Finite Group Databasebeta

← Group #296982

Character table — Group #296982

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
χ31111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1
χ51111111111111111111111-1-111-1-111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111
χ71111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ91111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-11-1
χ101111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-111-1-1-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-1111-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-11111-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1111-1-1-1-1111-1
χ172222222222-2-222-2-22222-2-222-2-22200000000000000000000-20-200000000000
χ182222222222-2-222-2-22222-2-2-2-2-2-2-2-20000000000000000000020200000000000
χ192222222222-2-222-2-2-2-2-2-2-2-22222-2-20000000000000000000020-200000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-2222200000000000000000000-20200000000000
χ2122222222-2-222-2-22222-2-2-2-2002-20022-2-20000000000000000020-20000000000
χ2222222222-2-222-2-22222-2-2-2-2002-200-2-22200000000000000000-2020000000000
χ2322222222-2-222-2-222-2-222-2-200-220022-2-200000000000000000-2020000000000
χ2422222222-2-222-2-222-2-222-2-200-2200-2-2220000000000000000020-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-22000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-2200000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222002-2000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222002-200000000000000000000000000-222-2000000
χ2922-222-2-2-22-2-2-22-22200002-20000002i−2i2i−2i00002i2i−2i−2i000022-2-200000000000000
χ3022-222-2-2-22-2-2-22-22200002-20000002i−2i2i−2i0000−2i−2i2i2i0000-2-22200000000000000
χ3122-222-2-2-22-2-2-22-22200002-2000000−2i2i−2i2i00002i2i−2i−2i0000-2-22200000000000000
χ3222-222-2-2-22-2-2-22-22200002-2000000−2i2i−2i2i0000−2i−2i2i2i000022-2-200000000000000
χ3322-222-2-2-2-22-2-2-22220000-220000002i−2i−2i2i2i2i−2i−2i000022-2-2000000000000000000
χ3422-222-2-2-2-22-2-2-22220000-220000002i−2i−2i2i−2i−2i2i2i0000-2-222000000000000000000
χ3522-222-2-2-2-22-2-2-22220000-22000000−2i2i2i−2i2i2i−2i−2i0000-2-222000000000000000000
χ3622-222-2-2-2-22-2-2-22220000-22000000−2i2i2i−2i−2i−2i2i2i000022-2-2000000000000000000
χ3722-2-2-222-2-22002-2002i−2i2i−2i002-2002i−2i0000000000002−22−2i2−i2i2−i2000000002−2i2−i200
χ3822-2-2-222-2-22002-2002i−2i2i−2i002-2002i−2i000000000000−22−22−i2i2−i2i200000000−22−i2i200
χ3922-2-2-222-2-22002-2002i−2i2i−2i00-2200−2i2i0000000000002−22−2i2−i2i2−i200000000−22−i2i200
χ4022-2-2-222-2-22002-2002i−2i2i−2i00-2200−2i2i000000000000−22−22−i2i2−i2i2000000002−2i2−i200
χ4122-2-2-222-2-22002-200−2i2i−2i2i002-200−2i2i0000000000002−22−2−i2i2−i2i2000000002−2−i2i200
χ4222-2-2-222-2-22002-200−2i2i−2i2i002-200−2i2i000000000000−22−22i2−i2i2−i200000000−22i2−i200
χ4322-2-2-222-2-22002-200−2i2i−2i2i00-22002i−2i0000000000002−22−2−i2i2−i2i200000000−22i2−i200
χ4422-2-2-222-2-22002-200−2i2i−2i2i00-22002i−2i000000000000−22−22i2−i2i2−i2000000002−2−i2i200
χ45444-4-4-4-444400-4-40000000000000000000000000022−22−2222000000000000000000
χ46444-4-4-4-444400-4-400000000000000000000000000−222222−22000000000000000000
χ47444-4-4-4-44-4-400440000000000000000000000000000002i2−2i2−2i22i200000000000000
χ48444-4-4-4-44-4-40044000000000000000000000000000000−2i22i22i2−2i200000000000000
χ4944-444-4-4-44-4444-4-4-40000-440000000000000000000000000000000000000000
χ5044-444-4-4-4-4444-44-4-400004-40000000000000000000000000000000000000000
χ5144-4-4-444-44-400-44004i−4i−4i4i000000000000000000000000000000000000000000
χ5244-4-4-444-44-400-4400−4i4i4i−4i000000000000000000000000000000000000000000
χ534-44-444-4-4004-4004-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ544-44-444-4-4004-4004-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ554-44-444-4-400-4400-4400000000000000002i2−2i22i2−2i200000000000000000000000000
χ564-44-444-4-400-4400-440000000000000000−2i22i2−2i22i200000000000000000000000000
χ574-4-4-44-444004-400-44000000000000000022−22−222200000000000000000000000000
χ584-4-4-44-444004-400-440000000000000000−222222−2200000000000000000000000000
χ594-4-4-44-44400-44004-40000000000000000000022−22−22220000000000000000000000
χ604-4-4-44-44400-44004-400000000000000000000−222222−220000000000000000000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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