Finite Group Databasebeta

← Group #282126

Character table — Group #282126

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444288888888888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-11111111-1-111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1
χ10111111111-1-1-1-11111111-1-111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11
χ11111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-11
χ12111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111-1
χ13111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1
χ15111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-11-1
χ16111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-11
χ172222222222222-2-222-2-2222-2-2-2-2-2000000000000000000000000002-22-200000000
χ182222222222222-2-222-2-2222-2-2-2-2-200000000000000000000000000-22-2200000000
χ19222222222-2-2-2-2-2-222-2-22-2-2-2-2222000000000000000000000000002-2-2200000000
χ20222222222-2-2-2-2-2-222-2-22-2-2-2-222200000000000000000000000000-222-200000000
χ2122222222-2222222-2-222-2-2-2-2-222-222-2-2000022-2-200000000000000000000000000
χ2222222222-2222222-2-222-2-2-2-2-222-2-2-2220000-2-22200000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-222-2-220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-222-2-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ2522222222-2-2-2-2-222-2-222-222-2-2-2-2222-2-20000-2-22200000000000000000000000000
χ2622222222-2-2-2-2-222-2-222-222-2-2-2-22-2-222000022-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ292-2-2222-2-202i2i−2i−2i2-2002-2000002i−2i0002-222−2−2002i−2i00000000i2i2−i2−i2000000002−2i2−i200
χ302-2-2222-2-202i2i−2i−2i2-2002-2000002i−2i0002-2−2−222002i−2i00000000−i2−i2i2i200000000−22−i2i200
χ312-2-2222-2-202i2i−2i−2i2-2002-2000002i−2i000-2222−2−200−2i2i00000000i2i2−i2−i200000000−22−i2i200
χ322-2-2222-2-202i2i−2i−2i2-2002-2000002i−2i000-22−2−22200−2i2i00000000−i2−i2i2i2000000002−2i2−i200
χ332-2-2222-2-20−2i−2i2i2i2-2002-200000−2i2i0002-222−2−200−2i2i00000000−i2−i2i2i2000000002−2−i2i200
χ342-2-2222-2-20−2i−2i2i2i2-2002-200000−2i2i0002-2−2−22200−2i2i00000000i2i2−i2−i200000000−22i2−i200
χ352-2-2222-2-20−2i−2i2i2i2-2002-200000−2i2i000-2222−2−2002i−2i00000000−i2−i2i2i200000000−22i2−i200
χ362-2-2222-2-20−2i−2i2i2i2-2002-200000−2i2i000-22−2−222002i−2i00000000i2i2−i2−i2000000002−2−i2i200
χ372-2-22-2-22220000222-2-2-2-2002-20000000000000002i−2i2i−2i00002i−2i2i−2i0000002-2000000
χ382-2-22-2-22220000222-2-2-2-2002-20000000000000002i−2i2i−2i0000−2i2i−2i2i000000-22000000
χ392-2-22-2-22220000222-2-2-2-2002-2000000000000000−2i2i−2i2i00002i−2i2i−2i000000-22000000
χ402-2-22-2-22220000222-2-2-2-2002-2000000000000000−2i2i−2i2i0000−2i2i−2i2i0000002-2000000
χ412-2-22-2-222-20000-2-2-22222002-200000002-22-200002-2-22000000002-2000000000000
χ422-2-22-2-222-20000-2-2-22222002-200000002-22-20000-222-200000000-22000000000000
χ432-2-22-2-222-20000-2-2-22222002-20000000-22-2200002-2-2200000000-22000000000000
χ442-2-22-2-222-20000-2-2-22222002-20000000-22-220000-222-2000000002-2000000000000
χ454444-4-4-4-4000004-400-44000000000000000000000000000022−22−222200000000000000
χ464444-4-4-4-4000004-400-440000000000000000000000000000−222222−2200000000000000
χ474444-4-4-4-400000-44004-400000000000022−22−2222000000000000000000000000000000
χ484444-4-4-4-400000-44004-4000000000000−222222−22000000000000000000000000000000
χ4944-4-44-44-404-44-4000000000000002i2−2i20000002i2−2i20000000000000000000000000000
χ5044-4-44-44-404-44-400000000000000−2i22i2000000−2i22i20000000000000000000000000000
χ5144-4-44-44-40-44-44000000000000002i2−2i2000000−2i22i20000000000000000000000000000
χ5244-4-44-44-40-44-4400000000000000−2i22i20000002i2−2i20000000000000000000000000000
χ5344-4-4-44-444000000-4400-4000000000000000000000002i2−2i22i2−2i2000000000000000000
χ5444-4-4-44-444000000-4400-400000000000000000000000−2i22i2−2i22i2000000000000000000
χ5544-4-4-44-44-40000004-40040000000000000000000000022−22−2222000000000000000000
χ5644-4-4-44-44-40000004-400400000000000000000000000−222222−22000000000000000000
χ574-44-44-4-4444i−4i−4i4i00-4-40044i−4i0000000000000000000000000000000000000000000
χ584-44-44-4-444−4i4i4i−4i00-4-4004−4i4i0000000000000000000000000000000000000000000
χ594-44-44-4-44-44i−4i−4i4i004400-4−4i4i0000000000000000000000000000000000000000000
χ604-44-44-4-44-4−4i4i4i−4i004400-44i−4i0000000000000000000000000000000000000000000
χ614-4-4444-4-404i4i−4i−4i-4400-4400000−4i4i000000000000000000000000000000000000000
χ624-4-4444-4-40−4i−4i4i4i-4400-44000004i−4i000000000000000000000000000000000000000
χ634-4-44-4-44440000-4-44-444-400-4400000000000000000000000000000000000000000
χ644-4-44-4-444-4000044-44-4-4400-4400000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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