Finite Group Databasebeta

← Group #271467

Character table — Group #271467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222444444222444444444888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-11111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11-111-1-1-1-111-1-1-11111-1-1-1-111-11-1-111-1-111-1-11-1
χ6111111111111111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1111111-11-1-1-1-111-1-111-11
χ7111111111111111111111-1-1-1-11-1-1-1-1-1-1-111-1111111-1-1-1-1-1-11-11111-1-1-1-111-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-111-111-1-1-1-11111-1-11-111-1-11111-1-11-1
χ91111111111111111-1-1-1-1111111111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ131111111111111111-1-1-1-11-1-1-1-11-1111111-1-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-11-1111111-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-11111-1-1-1111111-1-1-1-1111-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-11111-1-1-111-1-1-1-11111111-1-1-111-1-111-1-1-11
χ172222222222-2-222-2-22222-222-2-2-2-20022-2-2-2-2200000000000000000000000000
χ182222222222-2-222-2-22222-2-2-222-2200-2-222-2-2-200000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-222-2-2-2-200-2-22222200000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-222-220022-2-222-200000000000000000000000000
χ2122222222-2-222-2-2220000-22222-2-222000000-2220000000000-2-2000000000000
χ2222222222-2-222-2-2220000-22222-2-2-2-2000000-2-2-2000000000022000000000000
χ2322222222-2-222-2-2220000-2-2-2-2-2-22220000002-2-200000000002-2000000000000
χ2422222222-2-222-2-2220000-2-2-2-2-2-22-2-20000002220000000000-22000000000000
χ2522222222-2-2-2-2-2-2-2-20000222-2-22200000000-200000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-20000222-2-22200000000-20000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-200002-2-2222-200000000200000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-200002-2-2222-20000000020000000000-22002-20000000000
χ2922-22-2-22-2002-2002-2000002i−2i2i−2i002-200000002i−2i22−2−2i2i2−i2−i200000000002−2i2−i200
χ3022-22-2-22-2002-2002-2000002i−2i2i−2i002-200000002i−2i−2−222−i2−i2i2i20000000000−22−i2i200
χ3122-22-2-22-2002-2002-2000002i−2i2i−2i00-220000000−2i2i22−2−2i2i2−i2−i20000000000−22−i2i200
χ3222-22-2-22-2002-2002-2000002i−2i2i−2i00-220000000−2i2i−2−222−i2−i2i2i200000000002−2i2−i200
χ3322-22-2-22-2002-2002-200000−2i2i−2i2i002-20000000−2i2i22−2−2−i2−i2i2i200000000002−2−i2i200
χ3422-22-2-22-2002-2002-200000−2i2i−2i2i002-20000000−2i2i−2−222i2i2−i2−i20000000000−22i2−i200
χ3522-22-2-22-2002-2002-200000−2i2i−2i2i00-2200000002i−2i22−2−2−i2−i2i2i20000000000−22i2−i200
χ3622-22-2-22-2002-2002-200000−2i2i−2i2i00-2200000002i−2i−2−222i2i2−i2−i200000000002−2−i2i200
χ372-2-2-2222-22-2222-2-2-222-2-220000-200000002-200000002i−2i2i−2i000000002i−2i000000
χ382-2-2-2222-22-2222-2-2-222-2-220000-200000002-20000000−2i2i−2i2i00000000−2i2i000000
χ392-2-2-2222-22-2222-2-2-2-2-22220000-20000000-2200000002i−2i2i−2i00000000−2i2i000000
χ402-2-2-2222-22-2222-2-2-2-2-22220000-20000000-220000000−2i2i−2i2i000000002i−2i000000
χ412-2-2-2222-22-2-2-22-22222-2-2-2000020000000-220002-22-200000000002-200000000
χ422-2-2-2222-22-2-2-22-22222-2-2-2000020000000-22000-22-220000000000-2200000000
χ432-2-2-2222-22-2-2-22-222-2-222-20000200000002-20002-22-20000000000-2200000000
χ442-2-2-2222-22-2-2-22-222-2-222-20000200000002-2000-22-2200000000002-200000000
χ45444-4-44-4-44400-4-4004-44-4000000000000000000000000000000000000000000
χ46444-4-44-4-44400-4-400-44-44000000000000000000000000000000000000000000
χ47444-4-44-4-4-4-400440000000000000004i−4i0000000000000000000000000000000
χ48444-4-44-4-4-4-40044000000000000000−4i4i0000000000000000000000000000000
χ4944-44-4-44-400-4400-44000004i−4i−4i4i0000000000000000000000000000000000000
χ5044-44-4-44-400-4400-4400000−4i4i4i−4i0000000000000000000000000000000000000
χ514-44-4-4-444004-400-440000000000000000000000000022−22−22220000000000000000
χ524-44-4-4-444004-400-4400000000000000000000000000−222222−220000000000000000
χ534-44-4-4-44400-44004-4000000000000000000000022−22−222200000000000000000000
χ544-44-4-4-44400-44004-40000000000000000000000−222222−2200000000000000000000
χ554-4-44-44-444-400-44004-4-44000000000000000000000000000000000000000000
χ564-4-44-44-444-400-4400-444-4000000000000000000000000000000000000000000
χ574-4-44-44-44-44004-4000000000000000004-400000000000000000000000000000
χ584-4-44-44-44-44004-400000000000000000-4400000000000000000000000000000
χ594-4-4-4444-4-4444-44-4-40000-400004000000000000000000000000000000000000
χ604-4-4-4444-4-44-4-4-4444000040000-4000000000000000000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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