Finite Group Databasebeta

← Group #253447

Character table — Group #253447

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222222244444444444444444444442244444444448888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-111111111-1-1-11-1-1-111-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-1-111
χ5111111111111111111-1-111-1-1-1-111111111-1-11-11-1-1-1-11-1-1-1-111
χ6111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-11-1-111-1-1
χ7111111111111111111-1-1-1-111111111111111-1-1-111-1-1-111-1-1-1-1
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111-1-1-1-111111-1-1111111111111-1-1-1-11-1-11-11-1-1-11-1-11-11-1
χ101111111-1-1-1-111111-1-111111111-1-1-1-11111-11-11-1-11-1-11-1-1-11-11
χ111111111-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-11111-11-1-1-1111-1-11
χ121111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-111-1
χ131111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1111111-111-1
χ141111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1111111-1-11
χ151111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-11-11-111-111-1-1-1-11-11
χ161111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-111-11-1111-1-1-11-11-1
χ17222222222222-2-2-2-2-2-2000022-2-20000000000000000002-20000
χ18222222222222-2-2-2-2-2-20000-2-222000000000000000000-220000
χ192222222-2-2-2-22-2-2-2-222000022-2-2000000000000000000-220000
χ202222222-2-2-2-22-2-2-2-2220000-2-2220000000000000000002-20000
χ21222222-222-2-2-222-2-22-200220000000000000020-20000-2000000
χ22222222-222-2-2-222-2-22-200-2-200000000000000-20200002000000
χ23222222-222-2-2-2-2-222-222200000000000000000-20002-20000000
χ24222222-222-2-2-2-2-222-22-2-2000000000000000002000-220000000
χ25222222-2-2-222-222-2-2-22002200000000000000-2020000-2000000
χ26222222-2-2-222-222-2-2-2200-2-20000000000000020-200002000000
χ27222222-2-2-222-2-2-2222-22200000000000000000-2000-220000000
χ28222222-2-2-222-2-2-2222-2-2-20000000000000000020002-20000000
χ292222-2-220000-22-22-20000002i−2i2i−2i00002i2i−2i−2i020000-2000000000
χ302222-2-220000-22-22-20000002i−2i2i−2i0000−2i−2i2i2i0-200002000000000
χ312222-2-220000-22-22-2000000−2i2i−2i2i00002i2i−2i−2i0-200002000000000
χ322222-2-220000-22-22-2000000−2i2i−2i2i0000−2i−2i2i2i020000-2000000000
χ332222-2-220000-2-22-220000002i−2i−2i2i2i2i−2i−2i000020000-20000000000
χ342222-2-220000-2-22-220000002i−2i−2i2i−2i−2i2i2i0000-2000020000000000
χ352222-2-220000-2-22-22000000−2i2i2i−2i2i2i−2i−2i0000-2000020000000000
χ362222-2-220000-2-22-22000000−2i2i2i−2i−2i−2i2i2i000020000-20000000000
χ374444-4-4-4000044-4-440000000000000000000000000000000000
χ384444-4-4-400004-444-40000000000000000000000000000000000
χ394-4-444-40004-40000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ404-4-444-40004-4000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ414-4-444-4000-440000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ424-4-444-4000-44000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ434-4-44-4404-4000000000000000002-2-222-2-220000000000000000
χ444-4-44-4404-400000000000000000-222-2-222-20000000000000000
χ454-4-44-440-44000000000000000002-2-22-222-20000000000000000
χ464-4-44-440-4400000000000000000-222-22-2-220000000000000000
χ4788-8-8000000000000004i−4i000000000000000000000000000000
χ4888-8-800000000000000−4i4i000000000000000000000000000000
χ498-88-800000000000000004i−4i0000000000000000000000000000
χ508-88-80000000000000000−4i4i0000000000000000000000000000

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