Finite Group Databasebeta

← Group #247245

Character table — Group #247245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444444488888888222224444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-11111111-1-111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-1
χ711111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111111111-11111-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111
χ91111111111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-111-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-1-1-11111-111111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-11-1-111-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-111111-1-1-1-1-1111111-1-111-1-1
χ172222222222-2-222-2-222220000-2-2-2-222-20022000000000000-20000-2000000000000
χ182222222222-2-222-2-222220000-2-2-2-2-2-2-200-2-2000000000000200002000000000000
χ192222222222-2-222-2-2-2-2-2-2000022-2-222200-2-200000000000020000-2000000000000
χ202222222222-2-222-2-2-2-2-2-2000022-2-2-2-220022000000000000-200002000000000000
χ2122222222-2-222-2-22222-2-22222-2-2-2-20022200-2-2-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2002-2-200222200000000000000000000000000
χ2322222222-2-222-2-222-2-222222222-2-200-2-2-200-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-222-2-200-2220022-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-20000222200-2000000000000000002-20002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-20000222200-200000000000000000-22000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2220000-2-222002000000000000000002-2000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2220000-2-22200200000000000000000-220002-20000000000
χ29222-2-2-22-2002-2002-2002i−2i22-2-22i−2i000000000002i−2ii2i2−i2−i222−2−20000000000i2−i22−20000
χ30222-2-2-22-2002-2002-2002i−2i22-2-22i−2i000000000002i−2i−i2−i2i2i2−2−2220000000000−i2i2−220000
χ31222-2-2-22-2002-2002-2002i−2i-2-2222i−2i00000000000−2i2ii2i2−i2−i222−2−20000000000−i2i2−220000
χ32222-2-2-22-2002-2002-2002i−2i-2-2222i−2i00000000000−2i2i−i2−i2i2i2−2−2220000000000i2−i22−20000
χ33222-2-2-22-2002-2002-200−2i2i22-2-2−2i2i00000000000−2i2ii2i2−i2−i2−2−2220000000000i2−i2−220000
χ34222-2-2-22-2002-2002-200−2i2i22-2-2−2i2i00000000000−2i2i−i2−i2i2i222−2−20000000000−i2i22−20000
χ35222-2-2-22-2002-2002-200−2i2i-2-222−2i2i000000000002i−2ii2i2−i2−i2−2−2220000000000−i2i22−20000
χ36222-2-2-22-2002-2002-200−2i2i-2-222−2i2i000000000002i−2i−i2−i2i2i222−2−20000000000i2−i2−220000
χ372-2-22-2-2222-2-2-22-22200002-22-2002-200000002-20000000000000000002-20000002-2
χ382-2-22-2-2222-2-2-22-22200002-22-2002-200000002-2000000000000000000-22000000-22
χ392-2-22-2-2222-2-2-22-2220000-22-22002-20000000-220000000000000000002-2000000-22
χ402-2-22-2-2222-2-2-22-2220000-22-22002-20000000-22000000000000000000-220000002-2
χ412-2-22-2-222-22-2-2-222200002-22-200-220000000-2200000000000002-20000000002-200
χ422-2-22-2-222-22-2-2-222200002-22-200-220000000-220000000000000-22000000000-2200
χ432-2-22-2-222-22-2-2-22220000-22-2200-2200000002-200000000000002-2000000000-2200
χ442-2-22-2-222-22-2-2-22220000-22-2200-2200000002-20000000000000-220000000002-200
χ45444-4-4-44-400-4400-44004i−4i0000−4i4i000000000000000000000000000000000000000
χ46444-4-4-44-400-4400-4400−4i4i00004i−4i000000000000000000000000000000000000000
χ4744-444-4-4-44400-4-40000000000000000000000000000022−2222−22000000000000000000
χ4844-444-4-4-44400-4-400000000000000000000000000000−2222−2222000000000000000000
χ4944-444-4-4-4-4-4004400000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5044-444-4-4-4-4-400440000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ5144-4-4-44-44000000004-40000000000000000000002-2-222-2-22000000000000000000
χ5244-4-4-44-44000000004-4000000000000000000000-222-2-222-2000000000000000000
χ5344-4-4-44-4400000000-440000000000000000000002-2-22-222-2000000000000000000
χ5444-4-4-44-4400000000-44000000000000000000000-222-22-2-22000000000000000000
χ554-444-44-4-44-400-44000000000000004i−4i00000000000000000000000000000000000
χ564-444-44-4-44-400-4400000000000000−4i4i00000000000000000000000000000000000
χ574-444-44-4-4-44004-400000000000000000004i−4i000000000000000000000000000000
χ584-444-44-4-4-44004-40000000000000000000−4i4i000000000000000000000000000000
χ594-4-44-4-4444-4444-4-4-40000000000-440000000000000000000000000000000000000
χ604-4-44-4-444-4444-44-4-400000000004-40000000000000000000000000000000000000
χ614-4-4-4444-4004-400-440000000000000004-400000000000000000000000000000000
χ624-4-4-4444-4004-400-44000000000000000-4400000000000000000000000000000000
χ634-4-4-4444-400-44004-400004-4-4400000000000000000000000000000000000000000
χ644-4-4-4444-400-44004-40000-444-400000000000000000000000000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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