Finite Group Databasebeta

← Group #12014448

Character table — Group #12014448

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111122222222222222222222224444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888840404040404040404040404040404040
order1222224444551010101010102020202020202020222244444444101010101010101010101010202020202020202020202020444444441010101020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii
χ71111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-1−i−i−i−iiiii
χ81111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111iiii−i−i−i−i
χ9111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ12111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ13111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ14111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ15111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ16111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ1711-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−ii−i1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1-1i−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ1811-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−ii−i1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1-1i−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-11−ii-11−ii
χ1911-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−ii−i1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i-11−ii-11−ii11-1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1-1i−i1-1i−i-11−ii-11−ii
χ2011-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−ii−i1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i-11−ii-11−ii11-1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-11−ii-11−ii1-1i−i1-1i−i
χ2111-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1-11i−i−ii−ii-1111-1-1-1-1-1-11111ii−i−i−i−i−i−iiiiii−i-11−ii1-111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-1i−i-11−iii−i-11−ii1-1
χ2211-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1-11i−i−ii−ii-1111-1-1-1-1-1-11111ii−i−i−i−i−i−iiiiii−i-11−ii1-111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-11−ii1-1i−i−ii1-1i−i-11
χ2311-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1-11i−i−ii−ii-1111-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii−ii1-1i−i-1111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-111111-1i−i-11−ii−ii1-1i−i-11
χ2411-1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1-11i−i−ii−ii-1111-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii−ii1-1i−i-1111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11−ii1-1i−ii−i-11−ii1-1
χ2511-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii−ii1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1-1−ii11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii1-1−ii1-1−ii
χ2611-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii−ii1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1-1−ii11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-11i−i-11i−i
χ2711-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii−ii1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii-11i−i-11i−i11-1-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii1-1−ii-11i−i-11i−i
χ2811-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii−ii1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii-11i−i-11i−i11-1-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-11i−i-11i−i1-1−ii1-1−ii
χ2911-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1-11−iii−ii−i-1111-1-1-1-1-1-11111−i−iiiiiii−i−i−i−ii−i1-1−ii-1111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-111111-1−ii-11i−ii−i1-1−ii-11
χ3011-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1-11−iii−ii−i-1111-1-1-1-1-1-11111−i−iiiiiii−i−i−i−ii−i1-1−ii-1111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11i−i1-1−ii−ii-11i−i1-1
χ3111-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1-11−iii−ii−i-1111-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−ii-11i−i1-111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-1−ii-11i−i−ii-11i−i1-1
χ3211-1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1-11−iii−ii−i-1111-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−ii-11i−i1-111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-11i−i1-1−iii−i1-1−ii-11
χ3322222222222222222222222222-2-222-2-222-2-2-2-222222222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ3422222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ352222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ362222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ372222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+522i2i2i2i−2i−2i−2i−2i−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000000000000
χ382222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−2i−2i−2i−2i2i2i2i2i−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000000000000
χ392222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ402222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ412222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000000000000
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χ1318-8-88000000−2+25−2−252−252+25−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ19−4ζ3+4ζ74ζ3−4ζ74ζ11−4ζ19−4ζ11+4ζ194ζ3−4ζ7−4ζ3+4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88000000−2+25−2−252−252+25−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ194ζ3−4ζ7−4ζ3+4ζ7−4ζ11+4ζ194ζ11−4ζ19−4ζ3+4ζ74ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88000000−2−25−2+252+252−25−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ7−4ζ11+4ζ194ζ11−4ζ19−4ζ3+4ζ74ζ3−4ζ74ζ11−4ζ19−4ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88000000−2−25−2+252+252−25−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ74ζ11−4ζ19−4ζ11+4ζ194ζ3−4ζ7−4ζ3+4ζ7−4ζ11+4ζ194ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.