Finite Group Databasebeta

← Group #13019247

Character table — Group #13019247

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444444455558888888101010101616161616161616161620202020202020202020202020202032324040404040404040404040404080
order12224444444510101022222882020202044444101020202040404040444444488888888202024444448888884
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
χ9111111111-1-111111111-11111111111-1-1-11-1-11111-1-11111111111111-1-1-111-1-1-1-111-1-1-1-1-1
χ10111111111-1-111111111-11111111111-1-1-11-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ11111111111-1-111111111-1-1-1111111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111
χ12111111111-1-111111111-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-11
χ13111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1111111ii−i−i-1iiii−i−i−i−i-1-11i−i−i−iii-1-1−i−iii1
χ14111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1111111−i−iii-1−i−i−i−iiiii-1-11−iiii−i−i-1-1ii−i−i1
χ15111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-111ii−i−i-1−i−i−i−iiiii111i−i−i−iii11ii−i−i-1
χ16111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-111−i−iii-1iiii−i−i−i−i111−iiii−i−i11−i−iii-1
χ1722222-2-22-22222222222-2002-2-2222-2-20-2-2-2220000220000-20000000000-20000000000000
χ1822222-2-22-2222222-2-2-2-2-2002-2-22-2-2220-2-2-2220000-2-200002000000000020000000000000
χ1922222-2-22-2-2-2222222222002-2-2222-2-2022-2-2-20000-2-20000-2000000000020000000000000
χ2022222-2-22-2-2-22222-2-2-2-22002-2-22-2-222022-2-2-2000022000020000000000-20000000000000
χ212222-222-2-20022222222000-222-2-2-222000-2000000002222-200000000000-2-200000000000
χ222222-222-2-20022222222000-222-2-2-222000-200000000-2-2-2-2-2000000000002200000000000
χ232222-222-2-2002222-2-2-2-2000-222-222-2-2000-2000000002i2i−2i−2i200000000000−2i2i00000000000
χ242222-222-2-2002222-2-2-2-2000-222-222-2-2000-200000000−2i−2i2i2i2000000000002i−2i00000000000
χ252222-2-2-2-220022222222000-2-2-2-2-2-2-2-20002000000000000200000000000002-22-20000000
χ262222-2-2-2-220022222222000-2-2-2-2-2-2-2-2000200000000000020000000000000-22-220000000
χ272222-2-2-2-22002222-2-2-2-2000-2-2-2-222220002000000000000-200000000000002i−2i−2i2i0000000
χ282222-2-2-2-22002222-2-2-2-2000-2-2-2-222220002000000000000-20000000000000−2i2i2i−2i0000000
χ2922-2-2-200202i−2i22-2-22-2-22000-20022-20000002i−2i00002i−2i00000i2i2−i2−i2i2i2−i2−i2000000000002−22−20
χ3022-2-2-200202i−2i22-2-22-2-22000-20022-20000002i−2i00002i−2i00000−i2−i2i2i2−i2−i2i2i200000000000−22−220
χ3122-2-2-200202i−2i22-2-2-222-2000-2002-220000002i−2i0000−2i2i0000022−2−2−2−22200000000000−i2i2i2−i20
χ3222-2-2-200202i−2i22-2-2-222-2000-2002-220000002i−2i0000−2i2i00000−2−22222−2−200000000000i2−i2−i2i20
χ3322-2-2-20020−2i2i22-2-22-2-22000-20022-2000000−2i2i0000−2i2i00000i2i2−i2−i2i2i2−i2−i200000000000−22−220
χ3422-2-2-20020−2i2i22-2-22-2-22000-20022-2000000−2i2i0000−2i2i00000−i2−i2i2i2−i2−i2i2i2000000000002−22−20
χ3522-2-2-20020−2i2i22-2-2-222-2000-2002-22000000−2i2i00002i−2i0000022−2−2−2−22200000000000i2−i2−i2i20
χ3622-2-2-20020−2i2i22-2-2-222-2000-2002-22000000−2i2i00002i−2i00000−2−22222−2−200000000000−i2i2i2−i20
χ372-2-2202-200002-2-2222-2-202−202-20002-200000022−2−2002i−2i2i−2i0i2−i2i2−i2i2−i2i2−i20000000002−200000
χ382-2-2202-200002-2-2222-2-202−202-20002-200000022−2−200−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i20000000002−200000
χ392-2-2202-200002-2-2222-2-20−2202-20002-2000000−2−222002i−2i2i−2i0−i2i2−i2i2−i2i2−i2i2000000000−2200000
χ402-2-2202-200002-2-2222-2-20−2202-20002-2000000−2−22200−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i2000000000−2200000
χ412-2-2202-200002-2-22-2-22202−202-2000-2200000022−2−2002-2-2202−22−2−22−22000000000−2200000
χ422-2-2202-200002-2-22-2-22202−202-2000-2200000022−2−200-222-20−22−222−22−2000000000−2200000
χ432-2-2202-200002-2-22-2-2220−2202-2000-22000000−2−222002-2-220−22−222−22−20000000002−200000
χ442-2-2202-200002-2-22-2-2220−2202-2000-22000000−2−22200-222-202−22−2−22−220000000002−200000
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
χ47444444444-4-4-1-1-1-10000-444-1-1-1-10000-411-111-1-1-1-10000000000000001100000000000000
χ48444444444-4-4-1-1-1-10000-4-4-4-1-1-1-10000411-1111111000000000000000-1-100000000000000
χ4944444-4-44-444-1-1-1-10000-400-111-100000111-1-15−55−50000000000000005−500000000000000
χ5044444-4-44-444-1-1-1-10000-400-111-100000111-1-1−55−55000000000000000−5500000000000000
χ5144444-4-44-4-4-4-1-1-1-10000400-111-100000-1-11115−55−5000000000000000−5500000000000000
χ5244444-4-44-4-4-4-1-1-1-10000400-111-100000-1-1111−55−550000000000000005−500000000000000
χ5344-4-4400-400044-4-44-4-44000400-4-440000000000000000000000000000000000000000000
χ5444-4-4400-400044-4-4-444-4000400-44-40000000000000000000000000000000000000000000
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
χ594-4-440-4400004-4-4444-4-40000-44000-4400000000000000000000000000000000000000000
χ604-4-440-4400004-4-44-4-4440000-440004-400000000000000000000000000000000000000000
χ618888-888-8-800-2-2-2-200000002-2-22000000020000000000000000000000000000000000000
χ628888-8-8-8-8800-2-2-2-2000000022220000000-20000000000000000000000000000000000000
χ6388-8-8800-8000-2-2220000000-20020000025−2500000000000000000000000000000000000000
χ6488-8-8800-8000-2-2220000000-200200000−252500000000000000000000000000000000000000
χ6588-8-8-800808i−8i-2-2220000000200-200000000−2i2i00000000000000000000000000000000000
χ6688-8-8-80080−8i8i-2-2220000000200-2000000002i−2i00000000000000000000000000000000000
χ678-8-8808-80000-222-20000042−420-2200000000000−2−2220000000000000000000000000000000
χ688-8-8808-80000-222-200000−42420-220000000000022−2−20000000000000000000000000000000
χ698-8-880-880000-222-2000000002-20000000000010−10−10100000000000000000000000000000000
χ708-8-880-880000-222-2000000002-200000000000−101010−100000000000000000000000000000000
χ7116-1616-160000000-44-4400000000000000000000000000000000000000000000000000000000

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