Finite Group Databasebeta

← Group #11996227

Character table — Group #11996227

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size111122222222222222224444444444444444444444488888888888888888888888816161616161616161616161616161616161616164040404040404040404040408080
order1222224444445510101010101044410101010202020202020202020202020202020204444202020202020202020202020202020202020202044882020202020202020404040404040404044444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ91111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-1ii−i−iii−i−i1-1
χ101111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11−i−iii−i−iii-11
χ111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii1-11-1ii−i−i−i−iii-11
χ121111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii-11-11−i−iiiii−i−i1-1
χ131111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-1−i−iii−i−iii1-1
χ141111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11ii−i−iii−i−i-11
χ151111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i1-11-1−i−iiiii−i−i-11
χ161111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i-11-11ii−i−i−i−iii1-1
χ17222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−5200000000000000
χ18222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ19222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ20222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ21222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+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+5200000000000000
χ22222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ23222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ24222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2522222222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-222-2-222-2-222-2-20000000000000000000000000000000000
χ2622222222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-222-2-222-2-2220000000000000000000000000000000000
χ2722222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-21−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ2822222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-21−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ2922222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2221−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ3022222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2221−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ3122222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-21+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000
χ3222222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-21+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000
χ3322222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-2221+521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000
χ3422222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-2221+521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000
χ35222222-2-222-2-222222222-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2000022-2-200000000000000000000000000000000000000002-22-2000000
χ36222222-2-222-2-222222222-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2000022-2-20000000000000000000000000000000000000000-22-22000000
χ37222222-2-2-2-22222222222-2-222222-2-2-2-222222222-2-2-2-20000-2-2-2-200000000000000000000000000000000000022-2-20000000000
χ38222222-2-2-2-22222222222-2-222222-2-2-2-222222222-2-2-2-20000-2-2-2-2000000000000000000000000000000000000-2-2220000000000
χ392222-2-222222222222222-2-2-2-2-2-2-222222222-2-2-2-222220000-2-2-2-20000000000000000000000000000000000002-2-220000000000
χ402222-2-222222222222222-2-2-2-2-2-2-222222222-2-2-2-222220000-2-2-2-2000000000000000000000000000000000000-222-20000000000
χ412222-2-222-2-2-2-222222222-222-2-2-2-2-2-2-2-2-2-2-2-222222222000022-2-200000000000000000000000000000000000000002i−2i−2i2i000000
χ422222-2-222-2-2-2-222222222-222-2-2-2-2-2-2-2-2-2-2-2-222222222000022-2-20000000000000000000000000000000000000000−2i2i2i−2i000000
χ432222-2-2-2-222-2-2222222222-22-2-2-2-22222-2-2-2-22222-2-2-2-22i−2i−2i2i-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ442222-2-2-2-222-2-2222222222-22-2-2-2-22222-2-2-2-22222-2-2-2-2−2i2i2i−2i-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ452222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−2i2i1−521+52−1+52−1−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ70000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000000000
χ462222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−2i2i1−521+52−1+52−1−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ70000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ472222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i2i−2i1−521+52−1+52−1−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ70000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ482222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i2i−2i1−521+52−1+52−1−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ70000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000000000
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χ582222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i−2i2i−2i−1−52−1+52−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1900000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.