Finite Group Databasebeta

← Group #327770

Character table — Group #327770

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444444444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ91111111111111111-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1111-1
χ172222222222-2-222-2-22222-2-2-2-20000-2000000000000002-22-2000000000000
χ182222222222-2-222-2-22222-2-2-2-20000-200000000000000-22-22000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-200002000000000000002-2-22000000000000
χ202222222222-2-222-2-2-2-2-2-222-2-20000200000000000000-222-2000000000000
χ2122222222-2-222-2-22222-2-222-2-22222-2-2-2-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-222-2-2-2-2-2-2-2222200000000000000000000000000
χ2322222222-2-222-2-222-2-222-2-2-2-222-2-22-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-2-222222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222000020000000000002-200002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22200002000000000000-220000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000002-20000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-2000000000000-2200002-20000000000
χ2922-2-2-2-222002200-2-22-2002-2002i−2i2i−2i0000022−2−222−2−200000000i2−i2i2−i2000000
χ3022-2-2-2-222002200-2-22-2002-2002i−2i2i−2i00000−2−222−2−22200000000−i2i2−i2i2000000
χ3122-2-2-2-222002200-2-22-2002-200−2i2i−2i2i0000022−2−222−2−200000000−i2i2−i2i2000000
χ3222-2-2-2-222002200-2-22-2002-200−2i2i−2i2i00000−2−222−2−22200000000i2−i2i2−i2000000
χ3322-2-2-2-222002200-2-2-2200-22002i−2i−2i2i0000022−2−2−2−22200000000i2−i2−i2i2000000
χ3422-2-2-2-222002200-2-2-2200-22002i−2i−2i2i00000−2−22222−2−200000000−i2i2i2−i2000000
χ3522-2-2-2-222002200-2-2-2200-2200−2i2i2i−2i0000022−2−2−2−22200000000−i2i2i2−i2000000
χ3622-2-2-2-222002200-2-2-2200-2200−2i2i2i−2i00000−2−22222−2−200000000i2−i2−i2i2000000
χ37444-44-4-4-44-4004-400000000000000000000000000000000000000022−220000
χ38444-44-4-4-44-4004-4000000000000000000000000000000000000000−22220000
χ39444-44-4-4-4-4400-440000000000000000000000000000000000000000022−2200
χ40444-44-4-4-4-4400-4400000000000000000000000000000000000000000−222200
χ4144-4-4-4-44400-4-400444-400-440000000000000000000000000000000000000
χ4244-4-4-4-44400-4-40044-44004-40000000000000000000000000000000000000
χ434-444-4-4-44004-4004-40000000000000004i−4i00000000000000000000000000
χ444-444-4-4-44004-4004-4000000000000000−4i4i00000000000000000000000000
χ454-444-4-4-4400-4400-4400000000000004i−4i0000000000000000000000000000
χ464-444-4-4-4400-4400-440000000000000−4i4i0000000000000000000000000000
χ474-44-4-444-400000000004i−4i00000000000002-22-22i−2i2i−2i000000000000000000
χ484-44-4-444-400000000004i−4i0000000000000-22-22−2i2i−2i2i000000000000000000
χ494-44-4-444-40000000000−4i4i00000000000002-22-2−2i2i−2i2i000000000000000000
χ504-44-4-444-40000000000−4i4i0000000000000-22-222i−2i2i−2i000000000000000000
χ514-4-444-44-44400-4-4000000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-4-444-44-44400-4-400000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4-444-44-4-4-40044000000000000000000022−22−22220000000000000000000000
χ544-4-444-44-4-4-400440000000000000000000−222222−220000000000000000000000
χ554-4-4-444-444-44-4-44-440000004-400000000000000000000000000000000000
χ564-4-4-444-444-4-44-444-4000000-4400000000000000000000000000000000000
χ574-4-4-444-44-444-44-4-44000000-4400000000000000000000000000000000000
χ584-4-4-444-44-44-444-44-40000004-400000000000000000000000000000000000
χ5988-88-88-8-8000000000000000000000000000000000000000000000000000

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