Finite Group Databasebeta

← Group #247346

Character table — Group #247346

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442244444444442222444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-111111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111
χ91111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111111-1-1-1-1-1-11-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-11111111-1-1-111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111111-1-1-1-111-1111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1111-1-11111-1-111-1-1
χ172222222222-2-2-222-222220000-2-2-2-2000022-222000000000000-200-2000000000000
χ182222222222-2-2-222-222220000-2-2-2-20000-2-2-2-2-20000000000002002000000000000
χ192222222222-2-2-222-2-2-2-2-2000022-2-20000222-2-2000000000000-2002000000000000
χ202222222222-2-2-222-2-2-2-2-2000022-2-20000-2-2222000000000000200-2000000000000
χ2122222222-2-2222-2-2222-2-2222222-2-2-2-2-2-200-2002200000000000000000000000000
χ2222222222-2-2222-2-2222-2-2-2-2-2-222-2-2222200-200-2-200000000000000000000000000
χ2322222222-2-2222-2-22-2-2222222-2-2-2-2-2-22200200-2-200000000000000000000000000
χ2422222222-2-2222-2-22-2-222-2-2-2-2-2-2-2-222-2-2002002200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-20000-2-22200000020000000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-20000-2-2220000002000000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200002222000000-20000000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002222000000-2000000000000000-2202-20000000000
χ2922-2-22-2-220022-200-22-2002i2i−2i−2i2-2000000000002i−2i22−2−222−2−20000000000i2−i2i2−i20000
χ3022-2-22-2-220022-200-22-2002i2i−2i−2i2-2000000000002i−2i−2−222−2−2220000000000−i2i2−i2i20000
χ3122-2-22-2-220022-200-22-200−2i−2i2i2i2-200000000000−2i2i22−2−222−2−20000000000−i2i2−i2i20000
χ3222-2-22-2-220022-200-22-200−2i−2i2i2i2-200000000000−2i2i−2−222−2−2220000000000i2−i2i2−i20000
χ3322-2-22-2-220022-200-2-22002i2i−2i−2i-2200000000000−2i2i22−2−2−2−2220000000000i2−i2−i2i20000
χ3422-2-22-2-220022-200-2-22002i2i−2i−2i-2200000000000−2i2i−2−22222−2−20000000000−i2i2i2−i20000
χ3522-2-22-2-220022-200-2-2200−2i−2i2i2i-22000000000002i−2i22−2−2−2−2220000000000−i2i2i2−i20000
χ3622-2-22-2-220022-200-2-2200−2i−2i2i2i-22000000000002i−2i−2−22222−2−20000000000i2−i2−i2i20000
χ372-2-2-2-22222-22-2-22-2200002-22-2002-22-200000000000000000000000002-20000002-2
χ382-2-2-2-22222-22-2-22-2200002-22-2002-22-20000000000000000000000000-22000000-22
χ392-2-2-2-22222-22-2-22-220000-22-22002-2-2200000000000000000000000002-2000000-22
χ402-2-2-2-22222-22-2-22-220000-22-22002-2-220000000000000000000000000-220000002-2
χ412-2-2-2-2222-222-2-2-22200002-22-200-22-22000000000000000002-20000000000002-200
χ422-2-2-2-2222-222-2-2-22200002-22-200-22-2200000000000000000-22000000000000-2200
χ432-2-2-2-2222-222-2-2-2220000-22-2200-222-2000000000000000002-2000000000000-2200
χ442-2-2-2-2222-222-2-2-2220000-22-2200-222-200000000000000000-220000000000002-200
χ45444-4-4-44-44-4000-44000000000000000004i−4i0000000000000000000000000000000
χ46444-4-4-44-44-4000-4400000000000000000−4i4i0000000000000000000000000000000
χ47444-4-4-44-4-440004-4000000000000000000004i−4i0000000000000000000000000000
χ48444-4-4-44-4-440004-400000000000000000000−4i4i0000000000000000000000000000
χ4944-4-44-4-4400-4-440044-4000000-44000000000000000000000000000000000000000
χ5044-4-44-4-4400-4-44004-440000004-4000000000000000000000000000000000000000
χ514-444-4-4-44004-4400-400004i−4i−4i4i00000000000000000000000000000000000000000
χ524-444-4-4-44004-4400-40000−4i4i4i−4i00000000000000000000000000000000000000000
χ534-444-4-4-4400-44-4004000000000000004-4000000000000000000000000000000000
χ544-444-4-4-4400-44-400400000000000000-44000000000000000000000000000000000
χ554-44-444-4-400000000004i−4i00000000000000000002-22-22i−2i2i−2i000000000000000000
χ564-44-444-4-400000000004i−4i0000000000000000000-22-22−2i2i−2i2i000000000000000000
χ574-44-444-4-40000000000−4i4i00000000000000000002-22-2−2i2i−2i2i000000000000000000
χ584-44-444-4-40000000000−4i4i0000000000000000000-22-222i−2i2i−2i000000000000000000
χ594-4-444-44-444000-4-400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-4-444-44-444000-4-40000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ614-4-444-44-4-4-40004400000000000000000000000022−22−22220000000000000000000000
χ624-4-444-44-4-4-400044000000000000000000000000−222222−220000000000000000000000
χ634-4-4-4-44444-4-4444-4-40000000000-440000000000000000000000000000000000000
χ644-4-4-4-4444-44-444-44-400000000004-40000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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