Finite Group Databasebeta

← Group #293545

Character table — Group #293545

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444444888888882444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ611111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-11
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-11111-1-11-1
χ91111111111111111-1-1-1-1111111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ172222222222-2-2-222-200002222-2-200-2-20022002200000000-2-200000000000000
χ182222222222-2-2-222-200002222-2-200-2-200-2-200-2-2000000002200000000000000
χ192222222222-2-2-222-20000-2-2-2-2-2-20022002200-2-200000000-2200000000000000
χ202222222222-2-2-222-20000-2-2-2-2-2-2002200-2-20022000000002-200000000000000
χ2122222222-2-2222-2-22222222-2-2-2-2-2-22-22200-2-200000000000000000000000000
χ2222222222-2-2222-2-222222-2-222-2-2-2-2-22-2-2002200000000000000000000000000
χ2322222222-2-2222-2-22-2-2-2-222-2-2-2-2222-2-2-2002200000000000000000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-222-2-222-222200-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-22200-220000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-22200-22000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-22222002-20000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-22222002-2000000000000000000-222-20000000000
χ2922-2-222-2-2-2-200022000002-22-2000000002i−2i002i−2ii2i2−i2−i2i2i2−i2−i200000000002−22−200
χ3022-2-222-2-2-2-200022000002-22-2000000002i−2i002i−2i−i2−i2i2i2−i2−i2i2i20000000000−22−2200
χ3122-2-222-2-2-2-200022000002-22-200000000−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i20000000000−22−2200
χ3222-2-222-2-2-2-200022000002-22-200000000−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i200000000002−22−200
χ3322-2-222-2-2-2-20002200000-22-22000000002i−2i00−2i2ii2i2−i2−i2−i2−i2i2i200000000002−2−2200
χ3422-2-222-2-2-2-20002200000-22-22000000002i−2i00−2i2i−i2−i2i2i2i2i2−i2−i20000000000−222−200
χ3522-2-222-2-2-2-20002200000-22-2200000000−2i2i002i−2ii2i2−i2−i2−i2−i2i2i20000000000−222−200
χ3622-2-222-2-2-2-20002200000-22-2200000000−2i2i002i−2i−i2−i2i2i2i2i2−i2−i200000000002−2−2200
χ3722-2-2-2-2222-222-22-2-22i2i−2i−2i00002-22i−2i000000000000002i−2i2i−2i000000002-2000000
χ3822-2-2-2-2222-222-22-2-22i2i−2i−2i00002-22i−2i00000000000000−2i2i−2i2i00000000-22000000
χ3922-2-2-2-2222-222-22-2-2−2i−2i2i2i00002-2−2i2i000000000000002i−2i2i−2i00000000-22000000
χ4022-2-2-2-2222-222-22-2-2−2i−2i2i2i00002-2−2i2i00000000000000−2i2i−2i2i000000002-2000000
χ4122-2-2-2-222-2222-2-22-22i2i−2i−2i0000-22−2i2i00000000002i−2i2i−2i00000000002-200000000
χ4222-2-2-2-222-2222-2-22-22i2i−2i−2i0000-22−2i2i0000000000−2i2i−2i2i0000000000-2200000000
χ4322-2-2-2-222-2222-2-22-2−2i−2i2i2i0000-222i−2i00000000002i−2i2i−2i0000000000-2200000000
χ4422-2-2-2-222-2222-2-22-2−2i−2i2i2i0000-222i−2i0000000000−2i2i−2i2i00000000002-200000000
χ454444-4-4-4-44-4000-440000000000000000000000022−22−222200000000000000000000
χ464444-4-4-4-44-4000-4400000000000000000000000−222222−2200000000000000000000
χ474444-4-4-4-4-440004-400000000000000000000000000022−22−22220000000000000000
χ484444-4-4-4-4-440004-4000000000000000000000000000−222222−220000000000000000
χ4944-4-444-4-444000-4-4000004-4-4400000000000000000000000000000000000000
χ5044-4-444-4-444000-4-400000-444-400000000000000000000000000000000000000
χ5144-4-4-4-4444-4-4-444-4400000000-44000000000000000000000000000000000000
χ5244-4-4-4-444-44-4-44-444000000004-4000000000000000000000000000000000000
χ534-44-44-44-4004-4400-4000000000000004-4000000000000000000000000000000
χ544-44-44-44-4004-4400-400000000000000-44000000000000000000000000000000
χ554-44-44-44-400-44-40044i−4i4i−4i000000000000000000000000000000000000000000
χ564-44-44-44-400-44-4004−4i4i−4i4i000000000000000000000000000000000000000000
χ574-4-44-444-4004-4-40040000000000000000004i−4i00000000000000000000000000
χ584-4-44-444-4004-4-4004000000000000000000−4i4i00000000000000000000000000
χ594-4-44-444-400-44400-44-4-44000000000000000000000000000000000000000000
χ604-4-44-444-400-44400-4-444-4000000000000000000000000000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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