Finite Group Databasebeta

← Group #103748

Character table — Group #103748

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
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
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
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
χ92222222222222-2-2-2-2222-222-2-2-2-2000000000000000000000000000022-2-2000000
χ102222222222222-2-2-2-2222-222-2-2-2-20000000000000000000000000000-2-222000000
χ1122222222222-2-22222-2-222-2-2-22-2-200000000000000000000000022-2-20000000000
χ1222222222222-2-22222-2-222-2-2-22-2-2000000000000000000000000-2-2220000000000
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
χ1722222222-2-2-222-2-2-2-222-22-2-2-22-220000000000000000000000000000000000002-2
χ1822222222-2-2-222-2-2-2-222-22-2-2-22-22000000000000000000000000000000000000-22
χ1922222222-2-2-2-2-22222-2-2-2-222-2-2-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000
χ2022222222-2-2-2-2-22222-2-2-2-222-2-2-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000
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
χ23222-22-2-2-222-20022-2-200-22000-20022−2−222−2−222−2−222−2−200000000002-20000000000
χ24222-22-2-2-222-20022-2-200-22000-20022−2−222−2−2−2−222−2−2220000000000-220000000000
χ25222-22-2-2-222-20022-2-200-22000-200−2−222−2−22222−2−222−2−20000000000-220000000000
χ26222-22-2-2-222-20022-2-200-22000-200−2−222−2−222−2−222−2−22200000000002-20000000000
χ27222-22-2-2-2-2-220022-2-2002-200020022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000002i−2i000000000000
χ28222-22-2-2-2-2-220022-2-2002-200020022−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000−2i2i000000000000
χ29222-22-2-2-2-2-220022-2-2002-2000200−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000−2i2i000000000000
χ30222-22-2-2-2-2-220022-2-2002-2000200−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000002i−2i000000000000
χ3122-22-22-2-22-22220000-2-2-202-20000000000002−22−22−22−222−2−222−2−200002-200000000
χ3222-22-22-2-22-22220000-2-2-202-20000000000002−22−22−22−2−2−222−2−2220000-2200000000
χ3322-22-22-2-22-22220000-2-2-202-2000000000000−22−22−22−2222−2−222−2−20000-2200000000
χ3422-22-22-2-22-22220000-2-2-202-2000000000000−22−22−22−22−2−222−2−22200002-200000000
χ3522-22-22-2-2-22-2-2-2000022202-2000000000000i2−i2i2−i2−i2i2−i2i222−2−2−2−2220000002i−2i000000
χ3622-22-22-2-2-22-2-2-2000022202-2000000000000i2−i2i2−i2−i2i2−i2i2−2−22222−2−2000000−2i2i000000
χ3722-22-22-2-2-22-2-2-2000022202-2000000000000−i2i2−i2i2i2−i2i2−i222−2−2−2−222000000−2i2i000000
χ3822-22-22-2-2-22-2-2-2000022202-2000000000000−i2i2−i2i2i2−i2i2−i2−2−22222−2−20000002i−2i000000
χ392-2-222-22-20002-22-22-22-20000-202000002-22-200000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i200
χ402-2-222-22-20002-22-22-22-20000-202000002-22-200000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i200
χ412-2-222-22-20002-22-22-22-20000-20200000-22-2200000000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i200
χ422-2-222-22-20002-22-22-22-20000-20200000-22-2200000000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i200
χ432-2-222-22-2000-22-22-22-220000-20202-22-2000000000000i2−i2i2−i2−i2i2−i2i200000000i2−i2−i2i200
χ442-2-222-22-2000-22-22-22-220000-20202-22-2000000000000−i2i2−i2i2i2−i2i2−i200000000−i2i2i2−i200
χ452-2-222-22-2000-22-22-22-220000-2020-22-22000000000000i2−i2i2−i2−i2i2−i2i200000000−i2i2i2−i200
χ462-2-222-22-2000-22-22-22-220000-2020-22-22000000000000−i2i2−i2i2i2−i2i2−i200000000i2−i2−i2i200
χ47444-44-4-4-444-400-4-44400-4-400040000000000000000000000000000000000000000
χ48444-44-4-4-4-4-4400-4-4440044000-40000000000000000000000000000000000000000
χ4944-44-44-4-44-44-4-4000044-40-44000000000000000000000000000000000000000000
χ5044-44-44-4-4-44-4440000-4-440-44000000000000000000000000000000000000000000
χ5144-4-4-4-4444-4-40000000040000000000000002-2-222-2-220000000000000000000000
χ5244-4-4-4-4444-4-4000000004000000000000000-222-2-222-20000000000000000000000
χ5344-4-4-4-444-44400000000-40000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ5444-4-4-4-444-44400000000-4000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ554-444-4-4-440004-40000-440000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ564-444-4-4-440004-40000-44000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ574-444-4-4-44000-4400004-40000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ584-444-4-4-44000-4400004-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ594-4-444-44-40004-4-44-444-4000040-4000000000000000000000000000000000000000
χ604-4-444-44-4000-444-44-4-44000040-4000000000000000000000000000000000000000
χ614-4-4-444-44000004-4-440000000000000022−22−2222000000000000000000000000000000
χ624-4-4-444-44000004-4-4400000000000000−222222−22000000000000000000000000000000
χ634-4-4-444-4400000-444-4000000000022−22−22220000000000000000000000000000000000
χ644-4-4-444-4400000-444-40000000000−222222−220000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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