Finite Group Databasebeta

← Group #500593

Character table — Group #500593

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11222222222224444444444448888888161616161616161616161616161616161616161616161616
order1222244448888444444888888244888822244444444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-1111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111-1-1-1-1111111-1-11-1-1-1-111-111-111-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-11-1-11-1-11111-1-111-1-1-1-11111
χ8111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ9111111111-1-111-1-1111111-1-1-11-1-1-1-1-111111-1-111111-1-1-1-1-1-111-1-111-1-1
χ10111111111-1-111-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111
χ11111111111-1-111-1-1111111-1-1-11-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-111
χ12111111111-1-111-1-1111111-1-1-11-1-1-1-1-111-1-1-111-1-1-1-1-111111111-1-111-1-1
χ13111111111-1-111-1-1-1-1-1-111-1-1-1111-111-1-1111-1-11-1-1-1-11111-1-111-1-1-1-111
χ14111111111-1-111-1-1-1-1-1-111-1-1-1111-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ15111111111-1-111-1-1-1-1-1-111-1-1-1111-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ16111111111-1-111-1-1-1-1-1-111-1-1-1111-111-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111
χ1722222222222-2-2-2-22222-2-2222-2-2-2-222-2-2000000000000000000000000
χ1822222222222-2-2-2-2-2-2-2-2-2-2222-222-2-2-222000000000000000000000000
χ19222222222-2-2-2-2222222-2-2-2-2-2-2222-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222000000000000000000000000
χ21222-2-22-2-222200002i2i−2i−2i002-2-200002i−2i0000000000000000002−22−2i2−i2i2−i2
χ22222-2-22-2-222200002i2i−2i−2i002-2-200002i−2i000000000000000000−22−22−i2i2−i2i2
χ23222-2-22-2-22220000−2i−2i2i2i002-2-20000−2i2i0000000000000000002−22−2−i2i2−i2i2
χ24222-2-22-2-22220000−2i−2i2i2i002-2-20000−2i2i000000000000000000−22−22i2−i2i2−i2
χ25222-2-22-2-22-2-200002i2i−2i−2i00-2220000−2i2i0000000000000000002−2−22i2−i2−i2i2
χ26222-2-22-2-22-2-200002i2i−2i−2i00-2220000−2i2i000000000000000000−222−2−i2i2i2−i2
χ27222-2-22-2-22-2-20000−2i−2i2i2i00-22200002i−2i0000000000000000002−2−22−i2i2i2−i2
χ28222-2-22-2-22-2-20000−2i−2i2i2i00-22200002i−2i000000000000000000−222−2i2−i2−i2i2
χ29222-2-2-222-20022002i−2i2i−2i2-2000-2000002i−2i00200-22i−2i0000000000000000
χ30222-2-2-222-20022002i−2i2i−2i2-2000-2000002i−2i00-2002−2i2i0000000000000000
χ31222-2-2-222-2002200−2i2i−2i2i2-2000-200000−2i2i00200-2−2i2i0000000000000000
χ32222-2-2-222-2002200−2i2i−2i2i2-2000-200000−2i2i00-20022i−2i0000000000000000
χ33222-2-2-222-200-2-2002i−2i2i−2i-22000200000−2i2i0000000000002-22i−2i00000000
χ34222-2-2-222-200-2-2002i−2i2i−2i-22000200000−2i2i000000000000-22−2i2i00000000
χ35222-2-2-222-200-2-200−2i2i−2i2i-220002000002i−2i0000000000002-2−2i2i00000000
χ36222-2-2-222-200-2-200−2i2i−2i2i-220002000002i−2i000000000000-222i−2i00000000
χ3722-2-22-22-222222220000-22-22-2-200-200002-202-20000000000000000000
χ3822-2-22-22-222222220000-22-22-2-200-20000-220-220000000000000000000
χ3922-2-22-22-2222-2-2-2-200002-2-22-220020000000000002-22-2000000000000
χ4022-2-22-22-2222-2-2-2-200002-2-22-22002000000000000-22-22000000000000
χ4122-2-22-22-22-2-222-2-20000-222-22-200200002-20-220000000000000000000
χ4222-2-22-22-22-2-222-2-20000-222-22-20020000-2202-20000000000000000000
χ4322-2-22-22-22-2-2-2-22200002-22-22200-20000000000002-2-22000000000000
χ4422-2-22-22-22-2-2-2-22200002-22-22200-2000000000000-222-2000000000000
χ4544444-4-4-4-40000004-4-440000000000000000000000000000000000000
χ4644444-4-4-4-4000000-444-40000000000000000000000000000000000000
χ4744-44-444-4-40044000000-4-400040000000000000000000000000000000
χ4844-44-444-4-400-4-400000044000-40000000000000000000000000000000
χ4944-44-4-4-444440000000000-4-4400000000000000000000000000000000
χ5044-44-4-4-444-4-4000000000044-400000000000000000000000000000000
χ5144-4-444-44-400000000000000004-400000000000000000000000000000
χ5244-4-444-44-40000000000000000-4400000000000000000000000000000
χ538-800000004i2−4i242−424i−4i00000000000000000000000000000000000000000
χ548-800000004i2−4i2−4242−4i4i00000000000000000000000000000000000000000
χ558-80000000−4i24i242−42−4i4i00000000000000000000000000000000000000000
χ568-80000000−4i24i2−42424i−4i00000000000000000000000000000000000000000

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