Finite Group Databasebeta

← Group #103774

Character table — Group #103774

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1
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
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111
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
χ922222222222222-2-2-222-2-2-2-22-22-22222-2-2-2-2000000000000000000000000000000
χ1022222222222222-2-2-222-2-2-2-22-22-2-2-2-2-22222000000000000000000000000000000
χ11222222222222-2-2222-2-222-2-2-22-2-20000000000000000000000002200-2-200000000
χ12222222222222-2-2222-2-222-2-2-22-2-2000000000000000000000000-2-2002200000000
χ13222222222222-2-2-2-2-2-2-2-2-222-2-2-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000
χ14222222222222-2-2-2-2-2-2-2-2-222-2-2-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000
χ1522222222-2-2-2-222222222-222-2-2-2-2000000000000000000000000002200-2-2000000
χ1622222222-2-2-2-222222222-222-2-2-2-200000000000000000000000000-2-20022000000
χ1722222222-2-2-2-222-2-2-222-22-2-2-22-220000000000000000000000000000000000002-2
χ1822222222-2-2-2-222-2-2-222-22-2-2-22-22000000000000000000000000000000000000-22
χ1922222222-2-2-2-2-2-2222-2-22-2-2-22-2220000000000000000000000000000000022-2-200
χ2022222222-2-2-2-2-2-2222-2-22-2-2-22-22200000000000000000000000000000000-2-22200
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
χ23222-2-2-22-222-2-22-20002-20000-202000002i2i−2i−2i00000000i2i2−i2−i2i2i2−i2−i2000000002−22−200
χ24222-2-2-22-222-2-22-20002-20000-202000002i2i−2i−2i00000000−i2−i2i2i2−i2−i2i2i200000000−22−2200
χ25222-2-2-22-222-2-22-20002-20000-20200000−2i−2i2i2i00000000i2i2−i2−i2i2i2−i2−i200000000−22−2200
χ26222-2-2-22-222-2-22-20002-20000-20200000−2i−2i2i2i00000000−i2−i2i2i2−i2−i2i2i2000000002−22−200
χ27222-2-2-22-2-2-222-22000-220000-20202i2i−2i−2i000000000000i2i2−i2−i2−i2−i2i2i2000000002−2−2200
χ28222-2-2-22-2-2-222-22000-220000-20202i2i−2i−2i000000000000−i2−i2i2i2i2i2−i2−i200000000−222−200
χ29222-2-2-22-2-2-222-22000-220000-2020−2i−2i2i2i000000000000i2i2−i2−i2−i2−i2i2i200000000−222−200
χ30222-2-2-22-2-2-222-22000-220000-2020−2i−2i2i2i000000000000−i2−i2i2i2i2i2−i2−i2000000002−2−2200
χ3122-2-22-2-220000222-2-2-2-2202-2000000000000i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i20000002-2000000
χ3222-2-22-2-220000222-2-2-2-2202-2000000000000i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2i2−i2i2000000-22000000
χ3322-2-22-2-220000222-2-2-2-2202-2000000000000−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2−i2i2−i2000000-22000000
χ3422-2-22-2-220000222-2-2-2-2202-2000000000000−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2i20000002-2000000
χ3522-2-22-2-220000-2-2-22222-202-200000000000022−2−2−2−222i2−i2i2−i2−i2i2−i2i2002i−2i0000000000
χ3622-2-22-2-220000-2-2-22222-202-200000000000022−2−2−2−222−i2i2−i2i2i2−i2i2−i200−2i2i0000000000
χ3722-2-22-2-220000-2-2-22222-202-2000000000000−2−22222−2−2i2−i2i2−i2−i2i2−i2i200−2i2i0000000000
χ3822-2-22-2-220000-2-2-22222-202-2000000000000−2−22222−2−2−i2i2−i2i2i2−i2i2−i2002i−2i0000000000
χ392-22-2-22-222-22-20022-200-2-2000200i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000002i−2i000000000000
χ402-22-2-22-222-22-20022-200-2-2000200i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000−2i2i000000000000
χ412-22-2-22-222-22-20022-200-2-2000200−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000−2i2i000000000000
χ422-22-2-22-222-22-20022-200-2-2000200−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000002i−2i000000000000
χ432-22-2-22-222-22-200-2-220022000-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000002-200000000
χ442-22-2-22-222-22-200-2-220022000-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000-2200000000
χ452-22-2-22-222-22-200-2-220022000-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000-2200000000
χ462-22-2-22-222-22-200-2-220022000-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000002-200000000
χ47444-4-4-44-444-4-4-44000-44000040-4000000000000000000000000000000000000000
χ48444-4-4-44-4-4-4444-40004-4000040-4000000000000000000000000000000000000000
χ4944-44-44-4-400004-4000-440000000000000000000000002-2-222-2-2200000000000000
χ5044-44-44-4-400004-4000-44000000000000000000000000-222-2-222-200000000000000
χ5144-44-44-4-40000-440004-40000000000000000000000002-2-22-222-200000000000000
χ5244-44-44-4-40000-440004-4000000000000000000000000-222-22-2-2200000000000000
χ5344-4-44-4-44000044-444-4-4-40-44000000000000000000000000000000000000000000
χ5444-4-44-4-440000-4-44-4-44440-44000000000000000000000000000000000000000000
χ554-4444-4-4-44-4-44000000000000000000022−22−2222000000000000000000000000000000
χ564-4444-4-4-44-4-440000000000000000000−222222−22000000000000000000000000000000
χ574-4444-4-4-4-444-400000000000000022−22−22220000000000000000000000000000000000
χ584-4444-4-4-4-444-4000000000000000−222222−220000000000000000000000000000000000
χ594-44-4-44-44-44-440044-400-44000-40000000000000000000000000000000000000000
χ604-44-4-44-44-44-4400-4-44004-400040000000000000000000000000000000000000000
χ614-4-44-4-4440000004-4400-40000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ624-4-44-4-4440000004-4400-4000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ634-4-44-4-444000000-44-40040000000000000002-2-22-222-20000000000000000000000
χ644-4-44-4-444000000-44-4004000000000000000-222-22-2-220000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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