Finite Group Databasebeta

← Group #304403

Character table — Group #304403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-1-1-1-11-1-1-11-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-11-1-111111111-1-1-111-111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ7111111111111111111-1-11-1-111-1-1-1-1111-1111-1-1-111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-11-1-111-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1-1-11111
χ91111111111111-1-111111-111-1-111-1-1111-1-1-1-1-11-11-111-1-111-1-111-1-1
χ101111111111111-1-111111-111-1-111-1-1-1-11-1-111-11-11-1-1-111-1-111-1-111
χ111111111111111-1-111111-111-1-1-1-11111-1-11-1-1-1-11-11-1-111-1-11111-1-1
χ121111111111111-1-111111-111-1-1-1-111-1-1-1-1111-1-11-1111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-1-1-111-1-111-111-1-111-1-1111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-1111111-1-11-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-11-111-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111-1111-111-111-1-1-1-11111-1-1
χ17222222222222-222-2-2-200200-2-2222200000000-2-200000000000000
χ18222222222222-222-2-2-200200-2-2-2-2-2-2000000002200000000000000
χ19222222222222-2-2-2-2-2-200-2002222-2-200000000-2200000000000000
χ20222222222222-2-2-2-2-2-200-20022-2-222000000002-200000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-22-200000002000-20000000000000000
χ2222222222-2-2-2-2222-2-22-2-2-2222-20000000-200020000000000000000
χ2322222222-2-2-2-22-2-2-2-22222-2-2-220000000-200020000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-2222-2200000002000-20000000000000000
χ2522222222-2-2-2-2-22222-200-200-2200000020200000-2-2000000000000
χ2622222222-2-2-2-2-22222-200-200-22000000-20-20000022000000000000
χ2722222222-2-2-2-2-2-2-222-2002002-200000020-200000-22000000000000
χ2822222222-2-2-2-2-2-2-222-2002002-2000000-202000002-2000000000000
χ29222-22-2-2-22-22-2-2002-222-202-2000000000000000000002i−2i002i−2i0000
χ30222-22-2-2-22-22-2-2002-222-202-200000000000000000000−2i2i00−2i2i0000
χ31222-22-2-2-22-22-2-2002-22-220-22000000000000000000002i−2i00−2i2i0000
χ32222-22-2-2-22-22-2-2002-22-220-2200000000000000000000−2i2i002i−2i0000
χ33222-22-2-2-2-22-22-200-2222-20-220000000000000000002i−2i002i−2i000000
χ34222-22-2-2-2-22-22-200-2222-20-22000000000000000000−2i2i00−2i2i000000
χ35222-22-2-2-2-22-22-200-222-2202-20000000000000000002i−2i00−2i2i000000
χ36222-22-2-2-2-22-22-200-222-2202-2000000000000000000−2i2i002i−2i000000
χ37444-44-4-4-44-44-4400-44-400000000000000000000000000000000000
χ38444-44-4-4-4-44-444004-4-400000000000000000000000000000000000
χ394-444-4-44-4000004i−4i000000000000002-20002i−2i00000000000000000
χ404-444-4-44-4000004i−4i00000000000000-22000−2i2i00000000000000000
χ414-444-4-44-400000−4i4i000000000000002-2000−2i2i00000000000000000
χ424-444-4-44-400000−4i4i00000000000000-220002i−2i00000000000000000
χ434-4-444-4-4444-4-40000000000000004i−4i000000000000000000000000
χ444-4-444-4-4444-4-4000000000000000−4i4i000000000000000000000000
χ454-4-444-4-44-4-44400000000000004-400000000000000000000000000
χ464-4-444-4-44-4-4440000000000000-4400000000000000000000000000
χ474-4-4-4444-44-4-44000000000000000000000000000000000000022−2200
χ484-4-4-4444-44-4-440000000000000000000000000000000000000−222200
χ494-4-4-4444-4-444-400000000000000000000000000000000000000022−22
χ504-4-4-4444-4-444-4000000000000000000000000000000000000000−2222
χ5188-88-88-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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