Finite Group Databasebeta

← Group #283164

Character table — Group #283164

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ911111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111111111-1
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
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-111-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111111-1-111-1-111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-111-11111-1-1-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ172222222222-2-2-2-222-20000-22222220022-2-2000000-2-20000000000000-2000000000
χ182222222222-2-2-2-222-20000-22222-2-200-2-222000000-2-200000000000002000000000
χ192222222222-2-2-2-222-20000-2-2-2-2-22200-2-222000000220000000000000-2000000000
χ202222222222-2-2-2-222-20000-2-2-2-2-2-2-20022-2-20000002200000000000002000000000
χ2122222222-2-22222-2-2-22222-2000000220000-2-222-2-20000000000-200000000000000
χ2222222222-2-22222-2-2-22222-2000000-2-20000-2-2-2-2220000000000200000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-200000022000022-2-2220000000000-200000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2000000-2-200002222-2-20000000000200000000000000
χ2522-22-2-2-22002-22-200022-2-20i2i2−i2−i2002-20000002-200i2−i2i2i2−i2−i2i2i2−i2−i2000000000000i2−i20
χ2622-22-2-2-22002-22-200022-2-20i2i2−i2−i200-22000000-2200i2−i2i2i2−i2−i2−i2−i2i2i2000000000000−i2i20
χ2722-22-2-2-22002-22-200022-2-20−i2−i2i2i2002-20000002-200−i2i2−i2−i2i2i2−i2−i2i2i2000000000000−i2i20
χ2822-22-2-2-22002-22-200022-2-20−i2−i2i2i200-22000000-2200−i2i2−i2−i2i2i2i2i2−i2−i2000000000000i2−i20
χ2922-22-2-2-22002-22-2000-2-2220i2i2−i2−i2002-2000000-2200i2−i2−i2−i2i2i2−i2−i2i2i2000000000000i2−i20
χ3022-22-2-2-22002-22-2000-2-2220i2i2−i2−i200-220000002-200i2−i2−i2−i2i2i2i2i2−i2−i2000000000000−i2i20
χ3122-22-2-2-22002-22-2000-2-2220−i2−i2i2i2002-2000000-2200−i2i2i2i2−i2−i2i2i2−i2−i2000000000000−i2i20
χ3222-22-2-2-22002-22-2000-2-2220−i2−i2i2i200-220000002-200−i2i2i2i2−i2−i2−i2−i2i2i2000000000000i2−i20
χ332-22-2-2-2222222-2-2-2-2-200002000000002i−2i2i−2i000000002i−2i2i−2i00000000002-20000000
χ342-22-2-2-2222222-2-2-2-2-200002000000002i−2i2i−2i00000000−2i2i−2i2i0000000000-220000000
χ352-22-2-2-2222222-2-2-2-2-20000200000000−2i2i−2i2i000000002i−2i2i−2i0000000000-220000000
χ362-22-2-2-2222222-2-2-2-2-20000200000000−2i2i−2i2i00000000−2i2i−2i2i00000000002-20000000
χ372-22-2-2-22222-2-222-2-222-22-2-2000000002i−2i−2i2i2-20000000000000002i−2i000000000000
χ382-22-2-2-22222-2-222-2-222-22-2-200000000−2i2i2i−2i2-2000000000000000−2i2i000000000000
χ392-22-2-2-22222-2-222-2-22-22-22-2000000002i−2i−2i2i-22000000000000000−2i2i000000000000
χ402-22-2-2-22222-2-222-2-22-22-22-200000000−2i2i2i−2i-220000000000000002i−2i000000000000
χ412-22-2-2-222-2-2-2-22222-22-22-22000000000000-22000000000000000002-2000002-2000
χ422-22-2-2-222-2-2-2-22222-22-22-22000000000000-2200000000000000000-2200000-22000
χ432-22-2-2-222-2-2-2-22222-2-22-2220000000000002-2000000000000000002-200000-22000
χ442-22-2-2-222-2-2-2-22222-2-22-2220000000000002-200000000000000000-22000002-2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-44-400004-400000000000000000000000000000000000000000022−2200000
χ47444-4-44-4-44-400004-4000000000000000000000000000000000000000000−222200000
χ48444-4-44-4-4-440000-4400000000004-40000000000000000000000000000000000000
χ49444-4-44-4-4-440000-440000000000-440000000000000000000000000000000000000
χ5044-44-4-4-4400-44-44000000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5144-44-4-4-4400-44-4400000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ524-4444-4-4-44-40000-4400000000000000000000000000000022−2222−22000000000000000
χ534-4444-4-4-44-40000-44000000000000000000000000000000−2222−2222000000000000000
χ544-4444-4-4-4-4400004-40000004-44-4000000000000000000000000000000000000000
χ554-4444-4-4-4-4400004-4000000-44-44000000000000000000000000000000000000000
χ564-44-4-4-444-4-444-4-44440000-40000000000000000000000000000000000000000000
χ574-4-44-444-4000000000000002i2−2i2−2i22i200000000000022−220000002i−2i−2i2i000000000000000
χ584-4-44-444-4000000000000002i2−2i2−2i22i2000000000000−2222000000−2i2i2i−2i000000000000000
χ594-4-44-444-400000000000000−2i22i22i2−2i200000000000022−22000000−2i2i2i−2i000000000000000
χ604-4-44-444-400000000000000−2i22i22i2−2i2000000000000−22220000002i−2i−2i2i000000000000000
χ614-4-4-444-44004-4-44000000000000000000000000000022−22−22220000000000000000000
χ624-4-4-444-44004-4-440000000000000000000000000000−222222−220000000000000000000
χ634-4-4-444-4400-444-40004-4-4400000000000000000000000000000000000000000000
χ644-4-4-444-4400-444-4000-444-400000000000000000000000000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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