Finite Group Databasebeta

← Group #304381

Character table — Group #304381

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-1-1-1111-1-11-1-11-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1111111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ7111111111111111111-1-111-1-1-1-1-1-1111-111-111-1-111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1111111-1-1-1-11111
χ91111111111111-1-111111-1-111-1-111-111-11-1-1-1-11-11-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-111-1-111-1-1-1-11-1-1111-11-1-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-11111-111-1-11-1-1-1-11-11-1-111-1-11111-1-1
χ121111111111111-1-111111-1-1-1-11111-1-1-1-1-11-111-11-1111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-111-1-1-1-1-1111-111-1-11-1-1111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11-111111-1-11-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-111-1-1-11111-11-1-1-111-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1111-111-111-1-1-1-11111-1-1
χ17222222222222-222-2-2-200-2-2222200200000000-2-200000000000000
χ18222222222222-222-2-2-200-2-2-2-2-2-2002000000002200000000000000
χ19222222222222-2-2-2-2-2-2002222-2-200-200000000-2200000000000000
χ20222222222222-2-2-2-2-2-20022-2-22200-2000000002-200000000000000
χ2122222222-2-2-2-2222-2-22222-20000-2-2-200-2002000000000000000000
χ2222222222-2-2-2-2222-2-22-2-22-2000022-200200-2000000000000000000
χ2322222222-2-2-2-22-2-2-2-2222-220000-2-2200200-2000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-2-22000022200-2002000000000000000000
χ2522222222-2-2-2-2-22222-200-22000000-20002200000-2-2000000000000
χ2622222222-2-2-2-2-22222-200-22000000-2000-2-20000022000000000000
χ2722222222-2-2-2-2-2-2-222-2002-200000020002-200000-22000000000000
χ2822222222-2-2-2-2-2-2-222-2002-20000002000-22000002-2000000000000
χ29222-2-2-22-22-22-2-2002-222-20000002-20000000000000002i−2i002i−2i0000
χ30222-2-2-22-22-22-2-2002-222-20000002-2000000000000000−2i2i00−2i2i0000
χ31222-2-2-22-22-22-2-2002-22-22000000-220000000000000002i−2i00−2i2i0000
χ32222-2-2-22-22-22-2-2002-22-22000000-22000000000000000−2i2i002i−2i0000
χ33222-2-2-22-2-22-22-200-2222-2000000-2200000000000002i−2i002i−2i000000
χ34222-2-2-22-2-22-22-200-2222-2000000-220000000000000−2i2i00−2i2i000000
χ35222-2-2-22-2-22-22-200-222-220000002-200000000000002i−2i00−2i2i000000
χ36222-2-2-22-2-22-22-200-222-220000002-20000000000000−2i2i002i−2i000000
χ37444-4-4-44-44-44-4400-44-400000000000000000000000000000000000
χ38444-4-4-44-4-44-444004-4-400000000000000000000000000000000000
χ3944-44-44-4-444-4-400000000000000000000000000000000000000022−22
χ4044-44-44-4-444-4-4000000000000000000000000000000000000000−2222
χ4144-44-44-4-4-4-44400000000000000000000000000000000000002i2−2i200
χ4244-44-44-4-4-4-4440000000000000000000000000000000000000−2i22i200
χ4344-4-44-4-444-4-4400000000004i−4i00000000000000000000000000000
χ4444-4-44-4-444-4-440000000000−4i4i00000000000000000000000000000
χ4544-4-44-4-44-444-40000000000004i−4i000000000000000000000000000
χ4644-4-44-4-44-444-4000000000000−4i4i000000000000000000000000000
χ474-4-44-4-444000004-4000000000000002-200002-20000000000000000
χ484-4-44-4-444000004-400000000000000-220000-220000000000000000
χ494-4-44-4-44400000-44000000000000002-20000-220000000000000000
χ504-4-44-4-44400000-4400000000000000-2200002-20000000000000000
χ518-8888-8-8-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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