Finite Group Databasebeta

← Group #283166

Character table — Group #283166

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-11111111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-111-111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1111
χ172222222222-2-2-222-2-20000-2222222-2-22200000000-2-20000000000000-2000000000
χ182222222222-2-2-222-2-20000-22222-2-222-2-200000000-2-200000000000002000000000
χ192222222222-2-2-222-2-20000-2-2-2-2-22222-2-200000000220000000000000-2000000000
χ202222222222-2-2-222-2-20000-2-2-2-2-2-2-2-2-222000000002200000000000002000000000
χ2122222222-2-2222-2-22-22222-2000000000022-2-222-2-20000000000-200000000000000
χ2222222222-2-2222-2-22-22222-20000000000-2-2-2-2-2-2220000000000200000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-200000000002222-2-2220000000000-200000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000000000-2-22222-2-20000000000200000000000000
χ2522-2-2-2-222222-2-2-2-22222-2-2-20000002i−2i2i−2i002-20000000000000002i−2i000000000000
χ2622-2-2-2-222222-2-2-2-22222-2-2-2000000−2i2i−2i2i002-2000000000000000−2i2i000000000000
χ2722-2-2-2-222222-2-2-2-222-2-222-20000002i−2i2i−2i00-22000000000000000−2i2i000000000000
χ2822-2-2-2-222222-2-2-2-222-2-222-2000000−2i2i−2i2i00-220000000000000002i−2i000000000000
χ2922-2-2-2-22222-222-2-2-2-2000020000002i−2i−2i2i00000000002i2i−2i−2i00000002-20000000000
χ3022-2-2-2-22222-222-2-2-2-2000020000002i−2i−2i2i0000000000−2i−2i2i2i0000000-220000000000
χ3122-2-2-2-22222-222-2-2-2-200002000000−2i2i2i−2i00000000002i2i−2i−2i0000000-220000000000
χ3222-2-2-2-22222-222-2-2-2-200002000000−2i2i2i−2i0000000000−2i−2i2i2i00000002-20000000000
χ3322-2-2-2-222-2-22-2-2222-222-2-22000000000000-22000000000000000000002-200002-20
χ3422-2-2-2-222-2-22-2-2222-222-2-22000000000000-2200000000000000000000-220000-220
χ3522-2-2-2-222-2-22-2-2222-2-2-22220000000000002-2000000000000000000002-20000-220
χ3622-2-2-2-222-2-22-2-2222-2-2-22220000000000002-200000000000000000000-2200002-20
χ372-22-22-2-220022-200-202i−2i2i−2i022−2−20000002-2002i−2i002−2i2−i2i2−i2i2i2−i2−i2000000002−200000
χ382-22-22-2-220022-200-202i−2i2i−2i022−2−2000000-2200−2i2i002−2i2−i2i2−i2−i2−i2i2i200000000−2200000
χ392-22-22-2-220022-200-202i−2i2i−2i0−2−2220000002-2002i−2i00−22−i2i2−i2i2−i2−i2i2i200000000−2200000
χ402-22-22-2-220022-200-202i−2i2i−2i0−2−222000000-2200−2i2i00−22−i2i2−i2i2i2i2−i2−i2000000002−200000
χ412-22-22-2-220022-200-20−2i2i−2i2i022−2−20000002-200−2i2i002−2−i2i2−i2i2−i2−i2i2i2000000002−200000
χ422-22-22-2-220022-200-20−2i2i−2i2i022−2−2000000-22002i−2i002−2−i2i2−i2i2i2i2−i2−i200000000−2200000
χ432-22-22-2-220022-200-20−2i2i−2i2i0−2−2220000002-200−2i2i00−22i2−i2i2−i2i2i2−i2−i200000000−2200000
χ442-22-22-2-220022-200-20−2i2i−2i2i0−2−222000000-22002i−2i00−22i2−i2i2−i2−i2−i2i2i2000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-44-40004-400000000000000000000000000000000000000000000022−22000
χ47444-4-44-4-44-40004-4000000000000000000000000000000000000000000000−2222000
χ48444-4-44-4-4-44000-44000000000004-40000000000000000000000000000000000000
χ49444-4-44-4-4-44000-4400000000000-440000000000000000000000000000000000000
χ5044-444-4-4-44-4000-44000000000000000000000000000000022−2222−22000000000000000
χ5144-444-4-4-44-4000-440000000000000000000000000000000−2222−2222000000000000000
χ5244-444-4-4-4-440004-400000004-44-4000000000000000000000000000000000000000
χ5344-444-4-4-4-440004-40000000-44-44000000000000000000000000000000000000000
χ5444-4-4-4-444-4-4-44444-440000-40000000000000000000000000000000000000000000
χ554-44-44-4-4400-4-440040000002222−22−2200000000000000−222200000000000000000000000
χ564-44-44-4-4400-4-44004000000−22−2222220000000000000022−2200000000000000000000000
χ574-4-44-44-44004-4400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ584-4-44-44-44004-4400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ594-4-44-44-4400-44-40040000000000000000000000000022−22−22220000000000000000000
χ604-4-44-44-4400-44-400400000000000000000000000000−222222−220000000000000000000
χ614-4-4-4444-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ624-4-4-4444-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ634-4-4-4444-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ644-4-4-4444-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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