Finite Group Databasebeta

← Group #504061

Character table — Group #504061

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12442224448888888888224444888816161616161616164444888888881616161644
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111111-1-1-1-1111-11-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-111-1-11-1
χ1011111111111111-1-1-1-1111-11-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-111-11
χ1111111111111111-1-1-1-1111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-11
χ1211111111111111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-1-1-1111-1
χ1311111111111111-1-1-1-111-11-11-1-111111111-1-1-1-1-1-111-1-111-1-1-11-1-111-11
χ1411111111111111-1-1-1-111-11-11-1-11111-1-1-1-11111-1-1-1-1-1-11111-1111-1-11-1
χ1511111111111111-1-1-1-111-11-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-11-1-1111-1
χ1611111111111111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-1-11
χ172222222222-2-2-2-22222-2-22222-2-20000000000000000000000-2-2000000
χ182222222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000022000000
χ192222222222-2-2-2-2-2-2-2-2-2-22-22-2220000000000000000000000-22000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-22-222200000000000000000000002-2000000
χ2122222-2-2-2-22-2-2-2-200002200000022-2-22i2i−2i−2i0000002i−2i00000000000000
χ2222222-2-2-2-22-2-2-2-200002200000022-2-2−2i−2i2i2i000000−2i2i00000000000000
χ2322222-2-2-2-22-2-2-2-2000022000000-2-2222i2i−2i−2i000000−2i2i00000000000000
χ2422222-2-2-2-22-2-2-2-2000022000000-2-222−2i−2i2i2i0000002i−2i00000000000000
χ2522-2-22-2-222-2000022-2-20022-2-20000002−22−222−2−20000000000002−22−200
χ2622-2-22-2-222-2000022-2-20022-2-2000000−22−22−2−222000000000000−22−2200
χ2722-2-22-2-222-2000022-2-200-2-2220000002−22−222−2−2000000000000−22−2200
χ2822-2-22-2-222-2000022-2-200-2-222000000−22−22−2−2220000000000002−22−200
χ2922-2-22-2-222-20000-2-222002-2-220000002−22−2−2−2220000000000002−2−2200
χ3022-2-22-2-222-20000-2-222002-2-22000000−22−2222−2−2000000000000−222−200
χ3122-2-22-2-222-20000-2-22200-222-20000002−22−2−2−222000000000000−222−200
χ3222-2-22-2-222-20000-2-22200-222-2000000−22−2222−2−20000000000002−2−2200
χ3322-2-2-22-22-22-2-2220000-220000002i−2i2i−2i00002-22-2000000002i−2i00000000
χ3422-2-2-22-22-22-2-2220000-220000002i−2i2i−2i0000-22-2200000000−2i2i00000000
χ3522-2-2-22-22-22-2-2220000-22000000−2i2i−2i2i00002-22-200000000−2i2i00000000
χ3622-2-2-22-22-22-2-2220000-22000000−2i2i−2i2i0000-22-22000000002i−2i00000000
χ3722-2-2-2-22-22222-2-22-22-2-2200002-22i−2i−2i2i000000002i−2i0000000000000000
χ3822-2-2-2-22-22222-2-22-22-2-2200002-2−2i2i2i−2i00000000−2i2i0000000000000000
χ3922-2-2-2-22-22222-2-2-22-22-220000-222i−2i−2i2i00000000−2i2i0000000000000000
χ4022-2-2-2-22-22222-2-2-22-22-220000-22−2i2i2i−2i000000002i−2i0000000000000000
χ4122-2-2-2-22-222-2-2222-22-22-20000-2200000000000000002i−2i2i−2i0000000000
χ4222-2-2-2-22-222-2-2222-22-22-20000-220000000000000000−2i2i−2i2i0000000000
χ4322-2-2-2-22-222-2-222-22-222-200002-200000000000000002i−2i−2i2i0000000000
χ4422-2-2-2-22-222-2-222-22-222-200002-20000000000000000−2i2i2i−2i0000000000
χ4544444-4-4-4-4444440000-4-4000000000000000000000000000000000000
χ464444-44-4-44-400004-4-4400000000000000000000000000000000000000
χ474444-44-4-44-40000-444-400000000000000000000000000000000000000
χ484444-4-444-4-400000000000000000000000022−22−2222000000000000000000
χ494444-4-444-4-4000000000000000000000000−222222−22000000000000000000
χ5044-4-4444-4-4-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5144-4-4444-4-4-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ5244-4-4-44-44-4444-4-400004-4000000000000000000000000000000000000
χ538-88i−8i0000004i2−4i242−42000000000000000000000000000000000000000000
χ548-88i−8i000000−4i24i2−4242000000000000000000000000000000000000000000
χ558-8−8i8i0000004i2−4i2−4242000000000000000000000000000000000000000000
χ568-8−8i8i000000−4i24i242−42000000000000000000000000000000000000000000

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