Finite Group Databasebeta

← Group #278554

Character table — Group #278554

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222222244444444444488888888888888888881616161616161616161632323232
order12224444448888222444448888448888888888888888824888888884488
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111111-1-1-1-111111-1-111111111-1-111-1-1-1-1-1-1-1-111
χ6111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ7111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111
χ91111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-111-1-1-1-1-1-1111-1-1-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-11-1-1-1-111-11-11
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
χ131111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11-111-1-111-111-1
χ141111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111111-111-1-111-1-1-1-1-1-1-111111-1-11-1-11
χ151111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-11111-1-11111111-1-1-1-1-1111-1-11
χ161111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-111111111-11-1-111-1-1-111-1
χ17222222-2-2222222-200002-2-222-2-200000000-2002222000000-2-20000000000
χ18222222-2-2222222-200002-2-222-2-200000000-200-2-2-2-2000000220000000000
χ19222222-2-222-2-2-2-2-200002-2-2-2-2220000000020022-2-2000000-220000000000
χ20222222-2-222-2-2-2-2-200002-2-2-2-22200000000200-2-2220000002-20000000000
χ2122222-222-220000-22222-22-20000-2-20022-2-2000000000002-2000000000000
χ2222222-222-220000-22222-22-20000-2-200-2-22200000000000-22000000000000
χ2322222-222-220000-2-2-2-2-2-22-20000220022-2-200000000000-22000000000000
χ2422222-222-220000-2-2-2-2-2-22-200002200-2-222000000000002-2000000000000
χ252222-22222-22222-222-2-2-2-22-2-222-22-2-20000-2220000000000000000000000
χ262222-22222-22222-2-2-222-2-22-2-2222-2220000-2-2-20000000000000000000000
χ272222-22222-2-2-2-2-2-222-2-2-2-2222-2-2-222200002-2-20000000000000000000000
χ282222-22222-2-2-2-2-2-2-2-222-2-2222-2-22-2-2-200002220000000000000000000000
χ292222-22-2-22-2222220000-22-2-2-2-2-200000000200000000000000002i−2i2i−2i0000
χ302222-22-2-22-2222220000-22-2-2-2-2-20000000020000000000000000−2i2i−2i2i0000
χ312222-22-2-22-2-2-2-2-220000-22-2222200000000-200000000000000002i−2i−2i2i0000
χ322222-22-2-22-2-2-2-2-220000-22-2222200000000-20000000000000000−2i2i2i−2i0000
χ332222-2-222-2-20000222-2-22-2-200002-200000000000002i2i−2i−2i00002i−2i00000000
χ342222-2-222-2-20000222-2-22-2-200002-20000000000000−2i−2i2i2i0000−2i2i00000000
χ352222-2-222-2-200002-2-2222-2-20000-2200000000000002i2i−2i−2i0000−2i2i00000000
χ362222-2-222-2-200002-2-2222-2-20000-220000000000000−2i−2i2i2i00002i−2i00000000
χ3744444-4-4-4-44000040000-4-440000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000-400004440000000000000000000000000000000000000
χ3944-4-440000-42222−22−220000000022−2200000022−220000000002-22-200000000000000
χ4044-4-440000-42222−22−220000000022−22000000−2222000000000-22-2200000000000000
χ4144-4-440000-4−22−22222200000000−222200000022−22000000000-22-2200000000000000
χ4244-4-440000-4−22−22222200000000−2222000000−22220000000002-22-200000000000000
χ4344-4-4-4000042222−22−2200000000−2222000000002i2−2i200000002i−2i−2i2i00000000000000
χ4444-4-4-4000042222−22−2200000000−222200000000−2i22i20000000−2i2i2i−2i00000000000000
χ4544-4-4-400004−22−2222220000000022−22000000002i2−2i20000000−2i2i2i−2i00000000000000
χ4644-4-4-400004−22−2222220000000022−2200000000−2i22i200000002i−2i−2i2i00000000000000
χ474-44-4004-4002i2−2i22i2−2i20004i−4i000002i2−2i20022−2200000000000000000000000000000
χ484-44-4004-4002i2−2i22i2−2i2000−4i4i000002i2−2i200−222200000000000000000000000000000
χ494-44-4004-400−2i22i2−2i22i20004i−4i00000−2i22i200−222200000000000000000000000000000
χ504-44-4004-400−2i22i2−2i22i2000−4i4i00000−2i22i20022−2200000000000000000000000000000
χ514-44-400-44002i2−2i22i2−2i204-40000000−2i22i20000000002i2−2i20000000000000000000000
χ524-44-400-44002i2−2i22i2−2i20-440000000−2i22i2000000000−2i22i20000000000000000000000
χ534-44-400-4400−2i22i2−2i22i204-400000002i2−2i2000000000−2i22i20000000000000000000000
χ544-44-400-4400−2i22i2−2i22i20-4400000002i2−2i20000000002i2−2i20000000000000000000000
χ554-4-440400-404i−4i−4i4i000000000000000000000002i2−2i222−22000000000000000000
χ564-4-440400-404i−4i−4i4i00000000000000000000000−2i22i2−2222000000000000000000
χ574-4-440400-40−4i4i4i−4i000000000000000000000002i2−2i2−2222000000000000000000
χ584-4-440400-40−4i4i4i−4i00000000000000000000000−2i22i222−22000000000000000000
χ598-8-880-800800000000000000000000000000000000000000000000000000

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