Finite Group Databasebeta

← Group #296598

Character table — Group #296598

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442222444448888888844444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-111111111-111-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111
χ91111111111111-1-1-1-1-1-111111-1-111-1111111-1-1-1-1-1111-1-11-1-1-11-111-1-111-1-1
χ101111111111111-1-1-1-1-1-111111-1-111-111-1-1-1-11111-1-1-11-1-11-1111-1-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-11-1-11-11-1111-11-1-11111-1-1
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-11111-1111111-1-1-1-1-1-1-1-11-1-1111-1111-1-1-1-111
χ141111111111111-1-1-1-1-1-1111-1-11111-111-1-1-1-11111-111-11-1-11-1-1-11-1-11111-1-1
χ151111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-1-1-1111-1111-1-1-11-1-1-111-1-111
χ161111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1111-1111-111-1-111-1-1
χ17222222222222-22222-2-2-2-2-2222200-20000000000000-2-2000000000000000
χ18222222222222-22222-2-2-2-2-2-2-2-2-200-2000000000000022000000000000000
χ19222222222222-2-2-2-2-222-2-2-222-2-20020000000000000-22000000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-22200200000000000002-2000000000000000
χ2122222222-2-2-2-2222-2-222-2-22000022-2-2-200000000-20000200000000000000
χ2222222222-2-2-2-2222-2-222-2-220000-2-2-2220000000020000-200000000000000
χ2322222222-2-2-2-22-2-222-2-2-2-220000222-2-20000000020000-200000000000000
χ2422222222-2-2-2-22-2-222-2-2-2-220000-2-222200000000-20000200000000000000
χ2522222222-2-2-2-2-222-2-2-2-222-2000000200000000000000002200-2-200000000
χ2622222222-2-2-2-2-222-2-2-2-222-200000020000000000000000-2-2002200000000
χ2722222222-2-2-2-2-2-2-2222222-2000000-200000000000000002-200-2200000000
χ2822222222-2-2-2-2-2-2-2222222-2000000-20000000000000000-22002-200000000
χ29222-22-2-2-22-22-2-20000002-2200002i−2i02i−2i000022-2-2000000000000002i−2i0000
χ30222-22-2-2-22-22-2-20000002-2200002i−2i02i−2i0000-2-22200000000000000−2i2i0000
χ31222-22-2-2-22-22-2-20000002-220000−2i2i0−2i2i000022-2-200000000000000−2i2i0000
χ32222-22-2-2-22-22-2-20000002-220000−2i2i0−2i2i0000-2-222000000000000002i−2i0000
χ33222-22-2-2-2-22-22-2000000-22200002i−2i0−2i2i22-2-200000000000000002i−2i000000
χ34222-22-2-2-2-22-22-2000000-22200002i−2i0−2i2i-2-2220000000000000000−2i2i000000
χ35222-22-2-2-2-22-22-2000000-2220000−2i2i02i−2i22-2-20000000000000000−2i2i000000
χ36222-22-2-2-2-22-22-2000000-2220000−2i2i02i−2i-2-22200000000000000002i−2i000000
χ3722-22-22-2-2-2-22202-22-2000002-22-200000i2−i2i2−i2i2−i2i2−i20000000000000000i2−i2i2−i2
χ3822-22-22-2-2-2-22202-22-2000002-22-200000−i2i2−i2i2−i2i2−i2i20000000000000000−i2i2−i2i2
χ3922-22-22-2-2-2-22202-22-200000-22-2200000i2−i2i2−i2i2−i2i2−i20000000000000000−i2i2−i2i2
χ4022-22-22-2-2-2-22202-22-200000-22-2200000−i2i2−i2i2−i2i2−i2i20000000000000000i2−i2i2−i2
χ4122-22-22-2-2-2-2220-22-22000002-2-2200000i2−i2i2−i2−i2i2−i2i20000000000000000i2−i2−i2i2
χ4222-22-22-2-2-2-2220-22-22000002-2-2200000−i2i2−i2i2i2−i2i2−i20000000000000000−i2i2i2−i2
χ4322-22-22-2-2-2-2220-22-2200000-222-200000i2−i2i2−i2−i2i2−i2i20000000000000000−i2i2i2−i2
χ4422-22-22-2-2-2-2220-22-2200000-222-200000−i2i2−i2i2i2−i2i2−i20000000000000000i2−i2−i2i2
χ45444-44-4-4-44-44-44000000-44-40000000000000000000000000000000000000
χ46444-44-4-4-4-44-4440000004-4-40000000000000000000000000000000000000
χ4744-44-44-4-444-4-404-4-44000000000000000000000000000000000000000000
χ4844-44-44-4-444-4-40-444-4000000000000000000000000000000000000000000
χ4944-4-4-4-4444-4-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-4-4-4-4444-4-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5144-4-4-4-444-444-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-4-4-4-444-444-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-444-4-44-40000000004i−4i0000000000000000000002-2000002i−2i0000000000
χ544-444-4-44-40000000004i−4i000000000000000000000-2200000−2i2i0000000000
χ554-444-4-44-4000000000−4i4i0000000000000000000002-200000−2i2i0000000000
χ564-444-4-44-4000000000−4i4i000000000000000000000-22000002i−2i0000000000
χ578-88-8-88-88000000000000000000000000000000000000000000000000000
χ588-8-888-8-88000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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