Finite Group Databasebeta

← Group #294846

Character table — Group #294846

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444444888888884444448888888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ111111111111111111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-11
χ121111111111111111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-11111-1-1-111-1-11111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-11111-1-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ172222222222-2-222-2-2222222-2-2-2-2222-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2-2-22-2-222-2220000000000000000000000000000
χ192222222222-2-222-2-2-2-2222222-2-2-2-2-2222-2-20000000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-222-2-2-222-2-22220000000000000000000000000000
χ2122222222-2-222-2-22222000022-2-2-20000-200222200000000-2-200000000000000
χ2222222222-2-222-2-22222000022-2-2-20000-200-2-2-2-2000000002200000000000000
χ2322222222-2-222-2-222-2-20000-2-2-2-22000020022-2-200000000-2200000000000000
χ2422222222-2-222-2-222-2-20000-2-2-2-220000200-2-222000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-2220000-2-222-20000200000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2220000-2-222-2000020000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-20000222220000-200000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-20000222220000-20000000000000000-222-20000000000
χ2922-2-2-22-22002200-2-22-200002-200000000002i−2i2i−2i22−2−222−2−20000000000i2−i2i2−i200
χ3022-2-2-22-22002200-2-22-200002-200000000002i−2i2i−2i−2−222−2−2220000000000−i2i2−i2i200
χ3122-2-2-22-22002200-2-22-200002-20000000000−2i2i−2i2i22−2−222−2−20000000000−i2i2−i2i200
χ3222-2-2-22-22002200-2-22-200002-20000000000−2i2i−2i2i−2−222−2−2220000000000i2−i2i2−i200
χ3322-2-2-22-22002200-2-2-220000-2200000000002i−2i−2i2i22−2−2−2−2220000000000i2−i2−i2i200
χ3422-2-2-22-22002200-2-2-220000-2200000000002i−2i−2i2i−2−22222−2−20000000000−i2i2i2−i200
χ3522-2-2-22-22002200-2-2-220000-220000000000−2i2i2i−2i22−2−2−2−2220000000000−i2i2i2−i200
χ3622-2-2-22-22002200-2-2-220000-220000000000−2i2i2i−2i−2−22222−2−20000000000i2−i2−i2i200
χ372-222-2-2-22222-2-2-22-2002i2i−2i−2i002-20000002i−2i000000002-22-2000000002i−2i000000
χ382-222-2-2-22222-2-2-22-2002i2i−2i−2i002-20000002i−2i00000000-22-2200000000−2i2i000000
χ392-222-2-2-22222-2-2-22-200−2i−2i2i2i002-2000000−2i2i000000002-22-200000000−2i2i000000
χ402-222-2-2-22222-2-2-22-200−2i−2i2i2i002-2000000−2i2i00000000-22-22000000002i−2i000000
χ412-222-2-2-2222-22-2-2-22002i2i−2i−2i00-22000000−2i2i00002-22-200000000002i−2i00000000
χ422-222-2-2-2222-22-2-2-22002i2i−2i−2i00-22000000−2i2i0000-22-220000000000−2i2i00000000
χ432-222-2-2-2222-22-2-2-2200−2i−2i2i2i00-220000002i−2i00002-22-20000000000−2i2i00000000
χ442-222-2-2-2222-22-2-2-2200−2i−2i2i2i00-220000002i−2i0000-22-2200000000002i−2i00000000
χ45444-44-4-4-44-4004-400000000000004-4000000000000000000000000000000000
χ46444-44-4-4-44-4004-40000000000000-44000000000000000000000000000000000
χ47444-44-4-4-4-4400-4400004-44-40000000000000000000000000000000000000000
χ48444-44-4-4-4-4400-440000-44-440000000000000000000000000000000000000000
χ4944-4-4-44-4400-4-400444-40000-4400000000000000000000000000000000000000
χ5044-4-4-44-4400-4-40044-4400004-400000000000000000000000000000000000000
χ514-444-4-4-44-4-44-4444-400000000-44000000000000000000000000000000000000
χ524-444-4-4-44-4-4-4444-44000000004-4000000000000000000000000000000000000
χ534-44-4-444-44-400-440000000000000004i−4i0000000000000000000000000000000
χ544-44-4-444-44-400-44000000000000000−4i4i0000000000000000000000000000000
χ554-44-4-444-4-44004-400004i−4i−4i4i0000000000000000000000000000000000000000
χ564-44-4-444-4-44004-40000−4i4i4i−4i0000000000000000000000000000000000000000
χ574-4-4-44-444004-400-440000000000000000000000000022−22−22220000000000000000
χ584-4-4-44-444004-400-4400000000000000000000000000−222222−220000000000000000
χ594-4-4-44-44400-44004-4000000000000000000000022−22−222200000000000000000000
χ604-4-4-44-44400-44004-40000000000000000000000−222222−2200000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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