Finite Group Databasebeta

← Group #303623

Character table — Group #303623

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444224444444444888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111-1-11-1-1111-1-11111111111-1-11-1-11-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1
χ91111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-11-1
χ101111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-111-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111-1-11111-1-1-1-111-1-1-11-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-1111111-1-1-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-111111111-1-1-1-1-1-1111-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-11111-1-1111-111-1-111-1-1-11
χ172222222222-2-222-2-222-2-22222-2-2-2-2-2-2-22002200000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2-2-222-222200-2-200000000000000000000000000
χ192222222222-2-222-2-2-2-2222222-2-2-2-2222-200-2-200000000000000000000000000
χ202222222222-2-222-2-2-2-222-2-2-2-2-2-2222-2-2-2002200000000000000000000000000
χ2122222222-2-222-2-22222220000-2-200-200-22200220000000000-200-20000000000
χ2222222222-2-222-2-22222220000-2-200-200-2-2-200-2-2000000000020020000000000
χ2322222222-2-222-2-222-2-2-2-20000-2-20020022200-2-20000000000200-20000000000
χ2422222222-2-222-2-222-2-2-2-20000-2-2002002-2-200220000000000-20020000000000
χ2522222222-2-2-2-2-2-2-2-222-2-200002200200-2000000000000002-202-200000000000
χ2622222222-2-2-2-2-2-2-2-222-2-200002200200-200000000000000-220-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200002200-2002000000000000002-20-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002200-200200000000000000-2202-200000000000
χ2922-22-2-22-2002-2002-22i−2i2i−2i0000000000002i−2i002-2i2i2−i2−i222−2−200000000002−2i2−i200
χ3022-22-2-22-2002-2002-22i−2i2i−2i0000000000002i−2i002-2−i2−i2i2i2−2−2220000000000−22−i2i200
χ3122-22-2-22-2002-2002-22i−2i2i−2i000000000000−2i2i00-22i2i2−i2−i222−2−20000000000−22−i2i200
χ3222-22-2-22-2002-2002-22i−2i2i−2i000000000000−2i2i00-22−i2−i2i2i2−2−22200000000002−2i2−i200
χ3322-22-2-22-2002-2002-2−2i2i−2i2i0000000000002i−2i00-22i2i2−i2−i2−2−22200000000002−2−i2i200
χ3422-22-2-22-2002-2002-2−2i2i−2i2i0000000000002i−2i00-22−i2−i2i2i222−2−20000000000−22i2−i200
χ3522-22-2-22-2002-2002-2−2i2i−2i2i000000000000−2i2i002-2i2i2−i2−i2−2−2220000000000−22i2−i200
χ3622-22-2-22-2002-2002-2−2i2i−2i2i000000000000−2i2i002-2−i2−i2i2i222−2−200000000002−2−i2i200
χ372-2-2-2222-2222-2-2-2-22000022-2-22-22-2000000000000002i−2i2i−2i000000002i−2i000000
χ382-2-2-2222-2222-2-2-2-22000022-2-22-22-200000000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-2-2222-2222-2-2-2-220000-2-2222-2-22000000000000002i−2i2i−2i00000000−2i2i000000
χ402-2-2-2222-2222-2-2-2-220000-2-2222-2-2200000000000000−2i2i−2i2i000000002i−2i000000
χ412-2-2-2222-222-22-2-22-2000022-2-2-22-2200000000002i−2i2i−2i00000000002i−2i00000000
χ422-2-2-2222-222-22-2-22-2000022-2-2-22-220000000000−2i2i−2i2i0000000000−2i2i00000000
χ432-2-2-2222-222-22-2-22-20000-2-222-222-200000000002i−2i2i−2i0000000000−2i2i00000000
χ442-2-2-2222-222-22-2-22-20000-2-222-222-20000000000−2i2i−2i2i00000000002i−2i00000000
χ4544-44-4-44-400-4400-444i−4i−4i4i000000000000000000000000000000000000000000
χ4644-44-4-44-400-4400-44−4i4i4i−4i000000000000000000000000000000000000000000
χ4744-4-44-4-444-4004-40000000000000004i−4i0000000000000000000000000000000
χ4844-4-44-4-444-4004-4000000000000000−4i4i0000000000000000000000000000000
χ4944-4-44-4-44-4400-440000004i−4i4i−4i00000000000000000000000000000000000000
χ5044-4-44-4-44-4400-44000000−4i4i−4i4i00000000000000000000000000000000000000
χ514-4444-4-4-44-400-44000000000000000000004i−4i00000000000000000000000000
χ524-4444-4-4-44-400-4400000000000000000000−4i4i00000000000000000000000000
χ534-4444-4-4-4-44004-40000004i−4i−4i4i00000000000000000000000000000000000000
χ544-4444-4-4-4-44004-4000000−4i4i4i−4i00000000000000000000000000000000000000
χ554-44-4-4-444004400-4-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ564-44-4-4-444004400-4-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ574-44-4-4-44400-4-40044000000000000000000000022−22−222200000000000000000000
χ584-44-4-4-44400-4-400440000000000000000000000−222222−2200000000000000000000
χ594-4-4-4444-4-4-44-444-4400000000-44000000000000000000000000000000000000
χ604-4-4-4444-4-4-4-44444-4000000004-4000000000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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