Finite Group Databasebeta

← Group #13035616

Character table — Group #13035616

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444445555888888881010101016161616202020202020202020202020202020202040401111222244444555588888888101010101616161620202020202020202020202020202020204040
order12224444451010102222222020202020204444101010104444444448888888822222244444101010102222222020202020204444101010104444444448888888822
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11111111111111-1-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ61111111111111-1-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11111111111111-1-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ71111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ81111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ9111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-111-1-111-1-111-1-111-1-11-1111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-1-1-111-1-111-1-111-1-1111-1111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-1-1-111-1-111-1-111-1-1111-1
χ11111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-111-1-111-1-1-1-111-1-111-11111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-111-1-111-1-1-1-111-1-111-11
χ12111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-1-1-111-1-11111-1-111-1-1-11111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-1-1-111-1-11111-1-111-1-1-11
χ13111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11ii−i−i−i−iiiii−i−i−i−iii-11111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11ii−i−i−i−iiiii−i−i−i−iii-11
χ14111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11−i−iiiii−i−i−i−iiiii−i−i-11111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11−i−iiiii−i−i−i−iiiii−i−i-11
χ15111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111ii−i−i−i−iii−i−iiiii−i−i1-1111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111ii−i−i−i−iii−i−iiiii−i−i1-1
χ16111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111−i−iiiii−i−iii−i−i−i−iii1-1111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111−i−iiiii−i−iii−i−i−i−iii1-1
χ172222-2-222-22222222200-2-222-2-2-222-20000-20000000000000000002222-2-222-22222222200-2-222-2-2-222-20000-2000000000000000000
χ182222-2-222-22222-2-2-2-200-2-222-2-22-2-22000020000000000000000002222-2-222-22222-2-2-2-200-2-222-2-22-2-2200002000000000000000000
χ192222-2-2-2-222222222200-2-2-2-222-2-2-2-2000020000000000000000002222-2-2-2-222222222200-2-2-2-222-2-2-2-200002000000000000000000
χ202222-2-2-2-222222-2-2-2-200-2-2-2-22222220000-20000000000000000002222-2-2-2-222222-2-2-2-200-2-2-2-22222220000-2000000000000000000
χ2122-2-2002-2022-2-222-2-200002-20002-200000000000000i2−i2i2−i2i2−i2i2−i20022-2-2002-2022-2-222-2-200002-20002-200000000000000i2−i2i2−i2i2−i2i2−i200
χ2222-2-2002-2022-2-222-2-200002-20002-200000000000000−i2i2−i2i2−i2i2−i2i20022-2-2002-2022-2-222-2-200002-20002-200000000000000−i2i2−i2i2−i2i2−i2i200
χ2322-2-2002-2022-2-2-2-22200002-2000-22000000000000002−22−2−22−220022-2-2002-2022-2-2-2-22200002-2000-22000000000000002−22−2−22−2200
χ2422-2-2002-2022-2-2-2-22200002-2000-2200000000000000−22−222−22−20022-2-2002-2022-2-2-2-22200002-2000-2200000000000000−22−222−22−200
χ2522-2-200-22022-2-222-2-20000-22000-2200000000000000i2−i2−i2i2i2−i2−i2i20022-2-200-22022-2-222-2-20000-22000-2200000000000000i2−i2−i2i2i2−i2−i2i200
χ2622-2-200-22022-2-222-2-20000-22000-2200000000000000−i2i2i2−i2−i2i2i2−i20022-2-200-22022-2-222-2-20000-22000-2200000000000000−i2i2i2−i2−i2i2i2−i200
χ2722-2-200-22022-2-2-2-2220000-220002-2000000000000002−2−22−222−20022-2-200-22022-2-2-2-2220000-220002-2000000000000002−2−22−222−200
χ2822-2-200-22022-2-2-2-2220000-220002-200000000000000−222−22−2−220022-2-200-22022-2-2-2-2220000-220002-200000000000000−222−22−2−2200
χ292-22-22-20002-22-22-22-2002-20000200-200000002i−2i002i−2i00000000002-22-22-20002-22-22-22-2002-20000200-200000002i−2i002i−2i0000000000
χ302-22-22-20002-22-22-22-2002-20000200-20000000−2i2i00−2i2i00000000002-22-22-20002-22-22-22-2002-20000200-20000000−2i2i00−2i2i0000000000
χ312-22-22-20002-22-2-22-22002-20000-200200000002-200-2200000000002-22-22-20002-22-2-22-22002-20000-200200000002-200-220000000000
χ322-22-22-20002-22-2-22-22002-20000-20020000000-22002-200000000002-22-22-20002-22-2-22-22002-20000-20020000000-22002-20000000000
χ332-22-2-220002-22-22-22-200-220000-2002000002-2002-20000000000002-22-2-220002-22-22-22-200-220000-2002000002-2002-2000000000000
χ342-22-2-220002-22-22-22-200-220000-200200000-2200-220000000000002-22-2-220002-22-22-22-200-220000-200200000-2200-22000000000000
χ352-22-2-220002-22-2-22-2200-220000200-2000002i−2i00−2i2i0000000000002-22-2-220002-22-2-22-2200-220000200-2000002i−2i00−2i2i000000000000
χ362-22-2-220002-22-2-22-2200-220000200-200000−2i2i002i−2i0000000000002-22-2-220002-22-2-22-2200-220000200-200000−2i2i002i−2i000000000000
χ37444444444-1-1-1-1000044-1-1-1-1-1-10000-1-1-1-10000000000000000000444444444-1-1-1-1000044-1-1-1-1-1-10000-1-1-1-10000000000000000000
χ38444444444-1-1-1-10000-4-4-1-1-1-1-1-1000011110000000000000000000444444444-1-1-1-10000-4-4-1-1-1-1-1-1000011110000000000000000000
χ39444444-4-4-4-1-1-1-100004-4-1-111110000-1-1110000000000000000000444444-4-4-4-1-1-1-100004-4-1-111110000-1-1110000000000000000000
χ40444444-4-4-4-1-1-1-10000-44-1-11111000011-1-10000000000000000000444444-4-4-4-1-1-1-10000-44-1-11111000011-1-10000000000000000000
χ414444-4-444-4-1-1-1-100000011-1-11100005−55−500000000000000000004444-4-444-4-1-1-1-100000011-1-11100005−55−50000000000000000000
χ424444-4-444-4-1-1-1-100000011-1-1110000−55−5500000000000000000004444-4-444-4-1-1-1-100000011-1-1110000−55−550000000000000000000
χ434444-4-4-4-44-1-1-1-10000001111-1-100005−5−5500000000000000000004444-4-4-4-44-1-1-1-10000001111-1-100005−5−550000000000000000000
χ444444-4-4-4-44-1-1-1-10000001111-1-10000−555−500000000000000000004444-4-4-4-44-1-1-1-10000001111-1-10000−555−50000000000000000000
χ454-4-44000004-4-444-4-44000000000000000000000000000000000004-4-44000004-4-444-4-4400000000000000000000000000000000000
χ464-4-44000004-4-44-444-4000000000000000000000000000000000004-4-44000004-4-44-444-400000000000000000000000000000000000
χ4788-8-8008-80-2-22200000000-220000000000000000000000000000088-8-8008-80-2-22200000000-2200000000000000000000000000000
χ4888-8-800-880-2-222000000002-20000000000000000000000000000088-8-800-880-2-222000000002-200000000000000000000000000000
χ498-88-88-8000-22-22000000-2200000000000000000000000000000008-88-88-8000-22-22000000-220000000000000000000000000000000
χ508-88-8-88000-22-220000002-200000000000000000000000000000008-88-8-88000-22-220000002-20000000000000000000000000000000
χ518-8-8800000-222-2000000000025−250000000000000000000000000008-8-8800000-222-2000000000025−25000000000000000000000000000
χ528-8-8800000-222-20000000000−25250000000000000000000000000008-8-8800000-222-20000000000−2525000000000000000000000000000
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
χ541111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ5511111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111
χ5611111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-111
χ571111111111111-1-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11−i−i−i−iiiii−i−i−i−iiiii11
χ581111111111111-1-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11iiii−i−i−i−iiiii−i−i−i−i11
χ591111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1
χ601111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111iiii−i−i−i−i−i−i−i−iiiii-1-1
χ61111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-111-1-111-1-111-1-111-1-11-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-11111-111-1-1-1111-1-111-1-111-1-111-1-111-11
χ62111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-1-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-11111-111-1-1-111111-1-111-1-111-1-111-1-1-11
χ63111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-111-1-111-1-1-1-111-1-111-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-11111-111-111-1-11-1-111-1-11111-1-111-1-11-1
χ64111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-1-1-111-1-11111-1-111-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-11111-111-111-1-1111-1-111-1-1-1-111-1-1111-1
χ65111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11ii−i−i−i−iiiii−i−i−i−iii-11-1-1-1-1-1-1111-1-1-1-11111-11-1-111111-1-11-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1
χ66111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11−i−iiiii−i−i−i−iiiii−i−i-11-1-1-1-1-1-1111-1-1-1-11111-11-1-111111-1-11-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1
χ67111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111ii−i−i−i−iii−i−iiiii−i−i1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-111111-1-1111-1-1-1−i−iiiii−i−iii−i−i−i−iii-11
χ68111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111−i−iiiii−i−iii−i−i−i−iii1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-111111-1-1111-1-1-1ii−i−i−i−iii−i−iiiii−i−i-11
χ692222-2-222-22222222200-2-222-2-2-222-20000-2000000000000000000-2-2-2-222-2-22-2-2-2-2-2-2-2-20022-2-2222-2-2200002000000000000000000
χ702222-2-222-22222-2-2-2-200-2-222-2-22-2-2200002000000000000000000-2-2-2-222-2-22-2-2-2-222220022-2-222-222-20000-2000000000000000000
χ712222-2-2-2-222222222200-2-2-2-222-2-2-2-200002000000000000000000-2-2-2-22222-2-2-2-2-2-2-2-2-2002222-2-222220000-2000000000000000000
χ722222-2-2-2-222222-2-2-2-200-2-2-2-22222220000-2000000000000000000-2-2-2-22222-2-2-2-2-22222002222-2-2-2-2-2-200002000000000000000000
χ7322-2-2002-2022-2-222-2-200002-20002-200000000000000i2−i2i2−i2i2−i2i2−i200-2-22200-220-2-222-2-2220000-22000-2200000000000000−i2i2−i2i2−i2i2−i2i200
χ7422-2-2002-2022-2-222-2-200002-20002-200000000000000−i2i2−i2i2−i2i2−i2i200-2-22200-220-2-222-2-2220000-22000-2200000000000000i2−i2i2−i2i2−i2i2−i200
χ7522-2-2002-2022-2-2-2-22200002-2000-22000000000000002−22−2−22−2200-2-22200-220-2-22222-2-20000-220002-200000000000000−22−222−22−200
χ7622-2-2002-2022-2-2-2-22200002-2000-2200000000000000−22−222−22−200-2-22200-220-2-22222-2-20000-220002-2000000000000002−22−2−22−2200
χ7722-2-200-22022-2-222-2-20000-22000-2200000000000000i2−i2−i2i2i2−i2−i2i200-2-222002-20-2-222-2-22200002-20002-200000000000000−i2i2i2−i2−i2i2i2−i200
χ7822-2-200-22022-2-222-2-20000-22000-2200000000000000−i2i2i2−i2−i2i2i2−i200-2-222002-20-2-222-2-22200002-20002-200000000000000i2−i2−i2i2i2−i2−i2i200
χ7922-2-200-22022-2-2-2-2220000-220002-2000000000000002−2−22−222−200-2-222002-20-2-22222-2-200002-2000-2200000000000000−222−22−2−2200
χ8022-2-200-22022-2-2-2-2220000-220002-200000000000000−222−22−2−2200-2-222002-20-2-22222-2-200002-2000-22000000000000002−2−22−222−200
χ812-22-22-20002-22-22-22-2002-20000200-200000002i−2i002i−2i0000000000-22-22-22000-22-22-22-2200-220000-20020000000−2i2i00−2i2i0000000000
χ822-22-22-20002-22-22-22-2002-20000200-20000000−2i2i00−2i2i0000000000-22-22-22000-22-22-22-2200-220000-200200000002i−2i002i−2i0000000000
χ832-22-22-20002-22-2-22-22002-20000-200200000002-200-220000000000-22-22-22000-22-222-22-200-220000200-20000000-22002-20000000000
χ842-22-22-20002-22-2-22-22002-20000-20020000000-22002-20000000000-22-22-22000-22-222-22-200-220000200-200000002-200-220000000000
χ852-22-2-220002-22-22-22-200-220000-2002000002-2002-2000000000000-22-222-2000-22-22-22-22002-20000200-200000-2200-22000000000000
χ862-22-2-220002-22-22-22-200-220000-200200000-2200-22000000000000-22-222-2000-22-22-22-22002-20000200-2000002-2002-2000000000000
χ872-22-2-220002-22-2-22-2200-220000200-2000002i−2i00−2i2i000000000000-22-222-2000-22-222-22-2002-20000-200200000−2i2i002i−2i000000000000
χ882-22-2-220002-22-2-22-2200-220000200-200000−2i2i002i−2i000000000000-22-222-2000-22-222-22-2002-20000-2002000002i−2i00−2i2i000000000000
χ89444444444-1-1-1-1000044-1-1-1-1-1-10000-1-1-1-10000000000000000000-4-4-4-4-4-4-4-4-411110000-4-4111111000011110000000000000000000
χ90444444444-1-1-1-10000-4-4-1-1-1-1-1-1000011110000000000000000000-4-4-4-4-4-4-4-4-411110000441111110000-1-1-1-10000000000000000000
χ91444444-4-4-4-1-1-1-100004-4-1-111110000-1-1110000000000000000000-4-4-4-4-4-444411110000-4411-1-1-1-1000011-1-10000000000000000000
χ92444444-4-4-4-1-1-1-10000-44-1-11111000011-1-10000000000000000000-4-4-4-4-4-4444111100004-411-1-1-1-10000-1-1110000000000000000000
χ934444-4-444-4-1-1-1-100000011-1-11100005−55−50000000000000000000-4-4-4-444-4-441111000000-1-111-1-10000−55−550000000000000000000
χ944444-4-444-4-1-1-1-100000011-1-1110000−55−550000000000000000000-4-4-4-444-4-441111000000-1-111-1-100005−55−50000000000000000000
χ954444-4-4-4-44-1-1-1-10000001111-1-100005−5−550000000000000000000-4-4-4-44444-41111000000-1-1-1-1110000−555−50000000000000000000
χ964444-4-4-4-44-1-1-1-10000001111-1-10000−555−50000000000000000000-4-4-4-44444-41111000000-1-1-1-11100005−5−550000000000000000000
χ974-4-44000004-4-444-4-4400000000000000000000000000000000000-444-400000-444-4-444-400000000000000000000000000000000000
χ984-4-44000004-4-44-444-400000000000000000000000000000000000-444-400000-444-44-4-4400000000000000000000000000000000000
χ9988-8-8008-80-2-22200000000-2200000000000000000000000000000-8-88800-88022-2-2000000002-200000000000000000000000000000
χ10088-8-800-880-2-222000000002-200000000000000000000000000000-8-888008-8022-2-200000000-2200000000000000000000000000000
χ1018-88-88-8000-22-22000000-220000000000000000000000000000000-88-88-880002-22-20000002-20000000000000000000000000000000
χ1028-88-8-88000-22-220000002-20000000000000000000000000000000-88-888-80002-22-2000000-220000000000000000000000000000000
χ1038-8-8800000-222-2000000000025−25000000000000000000000000000-888-8000002-2-220000000000−2525000000000000000000000000000
χ1048-8-8800000-222-20000000000−2525000000000000000000000000000-888-8000002-2-22000000000025−25000000000000000000000000000

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