Finite Group Databasebeta

← Group #336686

Character table — Group #336686

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-11111-11-1-111-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-111
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-11
χ1722222222222-2-2-2-22-2-200002222002200-2-20022000000-2-2000000000-2000000000
χ1822222222222-2-2-2-22-2-20000222200-2-2002200-2-2000000-2-20000000002000000000
χ1922222222222-2-2-2-22-2-20000-2-2-2-2002200-2-200-2-2000000220000000002000000000
χ2022222222222-2-2-2-22-2-20000-2-2-2-200-2-20022002200000022000000000-2000000000
χ2122222222-2-2-22222-2-2-2222200002200-2-200-2-200-2-20000000000000020000000000
χ2222222222-2-2-22222-2-2-222220000-2-20022002200-2-200000000000000-20000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2000022002200-2-2002200000000000000-20000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000-2-200-2-2002200220000000000000020000000000
χ252-222-2-2-22-2-2222-2-222-200000000000000000000002i2i−2i−2i0022-2-20000002i−2i0000000
χ262-222-2-2-22-2-2222-2-222-200000000000000000000002i2i−2i−2i00-2-222000000−2i2i0000000
χ272-222-2-2-22-2-2222-2-222-20000000000000000000000−2i−2i2i2i0022-2-2000000−2i2i0000000
χ282-222-2-2-22-2-2222-2-222-20000000000000000000000−2i−2i2i2i00-2-2220000002i−2i0000000
χ292-22-222-2-22-2-2000020022−2−22i2i−2i−2i002-20000002i−2i2−22−22−2000000i2i2−i2−i20000i2−i200000
χ302-22-222-2-22-2-2000020022−2−22i2i−2i−2i00-22000000−2i2i2−2−22−22000000i2i2−i2−i20000−i2i200000
χ312-22-222-2-22-2-2000020022−2−2−2i−2i2i2i002-2000000−2i2i2−22−22−2000000−i2−i2i2i20000−i2i200000
χ322-22-222-2-22-2-2000020022−2−2−2i−2i2i2i00-220000002i−2i2−2−22−22000000−i2−i2i2i20000i2−i200000
χ332-22-222-2-22-2-20000200−2−2222i2i−2i−2i002-20000002i−2i−22−22−22000000−i2−i2i2i20000−i2i200000
χ342-22-222-2-22-2-20000200−2−2222i2i−2i−2i00-22000000−2i2i−222−22−2000000−i2−i2i2i20000i2−i200000
χ352-22-222-2-22-2-20000200−2−222−2i−2i2i2i002-2000000−2i2i−22−22−22000000i2i2−i2−i20000i2−i200000
χ362-22-222-2-22-2-20000200−2−222−2i−2i2i2i00-220000002i−2i−222−22−2000000i2i2−i2−i20000−i2i200000
χ372-2-22-222-20002-22-20002i−2i2i−2ii2−i2i2−i200002-2002i−2i00000000i2−i22−22−22−22−2000000i2−i2000
χ382-2-22-222-20002-22-20002i−2i2i−2ii2−i2i2−i20000-2200−2i2i00000000i2−i2−22−222−22−2000000−i2i2000
χ392-2-22-222-20002-22-20002i−2i2i−2i−i2i2−i2i200002-2002i−2i00000000−i2i2−22−22−22−22000000−i2i2000
χ402-2-22-222-20002-22-20002i−2i2i−2i−i2i2−i2i20000-2200−2i2i00000000−i2i22−22−2−22−22000000i2−i2000
χ412-2-22-222-20002-22-2000−2i2i−2i2ii2−i2i2−i200002-200−2i2i00000000i2−i2−22−22−22−22000000i2−i2000
χ422-2-22-222-20002-22-2000−2i2i−2i2ii2−i2i2−i20000-22002i−2i00000000i2−i22−22−2−22−22000000−i2i2000
χ432-2-22-222-20002-22-2000−2i2i−2i2i−i2i2−i2i200002-200−2i2i00000000−i2i22−22−22−22−2000000−i2i2000
χ442-2-22-222-20002-22-2000−2i2i−2i2i−i2i2−i2i20000-22002i−2i00000000−i2i2−22−222−22−2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-44-440000-400000000000000004-40000000000000000000000000000000
χ47444-4-4-44-44-440000-40000000000000000-440000000000000000000000000000000
χ48444-4-4-44-4-44-4000040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ49444-4-4-44-4-44-400004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5044-444-4-4-40004-4-44000000000000000000000000000000022−22−2222000000000000000
χ5144-444-4-4-40004-4-440000000000000000000000000000000−222222−22000000000000000
χ5244-444-4-4-4000-444-4000000000004-40000000000000000000000000000000000000
χ5344-444-4-4-4000-444-400000000000-440000000000000000000000000000000000000
χ5444-4-4-44-4400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ5544-4-4-44-4400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ5644-4-4-44-440000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ5744-4-4-44-440000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ584-444-4-4-4444-444-4-4-4-4400000000000000000000000000000000000000000000000
χ594-444-4-4-4444-4-4-444-44-400000000000000000000000000000000000000000000000
χ604-444-4-4-44-4-44-4-4444-4400000000000000000000000000000000000000000000000
χ614-44-444-4-4-4440000-4002222−22−220000000000000000−22220000000000000000000000000
χ624-44-444-4-4-4440000-400−22−222222000000000000000022−220000000000000000000000000
χ634-4-44-444-4000-44-4400000002i2−2i22i2−2i2000000000000000000−2i22i20000000000000000000
χ644-4-44-444-4000-44-440000000−2i22i2−2i22i20000000000000000002i2−2i20000000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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