Finite Group Databasebeta

← Group #295539

Character table — Group #295539

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-11111-1-111-111-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111111111-1-11111-1-111-111-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ111111111111111111-1-11111-1-111-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ121111111111111111-1-11111-1-111-111-1-1-1-1-111-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-111-111-1-1111111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-111-111-1-111-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ172222222222-2-222-2-222000022-2-2-20000-222220000000000-2-200000000000000
χ182222222222-2-222-2-222000022-2-2-20000-2-2-2-2-200000000002200000000000000
χ192222222222-2-222-2-2-2-20000-2-2-2-220000222-2-20000000000-2200000000000000
χ202222222222-2-222-2-2-2-20000-2-2-2-2200002-2-22200000000002-200000000000000
χ2122222222-2-222-2-222222222-2-2-2-22-2-222-20000-2-2000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-2222-2-2-2000022000000000000000000000000
χ2322222222-2-222-2-222-2-2222222-2-2-2-2-2-2-22000022000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-222-2-2-2222220000-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2220000-2-222-20000200000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2220000-2-222-2000020000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-20000222220000-200000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-20000222220000-20000000000000000-222-20000000000
χ29222-2-2-2-222-2-2-22-222002i2i−2i−2i002-202i−2i00000000000002i2i−2i−2i000000002-2000000
χ30222-2-2-2-222-2-2-22-222002i2i−2i−2i002-202i−2i0000000000000−2i−2i2i2i00000000-22000000
χ31222-2-2-2-222-2-2-22-22200−2i−2i2i2i002-20−2i2i00000000000002i2i−2i−2i00000000-22000000
χ32222-2-2-2-222-2-2-22-22200−2i−2i2i2i002-20−2i2i0000000000000−2i−2i2i2i000000002-2000000
χ33222-2-2-2-22-22-2-2-2222002i2i−2i−2i00-220−2i2i0000000002i2i−2i−2i00000000002-200000000
χ34222-2-2-2-22-22-2-2-2222002i2i−2i−2i00-220−2i2i000000000−2i−2i2i2i0000000000-2200000000
χ35222-2-2-2-22-22-2-2-222200−2i−2i2i2i00-2202i−2i0000000002i2i−2i−2i0000000000-2200000000
χ36222-2-2-2-22-22-2-2-222200−2i−2i2i2i00-2202i−2i000000000−2i−2i2i2i00000000002-200000000
χ3722-2-22-22-2-2-20022002-200002-2000000002-22-200i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i200
χ3822-2-22-22-2-2-20022002-200002-2000000002-22-200−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i200
χ3922-2-22-22-2-2-20022002-200002-200000000-22-2200i2−i2i2−i2i2−i2i2−i20000000000−i2i2−i2i200
χ4022-2-22-22-2-2-20022002-200002-200000000-22-2200−i2i2−i2i2−i2i2−i2i20000000000i2−i2i2−i200
χ4122-2-22-22-2-2-2002200-220000-22000000002-2-2200i2−i2i2−i2−i2i2−i2i20000000000i2−i2−i2i200
χ4222-2-22-22-2-2-2002200-220000-22000000002-2-2200−i2i2−i2i2i2−i2i2−i20000000000−i2i2i2−i200
χ4322-2-22-22-2-2-2002200-220000-2200000000-222-200i2−i2i2−i2−i2i2−i2i20000000000−i2i2i2−i200
χ4422-2-22-22-2-2-2002200-220000-2200000000-222-200−i2i2−i2i2i2−i2i2−i20000000000i2−i2−i2i200
χ45444-4-4-4-444-4444-4-4-400000000-44000000000000000000000000000000000000
χ46444-4-4-4-44-4444-44-4-4000000004-4000000000000000000000000000000000000
χ4744-44-44-4-44-400-4400000000000000000000000022−22−222200000000000000000000
χ4844-44-44-4-44-400-44000000000000000000000000−222222−2200000000000000000000
χ4944-44-44-4-4-44004-4000000000000000000000000000022−22−22220000000000000000
χ5044-44-44-4-4-44004-40000000000000000000000000000−222222−220000000000000000
χ5144-4-44-44-44400-4-4004-40000-4400000000000000000000000000000000000000
χ5244-4-44-44-44400-4-400-4400004-400000000000000000000000000000000000000
χ534-4-444-4-44004-4004-400000000000004i−4i0000000000000000000000000000000
χ544-4-444-4-44004-4004-40000000000000−4i4i0000000000000000000000000000000
χ554-4-444-4-4400-4400-44004i−4i4i−4i0000000000000000000000000000000000000000
χ564-4-444-4-4400-4400-4400−4i4i−4i4i0000000000000000000000000000000000000000
χ574-4-4-4-4444004-400-44004-4-440000000000000000000000000000000000000000
χ584-4-4-4-4444004-400-4400-444-40000000000000000000000000000000000000000
χ594-4-4-4-444400-44004-4000000000000000000004-4000000000000000000000000
χ604-4-4-4-444400-44004-400000000000000000000-44000000000000000000000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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