Finite Group Databasebeta

← Group #273156

Character table — Group #273156

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222444444442444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111
χ511111111111111111111111-1-111-1-11111111111-1-1-11-1-11-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-111111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-111111111-111-11-1-111111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1-111111111
χ9111111111111-1-11-1-1-1-1111-1111111-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11-1-1-1-1111-1111111-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-111-1-111
χ11111111111111-1-11-1-1-1-1111-111-1-111111111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-111
χ12111111111111-1-11-1-1-1-1111-111-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-11111-1-1
χ13111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111-11-11-11-1-111-1-11111-1-1
χ14111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1111-1-111-1-1-1-111
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-11-11-1111-111-1-1-1-111-1-111
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111111-11-1111-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-22002200-2-200000000000-20020000000000000
χ1822222222222222-2-2-2-2-2-2-2-2200-2-2002200000000000200-20000000000000
χ19222222222222-2-2-22222-2-2-2-20022002200000000000-200-20000000000000
χ20222222222222-2-2-22222-2-2-2-200-2-200-2-20000000000020020000000000000
χ2122222222-2-2-2-222222-2-2-2-22-2000000000000000002-20200-2000000000000
χ2222222222-2-2-2-222222-2-2-2-22-200000000000000000-220-2002000000000000
χ2322222222-2-2-2-222-2-2-22222-2-22200-2-20000000000-20000200000000000000
χ2422222222-2-2-2-222-2-2-22222-2-2-2-20022000000000020000-200000000000000
χ2522222222-2-2-2-2-2-22-2-222-2-22200000000000000000220-200-2000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-22200000000000000000-2-202002000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-222200-2-2000000000020000-200000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-22-2-200220000000000-20000200000000000000
χ2922-2-222-2-22-22-20002i−2i2i−2i0000002-2002i−2ii2i2−i2−i222−2−20000000000000000i2−i22−2
χ3022-2-222-2-22-22-20002i−2i2i−2i0000002-2002i−2i−i2−i2i2i2−2−2220000000000000000−i2i2−22
χ3122-2-222-2-22-22-20002i−2i2i−2i000000-2200−2i2ii2i2−i2−i222−2−20000000000000000−i2i2−22
χ3222-2-222-2-22-22-20002i−2i2i−2i000000-2200−2i2i−i2−i2i2i2−2−2220000000000000000i2−i22−2
χ3322-2-222-2-22-22-2000−2i2i−2i2i0000002-200−2i2ii2i2−i2−i2−2−2220000000000000000i2−i2−22
χ3422-2-222-2-22-22-2000−2i2i−2i2i0000002-200−2i2i−i2−i2i2i222−2−20000000000000000−i2i22−2
χ3522-2-222-2-22-22-2000−2i2i−2i2i000000-22002i−2ii2i2−i2−i2−2−2220000000000000000−i2i22−2
χ3622-2-222-2-22-22-2000−2i2i−2i2i000000-22002i−2i−i2−i2i2i222−2−20000000000000000i2−i2−22
χ372-2-2-22-22222-2-200200002-2-202-2002-20000002i−2i2i−2i000000000000002i−2i0000
χ382-2-2-22-22222-2-200200002-2-202-2002-2000000−2i2i−2i2i00000000000000−2i2i0000
χ392-2-2-22-22222-2-200200002-2-20-2200-220000002i−2i2i−2i00000000000000−2i2i0000
χ402-2-2-22-22222-2-200200002-2-20-2200-22000000−2i2i−2i2i000000000000002i−2i0000
χ412-2-2-22-222-2-22200-200002-2202-200-22002-22-200000000000000002-2000000
χ422-2-2-22-222-2-22200-200002-2202-200-2200-22-220000000000000000-22000000
χ432-2-2-22-222-2-22200-200002-220-22002-2002-22-20000000000000000-22000000
χ442-2-2-22-222-2-22200-200002-220-22002-200-22-2200000000000000002-2000000
χ4544-44-4-4-4400004-40000000000000000000000000000000002i−2i2i−2i00000000
χ4644-44-4-4-4400004-4000000000000000000000000000000000−2i2i−2i2i00000000
χ4744-44-4-4-440000-440000000000000000000000000000000002i−2i−2i2i00000000
χ4844-44-4-4-440000-44000000000000000000000000000000000−2i2i2i−2i00000000
χ4944-4-444-4-4-44-440004i−4i−4i4i0000000000000000000000000000000000000000
χ5044-4-444-4-4-44-44000−4i4i4i−4i0000000000000000000000000000000000000000
χ514-4444-4-4-44-4-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ524-4444-4-4-44-4-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-4444-4-4-4-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ544-4444-4-4-4-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ554-4-4-44-44444-4-400-40000-4440000000000000000000000000000000000000
χ564-4-4-44-444-4-4440040000-44-40000000000000000000000000000000000000
χ57888-8-8-88-8000000000000000000000000000000000000000000000000000
χ588-88-8-88-88000000000000000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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