Finite Group Databasebeta

← Group #277570

Character table — Group #277570

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-11-1
χ91111111111111111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-11-1-11-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-111-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1111-1-1-1-111-1-1-11
χ172222222222-2-222-2-20000-2-22222002222-2-200000000000000-200-20000000000
χ182222222222-2-222-2-20000-2-2222200-2-2-2-2-2-20000000000000020020000000000
χ192222222222-2-222-2-20000-2-2-2-2-2-20022-2-22200000000000000-20020000000000
χ202222222222-2-222-2-20000-2-2-2-2-2-200-2-2222200000000000000200-20000000000
χ2122222222-2-222-2-2222222-2-20000-2-2000000000022-2-200002-200000000000000
χ2222222222-2-222-2-2222222-2-20000-2-20000000000-2-2220000-2200000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-2000022000000000022-2-20000-2200000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000220000000000-2-22200002-200000000000000
χ252-2-2222-2-222-2-2-2-22222-2-22-200002-2000000000000002i2i−2i−2i000000002i−2i000000
χ262-2-2222-2-222-2-2-2-22222-2-22-200002-200000000000000−2i−2i2i2i00000000−2i2i000000
χ272-2-2222-2-222-2-2-2-222-2-2222-20000-22000000000000002i2i−2i−2i00000000−2i2i000000
χ282-2-2222-2-222-2-2-2-222-2-2222-20000-2200000000000000−2i−2i2i2i000000002i−2i000000
χ292-2-2222-2-2-2-22222-2-200002-222-2-20000002-20000000000000002i−2i02i−2i00000000
χ302-2-2222-2-2-2-22222-2-200002-222-2-20000002-2000000000000000−2i2i0−2i2i00000000
χ312-2-2222-2-2-2-22222-2-200002-2-2-222000000-220000000000000002i−2i0−2i2i00000000
χ322-2-2222-2-2-2-22222-2-200002-2-2-222000000-22000000000000000−2i2i02i−2i00000000
χ332-2-2222-2-2-2-2-2-2222222-2-2-2222-2-2-220000-2222-2-2000000000000000000000000
χ342-2-2222-2-2-2-2-2-2222222-2-2-22-2-222-2200002-2-2-222000000000000000000000000
χ352-2-2222-2-2-2-2-2-22222-2-222-2222-2-22-20000-22-2-222000000000000000000000000
χ362-2-2222-2-2-2-2-2-22222-2-222-22-2-2222-200002-222-2-2000000000000000000000000
χ3744444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ384444-4-4-4-4004-4004-400000000000000000022−2222−22000000000000000000000000
χ394444-4-4-4-4004-4004-4000000000000000000−2222−2222000000000000000000000000
χ404444-4-4-4-400-4400-444-44-4000000000000000000000000000000000000000000
χ414444-4-4-4-400-4400-44-44-44000000000000000000000000000000000000000000
χ4244-4-44-44-4000000000000002i2−2i22i2−2i200000000000022−22002i−2i2i−2i0000000000000000
χ4344-4-44-44-4000000000000002i2−2i22i2−2i2000000000000−222200−2i2i−2i2i0000000000000000
χ4444-4-44-44-400000000000000−2i22i2−2i22i200000000000022−2200−2i2i−2i2i0000000000000000
χ4544-4-44-44-400000000000000−2i22i2−2i22i2000000000000−2222002i−2i2i−2i0000000000000000
χ4644-4-4-44-444-4004-40000000000000000000000000000000000000000002i2−2i20000
χ4744-4-4-44-444-4004-4000000000000000000000000000000000000000000−2i22i20000
χ4844-4-4-44-44-4400-44000000000000004i−4i00000000000000000000000000000000
χ4944-4-4-44-44-4400-4400000000000000−4i4i00000000000000000000000000000000
χ504-44-44-4-44000000000000002i2−2i2−2i22i2000000000000002i2−2i22-2-220000000000000000
χ514-44-44-4-44000000000000002i2−2i2−2i22i200000000000000−2i22i2-222-20000000000000000
χ524-44-44-4-4400000000000000−2i22i22i2−2i2000000000000002i2−2i2-222-20000000000000000
χ534-44-44-4-4400000000000000−2i22i22i2−2i200000000000000−2i22i22-2-220000000000000000
χ544-44-4-444-44-400-4400000000000000004i−4i000000000000000000000000000000
χ554-44-4-444-44-400-440000000000000000−4i4i000000000000000000000000000000
χ564-44-4-444-4-44004-4000000000000000000000000000000000000000000002i2−2i200
χ574-44-4-444-4-44004-400000000000000000000000000000000000000000000−2i22i200
χ584-4-4444-4-44444-4-4-4-40000-440000000000000000000000000000000000000000
χ594-4-44-4-444004-400-444-4-44000000000000000000000000000000000000000000
χ604-4-44-4-444004-400-44-444-4000000000000000000000000000000000000000000
χ614-4-44-4-44400-44004-400000000000000000022−22−2222000000000000000000000000
χ624-4-44-4-44400-44004-4000000000000000000−222222−22000000000000000000000000

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