Finite Group Databasebeta

← Group #278325

Character table — Group #278325

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444444444888888888888888888888888888444488884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1
χ611111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-11
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-11-1
χ9111111111111-1-1-1-111-1-11-1-1111111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111-1-11-1-1111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-111-1-11-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ12111111111111-1-1-1-111-1-11-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ13111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ14111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ15111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1
χ16111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ17222222222-2-222222-2-2-2-2-2-2-22222-2-222-2-2-20000000000000000000000000000
χ18222222222-2-222222-2-2-2-2-2-2-2-2-2-2-222-2-22220000000000000000000000000000
χ19222222222-2-22-2-2-2-2-2-222-2222222-2-2-2-2-2220000000000000000000000000000
χ20222222222-2-22-2-2-2-2-2-222-222-2-2-2-222222-2-20000000000000000000000000000
χ212222-2-22-2-222222-2-22-2-2-2-2220000000000000000000000000002-200002-20000
χ222222-2-22-2-222222-2-22-2-2-2-222000000000000000000000000000-220000-220000
χ232222-2-22-2-2222-2-2222-222-2-2-20000000000000000000000000002-20000-220000
χ242222-2-22-2-2222-2-2222-222-2-2-2000000000000000000000000000-2200002-20000
χ252222-2-22-2-2-2-2222-2-2-22222-2-2000000000000000000000000000002i−2i2i−2i000000
χ262222-2-22-2-2-2-2222-2-2-22222-2-200000000000000000000000000000−2i2i−2i2i000000
χ272222-2-22-2-2-2-22-2-222-22-2-2222000000000000000000000000000002i−2i−2i2i000000
χ282222-2-22-2-2-2-22-2-222-22-2-222200000000000000000000000000000−2i2i2i−2i000000
χ292222-2-2-22222-20000-2200-20022-2-22200-20022-2-2000022-2-20000000000000000
χ302222-2-2-22222-20000-2200-20022-2-22200-200-2-2220000-2-2220000000000000000
χ312222-2-2-22222-20000-2200-200-2-222-2-20020022-2-20000-2-2220000000000000000
χ322222-2-2-22222-20000-2200-200-2-222-2-200200-2-222000022-2-20000000000000000
χ332222-2-2-222-2-2-200002-20020022-2-2-2-20020000002i2i−2i−2i00002i2i−2i−2i000000000000
χ342222-2-2-222-2-2-200002-20020022-2-2-2-2002000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ352222-2-2-222-2-2-200002-200200-2-2222200-20000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ362222-2-2-222-2-2-200002-200200-2-2222200-2000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ3722-2-22-222-200-22-22-200000002-22-2002-20002−22−22−22−22−22−22−22−2000000000000
χ3822-2-22-222-200-22-22-200000002-22-2002-2000−22−22−22−22−22−22−22−22000000000000
χ3922-2-22-222-200-22-22-20000000-22-2200-220002−22−22−22−2−22−22−22−22000000000000
χ4022-2-22-222-200-22-22-20000000-22-2200-22000−22−22−22−222−22−22−22−2000000000000
χ4122-2-22-222-200-2-22-2200000002-22-200-220002−22−2−22−222−22−2−22−22000000000000
χ4222-2-22-222-200-2-22-2200000002-22-200-22000−22−222−22−2−22−222−22−2000000000000
χ4322-2-22-222-200-2-22-220000000-22-22002-20002−22−2−22−22−22−222−22−2000000000000
χ4422-2-22-222-200-2-22-220000000-22-22002-2000−22−222−22−22−22−2−22−22000000000000
χ4522-2-2-22-22-20020000002i−2i02i−2i2-2-22000002i−2i2−2−22i2−i2−i2i22−2−22i2−i2−i2i2000000000000
χ4622-2-2-22-22-20020000002i−2i02i−2i2-2-22000002i−2i−222−2−i2i2i2−i2−222−2−i2i2i2−i2000000000000
χ4722-2-2-22-22-20020000002i−2i02i−2i-222-200000−2i2i2−2−22i2−i2−i2i2−222−2−i2i2i2−i2000000000000
χ4822-2-2-22-22-20020000002i−2i02i−2i-222-200000−2i2i−222−2−i2i2i2−i22−2−22i2−i2−i2i2000000000000
χ4922-2-2-22-22-2002000000−2i2i0−2i2i2-2-2200000−2i2i2−2−22−i2i2i2−i22−2−22−i2i2i2−i2000000000000
χ5022-2-2-22-22-2002000000−2i2i0−2i2i2-2-2200000−2i2i−222−2i2−i2−i2i2−222−2i2−i2−i2i2000000000000
χ5122-2-2-22-22-2002000000−2i2i0−2i2i-222-2000002i−2i2−2−22−i2i2i2−i2−222−2i2−i2−i2i2000000000000
χ5222-2-2-22-22-2002000000−2i2i0−2i2i-222-2000002i−2i−222−2i2−i2−i2i22−2−22−i2i2i2−i2000000000000
χ53444444-4-4-444-40000-4-400400000000000000000000000000000000000000000
χ54444444-4-4-4-4-4-400004400-400000000000000000000000000000000000000000
χ5544-4-44-4-4-440040000004i−4i0−4i4i000000000000000000000000000000000000000
χ5644-4-44-4-4-44004000000−4i4i04i−4i000000000000000000000000000000000000000
χ5744-4-4-444-4400-44-4-440000000000000000000000000000000000000000000000
χ5844-4-4-444-4400-4-444-40000000000000000000000000000000000000000000000
χ598-88-80000000000000000000000042−42000000000000000000000000000000000
χ608-88-800000000000000000000000−4242000000000000000000000000000000000
χ618-8-88000008-8000000000000000000000000000000000000000000000000000
χ628-8-8800000-88000000000000000000000000000000000000000000000000000

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