Finite Group Databasebeta

← Group #338705

Character table — Group #338705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-111
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1-111-111-1-11-1-1
χ9111111111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-111-1-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-1111-11
χ17222222222-22-2-222-2-2-20000222222-2-20022000000-2-2000000000000-20000000000
χ18222222222-22-2-222-2-2-200002222-2-22200-2-2000000-2-200000000000020000000000
χ19222222222-22-2-222-2-2-20000-2-2-2-2222200-2-200000022000000000000-20000000000
χ20222222222-22-2-222-2-2-20000-2-2-2-2-2-2-2-200220000002200000000000020000000000
χ2122222222-22-222-2-22-2-22222000000002200-2-222-2-200000000000000000-20000000
χ2222222222-22-222-2-22-2-2222200000000-2-20022-2-2-2-20000000000000000020000000
χ2322222222-22-222-2-22-2-2-2-2-2-2000000002200-2-2-2-2220000000000000000020000000
χ2422222222-22-222-2-22-2-2-2-2-2-200000000-2-20022222200000000000000000-20000000
χ252-2222-2-2-2-222-2-2-222-220000000000000000000000002i2i−2i−2i22-2-2000002i−2i00000000
χ262-2222-2-2-2-222-2-2-222-220000000000000000000000002i2i−2i−2i-2-22200000−2i2i00000000
χ272-2222-2-2-2-222-2-2-222-22000000000000000000000000−2i−2i2i2i22-2-200000−2i2i00000000
χ282-2222-2-2-2-222-2-2-222-22000000000000000000000000−2i−2i2i2i-2-222000002i−2i00000000
χ292-22-2-2-22220200-2-200022−2−22i2i−2i−2i2i−2i00002-200002−20000002−22−2i2i2−i2−i2000000i2−i2000
χ302-22-2-2-22220200-2-200022−2−22i2i−2i−2i−2i2i0000-2200002−2000000−22−22i2i2−i2−i2000000−i2i2000
χ312-22-2-2-22220200-2-200022−2−2−2i−2i2i2i2i−2i0000-2200002−2000000−22−22−i2−i2i2i2000000i2−i2000
χ322-22-2-2-22220200-2-200022−2−2−2i−2i2i2i−2i2i00002-200002−20000002−22−2−i2−i2i2i2000000−i2i2000
χ332-22-2-2-22220200-2-2000−2−2222i2i−2i−2i2i−2i00002-20000−22000000−22−22−i2−i2i2i2000000−i2i2000
χ342-22-2-2-22220200-2-2000−2−2222i2i−2i−2i−2i2i0000-220000−220000002−22−2−i2−i2i2i2000000i2−i2000
χ352-22-2-2-22220200-2-2000−2−222−2i−2i2i2i2i−2i0000-220000−220000002−22−2i2i2−i2−i2000000−i2i2000
χ362-22-2-2-22220200-2-2000−2−222−2i−2i2i2i−2i2i00002-20000−22000000−22−22i2i2−i2−i2000000i2−i2000
χ372-2-22-22-220202-200-2002i−2i2i−2i2−22−200002i−2i00002-2002−2i2−i2i2−i20000i2−i2i2−i200002−200000
χ382-2-22-22-220202-200-2002i−2i2i−2i2−22−20000−2i2i0000-22002−2−i2i2−i2i20000i2−i2i2−i20000−2200000
χ392-2-22-22-220202-200-2002i−2i2i−2i−22−2200002i−2i00002-200−22−i2i2−i2i20000−i2i2−i2i20000−2200000
χ402-2-22-22-220202-200-2002i−2i2i−2i−22−220000−2i2i0000-2200−22i2−i2i2−i20000−i2i2−i2i200002−200000
χ412-2-22-22-220202-200-200−2i2i−2i2i2−22−200002i−2i0000-22002−2i2−i2i2−i20000−i2i2−i2i20000−2200000
χ422-2-22-22-220202-200-200−2i2i−2i2i2−22−20000−2i2i00002-2002−2−i2i2−i2i20000−i2i2−i2i200002−200000
χ432-2-22-22-220202-200-200−2i2i−2i2i−22−2200002i−2i0000-2200−22−i2i2−i2i20000i2−i2i2−i200002−200000
χ442-2-22-22-220202-200-200−2i2i−2i2i−22−220000−2i2i00002-200−22i2−i2i2−i20000i2−i2i2−i20000−2200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-440-400-4400000000000004-400000000000000000000000000000000000
χ47444-4-44-4-440-400-440000000000000-4400000000000000000000000000000000000
χ48444-4-44-4-4-404004-4000000000000000000000000000000022−22−2222000000000000000
χ49444-4-44-4-4-404004-40000000000000000000000000000000−222222−22000000000000000
χ5044-44-4-44-4040-4400-40000000000000000000000000022−22−22220000000000000000000
χ5144-44-4-44-4040-4400-400000000000000000000000000−222222−220000000000000000000
χ5244-44-4-44-40-404-40040000000000000000004i−4i00000000000000000000000000000
χ5344-44-4-44-40-404-4004000000000000000000−4i4i00000000000000000000000000000
χ5444-4-44-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ5544-4-44-4-4400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ5644-4-44-4-440000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ5744-4-44-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ584-4444-4-4-444-4-4-44-444-400000000000000000000000000000000000000000000000
χ594-4444-4-4-44-4-4444-4-4-4400000000000000000000000000000000000000000000000
χ604-4444-4-4-4-4-4444-44-44-400000000000000000000000000000000000000000000000
χ614-44-4-4-444-40-400440002222−22−220000000000000000−22220000000000000000000000000
χ624-44-4-4-444-40-40044000−22−222222000000000000000022−220000000000000000000000000
χ634-4-44-44-440-40-4400400000022−2222−2200000000000000−222200000000000000000000000
χ644-4-44-44-440-40-44004000000−2222−22220000000000000022−2200000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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