Finite Group Databasebeta

← Group #304400

Character table — Group #304400

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1-1-1
χ5111111111111111111-1-111-1-11111111-1-1-11-111-11-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-111111-1-1-1-1-11-1-1-1-11-1-1-1-1-111111111
χ7111111111111111111-1-111-1-1-1-11-1-111-111-1111-1-11-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-111-1-1-1-11-1-1-1-1-111-11-1-1-1-111111-1-1-1-11111
χ91111111111111-1-111111-1-11111-1-1-111-11-1-11-1-1-11-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-11111-1-1-1-1-1-11-1-1111-11-1-1-111-1-111-1-111
χ111111111111111-1-111111-1-111-1-1-11111-1-111-1-1-1-1-11-1-111-1-11111-1-1
χ121111111111111-1-111111-1-111-1-1-111-1-1-1-111-111-1-1111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-1-111-1-1-1111-11-1-1-1-111111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-11-11-1-111111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111-111111-1-111-1-1-1-11111-1-1
χ17222222222222-222-2-2-200-2-2002222200000-20000-20000000000000
χ18222222222222-222-2-2-200-2-200-2-22-2-2000002000020000000000000
χ19222222222222-2-2-2-2-2-200220022-2-2-20000020000-20000000000000
χ20222222222222-2-2-2-2-2-2002200-2-2-22200000-2000020000000000000
χ2122222222-2-2-2-2222-2-22222-2-2-200-20000-2000000200000000000000
χ2222222222-2-2-2-2222-2-22-2-22-22200-200002000000-200000000000000
χ2322222222-2-2-2-22-2-2-2-2222-22-2-200200002000000-200000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-2-22220020000-2000000200000000000000
χ2522222222-2-2-2-2-22222-200-220000-200000220-20000-2000000000000
χ2622222222-2-2-2-2-22222-200-220000-200000-2-20200002000000000000
χ2722222222-2-2-2-2-2-2-222-2002-200002000002-20-200002000000000000
χ2822222222-2-2-2-2-2-2-222-2002-20000200000-22020000-2000000000000
χ29222-2-22-2-22-22-2-2002-222-2002-200000000000000000002i−2i002i−2i0000
χ30222-2-22-2-22-22-2-2002-222-2002-20000000000000000000−2i2i00−2i2i0000
χ31222-2-22-2-22-22-2-2002-22-2200-2200000000000000000002i−2i00−2i2i0000
χ32222-2-22-2-22-22-2-2002-22-2200-220000000000000000000−2i2i002i−2i0000
χ33222-2-22-2-2-22-22-200-2222-200-22000000000000000002i−2i002i−2i000000
χ34222-2-22-2-2-22-22-200-2222-200-2200000000000000000−2i2i00−2i2i000000
χ35222-2-22-2-2-22-22-200-222-22002-2000000000000000002i−2i00−2i2i000000
χ36222-2-22-2-2-22-22-200-222-22002-200000000000000000−2i2i002i−2i000000
χ37444-4-44-4-44-44-4400-44-400000000000000000000000000000000000
χ38444-4-44-4-4-44-444004-4-400000000000000000000000000000000000
χ394-444-4-44-4000004i−4i000000000000002-2000002i−2i000000000000000
χ404-444-4-44-4000004i−4i00000000000000-2200000−2i2i000000000000000
χ414-444-4-44-400000−4i4i000000000000002-200000−2i2i000000000000000
χ424-444-4-44-400000−4i4i00000000000000-22000002i−2i000000000000000
χ434-4-44-44-444-4-44000000000000000000000000000000000000022−2200
χ444-4-44-44-444-4-440000000000000000000000000000000000000−222200
χ454-4-44-44-44-444-400000000000000000000000000000000000000022−22
χ464-4-44-44-44-444-4000000000000000000000000000000000000000−2222
χ474-4-4-4444-444-4-40000000000000004i−4i000000000000000000000000
χ484-4-4-4444-444-4-4000000000000000−4i4i000000000000000000000000
χ494-4-4-4444-4-4-4440000000000004-4000000000000000000000000000
χ504-4-4-4444-4-4-444000000000000-44000000000000000000000000000
χ5188-888-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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