Finite Group Databasebeta

← Group #295444

Character table — Group #295444

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-111111111
χ51111111111111111111111-1-1111-1-11111111111-11-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-11-1-111-111-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1111111-1-1-1-1
χ91111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-11-1-11-1111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-11111-1-11-1-11-1-1-1111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-11-111-11111-1-1-1-111-1-111
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-11-111-11-1-111111-1-111-1-1
χ131111111111111-1-1-1-1-1-1111-1-111-111111111-1-1-1-11-1-11-1-11-1-1-11111-1-1-1-111
χ141111111111111-1-1-1-1-1-1111-1-111-11111-1-1-1-111111-1-11-1-1111-1-1-1-1-11111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111111-111-111-1-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-2-2-222002220000000000-200000000-20000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-2002-2-2000000000020000000020000000000
χ19222222222222-2-2-22222-2-2-22200-2-2-20000000000200000000-20000000000
χ20222222222222-2-2-22222-2-2-2-2-200-2220000000000-20000000020000000000
χ2122222222-2-2-2-222222-2-2-2-220022-200-2-2000000000200-2000000000000000
χ2222222222-2-2-2-222222-2-2-2-2200-2-2-20022000000000-2002000000000000000
χ2322222222-2-2-2-22-2-2-2-222-2-220022200-2-2000000000-2002000000000000000
χ2422222222-2-2-2-22-2-2-2-222-2-2200-2-220022000000000200-2000000000000000
χ2522222222-2-2-2-2-222-2-22222-20000-2000000000000002-20-220000000000000
χ2622222222-2-2-2-2-222-2-22222-20000-200000000000000-2202-20000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-20000200000000000000220-2-20000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-20000200000000000000-2-20220000000000000
χ2922-2-222-2-22-22-2-20000002-22002i−2i0002i−2i000022-2-2000000000000002i−2i0000
χ3022-2-222-2-22-22-2-20000002-22002i−2i0002i−2i0000-2-22200000000000000−2i2i0000
χ3122-2-222-2-22-22-2-20000002-2200−2i2i000−2i2i000022-2-200000000000000−2i2i0000
χ3222-2-222-2-22-22-2-20000002-2200−2i2i000−2i2i0000-2-222000000000000002i−2i0000
χ3322-2-222-2-2-22-22-2000000-222002i−2i000−2i2i22-2-200000000000000002i−2i000000
χ3422-2-222-2-2-22-22-2000000-222002i−2i000−2i2i-2-2220000000000000000−2i2i000000
χ3522-2-222-2-2-22-22-2000000-22200−2i2i0002i−2i22-2-20000000000000000−2i2i000000
χ3622-2-222-2-2-22-22-2000000-22200−2i2i0002i−2i-2-22200000000000000002i−2i000000
χ37444-4-4-44-44-4-4400000000004-400000000000000000000000000000000000
χ38444-4-4-44-44-4-440000000000-4400000000000000000000000000000000000
χ39444-4-4-44-4-444-40000000000000004-4000000000000000000000000000000
χ40444-4-4-44-4-444-4000000000000000-44000000000000000000000000000000
χ4144-44-4-4-4444-4-400000000000000000000000000000000000000000000022−22
χ4244-44-4-4-4444-4-4000000000000000000000000000000000000000000000−2222
χ4344-44-4-4-44-4-44400000000000000000000000000000000000000000002i2−2i200
χ4444-44-4-4-44-4-4440000000000000000000000000000000000000000000−2i22i200
χ4544-4-444-4-44-44-44000000-44-40000000000000000000000000000000000000
χ4644-4-444-4-4-44-4440000004-4-40000000000000000000000000000000000000
χ474-44-44-4-44000004i−4i00000000000000002i−2i2i−2i2-22-200000000000000000000
χ484-44-44-4-44000004i−4i0000000000000000−2i2i−2i2i-22-2200000000000000000000
χ494-44-44-4-4400000−4i4i00000000000000002i−2i2i−2i-22-2200000000000000000000
χ504-44-44-4-4400000−4i4i0000000000000000−2i2i−2i2i2-22-200000000000000000000
χ514-4-444-44-40000000004i−4i0000000000002i−2i−2i2i2-2-2200000000000000000000
χ524-4-444-44-40000000004i−4i000000000000−2i2i2i−2i-222-200000000000000000000
χ534-4-444-44-4000000000−4i4i0000000000002i−2i−2i2i-222-200000000000000000000
χ544-4-444-44-4000000000−4i4i000000000000−2i2i2i−2i2-2-2200000000000000000000
χ554-4-4-4-444400000004-4000000000000000000000000000002-202-200000000
χ564-4-4-4-444400000004-400000000000000000000000000000-220-2200000000
χ574-4-4-4-44440000000-44000000000000000000000000000002-20-2200000000
χ584-4-4-4-44440000000-4400000000000000000000000000000-2202-200000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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