Finite Group Databasebeta

← Group #169885

Character table — Group #169885

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444448888888888888888888888881616161616161616161616163232
order12222222222244444444444444444444888888888888888844444444888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1
χ911111111-1-1-1-11-1-11-1-11-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-11-111-1-11-1
χ1011111111-1-1-1-11-1-11-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-11-1-1-111-11
χ1111111111-1-1-1-11-1-11-1-11-1-111111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1-11
χ1211111111-1-1-1-11-1-11-1-11-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11-1-1111-1
χ1311111111-1-1-1-11-1-11-1-11-1-1111-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-11-1-111-11
χ1411111111-1-1-1-11-1-11-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-11-1
χ1511111111-1-1-1-11-1-11-1-11-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-111-1-1-1111-1
χ1611111111-1-1-1-11-1-11-1-11-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-111-111-1-1-11
χ17222222222222222-2-2-2-2-2-22-2-20022220000000000000000000000-2-200000000
χ18222222222222222-2-2-2-2-2-22-2-200-2-2-2-200000000000000000000002200000000
χ19222222222222-2-2-2222-2-2-2-22-2000000000000000000000000002-200-22000000
χ20222222222222-2-2-2222-2-2-2-22-200000000000000000000000000-22002-2000000
χ21222222222222-2-2-2-2-2-2222-2-22220000220000000000000000-2-2000000000000
χ22222222222222-2-2-2-2-2-2222-2-22-2-20000-2-2000000000000000022000000000000
χ2322222222-2-2-2-22-2-2-222-2222-2-20022-2-20000000000000000000000-2200000000
χ2422222222-2-2-2-22-2-2-222-2222-2-200-2-22200000000000000000000002-200000000
χ2522222222-2-2-2-2-2222-2-2-222-22-2000000000000000000000000002200-2-2000000
χ2622222222-2-2-2-2-2222-2-2-222-22-200000000000000000000000000-2-20022000000
χ2722222222-2-2-2-2-222-2222-2-2-2-22220000-2-200000000000000002-2000000000000
χ2822222222-2-2-2-2-222-2222-2-2-2-22-2-20000220000000000000000-22000000000000
χ29222-2-2-22-222-2-2-22-2000000200002-22-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000
χ30222-2-2-22-222-2-2-22-2000000200002-22-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000
χ31222-2-2-22-222-2-2-22-200000020000-22-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000
χ32222-2-2-22-222-2-2-22-200000020000-22-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000
χ33222-2-2-22-2-2-222-2-22000000200002-2-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000
χ34222-2-2-22-2-2-222-2-22000000200002-2-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000
χ35222-2-2-22-2-2-222-2-2200000020000-222-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000
χ36222-2-2-22-2-2-222-2-2200000020000-222-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000
χ372-2-2-2-22222-22-2000000-22-20022-200002-22−22−22−22−200000000000000002−22−200
χ382-2-2-2-22222-22-2000000-22-20022-200002-2−22−22−22−220000000000000000−22−2200
χ392-2-2-2-22222-22-2000000-22-2002-220000-222−22−22−22−20000000000000000−22−2200
χ402-2-2-2-22222-22-2000000-22-2002-220000-22−22−22−22−2200000000000000002−22−200
χ412-2-2-2-2222-22-22000000-2-220022-20000-222−22−2−22−2200000000000000002−2−2200
χ422-2-2-2-2222-22-22000000-2-220022-20000-22−22−222−22−20000000000000000−222−200
χ432-2-2-2-2222-22-22000000-2-22002-2200002-22−22−2−22−220000000000000000−222−200
χ442-2-2-2-2222-22-22000000-2-22002-2200002-2−22−222−22−200000000000000002−2−2200
χ45444-4-4-44-444-4-44-44000000-40000000000000000000000000000000000000000
χ46444-4-4-44-4-4-44444-4000000-40000000000000000000000000000000000000000
χ4744-44-4-4-44000000004i−4i00000000000000000000002i−2i2i−2i2-22-200000000000000
χ4844-44-4-4-44000000004i−4i0000000000000000000000−2i2i−2i2i-22-2200000000000000
χ4944-44-4-4-4400000000−4i4i00000000000000000000002i−2i2i−2i-22-2200000000000000
χ5044-44-4-4-4400000000−4i4i0000000000000000000000−2i2i−2i2i2-22-200000000000000
χ5144-4-444-4-400000004000000-40000000000000000022−22−2222000000000000000000
χ5244-4-444-4-400000004000000-400000000000000000−222222−22000000000000000000
χ5344-4-444-4-40000000-400000040000000000000000000002i2−2i2−2i22i200000000000000
χ5444-4-444-4-40000000-40000004000000000000000000000−2i22i22i2−2i200000000000000
χ554-4-444-44-44-4-44000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ564-4-444-44-44-4-4400000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ574-4-444-44-4-444-4000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ584-4-444-44-4-444-400000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ594-4-4-4-44444-44-40000004-4400-400000000000000000000000000000000000000
χ604-4-4-4-4444-44-4400000044-400-400000000000000000000000000000000000000
χ618-888-88-8-8000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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