Finite Group Databasebeta

← Group #304397

Character table — Group #304397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-1-11-1-1-11-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-11-1-11111-1-1-111-111-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-1-1-1-1-11-1111-1-1-11111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-11-11-1-1-1-1-111-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-111-11111-1-11-1-111-11-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-111-11111-1-11-1-1-1-1-11-11-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-111-1-111-1-1111-1-11-11-1-1-1-111-1-11111-1-1
χ121111111111111-1-1111-1-111-111-1-111-1-11-1-1-1-11-111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-1-1-111-1-1-1111111-1-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-1-111-1-1-111-1-111-1-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1111-111-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11-111-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2002002222000000-2-20000000000000000
χ18222222222222-222-2-2-2-2-200200-2-2-2-2000000220000000000000000
χ19222222222222-2-2-2-2-2-22200-20022-2-2000000-220000000000000000
χ20222222222222-2-2-2-2-2-22200-200-2-2220000002-20000000000000000
χ2122222222-2-2-2-2222-2-222-222-2-2-200000-20002000000000000000000
χ2222222222-2-2-2-2222-2-222-2-2-2-222000002000-2000000000000000000
χ2322222222-2-2-2-22-2-2-2-22-22222-2-2000002000-2000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-22-2-222200000-20002000000000000000000
χ2522222222-2-2-2-2-22222-2-2200-200000020200000-2-200000000000000
χ2622222222-2-2-2-2-22222-2-2200-2000000-20-2000002200000000000000
χ2722222222-2-2-2-2-2-2-222-22-200200000020-200000-2200000000000000
χ2822222222-2-2-2-2-2-2-222-22-2002000000-202000002-200000000000000
χ2922-22-22-2-22-22-2-2002-22002-202-20000000000000000002i−2i002i−2i0000
χ3022-22-22-2-22-22-2-2002-22002-202-2000000000000000000−2i2i00−2i2i0000
χ3122-22-22-2-22-22-2-2002-2200-220-220000000000000000002i−2i00−2i2i0000
χ3222-22-22-2-22-22-2-2002-2200-220-22000000000000000000−2i2i002i−2i0000
χ3322-22-22-2-2-22-22-200-222002-20-2200000000000000002i−2i002i−2i000000
χ3422-22-22-2-2-22-22-200-222002-20-220000000000000000−2i2i00−2i2i000000
χ3522-22-22-2-2-22-22-200-22200-2202-200000000000000002i−2i00−2i2i000000
χ3622-22-22-2-2-22-22-200-22200-2202-20000000000000000−2i2i002i−2i000000
χ37444-4-4-44-44-4-4400000000000000000000000000000000000000022−22
χ38444-4-4-44-44-4-44000000000000000000000000000000000000000−2222
χ39444-4-4-44-4-444-4000000000000000000000000000000000000022−2200
χ40444-4-4-44-4-444-40000000000000000000000000000000000000−222200
χ4144-44-44-4-44-44-4400-44-400000000000000000000000000000000000
χ4244-44-44-4-4-44-444004-4-400000000000000000000000000000000000
χ4344-4-44-4-4444-4-400000000000004-400000000000000000000000000
χ4444-4-44-4-4444-4-40000000000000-4400000000000000000000000000
χ4544-4-44-4-44-4-4440000000000000004i−4i000000000000000000000000
χ4644-4-44-4-44-4-444000000000000000−4i4i000000000000000000000000
χ474-44-4-44-44000004i−4i000000000000000002i−2i000002-2000000000000
χ484-44-4-44-44000004i−4i00000000000000000−2i2i00000-22000000000000
χ494-44-4-44-4400000−4i4i000000000000000002i−2i00000-22000000000000
χ504-44-4-44-4400000−4i4i00000000000000000−2i2i000002-2000000000000
χ518-8888-8-8-8000000000000000000000000000000000000000000000
χ528-8-88-8-888000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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