Finite Group Databasebeta

← Group #64949

Character table — Group #64949

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222222224444444444444444444444444444442020202020202020
order1222222255101010101010101010101010101044444420202020202020202020202020202020202020202020202044444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ922222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ1022222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000
χ1122222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-21−521−521−521−521+521+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+5200000000
χ1222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ1322222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000
χ1422222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000
χ1522222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000
χ1622222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000
χ172222-2-2-2-22222-2-222-2-22-2-22-2-22-2000022-2-222-2-2000000000000000000000000
χ182222-2-2-2-22222-2-222-2-22-2-22-2-2-220000-2-222-2-222000000000000000000000000
χ192222-2-2-2-2−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+522-20000−1+52−1+521−521−52−1−52−1−521+521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700000000
χ202222-2-2-2-2−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+522-20000−1+52−1+521−521−52−1−52−1−521+521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700000000
χ212222-2-2-2-2−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52-2200001−521−52−1+52−1+521+521+52−1−52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700000000
χ222222-2-2-2-2−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52-2200001−521−52−1+52−1+521+521+52−1−52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700000000
χ232222-2-2-2-2−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−522-20000−1−52−1−521+521+52−1+52−1+521−521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900000000
χ242222-2-2-2-2−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−522-20000−1−52−1−521+521+52−1+52−1+521−521−52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900000000
χ252222-2-2-2-2−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52-2200001+521+52−1−52−1−521−521−52−1+52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900000000
χ262222-2-2-2-2−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52-2200001+521+52−1−52−1−521−521−52−1+52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900000000
χ2722-2-22-22-2222-2-2-22-2-2-2-222-2220000000000000000000000000000002i−2i000000
χ2822-2-22-22-2222-2-2-22-2-2-2-222-222000000000000000000000000000000−2i2i000000
χ2922-2-2-22-22222-2222-222-2-2-2-2-2-2000000000000000000000000000000002i−2i0000
χ3022-2-2-22-22222-2222-222-2-2-2-2-2-200000000000000000000000000000000−2i2i0000
χ312-22-22-2-2222-222-2-222-2-22-2-22-200002i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ322-22-22-2-2222-222-2-222-2-22-2-22-20000−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ332-22-22-2-22−1+52−1−521−52−1+52−1+521−521+52−1−52−1−521+521−52−1+521−521+52−1−521+5200002i−2i−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000
χ342-22-22-2-22−1+52−1−521−52−1+52−1+521−521+52−1−52−1−521+521−52−1+521−521+52−1−521+5200002i−2iζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000
χ352-22-22-2-22−1+52−1−521−52−1+52−1+521−521+52−1−52−1−521+521−52−1+521−521+52−1−521+520000−2i2i−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000
χ362-22-22-2-22−1+52−1−521−52−1+52−1+521−521+52−1−52−1−521+521−52−1+521−521+52−1−521+520000−2i2iζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000
χ372-22-22-2-22−1−52−1+521+52−1−52−1−521+521−52−1+52−1+521−521+52−1−521+521−52−1+521−5200002i−2iζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ1900000000
χ382-22-22-2-22−1−52−1+521+52−1−52−1−521+521−52−1+52−1+521−521+52−1−521+521−52−1+521−5200002i−2i−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ1900000000
χ392-22-22-2-22−1−52−1+521+52−1−52−1−521+521−52−1+52−1+521−521+52−1−521+521−52−1+521−520000−2i2iζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ1900000000
χ402-22-22-2-22−1−52−1+521+52−1−52−1−521+521−52−1+52−1+521−521+52−1−521+521−52−1+521−520000−2i2i−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ1900000000
χ412-22-2-222-222-22-22-22-22-2-22-2-22002i−2i00000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ422-22-2-222-222-22-22-22-22-2-22-2-2200−2i2i0000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ432-22-2-222-2−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−52−1+521+521+52−1−52002i−2i00−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ1800000000
χ442-22-2-222-2−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−52−1+521+521+52−1−52002i−2i00ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ1800000000
χ452-22-2-222-2−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−52−1+521+521+52−1−5200−2i2i00−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ1800000000
χ462-22-2-222-2−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−52−1+521+521+52−1−5200−2i2i00ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ1800000000
χ472-22-2-222-2−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+52−1−521−521−52−1+52002i−2i00ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ1400000000
χ482-22-2-222-2−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+52−1−521−521−52−1+52002i−2i00−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ1400000000
χ492-22-2-222-2−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+52−1−521−521−52−1+5200−2i2i00ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ1400000000
χ502-22-2-222-2−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+52−1−521−521−52−1+5200−2i2i00−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ1400000000
χ512-2-2222-2-222-2-2-22-2-2-2222-222-20000000000000000000000000000000000002i−2i
χ522-2-2222-2-222-2-2-22-2-2-2222-222-2000000000000000000000000000000000000−2i2i
χ532-2-22-2-22222-2-22-2-2-22-22-222-2200000000000000000000000000000000002-200
χ542-2-22-2-22222-2-22-2-2-22-22-222-220000000000000000000000000000000000-2200
χ5544-4-44-44-4−1+5−1−5−1+51−51−51−5−1−51+51+51+51−5−1+5−1+51+5−1−5−1−500000000000000000000000000000000000000
χ5644-4-44-44-4−1−5−1+5−1−51+51+51+5−1+51−51−51−51+5−1−5−1−51−5−1+5−1+500000000000000000000000000000000000000
χ5744-4-4-44-44−1+5−1−5−1+51−5−1+5−1+5−1−51+5−1−5−1−51−51−51−51+51+51+500000000000000000000000000000000000000
χ5844-4-4-44-44−1−5−1+5−1−51+5−1−5−1−5−1+51−5−1+5−1+51+51+51+51−51−51−500000000000000000000000000000000000000
χ594-4-4444-4-4−1+5−1−51−51−51−5−1+51+51+51+5−1−5−1+5−1+51−5−1−5−1−51+500000000000000000000000000000000000000
χ604-4-4444-4-4−1−5−1+51+51+51+5−1−51−51−51−5−1+5−1−5−1−51+5−1+5−1+51−500000000000000000000000000000000000000
χ614-4-44-4-444−1+5−1−51−51−5−1+51−51+51+5−1−51+5−1+51−5−1+5−1−51+5−1−500000000000000000000000000000000000000
χ624-4-44-4-444−1−5−1+51+51+5−1−51+51−51−5−1+51−5−1−51+5−1−5−1+51−5−1+500000000000000000000000000000000000000

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