Finite Group Databasebeta

← Group #13034796

Character table — Group #13034796

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112244444444555588888881010101010101616161620202020202020202020202020204040401111224444444455558888888101010101010161616162020202020202020202020202020404040
order12224444588101010222242020404040404444442020202044444444888888444222244441088101010222242020404040404444442020202044444444888888444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11-1-111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11-1-1
χ311111111111111-1-1-1-11111111-1ii−i−i-11111-1-1iii−i−i−i-1-1ii−i−i-1i−i11111111111111-1-1-1-11111111-1ii−i−i-11111-1-1iii−i−i−i-1-1ii−i−i-1i−i
χ411111111111111-1-1-1-11111111-1−i−iii-11111-1-1−i−i−iiii-1-1−i−iii-1−ii11111111111111-1-1-1-11111111-1−i−iii-11111-1-1−i−i−iiii-1-1−i−iii-1−ii
χ5111111111-1-11111111-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1
χ6111111111-1-11111111-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-111111111111-1-11111111-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-111
χ7111111111-1-1111-1-1-1-1-111-1-1-1-1-1ii−i−i-1-1-111-1-1iii−i−i−i11−i−iii1−ii111111111-1-1111-1-1-1-1-111-1-1-1-1-1ii−i−i-1-1-111-1-1iii−i−i−i11−i−iii1−ii
χ8111111111-1-1111-1-1-1-1-111-1-1-1-1-1−i−iii-1-1-111-1-1−i−i−iiii11ii−i−i1i−i111111111-1-1111-1-1-1-1-111-1-1-1-1-1−i−iii-1-1-111-1-1−i−i−iiii11ii−i−i1i−i
χ9111111-1-11111111111-1111111111111-1-1-1-1-1-11-1-11-1-1111111-1-1-1111111-1-11111111111-1111111111111-1-1-1-1-1-11-1-11-1-1111111-1-1-1
χ10111111-1-11111111111-11111111-1-1-1-11-1-1-1-1-1-1-111-11111-1-1-1-1-111111111-1-11111111111-11111111-1-1-1-11-1-1-1-1-1-1-111-11111-1-1-1-1-111
χ11111111-1-1111111-1-1-1-1-1111111-1ii−i−i-1-1-1-1-111i−i−i−iii-1-1ii−i−i1−ii111111-1-1111111-1-1-1-1-1111111-1ii−i−i-1-1-1-1-111i−i−i−iii-1-1ii−i−i1−ii
χ12111111-1-1111111-1-1-1-1-1111111-1−i−iii-1-1-1-1-111−iiii−i−i-1-1−i−iii1i−i111111-1-1111111-1-1-1-1-1111111-1−i−iii-1-1-1-1-111−iiii−i−i-1-1−i−iii1i−i
χ13111111-1-11-1-11111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111
χ14111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111-1-1-1-1-111-111-1-111111-1-1111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111-1-1-1-1-111-111-1-111111-1-1
χ15111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1ii−i−i-111-1-111i−i−i−iii11−i−iii-1i−i111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1ii−i−i-111-1-111i−i−i−iii11−i−iii-1i−i
χ16111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1−i−iii-111-1-111−iiii−i−i11ii−i−i-1−ii111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1−i−iii-111-1-111−iiii−i−i11ii−i−i-1−ii
χ172222-2-20020022222220-2-20000-22222-2000000-200-2000000000002222-2-20020022222220-2-20000-22222-2000000-200-200000000000
χ182222-2-20020022222220-2-20000-2-2-2-2-2-20000002002000000000002222-2-20020022222220-2-20000-2-2-2-2-2-2000000200200000000000
χ192222-2-200200222-2-2-2-20-2-2000022i2i−2i−2i2000000−2i002i000000000002222-2-200200222-2-2-2-20-2-2000022i2i−2i−2i2000000−2i002i00000000000
χ202222-2-200200222-2-2-2-20-2-200002−2i−2i2i2i20000002i00−2i000000000002222-2-200200222-2-2-2-20-2-200002−2i−2i2i2i20000002i00−2i00000000000
χ2122-2-2000022−22-2-22-22-200022−2−202-22-200000000000002−22−22−200022-2-2000022−22-2-22-22-200022−2−202-22-200000000000002−22−22−2000
χ2222-2-2000022−22-2-22-22-200022−2−20-22-2200000000000002−2−22−2200022-2-2000022−22-2-22-22-200022−2−20-22-2200000000000002−2−22−22000
χ2322-2-2000022−22-2-2-22-2200022−2−202i−2i−2i2i0000000000000−22i2−i2−i2i200022-2-2000022−22-2-2-22-2200022−2−202i−2i−2i2i0000000000000−22i2−i2−i2i2000
χ2422-2-2000022−22-2-2-22-2200022−2−20−2i2i2i−2i0000000000000−22−i2i2i2−i200022-2-2000022−22-2-2-22-2200022−2−20−2i2i2i−2i0000000000000−22−i2i2i2−i2000
χ2522-2-200002−222-2-22-22-2000−2−22202-22-20000000000000−22−22−2200022-2-200002−222-2-22-22-2000−2−22202-22-20000000000000−22−22−22000
χ2622-2-200002−222-2-22-22-2000−2−2220-22-220000000000000−222−22−200022-2-200002−222-2-22-22-2000−2−2220-22-220000000000000−222−22−2000
χ2722-2-200002−222-2-2-22-22000−2−22202i−2i−2i2i00000000000002−2−i2i2i2−i200022-2-200002−222-2-2-22-22000−2−22202i−2i−2i2i00000000000002−2−i2i2i2−i2000
χ2822-2-200002−222-2-2-22-22000−2−2220−2i2i2i−2i00000000000002−2i2−i2−i2i200022-2-200002−222-2-2-22-22000−2−2220−2i2i2i−2i00000000000002−2i2−i2−i2i2000
χ292-2-222-22-2200-2-2222-2-202-2000020000-2002-22-20000000000000002-2-222-22-2200-2-2222-2-202-2000020000-2002-22-2000000000000000
χ302-2-222-22-2200-2-22-2-22202-20000-200002002-2-220000000000000002-2-222-22-2200-2-22-2-22202-20000-200002002-2-22000000000000000
χ312-2-222-2-22200-2-2222-2-202-2000020000-200-22-220000000000000002-2-222-2-22200-2-2222-2-202-2000020000-200-22-22000000000000000
χ322-2-222-2-22200-2-22-2-22202-20000-20000200-222-20000000000000002-2-222-2-22200-2-22-2-22202-20000-20000200-222-2000000000000000
χ332-2-22-2200200-2-2222-2-20-220000-20000200000002i−2i02i−2i0000000002-2-22-2200200-2-2222-2-20-220000-20000200000002i−2i02i−2i000000000
χ342-2-22-2200200-2-2222-2-20-220000-2000020000000−2i2i0−2i2i0000000002-2-22-2200200-2-2222-2-20-220000-2000020000000−2i2i0−2i2i000000000
χ352-2-22-2200200-2-22-2-2220-22000020000-200000002-20-220000000002-2-22-2200200-2-22-2-2220-22000020000-200000002-20-22000000000
χ362-2-22-2200200-2-22-2-2220-22000020000-20000000-2202-20000000002-2-22-2200200-2-22-2-2220-22000020000-20000000-2202-2000000000
χ3744444444-144-1-1-100004-1-1-1-1-1-1000000-1-1-1-10000000000000000044444444-144-1-1-100004-1-1-1-1-1-1000000-1-1-1-100000000000000000
χ3844444444-1-4-4-1-1-10000-4-1-1111100000011-1-10000000000000000044444444-1-4-4-1-1-10000-4-1-1111100000011-1-100000000000000000
χ39444444-4-4-144-1-1-10000-4-1-1-1-1-1-1000000111100000000000000000444444-4-4-144-1-1-10000-4-1-1-1-1-1-1000000111100000000000000000
χ40444444-4-4-1-4-4-1-1-100004-1-11111000000-1-11100000000000000000444444-4-4-1-4-4-1-1-100004-1-11111000000-1-11100000000000000000
χ414-44-40000400-44-44-4-4400000000000000000000000000000000004-44-40000400-44-44-4-440000000000000000000000000000000000
χ424-44-40000400-44-4-444-400000000000000000000000000000000004-44-40000400-44-4-444-40000000000000000000000000000000000
χ434-4-444-44-4-10011-100000-11i5−i5i5−i5000000i5−i5-11000000000000000004-4-444-44-4-10011-100000-11i5−i5i5−i5000000i5−i5-1100000000000000000
χ444-4-444-44-4-10011-100000-11−i5i5−i5i5000000−i5i5-11000000000000000004-4-444-44-4-10011-100000-11−i5i5−i5i5000000−i5i5-1100000000000000000
χ454-4-444-4-44-10011-100000-11i5−i5i5−i5000000−i5i51-1000000000000000004-4-444-4-44-10011-100000-11i5−i5i5−i5000000−i5i51-100000000000000000
χ464-4-444-4-44-10011-100000-11−i5i5−i5i5000000i5−i51-1000000000000000004-4-444-4-44-10011-100000-11−i5i5−i5i5000000i5−i51-100000000000000000
χ478888-8-800-200-2-2-2000002200000000000000000000000000000008888-8-800-200-2-2-200000220000000000000000000000000000000
χ4888-8-80000-242−42-2220000000−2−22200000000000000000000000000088-8-80000-242−42-2220000000−2−222000000000000000000000000000
χ4988-8-80000-2−4242-222000000022−2−200000000000000000000000000088-8-80000-2−4242-222000000022−2−2000000000000000000000000000
χ508-88-80000-2002-220000000i10−i10−i10i100000000000000000000000000008-88-80000-2002-220000000i10−i10−i10i10000000000000000000000000000
χ518-88-80000-2002-220000000−i10i10i10−i100000000000000000000000000008-88-80000-2002-220000000−i10i10i10−i10000000000000000000000000000
χ528-8-88-8800-20022-2000002-200000000000000000000000000000008-8-88-8800-20022-2000002-20000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-111
χ5511111111111111-1-1-1-11111111-1ii−i−i-11111-1-1iii−i−i−i-1-1ii−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11−i−iii1-1-1-1-111−i−i−iiii11−i−iii1−ii
χ5611111111111111-1-1-1-11111111-1−i−iii-11111-1-1−i−i−iiii-1-1−i−iii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11ii−i−i1-1-1-1-111iii−i−i−i11ii−i−i1i−i
χ57111111111-1-11111111-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111
χ58111111111-1-11111111-111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-11111-111-1-1-1-111111111-1-1-1-11-1-1
χ59111111111-1-1111-1-1-1-1-111-1-1-1-1-1ii−i−i-1-1-111-1-1iii−i−i−i11−i−iii1−ii-1-1-1-1-1-1-1-1-111-1-1-111111-1-111111−i−iii111-1-111−i−i−iiii-1-1ii−i−i-1i−i
χ60111111111-1-1111-1-1-1-1-111-1-1-1-1-1−i−iii-1-1-111-1-1−i−i−iiii11ii−i−i1i−i-1-1-1-1-1-1-1-1-111-1-1-111111-1-111111ii−i−i111-1-111iii−i−i−i-1-1−i−iii-1−ii
χ61111111-1-11111111111-1111111111111-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1-1-1111
χ62111111-1-11111111111-11111111-1-1-1-11-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-11111111-1-11-1-1-1-111111-1-1
χ63111111-1-1111111-1-1-1-1-1111111-1ii−i−i-1-1-1-1-111i−i−i−iii-1-1ii−i−i1−ii-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-11−i−iii11111-1-1−iiii−i−i11−i−iii-1i−i
χ64111111-1-1111111-1-1-1-1-1111111-1−i−iii-1-1-1-1-111−iiii−i−i-1-1−i−iii1i−i-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-11ii−i−i11111-1-1i−i−i−iii11ii−i−i-1−ii
χ65111111-1-11-1-11111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111111111-1-1-1
χ66111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111-1-1-1-1-111-111-1-111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-111111-1-11-1-111-1-1-1-1-111
χ67111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1ii−i−i-111-1-111i−i−i−iii11−i−iii-1i−i-1-1-1-1-1-111-111-1-1-11111-1-1-111111−i−iii1-1-111-1-1−iiii−i−i-1-1ii−i−i1−ii
χ68111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1−i−iii-111-1-111−iiii−i−i11ii−i−i-1−ii-1-1-1-1-1-111-111-1-1-11111-1-1-111111ii−i−i1-1-111-1-1i−i−i−iii-1-1−i−iii1i−i
χ692222-2-20020022222220-2-20000-22222-2000000-200-200000000000-2-2-2-22200-200-2-2-2-2-2-2-202200002-2-2-2-22000000200200000000000
χ702222-2-20020022222220-2-20000-2-2-2-2-2-2000000200200000000000-2-2-2-22200-200-2-2-2-2-2-2-20220000222222000000-200-200000000000
χ712222-2-200200222-2-2-2-20-2-2000022i2i−2i−2i2000000−2i002i00000000000-2-2-2-22200-200-2-2-222220220000-2−2i−2i2i2i-20000002i00−2i00000000000
χ722222-2-200200222-2-2-2-20-2-200002−2i−2i2i2i20000002i00−2i00000000000-2-2-2-22200-200-2-2-222220220000-22i2i−2i−2i-2000000−2i002i00000000000
χ7322-2-2000022−22-2-22-22-200022−2−202-22-200000000000002−22−22−2000-2-2220000-2−22-222-22-22000−2−2220-22-220000000000000−22−22−22000
χ7422-2-2000022−22-2-22-22-200022−2−20-22-2200000000000002−2−22−22000-2-2220000-2−22-222-22-22000−2−22202-22-20000000000000−222−22−2000
χ7522-2-2000022−22-2-2-22-2200022−2−202i−2i−2i2i0000000000000−22i2−i2−i2i2000-2-2220000-2−22-2222-22-2000−2−2220−2i2i2i−2i00000000000002−2−i2i2i2−i2000
χ7622-2-2000022−22-2-2-22-2200022−2−20−2i2i2i−2i0000000000000−22−i2i2i2−i2000-2-2220000-2−22-2222-22-2000−2−22202i−2i−2i2i00000000000002−2i2−i2−i2i2000
χ7722-2-200002−222-2-22-22-2000−2−22202-22-20000000000000−22−22−22000-2-2220000-22−2-222-22-2200022−2−20-22-2200000000000002−22−22−2000
χ7822-2-200002−222-2-22-22-2000−2−2220-22-220000000000000−222−22−2000-2-2220000-22−2-222-22-2200022−2−202-22-200000000000002−2−22−22000
χ7922-2-200002−222-2-2-22-22000−2−22202i−2i−2i2i00000000000002−2−i2i2i2−i2000-2-2220000-22−2-2222-22-200022−2−20−2i2i2i−2i0000000000000−22i2−i2−i2i2000
χ8022-2-200002−222-2-2-22-22000−2−2220−2i2i2i−2i00000000000002−2i2−i2−i2i2000-2-2220000-22−2-2222-22-200022−2−202i−2i−2i2i0000000000000−22−i2i2i2−i2000
χ812-2-222-22-2200-2-2222-2-202-2000020000-2002-22-2000000000000000-222-2-22-22-20022-2-2-2220-220000-20000200-22-22000000000000000
χ822-2-222-22-2200-2-22-2-22202-20000-200002002-2-22000000000000000-222-2-22-22-20022-222-2-20-22000020000-200-222-2000000000000000
χ832-2-222-2-22200-2-2222-2-202-2000020000-200-22-22000000000000000-222-2-222-2-20022-2-2-2220-220000-200002002-22-2000000000000000
χ842-2-222-2-22200-2-22-2-22202-20000-20000200-222-2000000000000000-222-2-222-2-20022-222-2-20-22000020000-2002-2-22000000000000000
χ852-2-22-2200200-2-2222-2-20-220000-20000200000002i−2i02i−2i000000000-222-22-200-20022-2-2-22202-2000020000-20000000−2i2i0−2i2i000000000
χ862-2-22-2200200-2-2222-2-20-220000-2000020000000−2i2i0−2i2i000000000-222-22-200-20022-2-2-22202-2000020000-200000002i−2i02i−2i000000000
χ872-2-22-2200200-2-22-2-2220-22000020000-200000002-20-22000000000-222-22-200-20022-222-2-202-20000-2000020000000-2202-2000000000
χ882-2-22-2200200-2-22-2-2220-22000020000-20000000-2202-2000000000-222-22-200-20022-222-2-202-20000-20000200000002-20-22000000000
χ8944444444-144-1-1-100004-1-1-1-1-1-1000000-1-1-1-100000000000000000-4-4-4-4-4-4-4-41-4-41110000-4111111000000111100000000000000000
χ9044444444-1-4-4-1-1-10000-4-1-1111100000011-1-100000000000000000-4-4-4-4-4-4-4-41441110000411-1-1-1-1000000-1-11100000000000000000
χ91444444-4-4-144-1-1-10000-4-1-1-1-1-1-1000000111100000000000000000-4-4-4-4-4-4441-4-411100004111111000000-1-1-1-100000000000000000
χ92444444-4-4-1-4-4-1-1-100004-1-11111000000-1-11100000000000000000-4-4-4-4-4-4441441110000-411-1-1-1-100000011-1-100000000000000000
χ934-44-40000400-44-44-4-440000000000000000000000000000000000-44-440000-4004-44-444-40000000000000000000000000000000000
χ944-44-40000400-44-4-444-40000000000000000000000000000000000-44-440000-4004-444-4-440000000000000000000000000000000000
χ954-4-444-44-4-10011-100000-11i5−i5i5−i5000000i5−i5-1100000000000000000-444-4-44-44100-1-11000001-1−i5i5−i5i5000000−i5i51-100000000000000000
χ964-4-444-44-4-10011-100000-11−i5i5−i5i5000000−i5i5-1100000000000000000-444-4-44-44100-1-11000001-1i5−i5i5−i5000000i5−i51-100000000000000000
χ974-4-444-4-44-10011-100000-11i5−i5i5−i5000000−i5i51-100000000000000000-444-4-444-4100-1-11000001-1−i5i5−i5i5000000i5−i5-1100000000000000000
χ984-4-444-4-44-10011-100000-11−i5i5−i5i5000000i5−i51-100000000000000000-444-4-444-4100-1-11000001-1i5−i5i5−i5000000−i5i5-1100000000000000000
χ998888-8-800-200-2-2-200000220000000000000000000000000000000-8-8-8-8880020022200000-2-20000000000000000000000000000000
χ10088-8-80000-242−42-2220000000−2−222000000000000000000000000000-8-88800002−42422-2-2000000022−2−2000000000000000000000000000
χ10188-8-80000-2−4242-222000000022−2−2000000000000000000000000000-8-8880000242−422-2-20000000−2−222000000000000000000000000000
χ1028-88-80000-2002-220000000i10−i10−i10i10000000000000000000000000000-88-880000200-22-20000000−i10i10i10−i10000000000000000000000000000
χ1038-88-80000-2002-220000000−i10i10i10−i10000000000000000000000000000-88-880000200-22-20000000i10−i10−i10i10000000000000000000000000000
χ1048-8-88-8800-20022-2000002-20000000000000000000000000000000-888-88-800200-2-2200000-220000000000000000000000000000000

Here i is the imaginary unit (i² = −1).