Finite Group Databasebeta

← Group #302268

Character table — Group #302268

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1111-1-111111-1-1-11-1-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111-1-1111-1-111-1-11-1-1-11-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-111-1-11111111-11-1-1-11-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-111111-1-1-11-1-1-11-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-11-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111
χ91111111111111-1-1111111111-1-1-1-1-111-111-1-1-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-11-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-111-111-1-111-1-1-11-11-11-1-1-1-111-1-11111-1-1
χ121111111111111-1-111111-1-111-111-1-1-1-1-1-1-11-11-111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-111-1-1-1-1-1-1-11111-111-1-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-111-111-1-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-1111-11-1111-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-11-11-1111-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2002200222-2-2000-2000-20000000000000000
χ18222222222222-222-2-2-200-2-2002-2-2-2-2000200020000000000000000
χ19222222222222-2-2-2-2-2-2002200-2-2-222000-200020000000000000000
χ20222222222222-2-2-2-2-2-200-2-200-222220002000-20000000000000000
χ2122222222-2-2-2-2222-2-222200-2-2-2002-200-2000200000000000000000
χ2222222222-2-2-2-2222-2-22-2-20022-2002-2002000-200000000000000000
χ2322222222-2-2-2-22-2-2-2-222200-2-2200-22002000-200000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-20022200-2200-2000200000000000000000
χ2522222222-2-2-2-2-22222-2000000-200-2200002-200-2200000000000000
χ2622222222-2-2-2-2-22222-2000000-200-220000-22002-200000000000000
χ2722222222-2-2-2-2-2-2-222-20000002002-200002200-2-200000000000000
χ2822222222-2-2-2-2-2-2-222-20000002002-20000-2-2002200000000000000
χ29222-22-2-2-22-22-22002-2-22-2002-200000000000000000002-2002-20000
χ30222-22-2-2-22-22-22002-2-22-2002-20000000000000000000-2200-220000
χ31222-22-2-2-22-22-22002-2-2-2200-2200000000000000000002-200-220000
χ32222-22-2-2-22-22-22002-2-2-2200-220000000000000000000-22002-20000
χ33222-22-2-2-2-22-22200-22-22-200-22000000000000000002-2002-2000000
χ34222-22-2-2-2-22-22200-22-22-200-2200000000000000000-2200-22000000
χ35222-22-2-2-2-22-22200-22-2-22002-2000000000000000002-200-22000000
χ36222-22-2-2-2-22-22200-22-2-22002-200000000000000000-22002-2000000
χ37444-44-4-4-44-44-4-400-44400000000000000000000000000000000000
χ38444-44-4-4-4-44-44-4004-4400000000000000000000000000000000000
χ3944-44-44-4-44-4-44000000004-40000000000000000000000000000000
χ4044-44-44-4-44-4-4400000000-440000000000000000000000000000000
χ4144-44-44-4-4-444-400000000000004-400000000000000000000000000
χ4244-44-44-4-4-444-40000000000000-4400000000000000000000000000
χ4344-4-4-4-44444-4-40000000000000000000000000000000000000002i2−2i2
χ4444-4-4-4-44444-4-4000000000000000000000000000000000000000−2i22i2
χ4544-4-4-4-444-4-444000000000000000000000000000000000000022−2200
χ4644-4-4-4-444-4-4440000000000000000000000000000000000000−222200
χ474-4-444-4-44000004i−4i000000000000002i−2i000000002-2000000000000
χ484-4-444-4-44000004i−4i00000000000000−2i2i00000000-22000000000000
χ494-4-444-4-4400000−4i4i000000000000002i−2i00000000-22000000000000
χ504-4-444-4-4400000−4i4i00000000000000−2i2i000000002-2000000000000
χ518-888-8-88-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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