Finite Group Databasebeta

← Group #305667

Character table — Group #305667

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1111111-1-1-1
χ911111111111111111-1-1-1-111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-11111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-111111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111-1-11-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111-1-1-11111-1-111-1
χ172222222222-2-22-2-22-22222-20000-2-20000220022000000-2-2000000000-2000000000
χ182222222222-2-22-2-22-22222-20000-2-20000-2-200-2-2000000220000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-200002200002200-2-200000022000000000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000220000-2-20022000000-2-20000000002000000000
χ2122222222-2-222-222-2-20000-2222200222200-2-200-2-20000000000-200000000000000
χ2222222222-2-222-222-2-20000-2222200-2-2-2-2002200-2-20000000000200000000000000
χ2322222222-2-222-222-2-20000-2-2-2-2-20022-2-200-2-200220000000000200000000000000
χ2422222222-2-222-222-2-20000-2-2-2-2-200-2-222002200220000000000-200000000000000
χ2522-2-2-22-222-200200-202i2i−2i−2i022−2−20000002i−2i002-22−2i2i2−i2−i20022−2−200000000i2−i200000
χ2622-2-2-22-222-200200-202i2i−2i−2i022−2−2000000−2i2i00-222−2i2i2−i2−i200−2−22200000000−i2i200000
χ2722-2-2-22-222-200200-202i2i−2i−2i0−2−2220000002i−2i002-2−22−i2−i2i2i200−2−22200000000−i2i200000
χ2822-2-2-22-222-200200-202i2i−2i−2i0−2−222000000−2i2i00-22−22−i2−i2i2i20022−2−200000000i2−i200000
χ2922-2-2-22-222-200200-20−2i−2i2i2i022−2−20000002i−2i00-222−2−i2−i2i2i200−2−22200000000i2−i200000
χ3022-2-2-22-222-200200-20−2i−2i2i2i022−2−2000000−2i2i002-22−2−i2−i2i2i20022−2−200000000−i2i200000
χ3122-2-2-22-222-200200-20−2i−2i2i2i0−2−2220000002i−2i00-22−22i2i2−i2−i20022−2−200000000−i2i200000
χ3222-2-2-22-222-200200-20−2i−2i2i2i0−2−222000000−2i2i002-2−22i2i2−i2−i200−2−22200000000i2−i200000
χ332-2-22-222-22222-2-2-2-222-22-2-200002-22-200002-20000000000000002-2000000000000
χ342-2-22-222-22222-2-2-2-222-22-2-200002-2-220000-22000000000000000-22000000000000
χ352-2-22-222-22222-2-2-2-22-22-22-20000-222-200002-2000000000000000-22000000000000
χ362-2-22-222-22222-2-2-2-22-22-22-20000-22-220000-220000000000000002-2000000000000
χ372-2-22-222-222-2-2-222-2-22-22-220000-2200000000000000000000000000002i−2i002i−2i000
χ382-2-22-222-222-2-2-222-2-22-22-220000-220000000000000000000000000000−2i2i00−2i2i000
χ392-2-22-222-222-2-2-222-2-2-22-22200002-200000000000000000000000000002i−2i00−2i2i000
χ402-2-22-222-222-2-2-222-2-2-22-22200002-20000000000000000000000000000−2i2i002i−2i000
χ412-2-22-222-2-2-2222-2-22-2000020000002-20000-2200002i−2i2i−2i0000000002i−2i0000000000
χ422-2-22-222-2-2-2222-2-22-2000020000002-20000-220000−2i2i−2i2i000000000−2i2i0000000000
χ432-2-22-222-2-2-2222-2-22-200002000000-2200002-200002i−2i2i−2i000000000−2i2i0000000000
χ442-2-22-222-2-2-2222-2-22-200002000000-2200002-20000−2i2i−2i2i0000000002i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-4004-404-4000000000000000000000000000000022−2222−22000000000000000
χ47444-4-4-44-4004-404-40000000000000000000000000000000−2222−2222000000000000000
χ48444-4-4-44-400-440-4400000004-44-4000000000000000000000000000000000000000
χ49444-4-4-44-400-440-440000000-44-44000000000000000000000000000000000000000
χ5044-444-4-4-40000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ5144-444-4-4-40000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ5244-444-4-4-400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ5344-444-4-4-400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ5444-4-4-44-44-4400-40040000002222−22−22000000000000−22220000000000000000000000000
χ5544-4-4-44-44-4400-4004000000−22−22222200000000000022−220000000000000000000000000
χ564-44-444-4-44-400-400404i−4i−4i4i00000000000000000000000000000000000000000000
χ574-44-444-4-44-400-40040−4i4i4i−4i00000000000000000000000000000000000000000000
χ584-44-444-4-4-4400400-400000000000000000000000022−22−2222000000000000000000000
χ594-44-444-4-4-4400400-4000000000000000000000000−222222−22000000000000000000000
χ604-4-44-444-4-4-4-4-4444440000-40000000000000000000000000000000000000000000
χ614-4-4-44-444004-40-440000000000000000000000000000000000000000000000022−220
χ624-4-4-44-444004-40-4400000000000000000000000000000000000000000000000−22220
χ634-4-4-44-44400-4404-40000000000000004-4000000000000000000000000000000000
χ644-4-4-44-44400-4404-4000000000000000-44000000000000000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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