Finite Group Databasebeta

← Group #290381

Character table — Group #290381

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1111111-1-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-1111111-111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1-1-1111111-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1111111-1-1-1-11-1
χ17222222222-222-2-22-2-2-22222-2-2000022-2-2-2000000000000000000002-20000000000
χ18222222222-222-2-22-2-2-22222-2-20000-2-2-22200000000000000000000-220000000000
χ19222222222-222-2-22-2-2-2-2-2-2-2220000222-2-200000000000000000000-220000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2220000-2-2222000000000000000000002-20000000000
χ2122222222-22-2-222-22-2-222-2-222222200-200-2-200000000-2-222000000000000000000
χ2222222222-22-2-222-22-2-222-2-222-2-2-2-200-200220000000022-2-2000000000000000000
χ2322222222-22-2-222-22-2-2-2-222-2-22222002002200000000-2-2-2-2000000000000000000
χ2422222222-22-2-222-22-2-2-2-222-2-2-2-2-2-200200-2-2000000002222000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-2000000200002i2i−2i−2i000000000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-200000020000−2i−2i2i2i00000000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-22222000000-200002i2i−2i−2i00000000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-22222000000-20000−2i−2i2i2i000000000000000000002i−2i0000
χ292222-2-2-2-2222-22-2-2-22-2000000000000000002-22-222-2-2000000002-2000000000000
χ302222-2-2-2-2222-22-2-2-22-2000000000000000002-22-2-2-22200000000-22000000000000
χ312222-2-2-2-2222-22-2-2-22-200000000000000000-22-2222-2-200000000-22000000000000
χ322222-2-2-2-2222-22-2-2-22-200000000000000000-22-22-2-222000000002-2000000000000
χ332222-2-2-2-2-2-2-22-22222-2000000000000000002i−2i−2i2i0000000022-2-200002i−2i00000000
χ342222-2-2-2-2-2-2-22-22222-2000000000000000002i−2i−2i2i00000000-2-2220000−2i2i00000000
χ352222-2-2-2-2-2-2-22-22222-200000000000000000−2i2i2i−2i0000000022-2-20000−2i2i00000000
χ362222-2-2-2-2-2-2-22-22222-200000000000000000−2i2i2i−2i00000000-2-22200002i−2i00000000
χ3722-2-22-22-20-200220-2002i−2i002i−2i22-2-2000000000002−22−2002i−2ii2−i2i2−i20000002−200i2−i200
χ3822-2-22-22-20-200220-2002i−2i002i−2i22-2-200000000000−22−22002i−2i−i2i2−i2i2000000−2200−i2i200
χ3922-2-22-22-20-200220-2002i−2i002i−2i-2-222000000000002−22−200−2i2ii2−i2i2−i2000000−2200−i2i200
χ4022-2-22-22-20-200220-2002i−2i002i−2i-2-22200000000000−22−2200−2i2i−i2i2−i2i20000002−200i2−i200
χ4122-2-22-22-20-200220-200−2i2i00−2i2i22-2-2000000000002−22−200−2i2i−i2i2−i2i20000002−200−i2i200
χ4222-2-22-22-20-200220-200−2i2i00−2i2i22-2-200000000000−22−2200−2i2ii2−i2i2−i2000000−2200i2−i200
χ4322-2-22-22-20-200220-200−2i2i00−2i2i-2-222000000000002−22−2002i−2i−i2i2−i2i2000000−2200i2−i200
χ4422-2-22-22-20-200220-200−2i2i00−2i2i-2-22200000000000−22−22002i−2ii2−i2i2−i20000002−200−i2i200
χ454444-4-4-4-44-44-4-44-44-4400000000000000000000000000000000000000000000000
χ464444-4-4-4-4-44-444-44-4-4400000000000000000000000000000000000000000000000
χ4744-4-44-44-40400-4-404004i−4i00−4i4i00000000000000000000000000000000000000000
χ4844-4-44-44-40400-4-40400−4i4i004i−4i00000000000000000000000000000000000000000
χ4944-4-4-44-440400-440-400000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5044-4-4-44-440400-440-40000000000000000000000000000000−2i22i22i2−2i200000000000000
χ5144-4-4-44-440-4004-4040000000000000000000000022−22−22220000000000000000000000
χ5244-4-4-44-440-4004-40400000000000000000000000−222222−220000000000000000000000
χ534-44-444-4-440-4400-400000000000004-400000000000000000000000000000000000
χ544-44-444-4-440-4400-40000000000000-4400000000000000000000000000000000000
χ554-44-444-4-4-404-400400000000000000004i−4i00000000000000000000000000000000
χ564-44-444-4-4-404-40040000000000000000−4i4i00000000000000000000000000000000
χ574-44-4-4-44440-4-400400000000022−2222−2200000000000000022−2200000000000000000000
χ584-44-4-4-44440-4-4004000000000−2222−2222000000000000000−222200000000000000000000
χ594-44-4-4-444-404400-400000000022−2222−22000000000000000−222200000000000000000000
χ604-44-4-4-444-404400-4000000000−2222−222200000000000000022−2200000000000000000000
χ614-4-44-444-40000000000004i−4i0022−22−2222000002i2−2i2000000000000000000000000000000
χ624-4-44-444-40000000000004i−4i00−222222−2200000−2i22i2000000000000000000000000000000
χ634-4-44-444-4000000000000−4i4i0022−22−222200000−2i22i2000000000000000000000000000000
χ644-4-44-444-4000000000000−4i4i00−222222−22000002i2−2i2000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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