Finite Group Databasebeta

← Group #335759

Character table — Group #335759

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222222444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-111
χ9111111111111111111-1-1-1-1111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-111-11-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11
χ172222222222-2-2-222-2-2-22222000022-2-20000-2-20000-2-200000000000020000000000
χ182222222222-2-2-222-2-2-222220000-2-2220000220000-2-2000000000000-20000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000022220000-2-2000022000000000000-20000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-2-2-200002200002200000000000020000000000
χ2122222222-2-2222-2-22-2-200002222000022-2-200-2-2-2-20000000000000002000000000
χ2222222222-2-2222-2-22-2-2000022220000-2-2220022-2-2000000000000000-2000000000
χ2322222222-2-2222-2-22-2-20000-2-2-2-2000022-2-2002222000000000000000-2000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-20000-2-22200-2-2220000000000000002000000000
χ2522-222-2-2-22-20002-20002i2i−2i−2ii2i2−i2−i2002-200002i−2i00i2−i20022−2−2000022−2−20000i2−i200000
χ2622-222-2-2-22-20002-20002i2i−2i−2ii2i2−i2−i200-220000−2i2i00i2−i200−2−222000022−2−20000−i2i200000
χ2722-222-2-2-22-20002-20002i2i−2i−2i−i2−i2i2i2002-200002i−2i00−i2i200−2−2220000−2−2220000−i2i200000
χ2822-222-2-2-22-20002-20002i2i−2i−2i−i2−i2i2i200-220000−2i2i00−i2i20022−2−20000−2−2220000i2−i200000
χ2922-222-2-2-22-20002-2000−2i−2i2i2ii2i2−i2−i2002-20000−2i2i00i2−i200−2−2220000−2−2220000i2−i200000
χ3022-222-2-2-22-20002-2000−2i−2i2i2ii2i2−i2−i200-2200002i−2i00i2−i20022−2−20000−2−2220000−i2i200000
χ3122-222-2-2-22-20002-2000−2i−2i2i2i−i2−i2i2i2002-20000−2i2i00−i2i20022−2−2000022−2−20000−i2i200000
χ3222-222-2-2-22-20002-2000−2i−2i2i2i−i2−i2i2i200-2200002i−2i00−i2i200−2−222000022−2−20000i2−i200000
χ3322-2-2-222-20022-200-2002−22−22i−2i2i−2i0000002i−2i002-2002−20000i2i2−i2−i2i2−i2i2−i20000002−2000
χ3422-2-2-222-20022-200-2002−22−22i−2i2i−2i000000−2i2i00-22002−20000−i2−i2i2i2i2−i2i2−i2000000−22000
χ3522-2-2-222-20022-200-2002−22−2−2i2i−2i2i0000002i−2i00-22002−20000i2i2−i2−i2−i2i2−i2i2000000−22000
χ3622-2-2-222-20022-200-2002−22−2−2i2i−2i2i000000−2i2i002-2002−20000−i2−i2i2i2−i2i2−i2i20000002−2000
χ3722-2-2-222-20022-200-200−22−222i−2i2i−2i0000002i−2i002-200−220000−i2−i2i2i2−i2i2−i2i2000000−22000
χ3822-2-2-222-20022-200-200−22−222i−2i2i−2i000000−2i2i00-2200−220000i2i2−i2−i2−i2i2−i2i20000002−2000
χ3922-2-2-222-20022-200-200−22−22−2i2i−2i2i0000002i−2i00-2200−220000−i2−i2i2i2i2−i2i2−i20000002−2000
χ4022-2-2-222-20022-200-200−22−22−2i2i−2i2i000000−2i2i002-200−220000i2i2−i2−i2i2−i2i2−i2000000−22000
χ412-222-22-2-222-22-2-2-22-220000000000000000000000002-22-22i−2i2i−2i0000002i−2i0000000
χ422-222-22-2-222-22-2-2-22-220000000000000000000000002-22-2−2i2i−2i2i000000−2i2i0000000
χ432-222-22-2-222-22-2-2-22-22000000000000000000000000-22-222i−2i2i−2i000000−2i2i0000000
χ442-222-22-2-222-22-2-2-22-22000000000000000000000000-22-22−2i2i−2i2i0000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-4-4400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ47444-4-4-4-4400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ48444-4-4-4-440000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ49444-4-4-4-440000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ5044-444-4-4-4-44000-4400000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ5144-444-4-4-4-44000-440000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ5244-4-4-444-400-4-440040022−2222−22000000000000000000−222200000000000000000000000
χ5344-4-4-444-400-4-4400400−2222−222200000000000000000022−2200000000000000000000000
χ544-444-44-4-4444-44-4-4-44-400000000000000000000000000000000000000000000000
χ554-444-44-4-4-4-44-4444-4-4400000000000000000000000000000000000000000000000
χ564-444-44-4-4-4-4-44-44444-400000000000000000000000000000000000000000000000
χ574-4-44-4-4444-4000-4400000000000000000000000000022−22−22220000000000000000000
χ584-4-44-4-4444-4000-44000000000000000000000000000−222222−220000000000000000000
χ594-4-44-4-444-440004-4000000000004-40000000000000000000000000000000000000
χ604-4-44-4-444-440004-400000000000-440000000000000000000000000000000000000
χ614-4-4-444-44004-4-4004000000000000004-4000000000000000000000000000000000
χ624-4-4-444-44004-4-400400000000000000-44000000000000000000000000000000000
χ634-4-4-444-4400-44400-400000000000000000000000000000022−22−2222000000000000000
χ644-4-4-444-4400-44400-4000000000000000000000000000000−222222−22000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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