Finite Group Databasebeta

← Group #292142

Character table — Group #292142

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111111-1-1-1-1
χ511111111111111111111111-1-111-1-11111111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-11111111111-11-1-11-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1-1-111111111
χ9111111111111-1-1-1-1-1-11111-11111-1-1111111-1-1-1-11-11-1-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11111-11111-1-111-1-1-1-111111-11-1-1-11-1-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1111-11-11-1-111-1-11111-1-1
χ12111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111-1111-11-1111-1-111-1-1-1-111
χ13111111111111-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-11111-11-111-1-1-111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11-1-1-1111111-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-222200-2-2000000000000-202000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22-2-2002200000000000020-2000000000000000
χ19222222222222-2-22222-2-2-2-2-2220022000000000000-20-2000000000000000
χ20222222222222-2-22222-2-2-2-2-2-2-200-2-2000000000000202000000000000000
χ2122222222-2-2-2-22222-2-22-2-22-200000000000000002-20200-20000000000000
χ2222222222-2-2-2-22222-2-22-2-22-20000000000000000-220-20020000000000000
χ2322222222-2-2-2-222-2-222-222-2-2002200-2-20000000000000-202000000000000
χ2422222222-2-2-2-222-2-222-222-2-200-2-20022000000000000020-2000000000000
χ2522222222-2-2-2-2-2-222-2-2-222-22002200-2-2000000000000020-2000000000000
χ2622222222-2-2-2-2-2-222-2-2-222-2200-2-200220000000000000-202000000000000
χ2722222222-2-2-2-2-2-2-2-2222-2-2220000000000000000220-200-20000000000000
χ2822222222-2-2-2-2-2-2-2-2222-2-2220000000000000000-2-2020020000000000000
χ2922-222-2-2-22-2-22002-22-2000002i−2i002i−2i00i2i2−i2−i2i2i2−i2−i200000000000000002−22−2
χ3022-222-2-2-22-2-22002-22-2000002i−2i002i−2i00−i2−i2i2i2−i2−i2i2i20000000000000000−22−22
χ3122-222-2-2-22-2-22002-22-200000−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i20000000000000000−22−22
χ3222-222-2-2-22-2-22002-22-200000−2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i200000000000000002−22−2
χ3322-222-2-2-22-2-2200-22-22000002i−2i00−2i2i00i2i2−i2−i2−i2−i2i2i200000000000000002−2−22
χ3422-222-2-2-22-2-2200-22-22000002i−2i00−2i2i00−i2−i2i2i2i2i2−i2−i20000000000000000−222−2
χ3522-222-2-2-22-2-2200-22-2200000−2i2i002i−2i00i2i2−i2−i2−i2−i2i2i20000000000000000−222−2
χ3622-222-2-2-22-2-2200-22-2200000−2i2i002i−2i00−i2−i2i2i2i2i2−i2−i200000000000000002−2−22
χ372-22-22-22-222-2-2000000-22-220002i−2i002i−2i00002-22-2000000000000002i−2i0000
χ382-22-22-22-222-2-2000000-22-220002i−2i002i−2i0000-22-2200000000000000−2i2i0000
χ392-22-22-22-222-2-2000000-22-22000−2i2i00−2i2i00002-22-200000000000000−2i2i0000
χ402-22-22-22-222-2-2000000-22-22000−2i2i00−2i2i0000-22-22000000000000002i−2i0000
χ412-22-22-22-2-2-22200000022-2-20002i−2i00−2i2i2i−2i2i−2i00000000000000002-2000000
χ422-22-22-22-2-2-22200000022-2-20002i−2i00−2i2i−2i2i−2i2i0000000000000000-22000000
χ432-22-22-22-2-2-22200000022-2-2000−2i2i002i−2i2i−2i2i−2i0000000000000000-22000000
χ442-22-22-22-2-2-22200000022-2-2000−2i2i002i−2i−2i2i−2i2i00000000000000002-2000000
χ4544-444-4-4-4-444-4004-4-4400000000000000000000000000000000000000000
χ4644-444-4-4-4-444-400-444-400000000000000000000000000000000000000000
χ4744-4-4-444-400004i−4i0000000000000000000000000000000002i−2i2-200000000
χ4844-4-4-444-400004i−4i000000000000000000000000000000000−2i2i-2200000000
χ4944-4-4-444-40000−4i4i0000000000000000000000000000000002i−2i-2200000000
χ5044-4-4-444-40000−4i4i000000000000000000000000000000000−2i2i2-200000000
χ514-44-44-44-444-4-40000004-44-40000000000000000000000000000000000000
χ524-44-44-44-4-4-444000000-4-4440000000000000000000000000000000000000
χ534-4-4-444-444-44-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ544-4-4-444-444-44-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-4-4-444-44-44-44000000000000000000022−22−2222000000000000000000000000
χ564-4-4-444-44-44-440000000000000000000−222222−22000000000000000000000000
χ57888-8-8-8-88000000000000000000000000000000000000000000000000000
χ588-888-88-8-8000000000000000000000000000000000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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