Finite Group Databasebeta

← Group #13019249

Character table — Group #13019249

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444444455558888888101010101616161616161616161620202020202020202020202020202032324040404040404040404040404080
order12224444444510101022224882020202044444202020202040404040444444488888888202044444448888884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11
χ311111111111111111111-1-111111111-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ411111111111111111111-1-111111111-111111-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1
χ5111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1ii−i−i-1iiii−i−i−i−i11-1i−iii−i−i-1-1ii−i−i-1
χ6111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1−i−iii-1−i−i−i−iiiii11-1−ii−i−iii-1-1−i−iii-1
χ7111111111111111-1-1-1-11-1-11111-1-1-1-1-111111-1-1-1-1-1-1ii−i−i-1−i−i−i−iiiii-1-1-1i−iii−i−i11−i−iii1
χ8111111111111111-1-1-1-11-1-11111-1-1-1-1-111111-1-1-1-1-1-1−i−iii-1iiii−i−i−i−i-1-1-1−ii−i−iii11ii−i−i1
χ9111111111-1-111111111-11111111111-11-1-1-1-11111-1-11111111111111-1-1-111-1-1-1-111-1-1-1-1-1
χ10111111111-1-111111111-11111111111-11-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ11111111111-1-111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111
χ12111111111-1-111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-11
χ13111111111-1-11111-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111ii−i−i-1iiii−i−i−i−i-1-11i−i−i−iii-1-1−i−iii1
χ14111111111-1-11111-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111−i−iii-1−i−i−i−iiiii-1-11−iiii−i−i-1-1ii−i−i1
χ15111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i-1−i−i−i−iiiii111i−i−i−iii11ii−i−i-1
χ16111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111−i−iii-1iiii−i−i−i−i111−iiii−i−i11−i−iii-1
χ17222222-2-2-2002222222200022-2-22-2-220-200000000002222-200000000000-2-200000000000
χ18222222-2-2-2002222222200022-2-22-2-220-20000000000-2-2-2-2-2000000000002200000000000
χ19222222-2-2-2002222-2-2-2-200022-2-2-222-20-200000000002i2i−2i−2i200000000000−2i2i00000000000
χ20222222-2-2-2002222-2-2-2-200022-2-2-222-20-20000000000−2i−2i2i2i2000000000002i−2i00000000000
χ212222-2-222-22222222222-200-2-222-222-20-222-2-20000220000-20000000000-20000000000000
χ222222-2-222-2222222-2-2-2-2-200-2-2222-2-220-222-2-20000-2-200002000000000020000000000000
χ232222-2-222-2-2-222222222200-2-222-222-20-2-2-2220000-2-20000-2000000000020000000000000
χ242222-2-222-2-2-22222-2-2-2-2200-2-2222-2-220-2-2-222000022000020000000000-20000000000000
χ252222-2-2-2-220022222222000-2-2-2-2-2-2-2-20200000000000000200000000000002-22-20000000
χ262222-2-2-2-220022222222000-2-2-2-2-2-2-2-2020000000000000020000000000000-22-220000000
χ272222-2-2-2-22002222-2-2-2-2000-2-2-2-222220200000000000000-200000000000002i−2i−2i2i0000000
χ282222-2-2-2-22002222-2-2-2-2000-2-2-2-222220200000000000000-20000000000000−2i2i2i−2i0000000
χ2922-2-22-20000022-2-222-2-202−22-200200-200000022−2−2002-22-2022−2−222−2−20000000002−200000
χ3022-2-22-20000022-2-222-2-202−22-200200-200000022−2−200-22-220−2−222−2−2220000000002−200000
χ3122-2-22-20000022-2-222-2-20−222-200200-2000000−2−222002-22-20−2−222−2−222000000000−2200000
χ3222-2-22-20000022-2-222-2-20−222-200200-2000000−2−22200-22-22022−2−222−2−2000000000−2200000
χ3322-2-22-20000022-2-2-2-22202−22-200-200200000022−2−2002i−2i−2i2i0i2i2−i2−i2−i2−i2i2i2000000000−2200000
χ3422-2-22-20000022-2-2-2-22202−22-200-200200000022−2−200−2i2i2i−2i0−i2−i2i2i2i2i2−i2−i2000000000−2200000
χ3522-2-22-20000022-2-2-2-2220−222-200-2002000000−2−222002i−2i−2i2i0−i2−i2i2i2i2i2−i2−i20000000002−200000
χ3622-2-22-20000022-2-2-2-2220−222-200-2002000000−2−22200−2i2i2i−2i0i2i2−i2−i2−i2−i2i2i20000000002−200000
χ372-2-22002-202i−2i2-2-222-2-22000002-202-20002i−2i0000002i−2i000002−22−22−22−200000000000i2−i2i2−i20
χ382-2-22002-202i−2i2-2-222-2-22000002-202-20002i−2i0000002i−2i00000−22−22−22−2200000000000−i2i2−i2i20
χ392-2-22002-202i−2i2-2-22-222-2000002-20-220002i−2i000000−2i2i00000i2−i2i2−i2−i2i2−i2i200000000000−222−20
χ402-2-22002-202i−2i2-2-22-222-2000002-20-220002i−2i000000−2i2i00000−i2i2−i2i2i2−i2i2−i2000000000002−2−220
χ412-2-22002-20−2i2i2-2-222-2-22000002-202-2000−2i2i000000−2i2i000002−22−22−22−200000000000−i2i2−i2i20
χ422-2-22002-20−2i2i2-2-222-2-22000002-202-2000−2i2i000000−2i2i00000−22−22−22−2200000000000i2−i2i2−i20
χ432-2-22002-20−2i2i2-2-22-222-2000002-20-22000−2i2i0000002i−2i00000i2−i2i2−i2−i2i2−i2i2000000000002−2−220
χ442-2-22002-20−2i2i2-2-22-222-2000002-20-22000−2i2i0000002i−2i00000−i2i2−i2i2i2−i2i2−i200000000000−222−20
χ4544444444444-1-1-1-10000444-1-1-1-100004-1-1-1-1-1-1-1-1-1000000000000000-1-100000000000000
χ4644444444444-1-1-1-100004-4-4-1-1-1-10000-4-1-1-1-1-111110000000000000001100000000000000
χ47444444444-4-4-1-1-1-10000-444-1-1-1-10000-4-11111-1-1-1-10000000000000001100000000000000
χ48444444444-4-4-1-1-1-10000-4-4-4-1-1-1-100004-111111111000000000000000-1-100000000000000
χ494444-4-444-444-1-1-1-10000-40011-1-1000001-1-1115−55−50000000000000005−500000000000000
χ504444-4-444-444-1-1-1-10000-40011-1-1000001-1-111−55−55000000000000000−5500000000000000
χ514444-4-444-4-4-4-1-1-1-1000040011-1-100000111-1-15−55−5000000000000000−5500000000000000
χ524444-4-444-4-4-4-1-1-1-1000040011-1-100000111-1-1−55−550000000000000005−500000000000000
χ5344-4-4-440000044-4-444-4-4000-4400-400400000000000000000000000000000000000000000
χ5444-4-4-440000044-4-4-4-444000-4400400-400000000000000000000000000000000000000000
χ554-44-400000004-44-44-44-400000000000000000000000000002-2-222-2-220000000000000000
χ564-44-400000004-44-44-44-40000000000000000000000000000-222-2-222-20000000000000000
χ574-44-400000004-44-4-44-4400000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ584-44-400000004-44-4-44-440000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ594-4-4400-440004-4-444-4-4400000-440-44000000000000000000000000000000000000000000
χ604-4-4400-440004-4-44-444-400000-4404-4000000000000000000000000000000000000000000
χ61888888-8-8-800-2-2-2-20000000-2-222000002000000000000000000000000000000000000000
χ628888-8-8-8-8800-2-2-2-20000000222200000-2000000000000000000000000000000000000000
χ6388-8-88-800000-2-2220000042−42-22000000000000−2−2220000000000000000000000000000000
χ6488-8-88-800000-2-22200000−4242-2200000000000022−2−20000000000000000000000000000000
χ6588-8-8-8800000-2-22200000002-200000000000010−10−10100000000000000000000000000000000
χ6688-8-8-8800000-2-22200000002-2000000000000−101010−100000000000000000000000000000000
χ678-8-88008-808i−8i-222-2000000000-22000000−2i2i0000000000000000000000000000000000000
χ688-8-88008-80−8i8i-222-2000000000-220000002i−2i0000000000000000000000000000000000000
χ698-8-8800-88000-222-20000000002-20000000025−2500000000000000000000000000000000000
χ708-8-8800-88000-222-20000000002-200000000−252500000000000000000000000000000000000
χ7116-1616-160000000-44-4400000000000000000000000000000000000000000000000000000000

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