Finite Group Databasebeta

← Group #502379

Character table — Group #502379

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11222222222224444444488888888888888888161616161616161616161616161616163232
order12222444488884488888844444444416161616161616162444448888881616161644
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111111111-1-1-1-1111-1-111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ9111111111-1-111-1-111-1-1-11111111-1-1-11111-1-1-1-1-111-1-1-1-1-11-11111-1-11-1
χ10111111111-1-111-1-111-1-1-11111111-1-1-1-1-1-1-11111111-1-11-1-11-1-1-1-1-111-11
χ11111111111-1-111-1-111-1-1-111111-1-111-11111-1-1-1-1-1-1-111-1-1-1-1111-1-111-11
χ12111111111-1-111-1-111-1-1-111111-1-111-1-1-1-1-111111-1-1111-1-1-11-1-111-1-11-1
χ13111111111-1-111-1-111-1-1-11-1-1-1-111-1-1-11111-1-1-1-11-1-1111111-1-1-111-1-1-11
χ14111111111-1-111-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1-11111-1-1-111-1111-111-1-1111-1
χ15111111111-1-111-1-111-1-1-11-1-1-1-1-1-111-11111-1-1-1-1111-1-1111-11-1-1-1-1111-1
χ16111111111-1-111-1-111-1-1-11-1-1-1-1-1-111-1-1-1-1-11111-111-1-1-111-111111-1-1-11
χ1722222222222-2-2-2-2-2-2222-200002222-20000000000000000-2-200000000
χ1822222222222-2-2-2-2-2-2222-20000-2-2-2-2-200000000000000002200000000
χ19222222222-2-2-2-222-2-2-2-2-2-2000022-2-220000000000000000-2200000000
χ20222222222-2-2-2-222-2-2-2-2-2-20000-2-222200000000000000002-200000000
χ21222-2-222-2-20022002-2000-22i2i−2i−2i0000000002i2i−2i−2i20000-2000000000000
χ22222-2-222-2-20022002-2000-22i2i−2i−2i000000000−2i−2i2i2i-200002000000000000
χ23222-2-222-2-20022002-2000-2−2i−2i2i2i0000000002i2i−2i−2i-200002000000000000
χ24222-2-222-2-20022002-2000-2−2i−2i2i2i000000000−2i−2i2i2i20000-2000000000000
χ25222-2-2-2-222220000002-2-2000002i−2i2i−2i0i2i2−i2−i2i2−i2i2−i20000000000002−22−200
χ26222-2-2-2-222220000002-2-2000002i−2i2i−2i0−i2−i2i2i2−i2i2−i2i2000000000000−22−2200
χ27222-2-2-2-222220000002-2-200000−2i2i−2i2i0i2i2−i2−i2i2−i2i2−i2000000000000−22−2200
χ28222-2-2-2-222220000002-2-200000−2i2i−2i2i0−i2−i2i2i2−i2i2−i2i20000000000002−22−200
χ29222-2-2-2-222-2-2000000-222000002i−2i−2i2i0i2i2−i2−i2−i2i2−i2i20000000000002−2−2200
χ30222-2-2-2-222-2-2000000-222000002i−2i−2i2i0−i2−i2i2i2i2−i2i2−i2000000000000−222−200
χ31222-2-2-2-222-2-2000000-22200000−2i2i2i−2i0i2i2−i2−i2−i2i2−i2i2000000000000−222−200
χ32222-2-2-2-222-2-2000000-22200000−2i2i2i−2i0−i2−i2i2i2i2−i2i2−i20000000000002−2−2200
χ3322-22-22-22-200-2-2002-200022-22-2000002i−2i2i−2i000000000000002i−2i000000
χ3422-22-22-22-200-2-2002-200022-22-200000−2i2i−2i2i00000000000000−2i2i000000
χ3522-22-22-22-200-2-2002-20002-22-22000002i−2i2i−2i00000000000000−2i2i000000
χ3622-22-22-22-200-2-2002-20002-22-2200000−2i2i−2i2i000000000000002i−2i000000
χ3722-2-222-2-22222222-2-2-22-2200000000-20000000002-22-20000000000000
χ3822-2-222-2-22222222-2-2-22-2200000000-2000000000-22-220000000000000
χ3922-2-222-2-2222-2-2-2-222-22-2-22i−2i−2i2i00002000000000000002i−2i0000000000
χ4022-2-222-2-2222-2-2-2-222-22-2-2−2i2i2i−2i0000200000000000000−2i2i0000000000
χ4122-2-222-2-22-2-222-2-2-2-22-2220000000020000000002-2-220000000000000
χ4222-2-222-2-22-2-222-2-2-2-22-222000000002000000000-222-20000000000000
χ4322-2-222-2-22-2-2-2-222222-22-22i−2i−2i2i0000-200000000000000−2i2i0000000000
χ4422-2-222-2-22-2-2-2-222222-22-2−2i2i2i−2i0000-2000000000000002i−2i0000000000
χ4544444-4-4-4-4000000000000000000000000022−22−2222000000000000000000
χ4644444-4-4-4-40000000000000000000000000−222222−22000000000000000000
χ47444-4-444-4-400-4-400-44000400000000000000000000000000000000000
χ4844-44-44-44-4004400-44000-400000000000000000000000000000000000
χ4944-44-4-44-4444000000-4-44000000000000000000000000000000000000
χ5044-44-4-44-44-4-400000044-4000000000000000000000000000000000000
χ5144-4-44-444-400000000000000000000022−22−22220000000000000000000000
χ5244-4-44-444-4000000000000000000000−222222−220000000000000000000000
χ538-8000000042−4242−424-400000000000000000000000000000000000000000
χ548-8000000042−42−4242-4400000000000000000000000000000000000000000
χ558-80000000−424242−42-4400000000000000000000000000000000000000000
χ568-80000000−4242−42424-400000000000000000000000000000000000000000

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