Finite Group Databasebeta

← Group #512110

Character table — Group #512110

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11222222244444444444444448888888888888888888888161616161616161632323232
order1222244442244888888888888222244444444888888888816161616161616162488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ9111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ10111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ11111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11
χ12111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1
χ13111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-111-1
χ15111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-111-1
χ16111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222222-2-2-2-200000000-2-2-2-2-2-200000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-200000000000000000000
χ19222222222-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-2222200000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-22200000000000000000000
χ2122222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000002−22−2i2−i2i2−i20000
χ2222222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000−22−22−i2i2−i2i20000
χ2322222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000002−22−2−i2i2−i2i20000
χ2422222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−22−22i2−i2i2−i20000
χ2522222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000002−2−22i2−i2−i2i20000
χ2622222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000−222−2−i2i2i2−i20000
χ2722222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000002−2−22−i2i2i2−i20000
χ2822222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000−222−2i2−i2−i2i20000
χ29222-2-222-2-2000000002i−2i2i−2i22-2-2002200-2-2002i−2i002i2i−2i−2i0000000000000000
χ30222-2-222-2-2000000002i−2i2i−2i22-2-200-2-20022002i−2i00−2i−2i2i2i0000000000000000
χ31222-2-222-2-2000000002i−2i2i−2i-2-2222200-2-20000−2i2i0000002i2i−2i−2i000000000000
χ32222-2-222-2-2000000002i−2i2i−2i-2-222-2-200220000−2i2i000000−2i−2i2i2i000000000000
χ33222-2-222-2-200000000−2i2i−2i2i22-2-2002200-2-200−2i2i00−2i−2i2i2i0000000000000000
χ34222-2-222-2-200000000−2i2i−2i2i22-2-200-2-2002200−2i2i002i2i−2i−2i0000000000000000
χ35222-2-222-2-200000000−2i2i−2i2i-2-2222200-2-200002i−2i000000−2i−2i2i2i000000000000
χ36222-2-222-2-200000000−2i2i−2i2i-2-222-2-2002200002i−2i0000002i2i−2i−2i000000000000
χ3722-22-22-22-200002i−2i2i−2i00002-22-2002-2002-22i−2i000000002i−2i2i−2i000000000000
χ3822-22-22-22-200002i−2i2i−2i00002-22-200-2200-222i−2i00000000−2i2i−2i2i000000000000
χ3922-22-22-22-200002i−2i2i−2i0000-22-222-2002-200−2i2i00002i−2i2i−2i0000000000000000
χ4022-22-22-22-200002i−2i2i−2i0000-22-22-2200-2200−2i2i0000−2i2i−2i2i0000000000000000
χ4122-22-22-22-20000−2i2i−2i2i00002-22-2002-2002-2−2i2i00000000−2i2i−2i2i000000000000
χ4222-22-22-22-20000−2i2i−2i2i00002-22-200-2200-22−2i2i000000002i−2i2i−2i000000000000
χ4322-22-22-22-20000−2i2i−2i2i0000-22-222-2002-2002i−2i0000−2i2i−2i2i0000000000000000
χ4422-22-22-22-20000−2i2i−2i2i0000-22-22-2200-22002i−2i00002i−2i2i−2i0000000000000000
χ4522-2-222-2-222-22-2000000002-2-222-22-2-22-2200002-200000000000000000000
χ4622-2-222-2-222-22-2000000002-2-22-22-222-22-200002-200000000000000000000
χ4722-2-222-2-222-22-200000000-222-2000000000000-222-2-222-2-22000000000000
χ4822-2-222-2-222-22-200000000-222-2000000000000-22-222-2-222-2000000000000
χ4922-2-222-2-22-22-22000000002-2-222-2-22-222-20000-2200000000000000000000
χ5022-2-222-2-22-22-22000000002-2-22-222-22-2-220000-2200000000000000000000
χ5122-2-222-2-22-22-2200000000-222-20000000000002-22-2-22-222-2000000000000
χ5222-2-222-2-22-22-2200000000-222-20000000000002-2-222-22-2-22000000000000
χ53444-4-4-4-444000000004-4-4400000000000000000000000000000000000000
χ54444-4-4-4-44400000000-444-400000000000000000000000000000000000000
χ5544-44-4-44-4400004-4-44000000000000000000000000000000000000000000
χ5644-44-4-44-440000-444-4000000000000000000000000000000000000000000
χ5744-4-44-444-44-4-440000000000000000000000000000000000000000000000
χ5844-4-44-444-4-444-40000000000000000000000000000000000000000000000
χ5916-16000000000000000000000000000000000000000000000000000000000

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