Finite Group Databasebeta

← Group #72339612

Character table — Group #72339612

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size11222444444888888888816161616161616161616161616161616161616161616163232323232646464646464
order1222222444422222244442244444444444448888888844488448888
χ11111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ311111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1
χ611111111111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-111
χ711111111111-1-1-1-111-1-1-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111
χ811111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1
χ911111-1-11-11-111-1-11111-1-11-1111ii−i−iii−i−i-1-1ii−i−iii−i−i-1-111-11-1i−ii−i
χ1011111-1-11-11-111-1-11111-1-11-1111−i−iii−i−iii-1-1−i−iii−i−iii-1-111-11-1−ii−ii
χ1111111-1-11-11-111-1-11111-1-11-1-1-11ii−i−iii−i−i-1-1ii−i−iii−i−i11-11-1-11−ii−ii
χ1211111-1-11-11-111-1-11111-1-11-1-1-11−i−iii−i−iii-1-1−i−iii−i−iii11-11-1-11i−ii−i
χ1311111-1-11-11-1-1-11111-1-1111-1111ii−i−i−i−iii-1-1ii−i−i−i−iii-1-11-11-11i−i−ii
χ1411111-1-11-11-1-1-11111-1-1111-1111−i−iiiii−i−i-1-1−i−iiiii−i−i-1-11-11-11−iii−i
χ1511111-1-11-11-1-1-11111-1-1111-1-1-11ii−i−i−i−iii-1-1ii−i−i−i−iii11-1-111-1−iii−i
χ1611111-1-11-11-1-1-11111-1-1111-1-1-11−i−iiiii−i−i-1-1−i−iiiii−i−i11-1-111-1i−i−ii
χ17222222222220000-2-200002-200-2000022222-20000-2-2-2-200000000000
χ18222222222220000-2-200002-200-20000-2-2-2-22-20000222200000000000
χ19222222222220000-2-20000-2-200222220000-22-2-2-2-2000000000000000
χ20222222222220000-2-20000-2-2002-2-2-2-20000-222222000000000000000
χ21222222222222222222222-2200-200000000-2-200000000000-2-2000000
χ2222222222222-2-2-2-222-2-2-2-2-2200-200000000-2-20000000000022000000
χ2322222-2-22-22-20000-2-200002200-200002i2i−2i−2i-220000−2i−2i2i2i00000000000
χ2422222-2-22-22-20000-2-200002200-20000−2i−2i2i2i-2200002i2i−2i−2i00000000000
χ2522222-2-22-22-20000-2-20000-220022i2i−2i−2i00002-2−2i−2i2i2i000000000000000
χ2622222-2-22-22-20000-2-20000-22002−2i−2i2i2i00002-22i2i−2i−2i000000000000000
χ2722222-2-22-22-222-2-22222-2-2-2-200-2000000002200000000000-22000000
χ2822222-2-22-22-2-2-22222-2-222-2-200-20000000022000000000002-2000000
χ294444444-4-4-4-40000000000002200000000000000000002-2-200000000
χ304444444-4-4-4-4000000000000-2-20000000000000000000-22200000000
χ3144444-4-4-44-44000000000000220000000000000000000-22-200000000
χ3244444-4-4-44-44000000000000-2-200000000000000000002-2200000000
χ33444-4-400040-42-22-2002-22-2000002i−2i2i−2i00000000002i−2i2i−2i00000000000
χ34444-4-400040-42-22-2002-22-200000−2i2i−2i2i0000000000−2i2i−2i2i00000000000
χ35444-4-400040-4-22-2200-22-22000002i−2i2i−2i0000000000−2i2i−2i2i00000000000
χ36444-4-400040-4-22-2200-22-2200000−2i2i−2i2i00000000002i−2i2i−2i00000000000
χ37444-4-4000-4042-2-22002-2-22000002-2-2200000000002-2-2200000000000
χ38444-4-4000-4042-2-22002-2-2200000-222-20000000000-222-200000000000
χ39444-4-4000-404-222-200-222-2000002-2-220000000000-222-200000000000
χ40444-4-4000-404-222-200-222-200000-222-200000000002-2-2200000000000
χ4144-44-44-4000022-2-200-2-2220000000002i−2i2i−2i002i−2i2i−2i000000000000000
χ4244-44-44-4000022-2-200-2-222000000000−2i2i−2i2i00−2i2i−2i2i000000000000000
χ4344-44-44-40000-2-2220022-2-20000000002i−2i2i−2i00−2i2i−2i2i000000000000000
χ4444-44-44-40000-2-2220022-2-2000000000−2i2i−2i2i002i−2i2i−2i000000000000000
χ4544-44-4-440000222200-2-2-2-20000000002-2-22002-2-22000000000000000
χ4644-44-4-440000222200-2-2-2-2000000000-222-200-222-2000000000000000
χ4744-44-4-440000-2-2-2-20022220000000002-2-2200-222-2000000000000000
χ4844-44-4-440000-2-2-2-2002222000000000-222-2002-2-22000000000000000
χ4944-4-4400-4040004-44-400-440000000000000000000000000000000000
χ5044-4-4400-404000-444-4004-40000000000000000000000000000000000
χ5144-4-4400-40404-400-44-44000000000000000000000000000000000000
χ5244-4-4400-4040-4400-444-4000000000000000000000000000000000000
χ5388-8-880080-8000000000000000000000000000000000000000000000
χ5416-160000000000000000000004i−4i000000000000000000000000000000
χ5516-16000000000000000000000−4i4i000000000000000000000000000000

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