Finite Group Databasebeta

← Group #296589

Character table — Group #296589

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111
χ51111111111111111111111-1-111-1-111111111111-1-11-1-1-11-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111-11-111-1-11-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11-111-1-1111111111-1-1-1-1
χ9111111111111-1-1-1-11-1-1111111111-1-1-11111-1-1-1-1-1-1-111-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-11111-1-1-111-11-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-11111-11111-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-111
χ12111111111111-1-1-1-11-1-111111-1-11111-1-1-1-1-11111-111-1-1-1-1111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-111-1-1-111111-1-1-1-111-1-111
χ14111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-111-11111-1-1-1-11-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-1-111111-11111-1-111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2002200-2-2-200000000002000-20000000000000
χ182222222222222222-2-2-2-2-2-200-2-20022-20000000000-200020000000000000
χ19222222222222-2-2-2-2-222-2-2-20022002220000000000-2000-20000000000000
χ20222222222222-2-2-2-2-222-2-2-200-2-200-2-220000000000200020000000000000
χ2122222222-2-2-2-222-2-2222-2-222200-2-200-20000000020000-200000000000000
χ2222222222-2-2-2-222-2-2222-2-22-2-2002200-200000000-20000200000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2000000002000000000202-200-2000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2000000002000000000-20-22002000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-222200-2-200200000000-20000200000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22-2-200220020000000020000-200000000000000
χ2722222222-2-2-2-2-2-222-22222-200000000-200000000020-2200-2000000000000
χ2822222222-2-2-2-2-2-222-22222-200000000-2000000000-202-2002000000000000
χ2922-22-2-22-22-22-20000-2002-222i−2i002i−2i00000002i2i−2i−2i000000000000002-20000
χ3022-22-2-22-22-22-20000-2002-222i−2i002i−2i0000000−2i−2i2i2i00000000000000-220000
χ3122-22-2-22-22-22-20000-2002-22−2i2i00−2i2i00000002i2i−2i−2i00000000000000-220000
χ3222-22-2-22-22-22-20000-2002-22−2i2i00−2i2i0000000−2i−2i2i2i000000000000002-20000
χ3322-22-2-22-2-22-220000-200-2222i−2i00−2i2i0002i2i−2i−2i00000000000000002-2000000
χ3422-22-2-22-2-22-220000-200-2222i−2i00−2i2i000−2i−2i2i2i0000000000000000-22000000
χ3522-22-2-22-2-22-220000-200-222−2i2i002i−2i0002i2i−2i−2i0000000000000000-22000000
χ3622-22-2-22-2-22-220000-200-222−2i2i002i−2i000−2i−2i2i2i00000000000000002-2000000
χ37444-4-44-4-40000004-40000000000000002-22-22-22-200000000000000000000
χ38444-4-44-4-40000004-4000000000000000-22-22-22-2200000000000000000000
χ39444-4-44-4-4000000-440000000000000002-22-2-22-2200000000000000000000
χ40444-4-44-4-4000000-44000000000000000-22-222-22-200000000000000000000
χ4144-44-4-44-44-44-40000400-44-40000000000000000000000000000000000000
χ4244-44-4-44-4-44-4400004004-4-40000000000000000000000000000000000000
χ4344-4-44-4-440000000004-40000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ4444-4-44-4-440000000004-4000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ4544-4-44-4-44000000000-440000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4644-4-44-4-44000000000-44000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ474-444-4-4-444-4-440000000000000000000000000000000000000000000002i2−2i2
χ484-444-4-4-444-4-44000000000000000000000000000000000000000000000−2i22i2
χ494-444-4-4-44-444-400000000000000000000000000000000000000000002i2−2i200
χ504-444-4-4-44-444-40000000000000000000000000000000000000000000−2i22i200
χ514-4-4444-4-444-4-40000000000004-4000000000000000000000000000000000
χ524-4-4444-4-444-4-4000000000000-44000000000000000000000000000000000
χ534-4-4444-4-4-4-44400000000000000004i−4i00000000000000000000000000000
χ544-4-4444-4-4-4-4440000000000000000−4i4i00000000000000000000000000000
χ554-4-4-4-444400004-40000000000000000000000000000000002-22-200000000
χ564-4-4-4-444400004-4000000000000000000000000000000000-22-2200000000
χ574-4-4-4-44440000-440000000000000000000000000000000002-2-2200000000
χ584-4-4-4-44440000-44000000000000000000000000000000000-222-200000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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