Finite Group Databasebeta

← Group #12068132

Character table — Group #12068132

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size1111222222222222444444444444444444444444444448888888888888888888888888888881010101016161616161616161616161616161616202020202020404040404040404040404040
order1222444455101010101010244448888101010102020202020202020202020202020202044448888882020202040404040404040404040404040404040444420202020202020204040404040404040224444224488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111
χ8111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1
χ91111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-11-111-1-1-1-111-1-111
χ101111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-11-1-11111-1-111-1-1
χ111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-1111111-1-1-1-1
χ121111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1111-1-1-1-1-1-11111
χ131111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1-111-1-111-1-1
χ141111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-11-1-111-1-111-1-111
χ151111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11-1-1-11-1-1-111-1-1-1-11111
χ161111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-11111-1-1-1-1
χ171111-1-1-1-111111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−ii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−i1-1-11-111-11-1i−ii−ii−ii−i
χ181111-1-1-1-111111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−ii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-1ii−i−iii−i−i-111-11-1-11-11−ii−ii−ii−ii
χ191111-1-1-1-111111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−i−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111−i−iii−i−iii1-1-11-11-11-11−iii−ii−i−ii
χ201111-1-1-1-111111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−i−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111−i−iii−i−iii-111-11-11-11-1i−i−ii−iii−i
χ211111-1-1-1-111111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−iii1-1-11-111-11-1−ii−ii−ii−ii
χ221111-1-1-1-111111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-1−i−iii−i−iii-111-11-1-11-11i−ii−ii−ii−i
χ231111-1-1-1-111111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−iii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111ii−i−iii−i−i1-1-11-11-11-11i−i−ii−iii−i
χ241111-1-1-1-111111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−iii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111ii−i−iii−i−i-111-11-11-11-1−iii−ii−i−ii
χ251111-1-1-1-111111111-11-111ii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11−iii−i−ii1111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i−i−iii111-1-1-11-1-11−iii−i−iii−i
χ261111-1-1-1-111111111-11-111ii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11−iii−i−ii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111ii−i−i−i−iii-1-1-1111-111-1i−i−iii−i−ii
χ271111-1-1-1-111111111-11-111ii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1−ii−iii−i1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1−i−iiiii−i−i111-1-1-1-111-1i−ii−i−ii−ii
χ281111-1-1-1-111111111-11-111ii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1−ii−iii−i1111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiii−i−i-1-1-11111-1-11−ii−iii−ii−i
χ291111-1-1-1-111111111-11-111−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11i−i−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−i−iiiii−i−i111-1-1-11-1-11i−i−iii−i−ii
χ301111-1-1-1-111111111-11-111−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11i−i−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111−i−iiiii−i−i-1-1-1111-111-1−iii−i−iii−i
χ311111-1-1-1-111111111-11-111−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1i−ii−i−ii1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1ii−i−i−i−iii111-1-1-1-111-1−ii−iii−ii−i
χ321111-1-1-1-111111111-11-111−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1i−ii−i−ii1111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iii-1-1-11111-1-11i−ii−i−ii−ii
χ3322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+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+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ3522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-2−1+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+52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ3622222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-2−1+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+52−1−52-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222-2-2−1+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+520000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ3822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-222−1+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+5200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ3922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-222−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ4022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222222-2-2−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+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
χ4222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1+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+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ4322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-2−1−52−1−52−1+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+522222-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ4422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-2−1−52−1−52−1+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+52-2-2-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ4522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-222-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ4622222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-222−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ4722222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222-2-222−1−52−1+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+520000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ4822222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222222-2-2−1−52−1+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+5200001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ4922222-2-22222222222-2-22-200002222-2-2-2-2222222-2-2-2-2220000000000-2-2-2-2000000000000000022-2-20000000000000000-22-222-2000000000000
χ5022222-2-22222222222-2-22-200002222-2-2-2-2222222-2-2-2-2220000000000-2-2-2-20000000000000000-2-22200000000000000002-22-2-22000000000000
χ5122222-2-2222222222-2-22-220000-2-2-2-2222222-2-2-2-2-2-2-2-2220000000000-2-222000000000000000022-2-20000000000000000-2-22-222000000000000
χ5222222-2-2222222222-2-22-220000-2-2-2-2222222-2-2-2-2-2-2-2-2220000000000-2-2220000000000000000-2-222000000000000000022-22-2-2000000000000
χ532222-222-2222222222-2-2-2200002222-2-2-2-2-2-2-2-2-2-22222-2-20000000000-2-222000000000000000022220000000000000000-2-222-2-2000000000000
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χ1014-4-4404-40444-44-4-4-4000000000000000000000004-44-4000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.