Finite Group Databasebeta

← Group #265803

Character table — Group #265803

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-11111
χ5111111111111111111-1-111-1-11111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-111-1-11-1-1-1-111-111-1-111-111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-11-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1
χ91111111111111-1-111111-1-111-111-1-111-11-11-1-1-1-11-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-111-111-1-1-1-1-11-11-111-11-1-1-111-1-111-1-111
χ111111111111111-1-111111-1-111-1-1-11111-1-11-11-1-1-1-11-1-11111-1-1-1-111
χ121111111111111-1-111111-1-111-1-1-111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1
χ131111111111111-1-1111-1-1-1-1-1-1-111-1-1111-111-1-1-11-1111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-11-111-1111-11-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111-1-111111-111-1-111-1-1-1-111
χ17222222222222-222-2-2-200-2-2002222200000-2-200000000000000000
χ18222222222222-222-2-2-200-2-2002-2-2-2-2000002200000000000000000
χ19222222222222-2-2-2-2-2-2002200-222-2-200000-2200000000000000000
χ20222222222222-2-2-2-2-2-2002200-2-2-222000002-200000000000000000
χ2122222222-2-2-2-2222-2-22002-200-200000002200000-2-2000000000000
χ2222222222-2-2-2-2222-2-22002-200-20000000-2-20000022000000000000
χ2322222222-2-2-2-22-2-2-2-2200-2200200000002-200000-22000000000000
χ2422222222-2-2-2-22-2-2-2-2200-220020000000-22000002-2000000000000
χ2522222222-2-2-2-2-22222-222-22-2-2-2000000-2000000200000000000000
χ2622222222-2-2-2-2-22222-2-2-2-2222-20000002000000-200000000000000
χ2722222222-2-2-2-2-2-2-222-2222-2-2-220000002000000-200000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-22-2222000000-2000000200000000000000
χ292222-2-2-2-222-2-22002-2-22-2002-2000002-2000000000000002-2000000
χ302222-2-2-2-222-2-22002-2-22-2002-200000-2200000000000000-22000000
χ312222-2-2-2-222-2-22002-2-2-2200-22000002-200000000000000-22000000
χ322222-2-2-2-222-2-22002-2-2-2200-2200000-22000000000000002-2000000
χ332222-2-2-2-2-2-222-2002-222-200-220000000000002i−2i0000000002i−2i0000
χ342222-2-2-2-2-2-222-2002-222-200-22000000000000−2i2i000000000−2i2i0000
χ352222-2-2-2-2-2-222-2002-22-22002-20000000000002i−2i000000000−2i2i0000
χ362222-2-2-2-2-2-222-2002-22-22002-2000000000000−2i2i0000000002i−2i0000
χ374444-4-4-4-444-4-4-400-44400000000000000000000000000000000000
χ384444-4-4-4-4-4-444400-44-400000000000000000000000000000000000
χ3944-4-4-4-444000004-4000000000000000000000000002-22-200000000
χ4044-4-4-4-444000004-400000000000000000000000000-22-2200000000
χ4144-4-4-4-44400000-44000000000000000000000000002-2-2200000000
χ4244-4-4-4-44400000-4400000000000000000000000000-222-200000000
χ434-44-44-44-44-44-40000000000000000000000000000000000000002i2−2i2
χ444-44-44-44-44-44-4000000000000000000000000000000000000000−2i22i2
χ454-44-44-44-4-44-4400000000000000000000000000000000000002i2−2i200
χ464-44-44-44-4-44-440000000000000000000000000000000000000−2i22i200
χ474-44-4-44-444-4-440000000000000004-4000000000000000000000000
χ484-44-4-44-444-4-44000000000000000-44000000000000000000000000
χ494-44-4-44-44-444-400000000000004-400000000000000000000000000
χ504-44-4-44-44-444-40000000000000-4400000000000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ528-8-888-8-88000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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