Finite Group Databasebeta

← Group #72283401

Character table — Group #72283401

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1122244444444888888888888888888888888888161616163232323232326464646464646464
order1222222444444444888888888888888888888888224422224444448888
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ911111-1-11-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-11-11-11-11-11-1
χ1011111-1-11-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-11-1-11-11-11-11
χ1111111-1-11-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11i−i−iii−i−ii
χ1211111-1-11-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11−iii−i−iii−i
χ1311111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-111-11-1-11-11
χ1411111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-11-11-111-11-1
χ1511111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1i−i−ii−iii−i
χ1611111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1−iii−ii−i−ii
χ172222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-22-2000000000000
χ182222222222222222-2-2-2-2-2-2-2-20000000000000000-2-222-22000000000000
χ1922222-2-22-2-22222-2-2-2-2-2-22222000000000000000022-2-2-22000000000000
χ2022222-2-22-2-22222-2-2-2-2-2-222220000000000000000-2-2222-2000000000000
χ2122-2-2200-200222-20022-2-20000000000002222-2-2-2-22-22-200020-200000000
χ2222-2-2200-200222-20022-2-20000000000002222-2-2-2-2-22-22000-20200000000
χ2322-2-2200-200222-20022-2-2000000000000-2-2-2-222222-22-2000-20200000000
χ2422-2-2200-200222-20022-2-2000000000000-2-2-2-22222-22-2200020-200000000
χ2522-2-2200-200222-200-2-22200002222-2-2-2-2000000002-2-220020-2000000000
χ2622-2-2200-200222-200-2-22200002222-2-2-2-200000000-222-200-202000000000
χ2722-2-2200-200222-200-2-2220000-2-2-2-22222000000002-2-2200-202000000000
χ2822-2-2200-200222-200-2-2220000-2-2-2-2222200000000-222-20020-2000000000
χ2944444444444-4-4-4-4-4000000000000000000000000000000000000000000
χ304444444-4-4-4-4000000000000022-2-222-2-222-2-222-2-2000000000000000000
χ314444444-4-4-4-40000000000000-2-222-2-222-2-222-2-222000000000000000000
χ3244444-4-44-4-44-4-4-444000000000000000000000000000000000000000000
χ3344444-4-4-444-4000000000000022-2-222-2-2-2-222-2-222000000000000000000
χ3444444-4-4-444-40000000000000-2-222-2-22222-2-222-2-2000000000000000000
χ35444-4-40004-40000002-22-222-2-20022−220022−2222−220022−2200000000000000000000
χ36444-4-40004-40000002-22-222-2-200−222200−2222−222200−222200000000000000000000
χ37444-4-40004-4000000-22-22-2-22222−220022−22000022−220022−22000000000000000000
χ38444-4-40004-4000000-22-22-2-222−222200−22220000−222200−2222000000000000000000
χ39444-4-4000-440000002-22-2-2-2220022−220022−22−222200−222200000000000000000000
χ40444-4-4000-440000002-22-2-2-22200−222200−222222−220022−2200000000000000000000
χ41444-4-4000-44000000-22-2222-2-222−220022−220000−222200−2222000000000000000000
χ42444-4-4000-44000000-22-2222-2-2−222200−2222000022−220022−22000000000000000000
χ4344-44-44-40000000002-2-222-22-222−2200−22220022−2200−222200000000000000000000
χ4444-44-44-40000000002-2-222-22-2−22220022−2200−22220022−2200000000000000000000
χ4544-44-44-4000000000-222-2-22-220022−2200−22220022−2200−2222000000000000000000
χ4644-44-44-4000000000-222-2-22-2200−22220022−2200−22220022−22000000000000000000
χ4744-44-4-440000000002-2-22-22-2222−2200−222200−22220022−2200000000000000000000
χ4844-44-4-440000000002-2-22-22-22−22220022−220022−2200−222200000000000000000000
χ4944-44-4-44000000000-222-22-22-20022−2200−222200−22220022−22000000000000000000
χ5044-44-4-44000000000-222-22-22-200−22220022−220022−2200−2222000000000000000000
χ5144-4-4400400-40004-40000000022-2-2-2-22222-2-2-2-222000000000000000000
χ5244-4-4400400-40004-400000000-2-22222-2-2-2-22222-2-2000000000000000000
χ5344-4-4400400-4000-440000000022-2-2-2-222-2-22222-2-2000000000000000000
χ5444-4-4400400-4000-4400000000-2-22222-2-222-2-2-2-222000000000000000000
χ5544-4-4400-4004-4-440000004-4-440000000000000000000000000000000000
χ5644-4-4400-4004-4-44000000-444-40000000000000000000000000000000000
χ5716-160000000008-8000000000000000000000000000000000000000000000
χ5816-16000000000-88000000000000000000000000000000000000000000000

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