Finite Group Databasebeta

← Group #295388

Character table — Group #295388

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ91111111111111-1-11111111-1-1-1-1-111-1-11-11-1111-1-1-111-1-111-1-111-1-1
χ101111111111111-1-11111111-1-1-1-1-111-1-11-11-1-1-11-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-111-1-1-111-1-1-11-1111-11-1-1-1-111-1-11111-1-1
χ121111111111111-1-111111-1-111-1-1-111-1-1-11-11-1-1-111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-111-1-1-1-1-1-1-111-11-11111-1-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-111-1-1-1-1-1-1-111-11-11-1-11-111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-111-1-1-1-1-1111-11-111-11-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2002222-2-220000000000-2-200000000000000
χ18222222222222-222-2-2-200-2-2-2-2-2-2200000000002200000000000000
χ19222222222222-2-2-2-2-2-20022-2-222-20000000000-2200000000000000
χ20222222222222-2-2-2-2-2-200-2-22222-200000000002-200000000000000
χ2122222222-2-2-2-2222-2-222200002-2-2-2-2-220000000000000000000000
χ2222222222-2-2-2-2222-2-22-2-200002-2-2222-20000000000000000000000
χ2322222222-2-2-2-22-2-2-2-22220000-222-2-22-20000000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-20000-22222-220000000000000000000000
χ2522222222-2-2-2-2-22222-2000000-22-2000022-2-2000000000000000000
χ2622222222-2-2-2-2-22222-2000000-22-20000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-222-20000002-2200002-2-22000000000000000000
χ2822222222-2-2-2-2-2-2-222-20000002-220000-222-2000000000000000000
χ2922-22-22-2-22-22-2-2002-222i−2i00000002i−2i000000000000002-2002i−2i0000
χ3022-22-22-2-22-22-2-2002-222i−2i00000002i−2i00000000000000-2200−2i2i0000
χ3122-22-22-2-22-22-2-2002-22−2i2i0000000−2i2i000000000000002-200−2i2i0000
χ3222-22-22-2-22-22-2-2002-22−2i2i0000000−2i2i00000000000000-22002i−2i0000
χ3322-22-22-2-2-22-22-200-2222i−2i0000000−2i2i0000000000002-2002i−2i000000
χ3422-22-22-2-2-22-22-200-2222i−2i0000000−2i2i000000000000-2200−2i2i000000
χ3522-22-22-2-2-22-22-200-222−2i2i00000002i−2i0000000000002-200−2i2i000000
χ3622-22-22-2-2-22-22-200-222−2i2i00000002i−2i000000000000-22002i−2i000000
χ37444-4-4-4-444-4-44000000004i−4i0000000000000000000000000000000
χ38444-4-4-4-444-4-4400000000−4i4i0000000000000000000000000000000
χ39444-4-4-4-44-444-400000000004i−4i00000000000000000000000000000
χ40444-4-4-4-44-444-40000000000−4i4i00000000000000000000000000000
χ4144-44-44-4-44-44-4400-44-400000000000000000000000000000000000
χ4244-44-44-4-4-44-444004-4-400000000000000000000000000000000000
χ4344-4-44-44-444-4-400000000000000000000000000000000000000022−22
χ4444-4-44-44-444-4-4000000000000000000000000000000000000000−2222
χ4544-4-44-44-4-4-44400000000000000000000000000000000000002i2−2i200
χ4644-4-44-44-4-4-4440000000000000000000000000000000000000−2i22i200
χ474-4-4-4-4444000004-4000000000000000000002-2002-2000000000000
χ484-4-4-4-4444000004-400000000000000000000-2200-22000000000000
χ494-4-4-4-444400000-44000000000000000000002-200-22000000000000
χ504-4-4-4-444400000-4400000000000000000000-22002-2000000000000
χ518-888-8-88-8000000000000000000000000000000000000000000000
χ528-88-888-8-8000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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