Finite Group Databasebeta

← Group #258218

Character table — Group #258218

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222224444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-11-1-1111111-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-11-1-1-1-1-1-111-1-1-111-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111111-1-111111-11111-1-1-1-1-11-111-11-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-11111-1-1-1-1-11-1-1-1-11-11-111-1-111-1-111-1-111
χ111111111111111-1-111111-111-1-111-1-1-1-1111-1-11-11-1-1-1-11111-1-1-1-111
χ121111111111111-1-111111-111-1-111-1-1-1-11-1-1-1-11-111111-1-1-1-11111-1-1
χ131111111111111-1-1111-1-1-1-1-111-1-1-1-111-1111-11-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-111-1-1-1-111-1-1-11-11-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-11-111111-11-1-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-11-11-1-111-11-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-2002002222-2-20-2-2000000000000000000000
χ18222222222222-222-2-2-200200-2-2-2-2-2-2022000000000000000000000
χ19222222222222-2-2-2-2-2-200-20022-2-2220-22000000000000000000000
χ20222222222222-2-2-2-2-2-200-200-2-2222202-2000000000000000000000
χ2122222222-2-2-2-2222-2-2200-20000002-200000022-2-200000000000000
χ2222222222-2-2-2-2222-2-2200-20000002-2000000-2-22200000000000000
χ2322222222-2-2-2-22-2-2-2-22002000000-220000002-2-2200000000000000
χ2422222222-2-2-2-22-2-2-2-22002000000-22000000-222-200000000000000
χ2522222222-2-2-2-2-22222-222-2-2-20000-22-200002000000000000000000
χ2622222222-2-2-2-2-22222-2-2-2-2220000-2220000-2000000000000000000
χ2722222222-2-2-2-2-2-2-222-2222-2-200002-220000-2000000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-222200002-2-200002000000000000000000
χ29222-22-2-2-222-2-2-2002-222i−2i02i−2i00000000000000002i−2i0000002-20000
χ30222-22-2-2-222-2-2-2002-222i−2i02i−2i0000000000000000−2i2i000000-220000
χ31222-22-2-2-222-2-2-2002-22−2i2i0−2i2i00000000000000002i−2i000000-220000
χ32222-22-2-2-222-2-2-2002-22−2i2i0−2i2i0000000000000000−2i2i0000002-20000
χ33222-22-2-2-2-2-2222002-2-22i−2i0−2i2i0000000002-2000000000002i−2i000000
χ34222-22-2-2-2-2-2222002-2-22i−2i0−2i2i000000000-2200000000000−2i2i000000
χ35222-22-2-2-2-2-2222002-2-2−2i2i02i−2i0000000002-200000000000−2i2i000000
χ36222-22-2-2-2-2-2222002-2-2−2i2i02i−2i000000000-22000000000002i−2i000000
χ37444-44-4-4-444-4-4400-44-400000000000000000000000000000000000
χ38444-44-4-4-4-4-444-400-44400000000000000000000000000000000000
χ3944-44-44-4-44-44-400000000000004i−4i00000000000000000000000000
χ4044-44-44-4-44-44-40000000000000−4i4i00000000000000000000000000
χ4144-44-44-4-4-44-44000000000004i−4i0000000000000000000000000000
χ4244-44-44-4-4-44-4400000000000−4i4i0000000000000000000000000000
χ4344-4-4-4-4444-4-44000000000000000000000000000000000000022−2200
χ4444-4-4-4-4444-4-440000000000000000000000000000000000000−222200
χ4544-4-4-4-444-444-400000000000000000000000000000000000000022−22
χ4644-4-4-4-444-444-4000000000000000000000000000000000000000−2222
χ474-4-4-444-44000004-4000000000000000000000000002-22-200000000
χ484-4-4-444-44000004-400000000000000000000000000-22-2200000000
χ494-4-4-444-4400000-44000000000000000000000000002-2-2200000000
χ504-4-4-444-4400000-4400000000000000000000000000-222-200000000
χ518-888-8-8-88000000000000000000000000000000000000000000000
χ528-88-8-888-8000000000000000000000000000000000000000000000
χ538-8-888-88-8000000000000000000000000000000000000000000000

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