Finite Group Databasebeta

← Group #246710

Character table — Group #246710

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ51111111111111111111111-1-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1111111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-11111-1-1-1-1-11-11-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1-1-11111-11-111111-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-111-111-111111111-1-1-1-11-1-1111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-111-111-11111-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-22222-2-2220000-222-200000000000000-2-200000000000000
χ182222222222-2-222-2-22222-2-2-2-20000-2-2-2-2000000000000002200000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-22200002-2-2200000000000000-2200000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-200002222000000000000002-200000000000000
χ2122222222-2-222-2-22222-2-2-2-2002222-2002000000000000-2-20000000000000000
χ2222222222-2-222-2-22222-2-2-2-200-2-2-2-2-2002000000000000220000000000000000
χ2322222222-2-222-2-222-2-222-2-20022-2-2200-20000000000002-20000000000000000
χ2422222222-2-222-2-222-2-222-2-200-2-222200-2000000000000-220000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222000000200-222-2-2000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222000000200-2-2-22200000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000-200222-2-200000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000-2002-2-222000000000000002-20000000000
χ292-22-222-2-2-2-20022002-22-2002i−2i000002i−2i0000022−2−222−2−20000000000i2−i2i2−i20000
χ302-22-222-2-2-2-20022002-22-2002i−2i000002i−2i00000−2−222−2−2220000000000−i2i2−i2i20000
χ312-22-222-2-2-2-20022002-22-200−2i2i00000−2i2i0000022−2−222−2−20000000000−i2i2−i2i20000
χ322-22-222-2-2-2-20022002-22-200−2i2i00000−2i2i00000−2−222−2−2220000000000i2−i2i2−i20000
χ332-22-222-2-2-2-2002200-22-22002i−2i00000−2i2i0000022−2−2−2−2220000000000i2−i2−i2i20000
χ342-22-222-2-2-2-2002200-22-22002i−2i00000−2i2i00000−2−22222−2−20000000000−i2i2i2−i20000
χ352-22-222-2-2-2-2002200-22-2200−2i2i000002i−2i0000022−2−2−2−2220000000000−i2i2i2−i20000
χ362-22-222-2-2-2-2002200-22-2200−2i2i000002i−2i00000−2−22222−2−20000000000i2−i2−i2i20000
χ372-2-2-2-22222-22-22-22-20000-2200000000002-22-200002-22-2000000002-200000000
χ382-2-2-2-22222-22-22-22-20000-2200000000002-22-20000-22-2200000000-2200000000
χ392-2-2-2-22222-22-22-22-20000-220000000000-22-2200002-22-200000000-2200000000
χ402-2-2-2-22222-22-22-22-20000-220000000000-22-220000-22-22000000002-200000000
χ412-2-2-2-2222-22-22-22-220000-2200000000002-2-222-22-2000000002-2000000000000
χ422-2-2-2-2222-22-22-22-220000-2200000000002-2-22-22-2200000000-22000000000000
χ432-2-2-2-2222-22-22-22-220000-220000000000-222-22-22-200000000-22000000000000
χ442-2-2-2-2222-22-22-22-220000-220000000000-222-2-22-22000000002-2000000000000
χ45444-4-4-4-44004-400-4400000000004i−4i0000000000000000000000000000000000
χ46444-4-4-4-44004-400-440000000000−4i4i0000000000000000000000000000000000
χ47444-4-4-4-4400-44004-4000000004i−4i000000000000000000000000000000000000
χ48444-4-4-4-4400-44004-400000000−4i4i000000000000000000000000000000000000
χ4944-44-44-4-44-400-44000000000000000000000022−22−22220000000000000000000000
χ5044-44-44-4-44-400-440000000000000000000000−222222−220000000000000000000000
χ5144-44-44-4-4-44004-40000000000000000000000000022−22−2222000000000000000000
χ5244-44-44-4-4-44004-400000000000000000000000000−222222−22000000000000000000
χ534-44-444-4-44400-4-4004-4-44000000000000000000000000000000000000000000
χ544-44-444-4-44400-4-400-444-4000000000000000000000000000000000000000000
χ554-4-444-4-44004400-4-40000000000000000000000000000000000000000002i2−2i200
χ564-4-444-4-44004400-4-4000000000000000000000000000000000000000000−2i22i200
χ574-4-444-4-4400-4-400440000000000000000000000000000000000000000000022−22
χ584-4-444-4-4400-4-4004400000000000000000000000000000000000000000000−2222
χ594-4-4-4-44444-4-444-4-4400004-40000000000000000000000000000000000000000
χ604-4-4-4-4444-444-4-444-400004-40000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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