Finite Group Databasebeta

← Group #296986

Character table — Group #296986

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444444442244444444888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-11111-1-1
χ51111111111111111111111-1-1111-1-11111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111111
χ71111111111111111111111-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ81111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111
χ91111111111111111-1-1-1-11111-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-11-1
χ101111111111111111-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1111-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-111-1-1-11
χ131111111111111111-1-1-1-111-1-1-11111-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-111-11
χ141111111111111111-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1111-1-1111-1
χ172222222222-2-222-2-22222-2-222-20022-2000000000000000000-2000-2000000000
χ182222222222-2-222-2-22222-2-2-2-2-200-2-2-200000000000000000020002000000000
χ192222222222-2-222-2-2-2-2-2-2-2-222200-2-220000000000000000002000-2000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-2200222000000000000000000-20002000000000
χ2122222222-2-222-2-22222-2-2-2-20022200-2-2-2000000000000000002000-200000000
χ2222222222-2-222-2-22222-2-2-2-2002-2-200-22200000000000000000-2000200000000
χ2322222222-2-222-2-222-2-222-2-200-222002-2-200000000000000000-2000200000000
χ2422222222-2-222-2-222-2-222-2-200-2-2-200222000000000000000002000-200000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-200002000000000000000000002-2002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-20000200000000000000000000-2200-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220020000-2000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220020000-200000000000000000000-22002-2000000
χ29222-2-2-22-22-2-2-22-22200002-20002i−2i0002i−2i00002i2i−2i−2i000022-2-200000000000000
χ30222-2-2-22-22-2-2-22-22200002-20002i−2i0002i−2i0000−2i−2i2i2i0000-2-22200000000000000
χ31222-2-2-22-22-2-2-22-22200002-2000−2i2i000−2i2i00002i2i−2i−2i0000-2-22200000000000000
χ32222-2-2-22-22-2-2-22-22200002-2000−2i2i000−2i2i0000−2i−2i2i2i000022-2-200000000000000
χ33222-2-2-22-2-22-2-2-22220000-220002i−2i000−2i2i2i2i−2i−2i000022-2-2000000000000000000
χ34222-2-2-22-2-22-2-2-22220000-220002i−2i000−2i2i−2i−2i2i2i0000-2-222000000000000000000
χ35222-2-2-22-2-22-2-2-22220000-22000−2i2i0002i−2i2i2i−2i−2i0000-2-222000000000000000000
χ36222-2-2-22-2-22-2-2-22220000-22000−2i2i0002i−2i−2i−2i2i2i000022-2-2000000000000000000
χ3722-22-2-2-222-200-22002i−2i2i−2i002-20002i−2i00000000000i2−i2i2−i22−22−200000000i2−i22−200
χ3822-22-2-2-222-200-22002i−2i2i−2i002-20002i−2i00000000000−i2i2−i2i2−22−2200000000−i2i2−2200
χ3922-22-2-2-222-200-22002i−2i2i−2i00-22000−2i2i00000000000i2−i2i2−i22−22−200000000−i2i2−2200
χ4022-22-2-2-222-200-22002i−2i2i−2i00-22000−2i2i00000000000−i2i2−i2i2−22−2200000000i2−i22−200
χ4122-22-2-2-222-200-2200−2i2i−2i2i002-2000−2i2i00000000000i2−i2i2−i2−22−2200000000i2−i2−2200
χ4222-22-2-2-222-200-2200−2i2i−2i2i002-2000−2i2i00000000000−i2i2−i2i22−22−200000000−i2i22−200
χ4322-22-2-2-222-200-2200−2i2i−2i2i00-220002i−2i00000000000i2−i2i2−i2−22−2200000000−i2i22−200
χ4422-22-2-2-222-200-2200−2i2i−2i2i00-220002i−2i00000000000−i2i2−i2i22−22−200000000i2−i2−2200
χ45444-4-4-44-44-4444-4-4-40000-440000000000000000000000000000000000000000
χ46444-4-4-44-4-4444-44-4-400004-40000000000000000000000000000000000000000
χ4744-44-4-4-44-44004-4004i−4i−4i4i000000000000000000000000000000000000000000
χ4844-44-4-4-44-44004-400−4i4i4i−4i000000000000000000000000000000000000000000
χ4944-4-444-4-44400-4-400000000000000000000000000000022−22−222200000000000000
χ5044-4-444-4-44400-4-4000000000000000000000000000000−222222−2200000000000000
χ5144-4-444-4-4-4-40044000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-444-4-4-4-4004400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4-444-44-4004-4004-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ544-4-444-44-4004-4004-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ554-4-444-44-400-4400-4400000000000000002i2−2i22i2−2i200000000000000000000000000
χ564-4-444-44-400-4400-440000000000000000−2i22i2−2i22i200000000000000000000000000
χ574-4-4-4-4444004-400-44000000000000000022−22−222200000000000000000000000000
χ584-4-4-4-4444004-400-440000000000000000−222222−2200000000000000000000000000
χ594-4-4-4-444400-44004-40000000000000000000022−22−22220000000000000000000000
χ604-4-4-4-444400-44004-400000000000000000000−222222−220000000000000000000000
χ618-888-88-8-8000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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