Finite Group Databasebeta

← Group #292760

Character table — Group #292760

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444222444444444888888884444448888888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111111111-1-1-1-111111-111-1-111-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-11-1
χ1011111111111111111-1-1-1-111111-111-1-111-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-11
χ1111111111111111111-1-1-1-111111-1-1-1-1-111-1-111-11111-1-1-1-1-1111-1-111-1-1-1-111-11
χ1211111111111111111-1-1-1-111111-1-1-1-1-111-1-111-1-1-1-1-11111-1111-1-1-1-11111-1-11-1
χ1311111111111111111-1-1-1-1-1-1-1-11-11111-1-111-1-1-11111-1-1-1-11-111-1-1-1-11111-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-1-111111-111-1-111-1-1-1-1111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-11111-1-1-1-1-11-1-111-1-111-1-1111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-11111-11-1-11111-1-111-1-1-11
χ172222222222-2-222-2-2-222-2-22222-2-200-2-2-2-222002000000000000000000000000
χ182222222222-2-222-2-2-222-2-2-2-2-2-2-2-2002222-2-2002000000000000000000000000
χ192222222222-2-222-2-2-2-2-2222222-220022-2-2-2-200-2000000000000000000000000
χ202222222222-2-222-2-2-2-2-222-2-2-2-2-2200-2-2222200-2000000000000000000000000
χ2122222222-2-222-2-222-222220000-2-22200000022-200000000-2-200000000000000
χ2222222222-2-222-2-222-222220000-2-2-2-2000000-2-2-2000000002200000000000000
χ2322222222-2-222-2-222-2-2-2-2-20000-2222000000-2-2200000000-2200000000000000
χ2422222222-2-222-2-222-2-2-2-2-20000-22-2-2000000222000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-20000220000000000-200000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-20000220000000000-20000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22200002-20000000000200000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22200002-2000000000020000000000-222-20000000000
χ2922-22-2-22-2002-2002-202i−2i2i−2i0000002-20000002i−2i0i2i2−i2−i222−2−20000000000i2−i22−200
χ3022-22-2-22-2002-2002-202i−2i2i−2i0000002-20000002i−2i0−i2−i2i2i2−2−2220000000000−i2i2−2200
χ3122-22-2-22-2002-2002-202i−2i2i−2i000000-22000000−2i2i0i2i2−i2−i222−2−20000000000−i2i2−2200
χ3222-22-2-22-2002-2002-202i−2i2i−2i000000-22000000−2i2i0−i2−i2i2i2−2−2220000000000i2−i22−200
χ3322-22-2-22-2002-2002-20−2i2i−2i2i0000002-2000000−2i2i0i2i2−i2−i2−2−2220000000000i2−i2−2200
χ3422-22-2-22-2002-2002-20−2i2i−2i2i0000002-2000000−2i2i0−i2−i2i2i222−2−20000000000−i2i22−200
χ3522-22-2-22-2002-2002-20−2i2i−2i2i000000-220000002i−2i0i2i2−i2−i2−2−2220000000000−i2i22−200
χ3622-22-2-22-2002-2002-20−2i2i−2i2i000000-220000002i−2i0−i2−i2i2i222−2−20000000000i2−i2−2200
χ372-22-22-22-22-2222-2-2-2-200002i2i−2i−2i2000002i−2i0000000002-22-2000000002i−2i000000
χ382-22-22-22-22-2222-2-2-2-200002i2i−2i−2i2000002i−2i000000000-22-2200000000−2i2i000000
χ392-22-22-22-22-2222-2-2-2-20000−2i−2i2i2i200000−2i2i0000000002-22-200000000−2i2i000000
χ402-22-22-22-22-2222-2-2-2-20000−2i−2i2i2i200000−2i2i000000000-22-22000000002i−2i000000
χ412-22-22-22-22-2-2-22-222200002i2i−2i−2i-200000−2i2i000002i−2i2i−2i00000000002-200000000
χ422-22-22-22-22-2-2-22-222200002i2i−2i−2i-200000−2i2i00000−2i2i−2i2i0000000000-2200000000
χ432-22-22-22-22-2-2-22-22220000−2i−2i2i2i-2000002i−2i000002i−2i2i−2i0000000000-2200000000
χ442-22-22-22-22-2-2-22-22220000−2i−2i2i2i-2000002i−2i00000−2i2i−2i2i00000000002-200000000
χ4544-44-4-44-400-4400-4404i−4i−4i4i00000000000000000000000000000000000000000
χ4644-44-4-44-400-4400-440−4i4i4i−4i00000000000000000000000000000000000000000
χ4744-4-44-4-444400-4-400000000000000000004i−4i000000000000000000000000000
χ4844-4-44-4-444400-4-40000000000000000000−4i4i000000000000000000000000000
χ4944-4-44-4-44-4-4004400000004-44-40000000000000000000000000000000000000
χ5044-4-44-4-44-4-400440000000-44-440000000000000000000000000000000000000
χ514-44-44-44-4-4444-44-4-4400000000-4000000000000000000000000000000000000
χ524-44-44-44-4-44-4-4-4444-4000000004000000000000000000000000000000000000
χ534-4-4444-4-44-400-440000000000000004i−4i0000000000000000000000000000000
χ544-4-4444-4-44-400-44000000000000000−4i4i0000000000000000000000000000000
χ554-4-4444-4-4-44004-400000004i−4i−4i4i0000000000000000000000000000000000000
χ564-4-4444-4-4-44004-40000000−4i4i4i−4i0000000000000000000000000000000000000
χ574-4-4-4-4444004-400-440000000000000000000000000022−22−22220000000000000000
χ584-4-4-4-4444004-400-4400000000000000000000000000−222222−220000000000000000
χ594-4-4-4-444400-44004-4000000000000000000000022−22−222200000000000000000000
χ604-4-4-4-444400-44004-40000000000000000000000−222222−2200000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ628-888-8-8-88000000000000000000000000000000000000000000000000000000

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