Finite Group Databasebeta

← Group #458586

Character table — Group #458586

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111
χ911111111111111111111-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ1111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111
χ1211111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ1311111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ1511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111
χ1611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ1722222222-2-2-2-22-2222-2-2-20022000000-2-20000000022-2-2002-200000000000000
χ1822222222-2-2-2-22-2222-2-2-20022000000-2-200000000-2-22200-2200000000000000
χ1922222222-2-2-2-22-2222-2-2-200-2-2000000220000000022-2-200-2200000000000000
χ2022222222-2-2-2-22-2222-2-2-200-2-20000002200000000-2-222002-200000000000000
χ2122222222-2-2-2-2-22-2-2-222222000000-2-200000022-2-200002-20000000000000000
χ2222222222-2-2-2-2-22-2-2-222222000000-2-2000000-2-2220000-220000000000000000
χ2322222222-2-2-2-2-22-2-2-2222-2-20000002200000022-2-20000-220000000000000000
χ2422222222-2-2-2-2-22-2-2-2222-2-200000022000000-2-22200002-20000000000000000
χ25222-2-2-22-222-2-2222-2-22-2-2000022-2-2000000000000000000000000002-22-20000
χ26222-2-2-22-222-2-2222-2-22-2-2000022-2-200000000000000000000000000-22-220000
χ27222-2-2-22-222-2-2222-2-22-2-20000-2-222000000000000000000000000002-2-220000
χ28222-2-2-22-222-2-2222-2-22-2-20000-2-22200000000000000000000000000-222-20000
χ292-2-222-22-22-22-2-2-222-222-22i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000000000000
χ302-2-222-22-22-22-2-2-222-222-22i−2i−2i2i-22-222i−2i−2i2i000000000000000000000000000000
χ312-2-222-22-22-22-2-2-222-222-2−2i2i2i−2i-22-22−2i2i2i−2i000000000000000000000000000000
χ322-2-222-22-22-22-2-2-222-222-2−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000000000000000000
χ332-2-222-22-2-22-222-2-2-2222-22i−2i000000−2i2i000000000000000000002i−2i0000002-200
χ342-2-222-22-2-22-222-2-2-2222-22i−2i000000−2i2i00000000000000000000−2i2i000000-2200
χ352-2-222-22-2-22-222-2-2-2222-2−2i2i0000002i−2i000000000000000000002i−2i000000-2200
χ362-2-222-22-2-22-222-2-2-2222-2−2i2i0000002i−2i00000000000000000000−2i2i0000002-200
χ372-2-222-22-2-22-22-2222-2-2-22002i−2i000000−2i2i000000000000000000002i−2i0000002-2
χ382-2-222-22-2-22-22-2222-2-2-22002i−2i000000−2i2i00000000000000000000−2i2i000000-22
χ392-2-222-22-2-22-22-2222-2-2-2200−2i2i0000002i−2i000000000000000000002i−2i000000-22
χ402-2-222-22-2-22-22-2222-2-2-2200−2i2i0000002i−2i00000000000000000000−2i2i0000002-2
χ412-2-2-2-22222-2-22-2-22-222-2200002-2-22000022-2-20000000000002-2000000000000
χ422-2-2-2-22222-2-22-2-22-222-2200002-2-220000-2-222000000000000-22000000000000
χ432-2-2-2-22222-2-22-2-22-222-220000-222-2000022-2-2000000000000-22000000000000
χ442-2-2-2-22222-2-22-2-22-222-220000-222-20000-2-2220000000000002-2000000000000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-4-4-4-444-444000000000000000000000000000000000000000000
χ47444-4-4-44-4-4-4444-44-4-4-444000000000000000000000000000000000000000000
χ48444-4-4-44-4-4-444-44-4444-4-4000000000000000000000000000000000000000000
χ4944-44-44-4-40000000000000000000000002-22-20022−220022−22000000000000000000
χ5044-44-44-4-40000000000000000000000002-22-200−222200−2222000000000000000000
χ5144-44-44-4-4000000000000000000000000-22-220022−2200−2222000000000000000000
χ5244-44-44-4-4000000000000000000000000-22-2200−22220022−22000000000000000000
χ534-44-444-4-40000000000000000000000002-2-2222−220022−2200000000000000000000
χ544-44-444-4-40000000000000000000000002-2-22−222200−222200000000000000000000
χ554-44-444-4-4000000000000000000000000-222-222−2200−222200000000000000000000
χ564-44-444-4-4000000000000000000000000-222-2−22220022−2200000000000000000000
χ574-4-444-44-44-44-444-4-44-4-44000000000000000000000000000000000000000000
χ584-4-4-4-44444-4-4444-44-4-44-4000000000000000000000000000000000000000000
χ594-4-4-4-4444-444-44-4-44-44-44000000000000000000000000000000000000000000
χ604-4-4-4-4444-444-4-444-44-44-4000000000000000000000000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-888-8-8-88000000000000000000000000000000000000000000000000000000

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