Finite Group Databasebeta

← Group #333767

Character table — Group #333767

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222222444444888888888888888822448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-11-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ61111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1
χ9111111111111111111-1-1-1-1111111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1111-11
χ17222222222-22-2-222-2-2-20000222200002222-2-20000-2-2000000000000000-20000000
χ18222222222-22-2-222-2-2-2000022220000-2-2-2-2220000-2-200000000000000020000000
χ19222222222-22-2-222-2-2-20000-2-2-2-2000022-2-222000022000000000000000-20000000
χ20222222222-22-2-222-2-2-20000-2-2-2-20000-2-222-2-200002200000000000000020000000
χ2122222222-22-222-2-22-2-22222000022-2-2000000-2-2-2-20000000000000000200000000
χ2222222222-22-222-2-22-2-222220000-2-22200000022-2-20000000000000000-200000000
χ2322222222-22-222-2-22-2-2-2-2-2-200002222000000-2-2220000000000000000-200000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000-2-2-2-200000022220000000000000000200000000
χ252-222-2-2-220202-200-2002i2i−2i−2i22−2−2002-20000002i−2i002−2i2i2−i2−i20000i2i2−i2−i200002−200000
χ262-222-2-2-220202-200-2002i2i−2i−2i22−2−200-22000000−2i2i002−2−i2−i2i2i20000i2i2−i2−i20000−2200000
χ272-222-2-2-220202-200-2002i2i−2i−2i−2−222002-20000002i−2i00−22−i2−i2i2i20000−i2−i2i2i20000−2200000
χ282-222-2-2-220202-200-2002i2i−2i−2i−2−22200-22000000−2i2i00−22i2i2−i2−i20000−i2−i2i2i200002−200000
χ292-222-2-2-220202-200-200−2i−2i2i2i22−2−2002-2000000−2i2i002−2−i2−i2i2i20000−i2−i2i2i200002−200000
χ302-222-2-2-220202-200-200−2i−2i2i2i22−2−200-220000002i−2i002−2i2i2−i2−i20000−i2−i2i2i20000−2200000
χ312-222-2-2-220202-200-200−2i−2i2i2i−2−222002-2000000−2i2i00−22i2i2−i2−i20000i2i2−i2−i20000−2200000
χ322-222-2-2-220202-200-200−2i−2i2i2i−2−22200-220000002i−2i00−22−i2−i2i2i20000i2i2−i2−i200002−200000
χ332-22-222-2-220200-2-20002−22−22i−2i2i−2i00002-22i−2i00002−2000000i2i2−i2−i2i2−i2i2−i20000002−2000
χ342-22-222-2-220200-2-20002−22−22i−2i2i−2i0000-22−2i2i00002−2000000−i2−i2i2i2i2−i2i2−i2000000−22000
χ352-22-222-2-220200-2-20002−22−2−2i2i−2i2i00002-2−2i2i00002−2000000−i2−i2i2i2−i2i2−i2i20000002−2000
χ362-22-222-2-220200-2-20002−22−2−2i2i−2i2i0000-222i−2i00002−2000000i2i2−i2−i2−i2i2−i2i2000000−22000
χ372-22-222-2-220200-2-2000−22−222i−2i2i−2i00002-22i−2i0000−22000000−i2−i2i2i2−i2i2−i2i2000000−22000
χ382-22-222-2-220200-2-2000−22−222i−2i2i−2i0000-22−2i2i0000−22000000i2i2−i2−i2−i2i2−i2i20000002−2000
χ392-22-222-2-220200-2-2000−22−22−2i2i−2i2i00002-2−2i2i0000−22000000i2i2−i2−i2i2−i2i2−i2000000−22000
χ402-22-222-2-220200-2-2000−22−22−2i2i−2i2i0000-222i−2i0000−22000000−i2−i2i2i2i2−i2i2−i20000002−2000
χ412-2-2-2-2222-222-2-2-222-220000000000000000000000002-22-22-22-200002-2000000000
χ422-2-2-2-2222-222-2-2-222-220000000000000000000000002-22-2-22-220000-22000000000
χ432-2-2-2-2222-222-2-2-222-22000000000000000000000000-22-222-22-20000-22000000000
χ442-2-2-2-2222-222-2-2-222-22000000000000000000000000-22-22-22-2200002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ47444-4-4-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ48444-4-4-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ49444-4-4-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ5044-44-44-4-440-400-4400000000000000000004i−4i00000000000000000000000000000
χ5144-44-44-4-440-400-440000000000000000000−4i4i00000000000000000000000000000
χ5244-44-44-4-4-404004-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-44-44-4-4-404004-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-44-4-44040-4400-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5544-4-44-4-44040-4400-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5644-4-44-4-440-404-400400000000004-40000000000000000000000000000000000000
χ5744-4-44-4-440-404-40040000000000-440000000000000000000000000000000000000
χ584-444-4-4-440-40-440040000002222−22−2200000000000000−222200000000000000000000000
χ594-444-4-4-440-40-44004000000−22−2222220000000000000022−2200000000000000000000000
χ604-44-444-4-4-40-4004400022−2222−220000000000000000−22220000000000000000000000000
χ614-44-444-4-4-40-40044000−2222−2222000000000000000022−220000000000000000000000000
χ624-4-4-4-444444-4-4-44-444-400000000000000000000000000000000000000000000000
χ634-4-4-4-44444-4-4444-4-4-4400000000000000000000000000000000000000000000000
χ644-4-4-4-4444-4-4444-44-44-400000000000000000000000000000000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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