Finite Group Databasebeta

← Group #13041039

Character table — Group #13041039

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111222244444444444555588888881010101010101010101010101010101010101010161616161616161616202020202020202020202020202020202020203232404040404040404040
order12224444244588881010102222224202020204444444444448888888810101020204040404024444444444888888881020224444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-1-1ii−i−iii−i−i-1iiii−i−i−i−i111111111-1-1-1iii−i−i−ii−i-1-1-1-1ii−i−i11-1-1-1i−iii−i−i
χ41111111111111111111-1-1-1-11111111-1-1-1−i−iii−i−iii-1−i−i−i−iiiii111111111-1-1-1−i−i−iiii−ii-1-1-1-1−i−iii11-1-1-1−ii−i−iii
χ5111111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-11-1
χ6111111111111-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-111-111-1-1-1-1-1-11111-1-11-1-1-1-1-11-11
χ7111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1ii−i−iii−i−i-1−i−i−i−iiiii11111-1-1-1-1-1-1-1i−i−i−iiii−i1111−i−iii-1-1-111i−ii−i−ii
χ8111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1−i−iii−i−iii-1iiii−i−i−i−i11111-1-1-1-1-1-1-1−iiii−i−i−ii1111ii−i−i-1-1-111−ii−iii−i
χ9111111111-1-1111111111111-1-1-11111111111111111111111111-1-1-1-111111-1-11-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ10111111111-1-1111111111111-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1111111
χ11111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1ii−i−iii−i−i-1iiii−i−i−i−i1-1-1-1-11111-111i−i−i−iiii−i-1-1-1-1ii−i−i-1-1111−ii−i−iii
χ12111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1−i−iii−i−iii-1−i−i−i−iiiii1-1-1-1-11111-111−iiii−i−i−ii-1-1-1-1−i−iii-1-1111i−iii−i−i
χ13111111111-1-11-1-1-1-11111111-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-111-1-1-11-11
χ14111111111-1-11-1-1-1-11111111-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111-11-1
χ15111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1ii−i−iii−i−i-1−i−i−i−iiiii1-1-1-1-1-1-1-1-1-111iii−i−i−ii−i1111−i−iii111-1-1−ii−iii−i
χ16111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1−i−iii−i−iii-1iiii−i−i−i−i1-1-1-1-1-1-1-1-1-111−i−i−iiii−ii1111ii−i−i111-1-1i−ii−i−ii
χ171111-1-111-111111-1-11111111-11-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-11-1-1-1-111-1-111111-1-11-111-11-11
χ181111-1-111-111111-1-11111111-11-1-1-1111-1-1-1-1-1-11111111111111-1-1-11111-1-1-111-111-1111111-1-1-1-1-1-11-1-11-1-1-11-11-1
χ191111-1-111-111111-1-1111-1-1-1-1-11-1-1-111-111ii−i−i−i−iii-1−i−i−i−iiiii-1-1-11111-1-11-1-1i−i−i−iii−ii-1-111ii−i−i1-11-11i−i−iii−i
χ201111-1-111-111111-1-1111-1-1-1-1-11-1-1-111-111−i−iiiii−i−i-1iiii−i−i−i−i-1-1-11111-1-11-1-1−iiii−i−ii−i-1-111−i−iii1-11-11−iii−i−ii
χ211111-1-111-1111-1-1111111111-1-11-1-1111-1-11111-1-1-1-1111111111-1-1-111-1-111-111111111-1-1-1-111-1-1-1-1-11-1-1111-1-1-1-1
χ221111-1-111-1111-1-1111111111-1-11-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-111-1-1111111-11-1-11-1-11111
χ231111-1-111-1111-1-111111-1-1-1-1-1-11-1-111-111ii−i−i−i−iii-1iiii−i−i−i−i-1-1-111-1-1111-1-1iii−i−i−i−ii11-1-1−i−iii-1111-1i−i−i−iii
χ241111-1-111-1111-1-111111-1-1-1-1-1-11-1-111-111−i−iiiii−i−i-1−i−i−i−iiiii-1-1-111-1-1111-1-1−i−i−iiiii−i11-1-1ii−i−i-1111-1−iiii−i−i
χ251111-1-111-1-1-1111-1-111111111-11-1-1111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111111-1-111-1-11111-111-11-1-11-11-1
χ261111-1-111-1-1-1111-1-111111111-11-1-1111-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1111-11-11
χ271111-1-111-1-1-1111-1-1111-1-1-1-11-11-1-111-111ii−i−i−i−iii-1−i−i−i−iiiii-111-1-111-1-1111iii−i−i−i−ii-1-111ii−i−i-11-11-1−iii−i−ii
χ281111-1-111-1-1-1111-1-1111-1-1-1-11-11-1-111-111−i−iiiii−i−i-1iiii−i−i−i−i-111-1-111-1-1111−i−i−iiiii−i-1-111−i−iii-11-11-1i−i−iii−i
χ291111-1-111-1-1-11-1-111111111111-1-1-1111-1-11111-1-1-1-1111111111-111-1-1-1-111-1-1-11-1-11-1-1-1-1-1-111-1-1-1-11-111-1-1-11111
χ301111-1-111-1-1-11-1-111111111111-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-11111-1-11111111-111-111-1-1-1-1
χ311111-1-111-1-1-11-1-111111-1-1-1-111-1-1-111-111ii−i−i−i−iii-1iiii−i−i−i−i-111-1-1-1-111111i−i−i−iii−ii11-1-1−i−iii1-1-1-11−iiii−i−i
χ321111-1-111-1-1-11-1-111111-1-1-1-111-1-1-111-111−i−iiiii−i−i-1−i−i−i−iiiii-111-1-1-1-111111−iiii−i−ii−i11-1-1ii−i−i1-1-1-11i−i−i−iii
χ33222222-2-2-20020000222222200022-2-2-22222222222-200000000-200000000-200-200-200-2-20000000000000000000
χ34222222-2-2-20020000222222200022-2-2-222-2-2-2-2-2-2-2-2-200000000-200000000-200200200220000000000000000000
χ35222222-2-2-20020000222-2-2-2-200022-2-22-2-22i2i−2i−2i2i2i−2i−2i200000000-200000000200−2i002i00−2i2i0000000000000000000
χ36222222-2-2-20020000222-2-2-2-200022-2-22-2-2−2i−2i2i2i−2i−2i2i2i200000000-2000000002002i00−2i002i−2i0000000000000000000
χ372222-2-2-2-2200200002222222000-2-2-2-2-2-2-22222-2-2-2-2-200000000200000000200-200-200220000000000000000000
χ382222-2-2-2-2200200002222222000-2-2-2-2-2-2-2-2-2-2-22222-200000000200000000200200200-2-20000000000000000000
χ392222-2-2-2-220020000222-2-2-2-2000-2-2-2-22222i2i−2i−2i−2i−2i2i2i200000000200000000-200−2i002i002i−2i0000000000000000000
χ402222-2-2-2-220020000222-2-2-2-2000-2-2-2-2222−2i−2i2i2i2i2i−2i−2i200000000200000000-2002i00−2i00−2i2i0000000000000000000
χ4122-2-22i−2i000002i2−i22−22-2-22-2-220002i−2i0002i−2i2-22-22i−2i2i−2i022−2−222−2−200000i2−i22−200000000000i2−i22−2i2−i2i2−i200000000000
χ4222-2-22i−2i000002i2−i22−22-2-22-2-220002i−2i0002i−2i-22-22−2i2i−2i2i0−2−222−2−22200000i2−i22−200000000000i2−i22−2−i2i2−i2i200000000000
χ4322-2-22i−2i000002i2−i22−22-2-2-222-20002i−2i000−2i2i2i−2i−2i2i-222-20i2i2−i2−i2−i2−i2i2i200000i2−i22−200000000000−i2i2−22−222−200000000000
χ4422-2-22i−2i000002i2−i22−22-2-2-222-20002i−2i000−2i2i−2i2i2i−2i2-2-220−i2−i2i2i2i2i2−i2−i200000i2−i22−200000000000−i2i2−222−2−2200000000000
χ4522-2-22i−2i000002−i2i2−222-2-22-2-220002i−2i0002i−2i2-22-22i−2i2i−2i0−2−222−2−22200000−i2i2−2200000000000−i2i2−22−i2i2−i2i200000000000
χ4622-2-22i−2i000002−i2i2−222-2-22-2-220002i−2i0002i−2i-22-22−2i2i−2i2i022−2−222−2−200000−i2i2−2200000000000−i2i2−22i2−i2i2−i200000000000
χ4722-2-22i−2i000002−i2i2−222-2-2-222-20002i−2i000−2i2i2i−2i−2i2i-222-20−i2−i2i2i2i2i2−i2−i200000−i2i2−2200000000000i2−i22−22−2−2200000000000
χ4822-2-22i−2i000002−i2i2−222-2-2-222-20002i−2i000−2i2i−2i2i2i−2i2-2-220i2i2−i2−i2−i2−i2i2i200000−i2i2−2200000000000i2−i22−2−222−200000000000
χ4922-2-2−2i2i000002i2−i2−222-2-22-2-22000−2i2i000−2i2i2-22-2−2i2i−2i2i0−2−222−2−22200000i2−i2−2200000000000i2−i2−22i2−i2i2−i200000000000
χ5022-2-2−2i2i000002i2−i2−222-2-22-2-22000−2i2i000−2i2i-22-222i−2i2i−2i022−2−222−2−200000i2−i2−2200000000000i2−i2−22−i2i2−i2i200000000000
χ5122-2-2−2i2i000002i2−i2−222-2-2-222-2000−2i2i0002i−2i2i−2i−2i2i2-2-220−i2−i2i2i2i2i2−i2−i200000i2−i2−2200000000000−i2i22−2−222−200000000000
χ5222-2-2−2i2i000002i2−i2−222-2-2-222-2000−2i2i0002i−2i−2i2i2i−2i-222-20i2i2−i2−i2−i2−i2i2i200000i2−i2−2200000000000−i2i22−22−2−2200000000000
χ5322-2-2−2i2i000002−i2i22−22-2-22-2-22000−2i2i000−2i2i2-22-2−2i2i−2i2i022−2−222−2−200000−i2i22−200000000000−i2i22−2−i2i2−i2i200000000000
χ5422-2-2−2i2i000002−i2i22−22-2-22-2-22000−2i2i000−2i2i-22-222i−2i2i−2i0−2−222−2−22200000−i2i22−200000000000−i2i22−2i2−i2i2−i200000000000
χ5522-2-2−2i2i000002−i2i22−22-2-2-222-2000−2i2i0002i−2i2i−2i−2i2i2-2-220i2i2−i2−i2−i2−i2i2i200000−i2i22−200000000000i2−i2−222−2−2200000000000
χ5622-2-2−2i2i000002−i2i22−22-2-2-222-2000−2i2i0002i−2i−2i2i2i−2i-222-20−i2−i2i2i2i2i2−i2−i200000−i2i22−200000000000i2−i2−22−222−200000000000
χ572-2-22002-202-220000-2-2222-2-2000002-220000000000-22i−2i2i−2i2i−2i2i−2i0002-2000002-202i−2i02i−2i000000000000000000000
χ582-2-22002-202-220000-2-2222-2-2000002-220000000000-2−2i2i−2i2i−2i2i−2i2i0002-2000002-20−2i2i0−2i2i000000000000000000000
χ592-2-22002-202-220000-2-22-2-222000002-2-2000000000022-22-2-22-220002-200000-2202-20-22000000000000000000000
χ602-2-22002-202-220000-2-22-2-222000002-2-200000000002-22-222-22-20002-200000-220-2202-2000000000000000000000
χ612-2-22002-20-2220000-2-2222-2-2000002-220000000000-22i−2i2i−2i2i−2i2i−2i000-2200000-220−2i2i0−2i2i000000000000000000000
χ622-2-22002-20-2220000-2-2222-2-2000002-220000000000-2−2i2i−2i2i−2i2i−2i2i000-2200000-2202i−2i02i−2i000000000000000000000
χ632-2-22002-20-2220000-2-22-2-222000002-2-2000000000022-22-2-22-22000-22000002-20-2202-2000000000000000000000
χ642-2-22002-20-2220000-2-22-2-222000002-2-200000000002-22-222-22-2000-22000002-202-20-22000000000000000000000
χ6544444444444-14444-1-1-10000444-1-1-1-100000000000000000000-1-1-1-1-1-1-1-1-10000000000000000000-1-1000000000
χ6644444444444-1-4-4-4-4-1-1-100004-4-4-1-1-1-100000000000000000000-1-1-1-1-11111000000000000000000011000000000
χ67444444444-4-4-14444-1-1-10000-4-4-4-1-1-1-100000000000000000000-11111-1-1-1-1000000000000000000011000000000
χ68444444444-4-4-1-4-4-4-4-1-1-10000-444-1-1-1-100000000000000000000-1111111110000000000000000000-1-1000000000
χ694444-4-444-444-144-4-4-1-1-10000-44-411-1-100000000000000000000111-1-1-1-1110000000000000000000-11000000000
χ704444-4-444-444-1-4-444-1-1-10000-4-4411-1-100000000000000000000111-1-111-1-100000000000000000001-1000000000
χ714444-4-444-4-4-4-144-4-4-1-1-100004-4411-1-1000000000000000000001-1-111-1-11100000000000000000001-1000000000
χ724444-4-444-4-4-4-1-4-444-1-1-1000044-411-1-1000000000000000000001-1-11111-1-10000000000000000000-11000000000
χ734-44-4000000040000-44-44-44-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ744-44-4000000040000-44-44-44-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ754-44-4000000040000-44-4-44-44000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000
χ764-44-4000000040000-44-4-44-440000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000
χ774-4-4400-4400040000-4-4444-4-400000-44-40000000000400000000000000000000000000000000000000000000000
χ784-4-4400-4400040000-4-44-4-44400000-4440000000000-400000000000000000000000000000000000000000000000
χ79888888-8-8-800-20000-2-2-20000000-2-22200000000000000000000200000000000000000000000000000000000000
χ808888-8-8-8-8800-20000-2-2-20000000222200000000000000000000-200000000000000000000000000000000000000
χ8188-8-88i−8i00000-24i2−4i242−42-2220000000−2i2i000000000000000000000000000−i2i2−22000000000000000000000000000000
χ8288-8-88i−8i00000-2−4i24i2−4242-2220000000−2i2i000000000000000000000000000i2−i22−2000000000000000000000000000000
χ8388-8-8−8i8i00000-24i2−4i2−4242-22200000002i−2i000000000000000000000000000−i2i22−2000000000000000000000000000000
χ8488-8-8−8i8i00000-2−4i24i242−42-22200000002i−2i000000000000000000000000000i2−i2−22000000000000000000000000000000
χ858-8-88008-808-8-2000022-2000000000-2200000000000000000000000-220000000000000000000000000000000000
χ868-8-88008-80-88-2000022-2000000000-22000000000000000000000002-20000000000000000000000000000000000
χ878-8-8800-88000-2000022-20000000002-200000000000000000000025−25000000000000000000000000000000000000
χ888-8-8800-88000-2000022-20000000002-2000000000000000000000−2525000000000000000000000000000000000000
χ8916-1616-160000000-400004-440000000000000000000000000000000000000000000000000000000000000000000000

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