Finite Group Databasebeta

← Group #293928

Character table — Group #293928

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444444444444444444444488888888888888888888888822444422
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ5111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ911111111-1-1-1-1111111111-1-1-1-11-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-11-11-1
χ1011111111-1-1-1-1111111111-1-1-1-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-11
χ1111111111-1-1-1-1111111111-1-1-1-11-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-11-11
χ1211111111-1-1-1-1111111111-1-1-1-11-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-111-1
χ1311111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-11-11
χ1411111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-111-1
χ1511111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-11-1
χ1611111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-11
χ1722222222222222-2-222-2-2-222-2-2-2-20000000022220000000000000000000000000000-2-200
χ1822222222222222-2-222-2-2-222-2-2-2-200000000-2-2-2-200000000000000000000000000002200
χ19222222222222-2-222-2-222-2-2-222-2-2000022220000000000000000000000000000-2-2000000
χ20222222222222-2-222-2-222-2-2-222-2-20000-2-2-2-2000000000000000000000000000022000000
χ21222222222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-200000000000000000000000000000000002-20000
χ22222222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-2220000000000000000000000000000000000-220000
χ2322222222-2-2-2-222-2-222-2-2-2-2-222-220000000022-2-20000000000000000000000000000-2200
χ2422222222-2-2-2-222-2-222-2-2-2-2-222-2200000000-2-22200000000000000000000000000002-200
χ2522222222-2-2-2-2-2-222-2-222-222-2-2-22000022-2-20000000000000000000000000000-22000000
χ2622222222-2-2-2-2-2-222-2-222-222-2-2-220000-2-22200000000000000000000000000002-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-222-2-20000000000000000000000000000000000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-22200000000000000000000000000000000002-20000
χ2922-222-2-2-200002-22-22-22-220000-202i−2i2i−2i0000000000002i2i−2i−2i000022-2-20000000000000000
χ3022-222-2-2-200002-22-22-22-220000-202i−2i2i−2i000000000000−2i−2i2i2i0000-2-2220000000000000000
χ3122-222-2-2-200002-22-22-22-220000-20−2i2i−2i2i0000000000002i2i−2i−2i0000-2-2220000000000000000
χ3222-222-2-2-200002-22-22-22-220000-20−2i2i−2i2i000000000000−2i−2i2i2i000022-2-20000000000000000
χ3322-222-2-2-20000-22-22-22-2220000-202i−2i−2i2i000000002i2i−2i−2i000022-2-200000000000000000000
χ3422-222-2-2-20000-22-22-22-2220000-202i−2i−2i2i00000000−2i−2i2i2i0000-2-22200000000000000000000
χ3522-222-2-2-20000-22-22-22-2220000-20−2i2i2i−2i000000002i2i−2i−2i0000-2-22200000000000000000000
χ3622-222-2-2-20000-22-22-22-2220000-20−2i2i2i−2i00000000−2i−2i2i2i000022-2-200000000000000000000
χ372-222-22-2-222-2-2002200-2-20002-20000002i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i20000000022−2−222−2−200000000
χ382-222-22-2-222-2-2002200-2-20002-20000002i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i200000000−2−222−2−22200000000
χ392-222-22-2-222-2-2002200-2-20002-2000000−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i200000000−2−222−2−22200000000
χ402-222-22-2-222-2-2002200-2-20002-2000000−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i20000000022−2−222−2−200000000
χ412-222-22-2-2-2-222002200-2-2000-220000002i−2i−2i2i0000i2−i2i2−i2−i2i2−i2i20000000022−2−2−2−22200000000
χ422-222-22-2-2-2-222002200-2-2000-220000002i−2i−2i2i0000−i2i2−i2i2i2−i2i2−i200000000−2−22222−2−200000000
χ432-222-22-2-2-2-222002200-2-2000-22000000−2i2i2i−2i0000i2−i2i2−i2−i2i2−i2i200000000−2−22222−2−200000000
χ442-222-22-2-2-2-222002200-2-2000-22000000−2i2i2i−2i0000−i2i2−i2i2i2−i2i2−i20000000022−2−2−2−22200000000
χ452-22-22-22-22-22-22200-2-20002-20000000000002i−2i2i−2i000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ462-22-22-22-22-22-22200-2-20002-20000000000002i−2i2i−2i00000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ472-22-22-22-22-22-22200-2-20002-2000000000000−2i2i−2i2i000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ482-22-22-22-22-22-22200-2-20002-2000000000000−2i2i−2i2i00000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ492-22-22-22-2-22-222200-2-2000-220000000000002i−2i−2i2i000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000
χ502-22-22-22-2-22-222200-2-2000-220000000000002i−2i−2i2i00000000−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000
χ512-22-22-22-2-22-222200-2-2000-22000000000000−2i2i2i−2i000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000
χ522-22-22-22-2-22-222200-2-2000-22000000000000−2i2i2i−2i00000000−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000
χ53444-4-4-4-444-4-4400000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ54444-4-4-4-444-4-440000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ55444-4-4-4-44-444-400000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ56444-4-4-4-44-444-40000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ5744-444-4-4-400004-4-444-4-44-400004000000000000000000000000000000000000000000000
χ5844-444-4-4-40000-444-4-444-4-400004000000000000000000000000000000000000000000000
χ594-444-44-4-444-4-400-4-40044000-440000000000000000000000000000000000000000000000
χ604-444-44-4-4-4-44400-4-400440004-40000000000000000000000000000000000000000000000
χ614-44-44-44-44-44-4-4-40044000-44000000000000000000000000000000000000000000000000
χ624-44-44-44-4-44-44-4-400440004-4000000000000000000000000000000000000000000000000
χ634-4-44-4-4440000004-400-440000000000000000000000022−22−2222000000000000000000000000
χ644-4-44-4-4440000004-400-4400000000000000000000000−222222−22000000000000000000000000
χ654-4-44-4-444000000-44004-4000000000000000000022−22−22220000000000000000000000000000
χ664-4-44-4-444000000-44004-40000000000000000000−222222−220000000000000000000000000000
χ674-4-4-444-4400004-400-4400000000000000000000000000000000022−22−22220000000000000000
χ684-4-4-444-4400004-400-44000000000000000000000000000000000−222222−220000000000000000
χ694-4-4-444-440000-44004-40000000000000000000000000000022−22−222200000000000000000000
χ704-4-4-444-440000-44004-400000000000000000000000000000−222222−2200000000000000000000
χ7188-8-8-888-8000000000000000000000000000000000000000000000000000000000000000

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