Finite Group Databasebeta

← Group #485246

Character table — Group #485246

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444888888888888888888888161616161616323232323232
order12222244442244444444222444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ5111111111111-1-1-1-1-1-1-1-11111-1-1111-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-11111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ9111111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1-111-1-111-1-11111-1-11-11-11-11-1
χ10111111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1-111-1-111-1-111-1-1111-1-11-11-11
χ11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-11-11-1-11-11
χ12111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111-1-111-11-1
χ13111111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-111-1-11
χ14111111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1
χ15111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-1-11111-1-11111-1-1-11-11-111-1
χ16111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-1-11111-1-111-1-111-111-11-1-11
χ1722222222222222222222-200-2002000000000000-2-20000-2-2000000
χ18222222222222-2-2-2-2-2-2-2-2-200-2002000000000000-2-2000022000000
χ192222222222-2-200000000200-222-200220000-2-2-2-22-2000000000000
χ202222222222-2-200000000200-2-2-2-200-2-2000022222-2000000000000
χ212222222222-2-200000000-222200-22200-2-2-2-20000-22000000000000
χ222222222222-2-200000000-2-2-2200-2-2-20022220000-22000000000000
χ23222222-2-2-2-2222222-2-2-2-2200200-2000000000000-2-20000-22000000
χ24222222-2-2-2-222-2-2-2-22222200200-2000000000000-2-200002-2000000
χ25222222-2-2-2-2-2-200000000222-2002-2-200-2-2220000-22000000000000
χ26222222-2-2-2-2-2-2000000002-2-2-2002220022-2-20000-22000000000000
χ27222222-2-2-2-2-2-200000000-200222200-2-20000-2-2222-2000000000000
χ28222222-2-2-2-2-2-200000000-2002-2-220022000022-2-22-2000000000000
χ294444-4-444-4-400000000000000000000000000000002-22-200000000
χ304444-4-444-4-40000000000000000000000000000000-22-2200000000
χ314444-4-4-4-44400000000000000000000000000000002-2-2200000000
χ324444-4-4-4-4440000000000000000000000000000000-222-200000000
χ3344-4-44-400004-444-4-40000000000000000000000000000000000000
χ3444-4-44-400004-4-4-4440000000000000000000000000000000000000
χ3544-4-44-40000-4400004i4i−4i−4i000000000000000000000000000000000
χ3644-4-44-40000-440000−4i−4i4i4i000000000000000000000000000000000
χ374-44-400004-4002i−2i2i−2i2i−2i2i−2i00002i−2i0002i−2i2-22-2000000000000000000
χ384-44-400004-4002i−2i2i−2i2i−2i2i−2i0000−2i2i000−2i2i-22-22000000000000000000
χ394-44-400004-400−2i2i−2i2i−2i2i−2i2i00002i−2i0002i−2i-22-22000000000000000000
χ404-44-400004-400−2i2i−2i2i−2i2i−2i2i0000−2i2i000−2i2i2-22-2000000000000000000
χ414-44-40000-44002i−2i2i−2i−2i2i−2i2i00002i−2i000−2i2i2-2-22000000000000000000
χ424-44-40000-44002i−2i2i−2i−2i2i−2i2i0000−2i2i0002i−2i-222-2000000000000000000
χ434-44-40000-4400−2i2i−2i2i2i−2i2i−2i00002i−2i000−2i2i-222-2000000000000000000
χ444-44-40000-4400−2i2i−2i2i2i−2i2i−2i0000−2i2i0002i−2i2-2-22000000000000000000
χ454-4-44004i−4i00002i−2i−2i2i2-2-2202-200002i−2i0000002i−2i2-200000000000000
χ464-4-44004i−4i00002i−2i−2i2i2-2-220-220000−2i2i000000−2i2i-2200000000000000
χ474-4-44004i−4i0000−2i2i2i−2i-222-202-200002i−2i000000−2i2i-2200000000000000
χ484-4-44004i−4i0000−2i2i2i−2i-222-20-220000−2i2i0000002i−2i2-200000000000000
χ494-4-4400−4i4i00002i−2i−2i2i-222-202-20000−2i2i0000002i−2i-2200000000000000
χ504-4-4400−4i4i00002i−2i−2i2i-222-20-2200002i−2i000000−2i2i2-200000000000000
χ514-4-4400−4i4i0000−2i2i2i−2i2-2-2202-20000−2i2i000000−2i2i2-200000000000000
χ524-4-4400−4i4i0000−2i2i2i−2i2-2-220-2200002i−2i0000002i−2i-2200000000000000
χ5388-8-8-8800000000000000000000000000000000000000000000000

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