Finite Group Databasebeta

← Group #179315

Character table — Group #179315

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444442442444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-11111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-11-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1
χ91111111111-1-11111-1-1-111111-111-1-1-1-11-1-1-111-1-111-1-111-1-1
χ101111111111-1-11111-1-1-111-1-11-111-1-1-1-11-111-1-111-1-111-1-111
χ111111111111-1-11111-1-1-11-1111-1-1-11-111-11-1-1-1-11111-1-1-1-111
χ121111111111-1-11111-1-1-11-1-1-11-1-1-11-111-111111-1-1-1-11111-1-1
χ131111111111-1-11111-1-1-1-1111-111-111-1-1-11-1-111-1-1-1-111-1-111
χ141111111111-1-11111-1-1-1-11-1-1-111-111-1-1-1111-1-11111-1-111-1-1
χ151111111111-1-11111-1-1-1-1-111-11-11-11111-1-1-1-1-111-1-11111-1-1
χ161111111111-1-11111-1-1-1-1-1-1-1-11-11-11111-11111-1-111-1-1-1-111
χ17222222222-222-2-22-2-2-22000000022000-2-200000000000000
χ18222222222-222-2-22-2-2-220000000-2-20002200000000000000
χ19222222222-2-2-2-2-22-222-200000002-2000-2200000000000000
χ20222222222-2-2-2-2-22-222-20000000-220002-200000000000000
χ2122222222-2222-2-2-22-22-22000-22000-2000000000000000000
χ2222222222-2222-2-2-22-22-2-20002-20002000000000000000000
χ2322222222-22-2-2-2-2-222-222000-2-20002000000000000000000
χ2422222222-22-2-2-2-2-222-22-200022000-2000000000000000000
χ2522222222-2-22222-2-22-2-2020000-20002-20000000000000000
χ2622222222-2-22222-2-22-2-20-200002000-220000000000000000
χ2722222222-2-2-2-222-2-2-222020000-2000-220000000000000000
χ2822222222-2-2-2-222-2-2-2220-2000020002-20000000000000000
χ2944-444-4-4-40400000-4000000000000000000022−220000000000
χ3044-444-4-4-40400000-40000000000000000000−22220000000000
χ3144-444-4-4-40-40000040000000000000000000002i2−2i200000000
χ3244-444-4-4-40-4000004000000000000000000000−2i22i200000000
χ3344-4-4-444-400004-400000000000000000000000000000002i2−2i2
χ3444-4-4-444-400004-40000000000000000000000000000000−2i22i2
χ3544-4-4-444-40000-44000000000000000000000000000002i2−2i200
χ3644-4-4-444-40000-4400000000000000000000000000000−2i22i200
χ374-444-44-4-4400000-400000000000000000000000022−22000000
χ384-444-44-4-4400000-4000000000000000000000000−2222000000
χ394-444-44-4-4-4000004000000000000000000000000002i2−2i20000
χ404-444-44-4-4-400000400000000000000000000000000−2i22i20000
χ414-44-44-44-4004-40000000002i−2i00000000002i−2i000000000000
χ424-44-44-44-4004-4000000000−2i2i0000000000−2i2i000000000000
χ434-44-44-44-400-440000000002i−2i0000000000−2i2i000000000000
χ444-44-44-44-400-44000000000−2i2i00000000002i−2i000000000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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