Finite Group Databasebeta

← Group #12131854

Character table — Group #12131854

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222222222224444444444448888888888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order1244222444551010101010102020202020202020444410101010202020202244448810101010202020202020202020202020202020202020202048101020202020202040404040404040402244224444448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-11-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1
χ4111111111111111111111111111111111111111-11-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ511111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-11-1111-1-111-1-1
χ611111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ911111111111111111111111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11-1
χ1011111111111111111111111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-11
χ1111111111111111111111111111-1-1-1-1111111111-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-11
χ1211111111111111111111111111-1-1-1-1111111111-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1
χ1311111111111111111111111111-1-1-1-111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-11
χ1411111111111111111111111111-1-1-1-111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1
χ1511111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-111111-11-1-1-1-1-1111-1
χ1611111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-11
χ172222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-222-2-2−1+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+52−1−52−1−52−1−52−1−52-2-21−521+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+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+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+52221−521+52−1+52−1+52−1−52−1−521−521+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-222−1+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+52-221−521+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1+52−1−52−1−521−521+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+522222−1−52−1+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+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+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+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-222-2-2−1−52−1−52−1+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+52-2-21+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+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+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+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−52221+521−52−1−52−1−52−1+52−1+521+521−521+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+52-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-221+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+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2222-2-21+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+52-22−1−52−1+521+521+521−521−52−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222221+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+522-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ332222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222-22-2000000000000000022-2-222-2-2000000000000000000000000002-22-200002-2000000
χ342222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222-22-2000000000000000022-2-222-2-200000000000000000000000000-22-220000-22000000
χ352222-2-222-2-222-2-2-2-22222-2-222-2-2-2-222-2-2222-22-20000000000000000-2-222-2-222000000000000000000000000002-22-20000-22000000
χ362222-2-222-2-222-2-2-2-22222-2-222-2-2-2-222-2-2222-22-20000000000000000-2-222-2-22200000000000000000000000000-22-2200002-2000000
χ3722-2-2222-2-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-220-2000002222-2-2-2-200000000000000000000000000000000002-2-220000002-20000
χ3822-2-2222-2-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-220-2000002222-2-2-2-20000000000000000000000000000000000-222-2000000-220000
χ3922-2-2222-2-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-2-20200000-2-2-2-2222200000000000000000000000000000000002-2-22000000-220000
χ4022-2-2222-2-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-2-20200000-2-2-2-222220000000000000000000000000000000000-222-20000002-20000
χ4122-2-22-2-22-2222222222-2-2-2-2-2-2-2-22i−2i2i−2i-2-2-2-22222020-2002i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000220000-2-22i−2i2i−2i00000000000000000000
χ4222-2-22-2-22-2222222222-2-2-2-2-2-2-2-22i−2i2i−2i-2-2-2-222220-20200−2i2i000000002i−2i2i−2i2i−2i2i−2i0000000000-2-2000022−2i2i−2i2i00000000000000000000
χ4322-2-22-2-22-2222222222-2-2-2-2-2-2-2-2−2i2i−2i2i-2-2-2-22222020-200−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000220000-2-2−2i2i−2i2i00000000000000000000
χ4422-2-22-2-22-2222222222-2-2-2-2-2-2-2-2−2i2i−2i2i-2-2-2-222220-202002i−2i00000000−2i2i−2i2i−2i2i−2i2i0000000000-2-20000222i−2i2i−2i00000000000000000000
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−2i1−521+521−521+52−1+52−1+52−1−52−1−52020-2002i−2iζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+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−2i1−521+521−521+52−1+52−1+52−1−52−1−52020-2002i−2i−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ11−ζ19ζ11+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−2i1−521+521−521+52−1+52−1+52−1−52−1−520-20200−2i2iζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
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χ968-88i−8i000000−2+25−2−254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ182−252+25−4ζ11−4ζ194ζ11+4ζ19−4ζ11+4ζ194ζ11−4ζ19−4ζ3−4ζ74ζ3+4ζ74ζ3−4ζ7−4ζ3+4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88i−8i000000−2+25−2−25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ182−252+25−4ζ11−4ζ194ζ11+4ζ194ζ11−4ζ19−4ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ7−4ζ3+4ζ74ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000000−2−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−25−4ζ3−4ζ74ζ3+4ζ7−4ζ3+4ζ74ζ3−4ζ7−4ζ11−4ζ194ζ11+4ζ19−4ζ11+4ζ194ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000000−2−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−25−4ζ3−4ζ74ζ3+4ζ74ζ3−4ζ7−4ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ194ζ11−4ζ19−4ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000000880000-8-8−8i8i00−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000000−2+25−2−254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ182−252+254ζ11+4ζ19−4ζ11−4ζ194ζ11−4ζ19−4ζ11+4ζ194ζ3+4ζ7−4ζ3−4ζ7−4ζ3+4ζ74ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000000−2+25−2−25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ182−252+254ζ11+4ζ19−4ζ11−4ζ19−4ζ11+4ζ194ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ74ζ3−4ζ7−4ζ3+4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8−8i8i000000−2−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−254ζ3+4ζ7−4ζ3−4ζ74ζ3−4ζ7−4ζ3+4ζ74ζ11+4ζ19−4ζ11−4ζ194ζ11−4ζ19−4ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i000000−2−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−254ζ3+4ζ7−4ζ3−4ζ7−4ζ3+4ζ74ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ19−4ζ11+4ζ194ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000

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