Finite Group Databasebeta

← Group #507264

Character table — Group #507264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222244448888888888888888161616161616161616161616161632323232
order12222444488882444888816161616161616162444444888161616162448
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-11-11
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-1
χ5111111111111111-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ6111111111111111-1-111-1-111111111-1-111-111-1-1-1-1-1-1-111-1-1
χ7111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-111111-1-11
χ8111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1
χ91111111111111-1-111-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-1
χ101111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1
χ121111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-111-111-1-111-11-11
χ131111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1111-1-11111-1-1
χ141111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-11-1-11
χ17222222222-2-2-2-22222-2-2-2-2000000000000-20020000000000
χ18222222222-2-2-2-222-2-2-2-222000000000000200-20000000000
χ19222222222-2-2-2-2-2-22222-2-2000000000000200-20000000000
χ20222222222-2-2-2-2-2-2-2-22222000000000000-20020000000000
χ21222-2-2-222-22-2-22002i−2i002i−2i22-2-2000000000000002i−2i000000
χ22222-2-2-222-22-2-22002i−2i002i−2i-2-22200000000000000−2i2i000000
χ23222-2-2-222-22-2-2200−2i2i00−2i2i22-2-200000000000000−2i2i000000
χ24222-2-2-222-22-2-2200−2i2i00−2i2i-2-222000000000000002i−2i000000
χ25222-2-2-222-2-222-2002i−2i00−2i2i00002i2i−2i−2i0000000000002-20000
χ26222-2-2-222-2-222-2002i−2i00−2i2i0000−2i−2i2i2i000000000000-220000
χ27222-2-2-222-2-222-200−2i2i002i−2i00002i2i−2i−2i000000000000-220000
χ28222-2-2-222-2-222-200−2i2i002i−2i0000−2i−2i2i2i0000000000002-20000
χ2922-22-2-22-2222-2-2000000002i−2i2i−2i00002-20000002i−2i00000000
χ3022-22-2-22-2222-2-2000000002i−2i2i−2i0000-22000000−2i2i00000000
χ3122-22-2-22-2222-2-200000000−2i2i−2i2i00002-2000000−2i2i00000000
χ3222-22-2-22-2222-2-200000000−2i2i−2i2i0000-220000002i−2i00000000
χ3322-2-2222-2-22-22-2000000002i−2i−2i2i0000002i−2i02-200000000000
χ3422-2-2222-2-22-22-2000000002i−2i−2i2i000000−2i2i0-2200000000000
χ3522-2-2222-2-22-22-200000000−2i2i2i−2i0000002i−2i0-2200000000000
χ3622-2-2222-2-22-22-200000000−2i2i2i−2i000000−2i2i02-200000000000
χ3744444-4-4-4-4000000000000000022−2222−22000000000000000000
χ3844444-4-4-4-40000000000000000−2222−2222000000000000000000
χ39444-4-44-4-4400000000000000002i2−2i2−2i22i2000000000000000000
χ40444-4-44-4-440000000000000000−2i22i22i2−2i2000000000000000000
χ4144-44-44-44-4000000004i−4i0000000000000000000000000000
χ4244-44-44-44-400000000−4i4i0000000000000000000000000000
χ4344-44-4-44-44-4-4440000000000000000000000000000000000
χ4444-4-4444-4-4-44-440000000000000000000000000000000000
χ4544-4-44-4-44400004-400000000000000000000000000000000
χ4644-4-44-4-4440000-4400000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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