Finite Group Databasebeta

← Group #278552

Character table — Group #278552

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222222244444444444488888888888888888881616161616161616161632323232
order12224444448888244444448888248888888888888888824888888884488
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-11-1-111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1-1-111
χ61111111111111111-1-11-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1
χ71111111111111111-1-11-1-111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1
χ81111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-111
χ91111111111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-111-1-11-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1111-111-1-1-11-11
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11-1-111-11-11
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-111-11-1-1111-11-1
χ131111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-1111-1-1-111-111-1
χ141111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-11-1-1-1111-1-11
χ151111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-111-1-1111111-111-1-1-1-1-1-111-1111-1-11-1-11
χ161111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1-1-111111111-1-1-1111-1-1-111-1
χ17222222-2-2222222-2200-200-222-2-2000022220000-20000000000-2-200000000
χ18222222-2-2222222-2200-200-222-2-20000-2-2-2-20000-200000000002200000000
χ19222222-2-222-2-2-2-2-2200-200-2-2-222000022-2-2000020000000000-2200000000
χ20222222-2-222-2-2-2-2-2200-200-2-2-2220000-2-2220000200000000002-200000000
χ2122222-222-220000-2-222222-20000-2-200000022-2-200000002-2000000000000
χ2222222-222-220000-2-222222-20000-2-2000000-2-2220000000-22000000000000
χ2322222-222-220000-2-2-2-22-2-2-200002200000022-2-20000000-22000000000000
χ2422222-222-220000-2-2-2-22-2-2-2000022000000-2-22200000002-2000000000000
χ252222-22222-22222-2-222-2-2-22-2-222-222200000000-2-2-2000000000000000000
χ262222-22222-22222-2-2-2-2-2222-2-2222-2-2-200000000-222000000000000000000
χ272222-22222-2-2-2-2-2-2-222-2-2-2222-2-2-22-2-200000000222000000000000000000
χ282222-22222-2-2-2-2-2-2-2-2-2-222222-2-22-222000000002-2-2000000000000000000
χ292222-22-2-22-222222-200200-2-2-2-2-200000000000020000000000002i−2i2i−2i0000
χ302222-22-2-22-222222-200200-2-2-2-2-20000000000002000000000000−2i2i−2i2i0000
χ312222-22-2-22-2-2-2-2-22-200200-22222000000000000-20000000000002i−2i−2i2i0000
χ322222-22-2-22-2-2-2-2-22-200200-22222000000000000-2000000000000−2i2i2i−2i0000
χ332222-2-222-2-200002222-2-2-2-200002-200000000000002i2i−2i−2i002i−2i0000000000
χ342222-2-222-2-200002222-2-2-2-200002-20000000000000−2i−2i2i2i00−2i2i0000000000
χ352222-2-222-2-2000022-2-2-222-20000-2200000000000002i2i−2i−2i00−2i2i0000000000
χ362222-2-222-2-2000022-2-2-222-20000-220000000000000−2i−2i2i2i002i−2i0000000000
χ3744444-4-4-4-4400004-400-40040000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000-440040040000000000000000000000000000000000000
χ3944-4-440000-42222−22−220000000022−2200000000000022−220002-22-200000000000000
χ4044-4-440000-42222−22−220000000022−22000000000000−2222000-22-2200000000000000
χ4144-4-440000-4−22−22222200000000−222200000000000022−22000-22-2200000000000000
χ4244-4-440000-4−22−22222200000000−2222000000000000−22220002-22-200000000000000
χ4344-4-4-4000042222−22−2200000000−222200000000002i2−2i2000002i−2i−2i2i00000000000000
χ4444-4-4-4000042222−22−2200000000−22220000000000−2i22i200000−2i2i2i−2i00000000000000
χ4544-4-4-400004−22−2222220000000022−2200000000002i2−2i200000−2i2i2i−2i00000000000000
χ4644-4-4-400004−22−2222220000000022−220000000000−2i22i2000002i−2i−2i2i00000000000000
χ474-44-4004-4002i2−2i22i2−2i2000004i−4i0002i2−2i2000000000000022−22000000000000000000
χ484-44-4004-4002i2−2i22i2−2i200000−4i4i0002i2−2i20000000000000−2222000000000000000000
χ494-44-4004-400−2i22i2−2i22i2000004i−4i000−2i22i20000000000000−2222000000000000000000
χ504-44-4004-400−2i22i2−2i22i200000−4i4i000−2i22i2000000000000022−22000000000000000000
χ514-44-400-44002i2−2i22i2−2i2004-4000000−2i22i2002i2−2i200000000000000000000000000000
χ524-44-400-44002i2−2i22i2−2i200-44000000−2i22i200−2i22i200000000000000000000000000000
χ534-44-400-4400−2i22i2−2i22i2004-40000002i2−2i200−2i22i200000000000000000000000000000
χ544-44-400-4400−2i22i2−2i22i200-440000002i2−2i2002i2−2i200000000000000000000000000000
χ554-4-440400-404i−4i−4i4i00000000000000002i2−2i222−220000000000000000000000000
χ564-4-440400-404i−4i−4i4i0000000000000000−2i22i2−22220000000000000000000000000
χ574-4-440400-40−4i4i4i−4i00000000000000002i2−2i2−22220000000000000000000000000
χ584-4-440400-40−4i4i4i−4i0000000000000000−2i22i222−220000000000000000000000000
χ598-8-880-800800000000000000000000000000000000000000000000000000

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