Finite Group Databasebeta

← Group #13034795

Character table — Group #13034795

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112244444444555588888881010101010101616161620202020202020202020202020204040401111224444444455558888888101010101010161616162020202020202020202020202020404040
order12224422588101010222242020404040404444441010202022444444888888444222244221088101010222242020404040404444441010202022444444888888444
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
χ5111111111-1-11111111-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ6111111111-1-11111111-111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-111111111111-1-11111111-111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-111
χ7111111111-1-1111-1-1-1-1-111-1-1-1-1-1ii−i−i-111-1-1-1-1iii−i−i−i11−i−iii1−ii111111111-1-1111-1-1-1-1-111-1-1-1-1-1ii−i−i-111-1-1-1-1iii−i−i−i11−i−iii1−ii
χ8111111111-1-1111-1-1-1-1-111-1-1-1-1-1−i−iii-111-1-1-1-1−i−i−iiii11ii−i−i1i−i111111111-1-1111-1-1-1-1-111-1-1-1-1-1−i−iii-111-1-1-1-1−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
χ13111111-1-11-1-11111111111-1-1-1-1111111-1-111-1-11-1-11-1-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1111111-1-111-1-11-1-11-1-1-1-1-1-1-1-1111
χ14111111-1-11-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-111-111-1-111111-1-1111111-1-11-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-111-111-1-111111-1-1
χ15111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1ii−i−i-1-1-11111i−i−i−iii11−i−iii-1i−i111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1ii−i−i-1-1-11111i−i−i−iii11−i−iii-1i−i
χ16111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1−i−iii-1-1-11111−iiii−i−i11ii−i−i-1−ii111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1−i−iii-1-1-11111−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
χ2122-2-200002i2−i22-2-22-22-2000i2i2−i2−i202-22-20000000000000i2−i2i2−i2i2−i200022-2-200002i2−i22-2-22-22-2000i2i2−i2−i202-22-20000000000000i2−i2i2−i2i2−i2000
χ2222-2-200002i2−i22-2-22-22-2000i2i2−i2−i20-22-220000000000000i2−i2−i2i2−i2i200022-2-200002i2−i22-2-22-22-2000i2i2−i2−i20-22-220000000000000i2−i2−i2i2−i2i2000
χ2322-2-200002i2−i22-2-2-22-22000i2i2−i2−i202i−2i−2i2i0000000000000−i2i2−222−200022-2-200002i2−i22-2-2-22-22000i2i2−i2−i202i−2i−2i2i0000000000000−i2i2−222−2000
χ2422-2-200002i2−i22-2-2-22-22000i2i2−i2−i20−2i2i2i−2i0000000000000−i2i22−2−2200022-2-200002i2−i22-2-2-22-22000i2i2−i2−i20−2i2i2i−2i0000000000000−i2i22−2−22000
χ2522-2-200002−i2i22-2-22-22-2000−i2−i2i2i202-22-20000000000000−i2i2−i2i2−i2i200022-2-200002−i2i22-2-22-22-2000−i2−i2i2i202-22-20000000000000−i2i2−i2i2−i2i2000
χ2622-2-200002−i2i22-2-22-22-2000−i2−i2i2i20-22-220000000000000−i2i2i2−i2i2−i200022-2-200002−i2i22-2-22-22-2000−i2−i2i2i20-22-220000000000000−i2i2i2−i2i2−i2000
χ2722-2-200002−i2i22-2-2-22-22000−i2−i2i2i202i−2i−2i2i0000000000000i2−i22−2−2200022-2-200002−i2i22-2-2-22-22000−i2−i2i2i202i−2i−2i2i0000000000000i2−i22−2−22000
χ2822-2-200002−i2i22-2-2-22-22000−i2−i2i2i20−2i2i2i−2i0000000000000i2−i2−222−200022-2-200002−i2i22-2-2-22-22000−i2−i2i2i20−2i2i2i−2i0000000000000i2−i2−222−2000
χ292-22-22-22-2200-22-222-2-202-2000020000-22-2002-20000000000000002-22-22-22-2200-22-222-2-202-2000020000-22-2002-2000000000000000
χ302-22-22-22-2200-22-2-2-22202-20000-2000022-200-220000000000000002-22-22-22-2200-22-2-2-22202-20000-2000022-200-22000000000000000
χ312-22-22-2-22200-22-222-2-202-2000020000-2-2200-220000000000000002-22-22-2-22200-22-222-2-202-2000020000-2-2200-22000000000000000
χ322-22-22-2-22200-22-2-2-22202-20000-200002-22002-20000000000000002-22-22-2-22200-22-2-2-22202-20000-200002-22002-2000000000000000
χ332-22-2-2200200-22-222-2-20-220000-20000200000002i−2i02i−2i0000000002-22-2-2200200-22-222-2-20-220000-20000200000002i−2i02i−2i000000000
χ342-22-2-2200200-22-222-2-20-220000-2000020000000−2i2i0−2i2i0000000002-22-2-2200200-22-222-2-20-220000-2000020000000−2i2i0−2i2i000000000
χ352-22-2-2200200-22-2-2-2220-22000020000-200000002-20-220000000002-22-2-2200200-22-2-2-2220-22000020000-200000002-20-22000000000
χ362-22-2-2200200-22-2-2-2220-22000020000-20000000-2202-20000000002-22-2-2200200-22-2-2-2220-22000020000-20000000-2202-2000000000
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
χ3844444444-1-4-4-1-1-10000-4-1-11111000000-1-1110000000000000000044444444-1-4-4-1-1-10000-4-1-11111000000-1-11100000000000000000
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
χ40444444-4-4-1-4-4-1-1-100004-1-1111100000011-1-100000000000000000444444-4-4-1-4-4-1-1-100004-1-1111100000011-1-100000000000000000
χ414-44-44-44-4-1001-1100000-11i5−i5i5−i5000000-11i5−i5000000000000000004-44-44-44-4-1001-1100000-11i5−i5i5−i5000000-11i5−i500000000000000000
χ424-44-44-44-4-1001-1100000-11−i5i5−i5i5000000-11−i5i5000000000000000004-44-44-44-4-1001-1100000-11−i5i5−i5i5000000-11−i5i500000000000000000
χ434-44-44-4-44-1001-1100000-11i5−i5i5−i50000001-1−i5i5000000000000000004-44-44-4-44-1001-1100000-11i5−i5i5−i50000001-1−i5i500000000000000000
χ444-44-44-4-44-1001-1100000-11−i5i5−i5i50000001-1i5−i5000000000000000004-44-44-4-44-1001-1100000-11−i5i5−i5i50000001-1i5−i500000000000000000
χ454-4-440000400-4-444-4-4400000000000000000000000000000000004-4-440000400-4-444-4-440000000000000000000000000000000000
χ464-4-440000400-4-44-444-400000000000000000000000000000000004-4-440000400-4-44-444-40000000000000000000000000000000000
χ478888-8-800-200-2-2-2000002200000000000000000000000000000008888-8-800-200-2-2-200000220000000000000000000000000000000
χ4888-8-80000-24i2−4i2-2220000000−i2−i2i2i200000000000000000000000000088-8-80000-24i2−4i2-2220000000−i2−i2i2i2000000000000000000000000000
χ4988-8-80000-2−4i24i2-2220000000i2i2−i2−i200000000000000000000000000088-8-80000-2−4i24i2-2220000000i2i2−i2−i2000000000000000000000000000
χ508-88-8-8800-2002-22000002-200000000000000000000000000000008-88-8-8800-2002-22000002-20000000000000000000000000000000
χ518-8-880000-20022-2000000010−10−10100000000000000000000000000008-8-880000-20022-2000000010−10−1010000000000000000000000000000
χ528-8-880000-20022-20000000−101010−100000000000000000000000000008-8-880000-20022-20000000−101010−10000000000000000000000000000
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
χ57111111111-1-11111111-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111
χ58111111111-1-11111111-111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-11111-1-1-111-1-111111111-1-1-1-11-1-1
χ59111111111-1-1111-1-1-1-1-111-1-1-1-1-1ii−i−i-111-1-1-1-1iii−i−i−i11−i−iii1−ii-1-1-1-1-1-1-1-1-111-1-1-111111-1-111111−i−iii1-1-11111−i−i−iiii-1-1ii−i−i-1i−i
χ60111111111-1-1111-1-1-1-1-111-1-1-1-1-1−i−iii-111-1-1-1-1−i−i−iiii11ii−i−i1i−i-1-1-1-1-1-1-1-1-111-1-1-111111-1-111111ii−i−i1-1-11111iii−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
χ65111111-1-11-1-11111111111-1-1-1-1111111-1-111-1-11-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-111111111-1-1-1
χ66111111-1-11-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-111-111-1-111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-11111-111-1-1111-1-11-1-111-1-1-1-1-111
χ67111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1ii−i−i-1-1-11111i−i−i−iii11−i−iii-1i−i-1-1-1-1-1-111-111-1-1-11111-1-1-111111−i−iii111-1-1-1-1−iiii−i−i-1-1ii−i−i1−ii
χ68111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1−i−iii-1-1-11111−iiii−i−i11ii−i−i-1−ii-1-1-1-1-1-111-111-1-1-11111-1-1-111111ii−i−i111-1-1-1-1i−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
χ7322-2-200002i2−i22-2-22-22-2000i2i2−i2−i202-22-20000000000000i2−i2i2−i2i2−i2000-2-2220000-2−i2i2-222-22-22000−i2−i2i2i20-22-220000000000000−i2i2−i2i2−i2i2000
χ7422-2-200002i2−i22-2-22-22-2000i2i2−i2−i20-22-220000000000000i2−i2−i2i2−i2i2000-2-2220000-2−i2i2-222-22-22000−i2−i2i2i202-22-20000000000000−i2i2i2−i2i2−i2000
χ7522-2-200002i2−i22-2-2-22-22000i2i2−i2−i202i−2i−2i2i0000000000000−i2i2−222−2000-2-2220000-2−i2i2-2222-22-2000−i2−i2i2i20−2i2i2i−2i0000000000000i2−i22−2−22000
χ7622-2-200002i2−i22-2-2-22-22000i2i2−i2−i20−2i2i2i−2i0000000000000−i2i22−2−22000-2-2220000-2−i2i2-2222-22-2000−i2−i2i2i202i−2i−2i2i0000000000000i2−i2−222−2000
χ7722-2-200002−i2i22-2-22-22-2000−i2−i2i2i202-22-20000000000000−i2i2−i2i2−i2i2000-2-2220000-2i2−i2-222-22-22000i2i2−i2−i20-22-220000000000000i2−i2i2−i2i2−i2000
χ7822-2-200002−i2i22-2-22-22-2000−i2−i2i2i20-22-220000000000000−i2i2i2−i2i2−i2000-2-2220000-2i2−i2-222-22-22000i2i2−i2−i202-22-20000000000000i2−i2−i2i2−i2i2000
χ7922-2-200002−i2i22-2-2-22-22000−i2−i2i2i202i−2i−2i2i0000000000000i2−i22−2−22000-2-2220000-2i2−i2-2222-22-2000i2i2−i2−i20−2i2i2i−2i0000000000000−i2i2−222−2000
χ8022-2-200002−i2i22-2-2-22-22000−i2−i2i2i20−2i2i2i−2i0000000000000i2−i2−222−2000-2-2220000-2i2−i2-2222-22-2000i2i2−i2−i202i−2i−2i2i0000000000000−i2i22−2−22000
χ812-22-22-22-2200-22-222-2-202-2000020000-22-2002-2000000000000000-22-22-22-22-2002-22-2-2220-220000-200002-2200-22000000000000000
χ822-22-22-22-2200-22-2-2-22202-20000-2000022-200-22000000000000000-22-22-22-22-2002-2222-2-20-22000020000-2-22002-2000000000000000
χ832-22-22-2-22200-22-222-2-202-2000020000-2-2200-22000000000000000-22-22-222-2-2002-22-2-2220-220000-2000022-2002-2000000000000000
χ842-22-22-2-22200-22-2-2-22202-20000-200002-22002-2000000000000000-22-22-222-2-2002-2222-2-20-22000020000-22-200-22000000000000000
χ852-22-2-2200200-22-222-2-20-220000-20000200000002i−2i02i−2i000000000-22-222-200-2002-22-2-22202-2000020000-20000000−2i2i0−2i2i000000000
χ862-22-2-2200200-22-222-2-20-220000-2000020000000−2i2i0−2i2i000000000-22-222-200-2002-22-2-22202-2000020000-200000002i−2i02i−2i000000000
χ872-22-2-2200200-22-2-2-2220-22000020000-200000002-20-22000000000-22-222-200-2002-2222-2-202-20000-2000020000000-2202-2000000000
χ882-22-2-2200200-22-2-2-2220-22000020000-20000000-2202-2000000000-22-222-200-2002-2222-2-202-20000-20000200000002-20-22000000000
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
χ9044444444-1-4-4-1-1-10000-4-1-11111000000-1-11100000000000000000-4-4-4-4-4-4-4-41441110000411-1-1-1-100000011-1-100000000000000000
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
χ92444444-4-4-1-4-4-1-1-100004-1-1111100000011-1-100000000000000000-4-4-4-4-4-4441441110000-411-1-1-1-1000000-1-11100000000000000000
χ934-44-44-44-4-1001-1100000-11i5−i5i5−i5000000-11i5−i500000000000000000-44-44-44-44100-11-1000001-1−i5i5−i5i50000001-1−i5i500000000000000000
χ944-44-44-44-4-1001-1100000-11−i5i5−i5i5000000-11−i5i500000000000000000-44-44-44-44100-11-1000001-1i5−i5i5−i50000001-1i5−i500000000000000000
χ954-44-44-4-44-1001-1100000-11i5−i5i5−i50000001-1−i5i500000000000000000-44-44-444-4100-11-1000001-1−i5i5−i5i5000000-11i5−i500000000000000000
χ964-44-44-4-44-1001-1100000-11−i5i5−i5i50000001-1i5−i500000000000000000-44-44-444-4100-11-1000001-1i5−i5i5−i5000000-11−i5i500000000000000000
χ974-4-440000400-4-444-4-440000000000000000000000000000000000-444-40000-40044-4-444-40000000000000000000000000000000000
χ984-4-440000400-4-44-444-40000000000000000000000000000000000-444-40000-40044-44-4-440000000000000000000000000000000000
χ998888-8-800-200-2-2-200000220000000000000000000000000000000-8-8-8-8880020022200000-2-20000000000000000000000000000000
χ10088-8-80000-24i2−4i2-2220000000−i2−i2i2i2000000000000000000000000000-8-88800002−4i24i22-2-20000000i2i2−i2−i2000000000000000000000000000
χ10188-8-80000-2−4i24i2-2220000000i2i2−i2−i2000000000000000000000000000-8-888000024i2−4i22-2-20000000−i2−i2i2i2000000000000000000000000000
χ1028-88-8-8800-2002-22000002-20000000000000000000000000000000-88-888-800200-22-200000-220000000000000000000000000000000
χ1038-8-880000-20022-2000000010−10−1010000000000000000000000000000-888-80000200-2-220000000−101010−10000000000000000000000000000
χ1048-8-880000-20022-20000000−101010−10000000000000000000000000000-888-80000200-2-22000000010−10−1010000000000000000000000000000

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