Finite Group Databasebeta

← Group #259347

Character table — Group #259347

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442222444444444488888888222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ51111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ91111111111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1111-11-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1111-1-11111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-111-11-11-1-1-1-111-1-111
χ141111111111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-111111-1-111-1-1
χ151111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-11111-1-1-1-111
χ161111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-1
χ172222222222-2-2-222-222-2-2-2-222-2-22-200000000000000000000-22000000000000
χ182222222222-2-2-222-222-2-2-2-2-2-2222-2000000000000000000002-2000000000000
χ192222222222-2-2-222-2-2-222-2-22222-2200000000000000000000-2-2000000000000
χ202222222222-2-2-222-2-2-222-2-2-2-2-2-2-220000000000000000000022000000000000
χ2122222222-2-2222-2-222222-2-20000-2-20000222200000000000000-2-20000000000
χ2222222222-2-2222-2-222222-2-20000-2-20000-2-2-2-200000000000000220000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2000022000022-2-200000000000000-220000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000220000-2-222000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-2222-2-20000000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-22-2-222000000000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-222-2-2000000000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-2-2-2220000000000002-20000000000000000
χ29222-22-2-2-2222-2-2-2-2200002-20000002i−2i2i−2i0000000022-2-2000000002i−2i00000000
χ30222-22-2-2-2222-2-2-2-2200002-20000002i−2i2i−2i00000000-2-22200000000−2i2i00000000
χ31222-22-2-2-2222-2-2-2-2200002-2000000−2i2i−2i2i0000000022-2-200000000−2i2i00000000
χ32222-22-2-2-2222-2-2-2-2200002-2000000−2i2i−2i2i00000000-2-222000000002i−2i00000000
χ33222-22-2-2-2-2-2-22222-200002-20000002i−2i−2i2i00002i2i−2i−2i0000002-200000000000000
χ34222-22-2-2-2-2-2-22222-200002-20000002i−2i−2i2i0000−2i−2i2i2i000000-2200000000000000
χ35222-22-2-2-2-2-2-22222-200002-2000000−2i2i2i−2i00002i2i−2i−2i000000-2200000000000000
χ36222-22-2-2-2-2-2-22222-200002-2000000−2i2i2i−2i0000−2i−2i2i2i0000002-200000000000000
χ372-2-2-222-2200-22-20022-22-20000000000002-22-22−22−22−22−200000000002−22−20000
χ382-2-2-222-2200-22-20022-22-20000000000002-22-2−22−22−22−220000000000−22−220000
χ392-2-2-222-2200-22-20022-22-2000000000000-22-222−22−22−22−20000000000−22−220000
χ402-2-2-222-2200-22-20022-22-2000000000000-22-22−22−22−22−2200000000002−22−20000
χ412-2-2-222-2200-22-2002-22-220000000000002-2-222−22−2−22−2200000000002−2−220000
χ422-2-2-222-2200-22-2002-22-220000000000002-2-22−22−222−22−20000000000−222−20000
χ432-2-2-222-2200-22-2002-22-22000000000000-222-22−22−2−22−220000000000−222−20000
χ442-2-2-222-2200-22-2002-22-22000000000000-222-2−22−222−22−200000000002−2−220000
χ45444-44-4-4-444-444-4-4-40000-440000000000000000000000000000000000000000
χ46444-44-4-4-4-4-44-4-44440000-440000000000000000000000000000000000000000
χ4744-44-44-4-44-40004-400000000000000000000000000000000000000000002i2−2i200
χ4844-44-44-4-44-40004-40000000000000000000000000000000000000000000−2i22i200
χ4944-44-44-4-4-44000-440000000000000000000000000000000000000000000002i2−2i2
χ5044-44-44-4-4-44000-44000000000000000000000000000000000000000000000−2i22i2
χ5144-4-4-4-4444-4000-440000000004-4000000000000000000000000000000000000
χ5244-4-4-4-4444-4000-44000000000-44000000000000000000000000000000000000
χ5344-4-4-4-444-440004-400000004-400000000000000000000000000000000000000
χ5444-4-4-4-444-440004-40000000-4400000000000000000000000000000000000000
χ554-4-444-44-40044-400-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-4-444-44-40044-400-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-4-444-44-400-4-4400400000000000000000000000022−22−2222000000000000000000
χ584-4-444-44-400-4-44004000000000000000000000000−222222−22000000000000000000
χ594-4-4-444-44004-4400-44-4-44000000000000000000000000000000000000000000
χ604-4-4-444-44004-4400-4-444-4000000000000000000000000000000000000000000
χ618-888-8-8-88000000000000000000000000000000000000000000000000000000
χ628-88-8-888-8000000000000000000000000000000000000000000000000000000

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