222222222-2-2−1−52−1+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+522222-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52ζ4−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+ζ2800000000000000000000
χ332222222222-2-2−1−52−1+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+52-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+5200001+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+ζ2800000000000000000000
χ342222222222-2-2−1−52−1+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+52-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+5200001+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−ζ2800000000000000000000
χ35222222-2-2-2-22222222222222222220000-2-220000-2-2-2-2-2-222222222-2-2000000000000-2-2-2-200000000000000000000000000000000000000000022-2-222-2-20000
χ36222222-2-2-2-22222222222222222220000-2-220000-2-2-2-2-2-222222222-2-2000000000000-2-2-2-2000000000000000000000000000000000000000000-2-222-2-2220000
χ37222222-2-2-2-2-2-22222222222222222000022-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000222200000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ38222222-2-2-2-2-2-22222222222222222000022-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022220000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
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χ402222-2-22-2-222222-2-2-2-22222-2-2-2-222-2-222-22-222-2-22222-2-2-2-2-2-22222-2-20000-2-2-2-22222-2-2222222-2-2-2-20000000000000000000000000000000000000000000000
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χ1218-8-8800000000880000-8-8-8-80000880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8800000000−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252−252+252+25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800000000−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252−252+252+254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-8800000000−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252+252−252−254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8800000000−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252+252−252−25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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