Finite Group Databasebeta

← Group #103729

Character table — Group #103729

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9222222222222222-2-2-2-222-2-2-22-2-20000000000000000000000000022-2-200000000
χ10222222222222222-2-2-2-222-2-2-22-2-200000000000000000000000000-2-22200000000
χ1122222222222-2-2-2-222222-222-2-2-2-2000000000000000000000000220000-2-2000000
χ1222222222222-2-2-2-222222-222-2-2-2-2000000000000000000000000-2-2000022000000
χ1322222222222-2-2-2-2-2-2-2-22-2-2-22-2220000000000000000000000000000000022-2-200
χ1422222222222-2-2-2-2-2-2-2-22-2-2-22-22200000000000000000000000000000000-2-22200
χ1522222222-2-2-222222222-2-2-2-22-22-22222-2-2-2-2000000000000000000000000000000
χ1622222222-2-2-222222222-2-2-2-22-22-2-2-2-2-22222000000000000000000000000000000
χ1722222222-2-2-22222-2-2-2-2-2-222-2-2-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000
χ1822222222-2-2-22222-2-2-2-2-2-222-2-2-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000
χ1922222222-2-2-2-2-2-2-22222-22-2-2-22-220000000000000000000000000000000000002-2
χ2022222222-2-2-2-2-2-2-22222-22-2-2-22-22000000000000000000000000000000000000-22
χ2122222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000002222-2-2-2-200000000000000
χ2222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000-2-2-2-2222200000000000000
χ23222-2-2-22-222-20000-2-222-202-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2000000000000
χ24222-2-2-22-222-20000-2-222-202-2000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-22000000000000
χ25222-2-2-22-222-20000-2-222-202-2000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22000000000000
χ26222-2-2-22-222-20000-2-222-202-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2000000000000
χ27222-2-2-22-2-2-22000022-2-2202-200000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000002i−2i000000
χ28222-2-2-22-2-2-22000022-2-2202-200000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000−2i2i000000
χ29222-2-2-22-2-2-22000022-2-2202-2000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000−2i2i000000
χ30222-2-2-22-2-2-22000022-2-2202-2000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000002i−2i000000
χ3122-22-2-2-222-2222-2-20000-2-2000200i2i2−i2−i2i2i2−i2−i22−22−22−22−200000000002i−2i0000000000
χ3222-22-2-2-222-2222-2-20000-2-2000200i2i2−i2−i2i2i2−i2−i2−22−22−22−220000000000−2i2i0000000000
χ3322-22-2-2-222-2222-2-20000-2-2000200−i2−i2i2i2−i2−i2i2i22−22−22−22−20000000000−2i2i0000000000
χ3422-22-2-2-222-2222-2-20000-2-2000200−i2−i2i2i2−i2−i2i2i2−22−22−22−2200000000002i−2i0000000000
χ3522-22-2-2-22-22-222-2-2000022000-200i2i2−i2−i2−i2−i2i2i2i2−i2i2−i2−i2i2−i2i20000000000002-200000000
χ3622-22-2-2-22-22-222-2-2000022000-200i2i2−i2−i2−i2−i2i2i2−i2i2−i2i2i2−i2i2−i2000000000000-2200000000
χ3722-22-2-2-22-22-222-2-2000022000-200−i2−i2i2i2i2i2−i2−i2i2−i2i2−i2−i2i2−i2i2000000000000-2200000000
χ3822-22-2-2-22-22-222-2-2000022000-200−i2−i2i2i2i2i2−i2−i2−i2i2−i2i2i2−i2i2−i20000000000002-200000000
χ392-2-2-2-22220002-22-22-22-20000-202000002-22-2000000002−22−22−22−2000000002−22−200
χ402-2-2-2-22220002-22-22-22-20000-202000002-22-200000000−22−22−22−2200000000−22−2200
χ412-2-2-2-22220002-22-22-22-20000-20200000-22-22000000002−22−22−22−200000000−22−2200
χ422-2-2-2-22220002-22-22-22-20000-20200000-22-2200000000−22−22−22−22000000002−22−200
χ432-2-2-2-2222000-22-22-22-220000-20202-22-20000000000002−22−2−22−22000000002−2−2200
χ442-2-2-2-2222000-22-22-22-220000-20202-22-2000000000000−22−222−22−200000000−222−200
χ452-2-2-2-2222000-22-22-22-220000-2020-22-220000000000002−22−2−22−2200000000−222−200
χ462-2-2-2-2222000-22-22-22-220000-2020-22-22000000000000−22−222−22−2000000002−2−2200
χ47444-4-4-44-444-4000044-4-4-40-44000000000000000000000000000000000000000000
χ48444-4-4-44-4-4-440000-4-44440-44000000000000000000000000000000000000000000
χ4944-44-4-4-444-44-4-4440000-44000-40000000000000000000000000000000000000000
χ5044-44-4-4-44-44-4-4-44400004-400040000000000000000000000000000000000000000
χ5144-4-444-4-44-4-40000000040000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ5244-4-444-4-44-4-4000000004000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ5344-4-444-4-4-44400000000-40000000000000002-2-22-222-20000000000000000000000
χ5444-4-444-4-4-44400000000-4000000000000000-222-22-2-220000000000000000000000
χ554-44-44-4-440004-4-4400000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ564-44-44-4-440004-4-440000000000000000−2i22i22i2−2i2000000000000000000000000000000
χ574-44-44-4-44000-444-40000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ584-44-44-4-44000-444-4000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ594-4-444-44-400000004-4-440000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ604-4-444-44-400000004-4-44000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ614-4-444-44-40000000-444-40000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ624-4-444-44-40000000-444-4000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ634-4-4-4-44440004-44-4-44-44000040-4000000000000000000000000000000000000000
χ644-4-4-4-4444000-44-444-44-4000040-4000000000000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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