Finite Group Databasebeta

← Group #340643

Character table — Group #340643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11111-1-111111111-1-1-1-11111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11-1
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111-1-111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1
χ172222222222-2-2-222-2-2-20000222200220022-2-200000000-2-2000000000-2000000000
χ182222222222-2-2-222-2-2-20000222200-2-200-2-22200000000-2-20000000002000000000
χ192222222222-2-2-222-2-2-20000-2-2-2-2002200-2-2220000000022000000000-2000000000
χ202222222222-2-2-222-2-2-20000-2-2-2-200-2-20022-2-200000000220000000002000000000
χ2122222222-2-2222-2-22-2-2222200002200-2-20000-2-2-2-20000000000000020000000000
χ2222222222-2-2222-2-22-2-222220000-2-20022000022-2-200000000000000-20000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-200002200220000-2-22200000000000000-20000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000-2-200-2-2000022220000000000000020000000000
χ2522-2-2-2-22222-22-2-2-22-2200000000000000000000002i2i−2i−2i002i2i−2i−2i0000002-20000000
χ2622-2-2-2-22222-22-2-2-22-2200000000000000000000002i2i−2i−2i00−2i−2i2i2i000000-220000000
χ2722-2-2-2-22222-22-2-2-22-220000000000000000000000−2i−2i2i2i002i2i−2i−2i000000-220000000
χ2822-2-2-2-22222-22-2-2-22-220000000000000000000000−2i−2i2i2i00−2i−2i2i2i0000002-20000000
χ292-222-2-2-2200-22200-2002i2i−2i−2ii2i2−i2−i200002-200002i−2i000000i2−i22−22−222−2−20000i2−i200000
χ302-222-2-2-2200-22200-2002i2i−2i−2ii2i2−i2−i20000-220000−2i2i000000i2−i2−22−2222−2−20000−i2i200000
χ312-222-2-2-2200-22200-2002i2i−2i−2i−i2−i2i2i200002-200002i−2i000000−i2i2−22−22−2−2220000−i2i200000
χ322-222-2-2-2200-22200-2002i2i−2i−2i−i2−i2i2i20000-220000−2i2i000000−i2i22−22−2−2−2220000i2−i200000
χ332-222-2-2-2200-22200-200−2i−2i2i2ii2i2−i2−i200002-20000−2i2i000000i2−i2−22−22−2−2220000i2−i200000
χ342-222-2-2-2200-22200-200−2i−2i2i2ii2i2−i2−i20000-2200002i−2i000000i2−i22−22−2−2−2220000−i2i200000
χ352-222-2-2-2200-22200-200−2i−2i2i2i−i2−i2i2i200002-20000−2i2i000000−i2i22−22−222−2−20000−i2i200000
χ362-222-2-2-2200-22200-200−2i−2i2i2i−i2−i2i2i20000-2200002i−2i000000−i2i2−22−2222−2−20000i2−i200000
χ372-22-2-222-22-20002-2000i2−i2i2−i22i−2i2i−2i002-2002i−2i0000i2−i22−22−20000002−22−2000000i2−i2000
χ382-22-2-222-22-20002-2000i2−i2i2−i22i−2i2i−2i00-2200−2i2i0000i2−i2−22−220000002−22−2000000−i2i2000
χ392-22-2-222-22-20002-2000i2−i2i2−i2−2i2i−2i2i002-200−2i2i0000i2−i2−22−22000000−22−22000000i2−i2000
χ402-22-2-222-22-20002-2000i2−i2i2−i2−2i2i−2i2i00-22002i−2i0000i2−i22−22−2000000−22−22000000−i2i2000
χ412-22-2-222-22-20002-2000−i2i2−i2i22i−2i2i−2i002-2002i−2i0000−i2i2−22−22000000−22−22000000−i2i2000
χ422-22-2-222-22-20002-2000−i2i2−i2i22i−2i2i−2i00-2200−2i2i0000−i2i22−22−2000000−22−22000000i2−i2000
χ432-22-2-222-22-20002-2000−i2i2−i2i2−2i2i−2i2i002-200−2i2i0000−i2i22−22−20000002−22−2000000−i2i2000
χ442-22-2-222-22-20002-2000−i2i2−i2i2−2i2i−2i2i00-22002i−2i0000−i2i2−22−220000002−22−2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ47444-44-4-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ48444-44-4-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ49444-44-4-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ5044-4-4-4-444444-44-4-4-44-400000000000000000000000000000000000000000000000
χ5144-4-4-4-444-4-44-4444-4-4400000000000000000000000000000000000000000000000
χ5244-4-4-4-444-4-4-44-44444-400000000000000000000000000000000000000000000000
χ534-444-4-4-44004-4-40040000002i22i2−2i2−2i2000000000000000000−2i22i20000000000000000000
χ544-444-4-4-44004-4-4004000000−2i2−2i22i22i20000000000000000002i2−2i20000000000000000000
χ554-44-4-444-4-44000-440002i2−2i22i2−2i20000000000000000−2i22i20000000000000000000000000
χ564-44-4-444-4-44000-44000−2i22i2−2i22i200000000000000002i2−2i20000000000000000000000000
χ574-4-444-44-44-4000-4400000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ584-4-444-44-44-4000-440000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ594-4-444-44-4-440004-400000000000000000004i−4i00000000000000000000000000000
χ604-4-444-44-4-440004-40000000000000000000−4i4i00000000000000000000000000000
χ614-4-4-444-440044-400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-4-444-440044-400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-4-444-4400-4-4400400000000004-40000000000000000000000000000000000000
χ644-4-4-444-4400-4-440040000000000-440000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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