Finite Group Databasebeta

← Group #330232

Character table — Group #330232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444444444444444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-11-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1111-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-11-1-11
χ17222222222-2-222-2-2222-2-2-2-22-222-2-222-2-2000000000000000000000000
χ18222222222-2-222-2-2222-2-2-2-22-2-2-222-2-222000000000000000000000000
χ19222222222-2-222-2-22-2-222-2-2-2222-2-2-2-222000000000000000000000000
χ20222222222-2-222-2-22-2-222-2-2-22-2-22222-2-2000000000000000000000000
χ2122222222-222-2-222-22222-2-2-2-2000000002222-2-2-2-20000000000000000
χ2222222222-222-2-222-22222-2-2-2-200000000-2-2-2-222220000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-2220000000022-2-2-2-2220000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-22200000000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-22000000000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2200000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-2000000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-200000000000000000000−2i2i2i−2i00000000
χ29222-2-2-2-220-2-2002202-22-20000000000002i−2i2i−2i00002−22−20000i2−i2i2−i20000
χ30222-2-2-2-220-2-2002202-22-20000000000002i−2i2i−2i0000−22−220000−i2i2−i2i20000
χ31222-2-2-2-220-2-2002202-22-2000000000000−2i2i−2i2i00002−22−20000−i2i2−i2i20000
χ32222-2-2-2-220-2-2002202-22-2000000000000−2i2i−2i2i0000−22−220000i2−i2i2−i20000
χ33222-2-2-2-220-2-200220-22-220000000000002i−2i−2i2i00002−2−220000i2−i2−i2i20000
χ34222-2-2-2-220-2-200220-22-220000000000002i−2i−2i2i0000−222−20000−i2i2i2−i20000
χ35222-2-2-2-220-2-200220-22-22000000000000−2i2i2i−2i00002−2−220000−i2i2i2−i20000
χ36222-2-2-2-220-2-200220-22-22000000000000−2i2i2i−2i0000−222−20000i2−i2−i2i20000
χ37444-4-4-4-4404400-4-404-4-44000000000000000000000000000000000000
χ38444-4-4-4-4404400-4-40-444-4000000000000000000000000000000000000
χ3944-44-44-4-44004-400-40000000000004-400000000000000000000000000
χ4044-44-44-4-44004-400-4000000000000-4400000000000000000000000000
χ4144-44-44-4-4-400-44004000000000000004i−4i000000000000000000000000
χ4244-44-44-4-4-400-4400400000000000000−4i4i000000000000000000000000
χ434-44-444-4-4400-4400-400000000004-40000000000000000000000000000
χ444-44-444-4-4400-4400-40000000000-440000000000000000000000000000
χ454-44-444-4-4-4004-4004000000004i−4i000000000000000000000000000000
χ464-44-444-4-4-4004-400400000000−4i4i000000000000000000000000000000
χ474-4-444-4-4404-4004-40000000000000000000004i−4i000000000000000000
χ484-4-444-4-4404-4004-4000000000000000000000−4i4i000000000000000000
χ494-4-444-4-440-4400-44000000000000000000000004i−4i0000000000000000
χ504-4-444-4-440-4400-4400000000000000000000000−4i4i0000000000000000
χ514-4-4-4-444444-4-4-4-44400004-40000000000000000000000000000000000
χ524-4-4-4-44444-44-4-44-440000-440000000000000000000000000000000000
χ534-4-4-4-4444-44-444-44-40000-440000000000000000000000000000000000
χ544-4-4-4-4444-4-44444-4-400004-40000000000000000000000000000000000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-888-8-88-8000000000000000000000000000000000000000000000000

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