Finite Group Databasebeta

← Group #338773

Character table — Group #338773

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-111
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1111-1-1
χ9111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-111-111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-11-11
χ172222222222-2-22-2-22-2-2000022222222-2-200000000-2-2000000000000-20000000000
χ182222222222-2-22-2-22-2-200002222-2-2-2-22200000000-2-200000000000020000000000
χ192222222222-2-22-2-22-2-20000-2-2-2-222-2-2220000000022000000000000-20000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-2-2-222-2-2000000002200000000000020000000000
χ2122222222-2-222-222-2-2-2222200000000002222-2-2-2-200000000000000000-20000000
χ2222222222-2-222-222-2-2-222220000000000-2-2-2-222-2-20000000000000000020000000
χ2322222222-2-222-222-2-2-2-2-2-2-2000000000022-2-2-2-2220000000000000000020000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000000000-2-222222200000000000000000-20000000
χ2522-22-2-2-22002-202-200022-2-2i2i2−i2−i20000002i−2i2i−2i0000i2−i2000022−2−2i2i2−i2−i20000002−2000
χ2622-22-2-2-22002-202-200022-2-2i2i2−i2−i2000000−2i2i−2i2i0000i2−i20000−2−222i2i2−i2−i2000000−22000
χ2722-22-2-2-22002-202-200022-2-2−i2−i2i2i20000002i−2i2i−2i0000−i2i20000−2−222−i2−i2i2i2000000−22000
χ2822-22-2-2-22002-202-200022-2-2−i2−i2i2i2000000−2i2i−2i2i0000−i2i2000022−2−2−i2−i2i2i20000002−2000
χ2922-22-2-2-22002-202-2000-2-222i2i2−i2−i20000002i−2i−2i2i0000i2−i2000022−2−2−i2−i2i2i2000000−22000
χ3022-22-2-2-22002-202-2000-2-222i2i2−i2−i2000000−2i2i2i−2i0000i2−i20000−2−222−i2−i2i2i20000002−2000
χ3122-22-2-2-22002-202-2000-2-222−i2−i2i2i20000002i−2i−2i2i0000−i2i20000−2−222i2i2−i2−i20000002−2000
χ3222-22-2-2-22002-202-2000-2-222−i2−i2i2i2000000−2i2i2i−2i0000−i2i2000022−2−2i2i2−i2−i2000000−22000
χ332-2222-2-2-2-22-2-2-2222-2200000000000000000000000022-2-22i−2i2i−2i000002i−2i00000000
χ342-2222-2-2-2-22-2-2-2222-2200000000000000000000000022-2-2−2i2i−2i2i00000−2i2i00000000
χ352-2222-2-2-2-22-2-2-2222-22000000000000000000000000-2-2222i−2i2i−2i00000−2i2i00000000
χ362-2222-2-2-2-22-2-2-2222-22000000000000000000000000-2-222−2i2i−2i2i000002i−2i00000000
χ372-22-2-22-222200-200-2002−22−22i−2i2i−2i2i−2i2-2000000002−2002−22−20000i2−i2i2−i20000i2−i200000
χ382-22-2-22-222200-200-2002−22−22i−2i2i−2i−2i2i-22000000002−200−22−220000i2−i2i2−i20000−i2i200000
χ392-22-2-22-222200-200-2002−22−2−2i2i−2i2i2i−2i-22000000002−200−22−220000−i2i2−i2i20000i2−i200000
χ402-22-2-22-222200-200-2002−22−2−2i2i−2i2i−2i2i2-2000000002−2002−22−20000−i2i2−i2i20000−i2i200000
χ412-22-2-22-222200-200-200−22−222i−2i2i−2i2i−2i2-200000000−2200−22−220000−i2i2−i2i20000−i2i200000
χ422-22-2-22-222200-200-200−22−222i−2i2i−2i−2i2i-2200000000−22002−22−20000−i2i2−i2i20000i2−i200000
χ432-22-2-22-222200-200-200−22−22−2i2i−2i2i2i−2i-2200000000−22002−22−20000i2−i2i2−i20000−i2i200000
χ442-22-2-22-222200-200-200−22−22−2i2i−2i2i−2i2i2-200000000−2200−22−220000i2−i2i2−i20000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-44-400-4004000000000000004-4000000000000000000000000000000000
χ47444-4-4-44-44-400-400400000000000000-44000000000000000000000000000000000
χ48444-4-4-44-4-4400400-40000000000000000000000000022−22−22220000000000000000000
χ49444-4-4-44-4-4400400-400000000000000000000000000−222222−220000000000000000000
χ5044-44-4-4-4400-440-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5144-44-4-4-4400-440-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ524-4444-4-4-44-4444-4-4-4-4400000000000000000000000000000000000000000000000
χ534-4444-4-4-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ544-4444-4-4-4-4444-4-4-444-400000000000000000000000000000000000000000000000
χ554-44-4-44-44-4-40040040022−2222−220000000000000000−22220000000000000000000000000
χ564-44-4-44-44-4-400400400−2222−2222000000000000000022−220000000000000000000000000
χ574-4-44-444-4004-40-440000000000000000000004i−4i000000000000000000000000000
χ584-4-44-444-4004-40-44000000000000000000000−4i4i000000000000000000000000000
χ594-4-44-444-400-4404-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ604-4-44-444-400-4404-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ614-4-4-44-444000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ624-4-4-44-444000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ634-4-4-44-4440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ644-4-4-44-4440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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