Finite Group Databasebeta

← Group #278527

Character table — Group #278527

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222222244444444444488888888888888888881616161616161616161632323232
order12224444448888222444448888448888888888888888824888888882288
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11-1-1111111-1-111-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ6111111111111111-1-11-1-1111111-1-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ7111111111111111-1-11-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111-1-11-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111
χ91111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-11-1-1-1-111-11-11
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11-11111-1-1-11-11
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1111-11-1
χ131111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-11-111-1-111-111-1
χ141111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-111111-1-11-1-11
χ151111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111-111-1-111-1-11111111-1-1-1-1-1111-1-11
χ161111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111-111-1-1-1-111111111-11-1-111-1-1-111-1
χ17222222-2-2220000-222-2222-20000-2-22200000-2-200000000-22000000000000
χ18222222-2-2220000-222-2222-20000-2-2-2-20000022000000002-2000000000000
χ19222222-2-2220000-2-2-2-2-2-22-20000222200000-2-2000000002-2000000000000
χ20222222-2-2220000-2-2-2-2-2-22-2000022-2-2000002200000000-22000000000000
χ2122222-2222-22222-222-2-2-2-2222-2-2-2200-2-2-222000000000000000000000000
χ2222222-2222-22222-2-2-2-222-2222-2-22-20022-2-2-2000000000000000000000000
χ2322222-2222-2-2-2-2-2-222-2-2-2-22-2-222-2200222-2-2000000000000000000000000
χ2422222-2222-2-2-2-2-2-2-2-2-222-22-2-2222-200-2-2222000000000000000000000000
χ2522222-2-2-22-200002222-2-2-2-200002-200000000000002i2i−2i−2i00002i−2i00000000
χ2622222-2-2-22-200002222-2-2-2-200002-20000000000000−2i−2i2i2i0000−2i2i00000000
χ2722222-2-2-22-200002-2-2222-2-20000-2200000000000002i2i−2i−2i0000−2i2i00000000
χ2822222-2-2-22-200002-2-2222-2-20000-220000000000000−2i−2i2i2i00002i−2i00000000
χ292222-2222-222222-200200-2-2-2-222000000-200002222000000-2-20000000000
χ302222-2222-222222-200200-2-2-2-222000000-20000-2-2-2-2000000220000000000
χ312222-2222-22-2-2-2-2-200200-2-222-2-20000002000022-2-2000000-220000000000
χ322222-2222-22-2-2-2-2-200200-2-222-2-200000020000-2-2220000002-20000000000
χ332222-2-222-2-22222200-2002-2-2-2-2-200000020000000000000000002i−2i2i−2i0000
χ342222-2-222-2-22222200-2002-2-2-2-2-20000002000000000000000000−2i2i−2i2i0000
χ352222-2-222-2-2-2-2-2-2200-2002-22222000000-20000000000000000002i−2i−2i2i0000
χ362222-2-222-2-2-2-2-2-2200-2002-22222000000-2000000000000000000−2i2i2i−2i0000
χ374444-44-4-4-440000400-400-440000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000-400400440000000000000000000000000000000000000
χ3944-4-404000-42222−22−22000000000022−22002i2−2i2000000000002i−2i2i−2i00000000000000
χ4044-4-404000-42222−22−22000000000022−2200−2i22i200000000000−2i2i−2i2i00000000000000
χ4144-4-404000-4−22−2222220000000000−2222002i2−2i200000000000−2i2i−2i2i00000000000000
χ4244-4-404000-4−22−2222220000000000−222200−2i22i2000000000002i−2i2i−2i00000000000000
χ4344-4-40-400042222−22−220000000000−222200000000022−2200002-2-2200000000000000
χ4444-4-40-400042222−22−220000000000−2222000000000−22220000-222-200000000000000
χ4544-4-40-40004−22−222222000000000022−2200000000022−220000-222-200000000000000
χ4644-4-40-40004−22−222222000000000022−22000000000−222200002-2-2200000000000000
χ474-44-44000-4022−2222−2200004i−4i0022−220000002i2−2i2000000000000000000000000000
χ484-44-44000-4022−2222−220000−4i4i0022−22000000−2i22i2000000000000000000000000000
χ494-44-44000-40−2222−222200004i−4i00−2222000000−2i22i2000000000000000000000000000
χ504-44-44000-40−2222−22220000−4i4i00−22220000002i2−2i2000000000000000000000000000
χ514-44-4-40004022−2222−2204-400000−222200000000022−22000000000000000000000000
χ524-44-4-40004022−2222−220-4400000−2222000000000−2222000000000000000000000000
χ534-44-4-400040−2222−222204-40000022−22000000000−2222000000000000000000000000
χ544-44-4-400040−2222−22220-440000022−2200000000022−22000000000000000000000000
χ554-4-4400-44004-4-440000000000000000000000022−2222−22000000000000000000
χ564-4-4400-44004-4-4400000000000000000000000−2222−2222000000000000000000
χ574-4-4400-4400-444-40000000000000000000000022−22−2222000000000000000000
χ584-4-4400-4400-444-400000000000000000000000−222222−22000000000000000000
χ598-8-88008-8000000000000000000000000000000000000000000000000000

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