Finite Group Databasebeta

← Group #449598

Character table — Group #449598

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222888888888888888888888888888888888888161616161616161616161616
order12222222222244444444222222222244444444444444444488888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111
χ911111111111111111111-1-1-1-111-1-1111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ1011111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111
χ1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111
χ1211111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111
χ1611111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1
χ1722222222-2-2-2-22-2222-2-2-20000002200000022-2-200-2-2000000000022-2-2000000000000
χ1822222222-2-2-2-22-2222-2-2-200000022000000-2-22200-2-20000000000-2-222000000000000
χ1922222222-2-2-2-22-2222-2-2-2000000-2-200000022-2-200220000000000-2-222000000000000
χ2022222222-2-2-2-22-2222-2-2-2000000-2-2000000-2-2220022000000000022-2-2000000000000
χ2122222222-2-2-2-2-22-2-2-2222000022002200000000-2-200-2-2000022-2-20000000000000000
χ2222222222-2-2-2-2-22-2-2-222200002200-2-200000000-2-200220000-2-2220000000000000000
χ2322222222-2-2-2-2-22-2-2-22220000-2-20022000000002200-2-20000-2-2220000000000000000
χ2422222222-2-2-2-2-22-2-2-22220000-2-200-2-200000000220022000022-2-20000000000000000
χ25222-2-2-2-2222-2-22-22-2-222-222-2-200000000002i−2i2i−2i00000000000000000000000000002i−2i
χ26222-2-2-2-2222-2-22-22-2-222-222-2-20000000000−2i2i−2i2i0000000000000000000000000000−2i2i
χ27222-2-2-2-2222-2-22-22-2-222-2-2-22200000000002i−2i2i−2i0000000000000000000000000000−2i2i
χ28222-2-2-2-2222-2-22-22-2-222-2-2-2220000000000−2i2i−2i2i00000000000000000000000000002i−2i
χ29222-2-2-2-2222-2-2-22-222-2-2200002-200002i2i−2i−2i00002-200000000000000000000002i−2i0000
χ30222-2-2-2-2222-2-2-22-222-2-2200002-20000−2i−2i2i2i00002-20000000000000000000000−2i2i0000
χ31222-2-2-2-2222-2-2-22-222-2-220000-2200002i2i−2i−2i0000-220000000000000000000000−2i2i0000
χ32222-2-2-2-2222-2-2-22-222-2-220000-220000−2i−2i2i2i0000-2200000000000000000000002i−2i0000
χ33222-2-2-2-22-2-222222-2-2-2-2200002-2000000002i−2i−2i2i-2200000000000000002i−2i0000000000
χ34222-2-2-2-22-2-222222-2-2-2-2200002-200000000−2i2i2i−2i-220000000000000000−2i2i0000000000
χ35222-2-2-2-22-2-222222-2-2-2-220000-22000000002i−2i−2i2i2-20000000000000000−2i2i0000000000
χ36222-2-2-2-22-2-222222-2-2-2-220000-2200000000−2i2i2i−2i2-200000000000000002i−2i0000000000
χ372-2-222-2-222-22-222-22-22-2-22-22-20000002i−2i2i−2i00000000002i2i−2i−2i00000000000000000000
χ382-2-222-2-222-22-222-22-22-2-22-22-2000000−2i2i−2i2i0000000000−2i−2i2i2i00000000000000000000
χ392-2-222-2-222-22-222-22-22-2-2-22-220000002i−2i2i−2i0000000000−2i−2i2i2i00000000000000000000
χ402-2-222-2-222-22-222-22-22-2-2-22-22000000−2i2i−2i2i00000000002i2i−2i−2i00000000000000000000
χ412-2-2-2-22222-2-222-2-2-222-222-2-2200002-20000000000002-200000000000000002-2000000
χ422-2-2-2-22222-2-222-2-2-222-222-2-220000-22000000000000-220000000000000000-22000000
χ432-2-2-2-22222-2-222-2-2-222-22-222-200002-20000000000002-20000000000000000-22000000
χ442-2-2-2-22222-2-222-2-2-222-22-222-20000-22000000000000-2200000000000000002-2000000
χ452-2-2-2-22222-2-22-2222-2-22-20000002-2002-2-220000002-200000000000000000000002-200
χ462-2-2-2-22222-2-22-2222-2-22-20000002-200-222-20000002-20000000000000000000000-2200
χ472-2-2-2-22222-2-22-2222-2-22-2000000-22002-2-22000000-220000000000000000000000-2200
χ482-2-2-2-22222-2-22-2222-2-22-2000000-2200-222-2000000-2200000000000000000000002-200
χ492-2-2-2-2222-222-2-2-222-22-220000002-22-20000000000-22-22000000000000002-200000000
χ502-2-2-2-2222-222-2-2-222-22-220000002-2-220000000000-222-200000000000000-2200000000
χ512-2-2-2-2222-222-2-2-222-22-22000000-222-200000000002-2-2200000000000000-2200000000
χ522-2-2-2-2222-222-2-2-222-22-22000000-22-2200000000002-22-2000000000000002-200000000
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000
χ54444-4-4-4-44-4-444-4-4-44444-4000000000000000000000000000000000000000000000000
χ5544-44-44-4-40000000000000000000000000000000000002-22-2002i2−2i2002i2−2i2000000000000
χ5644-44-44-4-40000000000000000000000000000000000002-22-200−2i22i200−2i22i2000000000000
χ5744-44-44-4-4000000000000000000000000000000000000-22-22002i2−2i200−2i22i2000000000000
χ5844-44-44-4-4000000000000000000000000000000000000-22-2200−2i22i2002i2−2i2000000000000
χ594-444-4-44-40000000000000000000000000000000000002i−2i−2i2i22−22002i2−2i200000000000000
χ604-444-4-44-40000000000000000000000000000000000002i−2i−2i2i−222200−2i22i200000000000000
χ614-444-4-44-4000000000000000000000000000000000000−2i2i2i−2i22−2200−2i22i200000000000000
χ624-444-4-44-4000000000000000000000000000000000000−2i2i2i−2i−2222002i2−2i200000000000000
χ634-4-444-4-444-44-4-4-44-44-444000000000000000000000000000000000000000000000000
χ644-4-444-4-44-44-444-4-44-4-444000000000000000000000000000000000000000000000000
χ654-4-444-4-44-44-44-444-444-4-4000000000000000000000000000000000000000000000000
χ664-4-4-4-4444-444-444-4-44-44-4000000000000000000000000000000000000000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-88-888-8-8000000000000000000000000000000000000000000000000000000000000

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