Finite Group Databasebeta

← Group #284100

Character table — Group #284100

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1111111-1-1-1-1
χ51111111111111111111111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111111-1-11-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1
χ11111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-11
χ12111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111111-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111111-1-1-111-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-111-1-111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1111-1-111-1-111-11
χ17222222222-2-22-222-2-2-2000022220000-2-2-2-2-2-222000000000000000000000000
χ18222222222-2-22-222-2-2-2000022-2-20000-2-22222-2-2000000000000000000000000
χ19222222222-2-22-222-2-2-20000-2-222000022-2-222-2-2000000000000000000000000
χ20222222222-2-22-222-2-2-20000-2-2-2-200002222-2-222000000000000000000000000
χ2122222222-222-22-2-22-2-222220000222200000000-2-200000000-200-20000000000
χ2222222222-222-22-2-22-2-222220000-2-2-2-200000000-2-20000000020020000000000
χ2322222222-222-22-2-22-2-2-2-2-2-2000022-2-2000000002200000000-20020000000000
χ2422222222-222-22-2-22-2-2-2-2-2-20000-2-222000000002200000000200-20000000000
χ252-222-2-22-202-20-2002002i2i−2i−2i00002i−2i2-200002−22−2000000i2i2−i2−i20000002−2i2−i20000
χ262-222-2-22-202-20-2002002i2i−2i−2i00002i−2i2-20000−22−22000000−i2−i2i2i2000000−22−i2i20000
χ272-222-2-22-202-20-2002002i2i−2i−2i0000−2i2i-2200002−22−2000000i2i2−i2−i2000000−22−i2i20000
χ282-222-2-22-202-20-2002002i2i−2i−2i0000−2i2i-220000−22−22000000−i2−i2i2i20000002−2i2−i20000
χ292-222-2-22-202-20-200200−2i−2i2i2i00002i−2i-2200002−22−2000000−i2−i2i2i2000000−22i2−i20000
χ302-222-2-22-202-20-200200−2i−2i2i2i00002i−2i-220000−22−22000000i2i2−i2−i20000002−2−i2i20000
χ312-222-2-22-202-20-200200−2i−2i2i2i0000−2i2i2-200002−22−2000000−i2−i2i2i20000002−2−i2i20000
χ322-222-2-22-202-20-200200−2i−2i2i2i0000−2i2i2-20000−22−22000000i2i2−i2−i2000000−22i2−i20000
χ332-2-2-22-222222-2-22-2-2-222i−2i2i−2i00000000000000002i−2i0000000002i−2i02-200000000
χ342-2-2-22-222222-2-22-2-2-222i−2i2i−2i00000000000000002i−2i000000000−2i2i0-2200000000
χ352-2-2-22-222222-2-22-2-2-22−2i2i−2i2i0000000000000000−2i2i0000000002i−2i0-2200000000
χ362-2-2-22-222222-2-22-2-2-22−2i2i−2i2i0000000000000000−2i2i000000000−2i2i02-200000000
χ372-2-2-22-222-2222-2-22-22-22i−2i2i−2i002-20000002-20000−2i2i0000000000000000002i−2i00
χ382-2-2-22-222-2222-2-22-22-22i−2i2i−2i00-22000000-220000−2i2i000000000000000000−2i2i00
χ392-2-2-22-222-2222-2-22-22-2−2i2i−2i2i002-20000002-200002i−2i000000000000000000−2i2i00
χ402-2-2-22-222-2222-2-22-22-2−2i2i−2i2i00-22000000-2200002i−2i0000000000000000002i−2i00
χ412-2-2-22-222-2-2-222-222-220000002-2000000-2200000022-2-22-22-200000000000000
χ422-2-2-22-222-2-2-222-222-220000002-2000000-22000000-2-222-22-2200000000000000
χ432-2-2-22-222-2-2-222-222-22000000-220000002-200000022-2-2-22-2200000000000000
χ442-2-2-22-222-2-2-222-222-22000000-220000002-2000000-2-2222-22-200000000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ4644-444-4-4-4400-40-4400000004-400000000000000000000000000000000000000
χ4744-444-4-4-4400-40-440000000-4400000000000000000000000000000000000000
χ4844-444-4-4-4-400404-4000000000000000000000000022−2222−22000000000000000000
χ4944-444-4-4-4-400404-40000000000000000000000000−2222−2222000000000000000000
χ5044-4-4-444-404-40400-4004-4-440000000000000000000000000000000000000000
χ5144-4-4-444-404-40400-400-444-40000000000000000000000000000000000000000
χ5244-4-4-444-40-440-400400000000000000000000000000002i2−2i2−2i22i200000000000000
χ5344-4-4-444-40-440-40040000000000000000000000000000−2i22i22i2−2i200000000000000
χ544-444-4-44-40-440400-400000000000000000022−22−2222000000000000000000000000
χ554-444-4-44-40-440400-4000000000000000000−222222−22000000000000000000000000
χ564-44-444-4-440040-4-4000000000000000000000000022−22−2222000000000000000000
χ574-44-444-4-440040-4-40000000000000000000000000−222222−22000000000000000000
χ584-44-444-4-4-400-40440000000000000004i−4i000000000000000000000000000000
χ594-44-444-4-4-400-4044000000000000000−4i4i000000000000000000000000000000
χ604-4-4-44-4444-4-4-444-444-400000000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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