Finite Group Databasebeta

← Group #327043

Character table — Group #327043

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444422444444488888888444444448888888844
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
χ5111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ172222222222-2-222-2-22222-2-2-2-222-2-2-222-2-200000000000000000000000000
χ182222222222-2-222-2-22222-2-2-2-2-2-2-222-2-22200000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2222-2-2-2-22200000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-222-2-2-2-222222-2-200000000000000000000000000
χ2122222222-2-222-2-22222-2-2-2-2-2-2002000000000000002-22-200000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-200200000000000000-22-2200000000000000
χ2322222222-2-222-2-222-2-22222-2-200-2000000000000002-2-2200000000000000
χ2422222222-2-222-2-222-2-22222-2-200-200000000000000-222-200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200-20000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200-2000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2220020000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222002000000000000000000-222-20000000000
χ2922-222-2-2-2-2-20022002-22-200002-20002-200i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i2000000
χ3022-222-2-2-2-2-20022002-22-200002-20002-200−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i2000000
χ3122-222-2-2-2-2-20022002-22-20000-22000-2200i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i2000000
χ3222-222-2-2-2-2-20022002-22-20000-22000-2200−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i2000000
χ3322-222-2-2-2-2-2002200-22-2200002-2000-2200i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i2000000
χ3422-222-2-2-2-2-2002200-22-2200002-2000-2200−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i2000000
χ3522-222-2-2-2-2-2002200-22-220000-220002-200i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i2000000
χ3622-222-2-2-2-2-2002200-22-220000-220002-200−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i2000000
χ37444-4-44-4-4004-4004-400000000000000000000022−2222−22000000000000000000
χ38444-4-44-4-4004-4004-4000000000000000000000−2222−2222000000000000000000
χ39444-4-44-4-400-4400-440000000000000000022−2222−220000000000000000000000
χ40444-4-44-4-400-4400-4400000000000000000−2222−22220000000000000000000000
χ4144-444-4-4-44400-4-4004-4-44000000000000000000000000000000000000000
χ4244-444-4-4-44400-4-400-444-4000000000000000000000000000000000000000
χ4344-4-4-4-4440000000000004-4000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4444-4-4-4-4440000000000004-400000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4544-4-4-4-444000000000000-44000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ4644-4-4-4-444000000000000-4400000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ474-44-44-44-44-4004-4000000000000000004i−4i00000000000000000000000000
χ484-44-44-44-44-4004-400000000000000000−4i4i00000000000000000000000000
χ494-44-44-44-4-4400-4400000000000004i−4i000000000000000000000000000000
χ504-44-44-44-4-4400-440000000000000−4i4i000000000000000000000000000000
χ514-4-44-444-4004400-4-40000000000000000000000000000000000000002i2−2i200
χ524-4-44-444-4004400-4-4000000000000000000000000000000000000000−2i22i200
χ534-4-44-444-400-4-40044000000000000000000000000000000000000022−220000
χ544-4-44-444-400-4-400440000000000000000000000000000000000000−22220000
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
χ598-888-8-8-88000000000000000000000000000000000000000000000000000

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