Finite Group Databasebeta

← Group #12144400

Character table — Group #12144400

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222444444444444444488888888888888888888888888161616161616161616161616161616161616161640404040404040404040404040404040
order1244222444551010101010102020202020202020444488881010101020202020882020202020202020404040404040404040404040404040404488202020202020202040404040404040402224444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11-111-11-1-111-1-111-1-1
χ6111111111111111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-11-1-11-111-1-111-1-111
χ7111111111111111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-1-11-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-111-111-1-1-1-11111-1-1
χ911111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111-111-111-1-1-1-111-1-1
χ1011111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-111
χ1111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ1211111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ1311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111111
χ1411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-1-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-11-111-1111-1-111-1-1-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-11-1-11-1-1-111-1-11111
χ172222222222−1+52−1−52−1+52−1−52−1+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+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+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+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+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+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+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+52−1−52221−521−521−521−521+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+522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+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+52−1−52221−521−521−521−521+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+52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ252222222222−1−52−1+52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ262222222222−1−52−1+52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−520000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+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+52221+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+521−521−521−521−522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+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+52221+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+521−521−521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ332222-22-2-2-222222-2-2-2-22222-2-2-2-2000022-2-222-2-2-2-22200000000000000000022-2-222-2-200000000000000000000000000002i−2i2i−2i0000
χ342222-22-2-2-222222-2-2-2-22222-2-2-2-2000022-2-222-2-2-2-22200000000000000000022-2-222-2-20000000000000000000000000000−2i2i−2i2i0000
χ352222-22-2-2-222222-2-2-2-22222-2-2-2-20000-2-22222-2-2-2-222000000000000000000-2-222-2-22200000000000000000000000000002i−2i−2i2i0000
χ362222-22-2-2-222222-2-2-2-22222-2-2-2-20000-2-22222-2-2-2-222000000000000000000-2-222-2-2220000000000000000000000000000−2i2i2i−2i0000
χ372222-2-222-2-22222-2-2-2-22222-2-2-2-222-2-20000-2-22222-2-20022-2-222-2-20000000000000000000000000000000000000000002i−2i0000002i−2i
χ382222-2-222-2-22222-2-2-2-22222-2-2-2-222-2-20000-2-22222-2-20022-2-222-2-2000000000000000000000000000000000000000000−2i2i000000−2i2i
χ392222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2220000-2-22222-2-200-2-222-2-2220000000000000000000000000000000000000000002i−2i000000−2i2i
χ402222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2220000-2-22222-2-200-2-222-2-222000000000000000000000000000000000000000000−2i2i0000002i−2i
χ4122-2-22-2-22-2222222222-2-2-2-2-2-2-2-22i−2i2i−2i2-22-2-2-2-2-222222i−2i2i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-22-22-2000000000000000000000000000000000000
χ4222-2-22-2-22-2222222222-2-2-2-2-2-2-2-22i−2i2i−2i-22-22-2-2-2-22222−2i2i2i−2i2i−2i2i−2i2i−2i−2i−2i2i2i−2i−2i2i2i-22-22-22-22000000000000000000000000000000000000
χ4322-2-22-2-22-2222222222-2-2-2-2-2-2-2-2−2i2i−2i2i2-22-2-2-2-2-22222−2i2i−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-22-22-2000000000000000000000000000000000000
χ4422-2-22-2-22-2222222222-2-2-2-2-2-2-2-2−2i2i−2i2i-22-22-2-2-2-222222i−2i−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i-22-22-22-22000000000000000000000000000000000000
χ4522-2-22-2-22-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i−2i2i−2i2-22-21−521+521−521+52−1+52−1−52−1+52−1−522i−2i−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+521−52−1+521−52−1−521+52−1−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000000000000000
χ4622-2-22-2-22-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i−2i2i−2i2-22-21−521+521−521+52−1+52−1−52−1+52−1−522i−2i−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+521−52−1+521−52−1−521+52−1−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
χ4722-2-22-2-22-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i−2i2i−2i-22-221−521+521−521+52−1+52−1−52−1+52−1−52−2i2i−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ71−52−1+521−52−1+521+52−1−521+52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
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χ978-88i−8i000000−2+25−2−252−252+25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ18−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000000−2−25−2+252+252−25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ14−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000000−2−25−2+252+252−254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ14−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ194ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i00000088-8-80000−8i8i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000000−2+25−2−252−252+254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ184ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ74ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000000−2+25−2−252−252+25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ184ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8−8i8i000000−2−25−2+252+252−25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ144ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i000000−2−25−2+252+252−254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ144ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ19−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000

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