Finite Group Databasebeta

← Group #278549

Character table — Group #278549

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222222244444444444488888888888888888881616161616161616161632323232
order12224444448888244444448888248888888888888888824888888882488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-11-1-111111-1-111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-111
χ61111111111111111-1-11-1-111111-1-111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ71111111111111111-1-11-1-111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ81111111111111111-1-11-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ91111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-11-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-1-111-11-11
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1111-111-1-1-11-11
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-1-1111-11-1
χ131111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1111-1-1-111-111-1
χ141111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1111-1-11-1-11
χ151111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-11-1-1-1111-1-11
χ161111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-1111-1-1-111-1
χ17222222-2-2222222-2-222-2-2-2222-2-22-200-2-2-222000000000000000000000000
χ18222222-2-2222222-2-2-2-2-222222-2-2-220022-2-2-2000000000000000000000000
χ19222222-2-222-2-2-2-2-2-222-2-2-22-2-2222-200222-2-2000000000000000000000000
χ20222222-2-222-2-2-2-2-2-2-2-2-2222-2-222-2200-2-2222000000000000000000000000
χ2122222-222-220000-2222-222-20000-2-222000000000-2-20000-22000000000000
χ2222222-222-220000-2222-222-20000-2-2-2-20000000002200002-2000000000000
χ2322222-222-220000-22-2-2-2-2-2-200002222000000000-2-200002-2000000000000
χ2422222-222-220000-22-2-2-2-2-2-2000022-2-2000000000220000-22000000000000
χ2522222-2-2-2-2200002-2222-2-2-20000-2200000000000002i2i−2i−2i002i−2i0000000000
χ2622222-2-2-2-2200002-2222-2-2-20000-220000000000000−2i−2i2i2i00−2i2i0000000000
χ2722222-2-2-2-2200002-2-2-2222-200002-200000000000002i2i−2i−2i00−2i2i0000000000
χ2822222-2-2-2-2200002-2-2-2222-200002-20000000000000−2i−2i2i2i002i−2i0000000000
χ292222-22222-22222-2-200200-2-2-222000000-20022220000000000-2-200000000
χ302222-22222-22222-2-200200-2-2-222000000-200-2-2-2-200000000002200000000
χ312222-22222-2-2-2-2-2-2-200200-222-2-200000020022-2-20000000000-2200000000
χ322222-22222-2-2-2-2-2-2-200200-222-2-2000000200-2-22200000000002-200000000
χ332222-22-2-22-222222200-200-2-2-2-2-200000020000000000000000002i−2i2i−2i0000
χ342222-22-2-22-222222200-200-2-2-2-2-20000002000000000000000000−2i2i−2i2i0000
χ352222-22-2-22-2-2-2-2-22200-200-22222000000-20000000000000000002i−2i−2i2i0000
χ362222-22-2-22-2-2-2-2-22200-200-22222000000-2000000000000000000−2i2i2i−2i0000
χ374444-4-444-4-400004-400-40040000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000-440040040000000000000000000000000000000000000
χ3944-4-4004-4002i22i2−2i2−2i200000000002i2−2i200000000000002i2−2i22-22-200000000000000
χ4044-4-4004-4002i22i2−2i2−2i200000000002i2−2i20000000000000−2i22i2-22-2200000000000000
χ4144-4-4004-400−2i2−2i22i22i20000000000−2i22i200000000000002i2−2i2-22-2200000000000000
χ4244-4-4004-400−2i2−2i22i22i20000000000−2i22i20000000000000−2i22i22-22-200000000000000
χ4344-4-400-44002i22i2−2i2−2i20000000000−2i22i20022−22000000000002i−2i−2i2i00000000000000
χ4444-4-400-44002i22i2−2i2−2i20000000000−2i22i200−222200000000000−2i2i2i−2i00000000000000
χ4544-4-400-4400−2i2−2i22i22i200000000002i2−2i20022−2200000000000−2i2i2i−2i00000000000000
χ4644-4-400-4400−2i2−2i22i22i200000000002i2−2i200−2222000000000002i−2i−2i2i00000000000000
χ474-44-40400-404i−4i4i−4i00000000000000000000022−222i2−2i200000000000000000000
χ484-44-40400-404i−4i4i−4i000000000000000000000−2222−2i22i200000000000000000000
χ494-44-40400-40−4i4i−4i4i00000000000000000000022−22−2i22i200000000000000000000
χ504-44-40400-40−4i4i−4i4i000000000000000000000−22222i2−2i200000000000000000000
χ514-4-4440000-422−22−2222004i−4i000022−220000000002i2−2i2000000000000000000000000
χ524-4-4440000-422−22−222200−4i4i000022−22000000000−2i22i2000000000000000000000000
χ534-4-4440000-4−222222−22004i−4i0000−2222000000000−2i22i2000000000000000000000000
χ544-4-4440000-4−222222−2200−4i4i0000−22220000000002i2−2i2000000000000000000000000
χ554-4-44-40000422−22−2222000004-40−222200000022−22000000000000000000000000000
χ564-4-44-40000422−22−222200000-440−2222000000−2222000000000000000000000000000
χ574-4-44-400004−222222−22000004-4022−22000000−2222000000000000000000000000000
χ584-4-44-400004−222222−2200000-44022−2200000022−22000000000000000000000000000
χ598-88-80-800800000000000000000000000000000000000000000000000000

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