Finite Group Databasebeta

← Group #292155

Character table — Group #292155

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444444444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-1-1-1-1-11-1-1-11-1-11111-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1111-1-1111-111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-111111111
χ9111111111111-1-1-1-11-1-11111111-1-1-1111111-1-1-1-11-11-1-1-1111-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-1-1-111-1-1-1-111111-11-1-1-11-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1111-1-11111-1-1
χ12111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1111-1-111-1-1-1-111
χ13111111111111-1-1-1-11-1-1111-1-111-111111111-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11-1-1111-1-111-11111-1-1-1-11111-11-111-1-111-1-1-1-1-11111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-11-1111111-1-1-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-11-1111-1-111111-1-111-1-1
χ172222222222222222-2-2-2-2-2-22200-2220000000000-2000-2000000000000000
χ182222222222222222-2-2-2-2-2-2-2-200-2-2-2000000000020002000000000000000
χ19222222222222-2-2-2-2-222-2-2-222002-2-20000000000-20002000000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-20022200000000002000-2000000000000000
χ2122222222-2-2-2-222-2-2222-2-220000-2000000000000022-200-20000000000000
χ2222222222-2-2-2-222-2-2222-2-220000-20000000000000-2-220020000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-20022200-2-20000000000000-200020000000000
χ2422222222-2-2-2-222-2-2-2-2-222-200-2-22002200000000000002000-20000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-220000200000000000002-2-20020000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22000020000000000000-22200-20000000000000
χ2722222222-2-2-2-2-2-222-22222-20022-200-2-200000000000002000-20000000000
χ2822222222-2-2-2-2-2-222-22222-200-2-2-200220000000000000-200020000000000
χ29222-22-2-2-22-2-222-22-20000002i−2i0002i−2i00i2i2−i2−i2i2i2−i2−i200000000000000002−22−2
χ30222-22-2-2-22-2-222-22-20000002i−2i0002i−2i00−i2−i2i2i2−i2−i2i2i20000000000000000−22−22
χ31222-22-2-2-22-2-222-22-2000000−2i2i000−2i2i00i2i2−i2−i2i2i2−i2−i20000000000000000−22−22
χ32222-22-2-2-22-2-222-22-2000000−2i2i000−2i2i00−i2−i2i2i2−i2−i2i2i200000000000000002−22−2
χ33222-22-2-2-22-2-22-22-220000002i−2i000−2i2i00i2i2−i2−i2−i2−i2i2i200000000000000002−2−22
χ34222-22-2-2-22-2-22-22-220000002i−2i000−2i2i00−i2−i2i2i2i2i2−i2−i20000000000000000−222−2
χ35222-22-2-2-22-2-22-22-22000000−2i2i0002i−2i00i2i2−i2−i2−i2−i2i2i20000000000000000−222−2
χ36222-22-2-2-22-2-22-22-22000000−2i2i0002i−2i00−i2−i2i2i2i2i2−i2−i200000000000000002−2−22
χ3722-22-2-22-222-2-20000-2002-22002i−2i0002i−2i00002-22-2000000000000002i−2i0000
χ3822-22-2-22-222-2-20000-2002-22002i−2i0002i−2i0000-22-2200000000000000−2i2i0000
χ3922-22-2-22-222-2-20000-2002-2200−2i2i000−2i2i00002-22-200000000000000−2i2i0000
χ4022-22-2-22-222-2-20000-2002-2200−2i2i000−2i2i0000-22-22000000000000002i−2i0000
χ4122-22-2-22-2-2-22200002002-2-2002i−2i000−2i2i2i−2i2i−2i00000000000000002-2000000
χ4222-22-2-22-2-2-22200002002-2-2002i−2i000−2i2i−2i2i−2i2i0000000000000000-22000000
χ4322-22-2-22-2-2-22200002002-2-200−2i2i0002i−2i2i−2i2i−2i0000000000000000-22000000
χ4422-22-2-22-2-2-22200002002-2-200−2i2i0002i−2i−2i2i−2i2i00000000000000002-2000000
χ45444-44-4-4-4-444-44-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-444-4-444-40000000000000000000000000000000000000000000
χ4744-44-4-44-444-4-40000400-44-40000000000000000000000000000000000000
χ4844-44-4-44-4-4-4440000-400-4440000000000000000000000000000000000000
χ4944-4-4-44-444-44-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-4-4-44-444-44-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-4-44-44-44-44000000000000000000022−22−2222000000000000000000000000
χ5244-4-4-44-44-44-440000000000000000000−222222−22000000000000000000000000
χ534-44-4-4-4440000000004-40000000000000000000000000002-202-200000000
χ544-44-4-4-4440000000004-4000000000000000000000000000-220-2200000000
χ554-44-4-4-444000000000-440000000000000000000000000002-20-2200000000
χ564-44-4-4-444000000000-44000000000000000000000000000-2202-200000000
χ578-888-88-8-8000000000000000000000000000000000000000000000000000
χ588-8-888-8-88000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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