Finite Group Databasebeta

← Group #286146

Character table — Group #286146

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444288888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
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
χ9111111111-1-1-1-11111111-1-1-1-111-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111-1-11-1
χ10111111111-1-1-1-11111111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-111-1-1-11
χ11111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-11-1-1-1-111-11
χ12111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11-111-1-1111-1
χ13111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11-111-1-111-11
χ14111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-11-1-1-1-1111-1
χ15111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11111-1-1-111-1-11-1
χ16111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-111111-1-1-11
χ172222222222222-2-222-2-2222-2-2-2-2-20000000000000000000000002200-2-200000000
χ182222222222222-2-222-2-2222-2-2-2-2-2000000000000000000000000-2-2002200000000
χ19222222222-2-2-2-2-2-222-2-22-2-222-2-220000000000000000000000002-2002-200000000
χ20222222222-2-2-2-2-2-222-2-22-2-222-2-22000000000000000000000000-2200-2200000000
χ2122222222-2222222-2-222-2-2-222-2-2-222-2-2000022-2-200000000000000000000000000
χ2222222222-2222222-2-222-2-2-222-2-2-2-2-2220000-2-22200000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-2-2-22220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-2-2-2222000000000000−2i−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
χ292-222-2-2-2202i2i−2i−2i2-2002-20002i−2i000002i−2ii2i2−i2−i2002-20000000022−2−2000000002−2i2−i200
χ302-222-2-2-2202i2i−2i−2i2-2002-20002i−2i000002i−2i−i2−i2i2i2002-200000000−2−22200000000−22−i2i200
χ312-222-2-2-2202i2i−2i−2i2-2002-20002i−2i00000−2i2ii2i2−i2−i200-220000000022−2−200000000−22−i2i200
χ322-222-2-2-2202i2i−2i−2i2-2002-20002i−2i00000−2i2i−i2−i2i2i200-2200000000−2−222000000002−2i2−i200
χ332-222-2-2-220−2i−2i2i2i2-2002-2000−2i2i000002i−2ii2i2−i2−i200-2200000000−2−222000000002−2−i2i200
χ342-222-2-2-220−2i−2i2i2i2-2002-2000−2i2i000002i−2i−i2−i2i2i200-220000000022−2−200000000−22i2−i200
χ352-222-2-2-220−2i−2i2i2i2-2002-2000−2i2i00000−2i2ii2i2−i2−i2002-200000000−2−22200000000−22i2−i200
χ362-222-2-2-220−2i−2i2i2i2-2002-2000−2i2i00000−2i2i−i2−i2i2i2002-20000000022−2−2000000002−2−i2i200
χ372-22-22-22-220000-2-22-222-200002-2000002i−2i2i−2i00002-22-2000000000000002i−2i000000
χ382-22-22-22-220000-2-22-222-200002-2000002i−2i2i−2i0000-22-2200000000000000−2i2i000000
χ392-22-22-22-220000-2-22-222-200002-200000−2i2i−2i2i00002-22-200000000000000−2i2i000000
χ402-22-22-22-220000-2-22-222-200002-200000−2i2i−2i2i0000-22-22000000000000002i−2i000000
χ412-22-22-22-2-2000022-22-2-2200002-200000000000002i−2i−2i2i00002-22-2002i−2i0000000000
χ422-22-22-22-2-2000022-22-2-2200002-200000000000002i−2i−2i2i0000-22-2200−2i2i0000000000
χ432-22-22-22-2-2000022-22-2-2200002-20000000000000−2i2i2i−2i00002-22-200−2i2i0000000000
χ442-22-22-22-2-2000022-22-2-2200002-20000000000000−2i2i2i−2i0000-22-22002i−2i0000000000
χ45444-4-44-4-4000004-400-44000000000000000000000000000022−22−222200000000000000
χ46444-4-44-4-4000004-400-440000000000000000000000000000−222222−2200000000000000
χ47444-4-44-4-400000-44004-400000000000022−22−2222000000000000000000000000000000
χ48444-4-44-4-400000-44004-4000000000000−222222−22000000000000000000000000000000
χ4944-4-44-4-4444i−4i4i−4i00-4-40044i−4i0000000000000000000000000000000000000000000
χ5044-4-44-4-444−4i4i−4i4i00-4-4004−4i4i0000000000000000000000000000000000000000000
χ5144-4-44-4-44-44i−4i4i−4i004400-4−4i4i0000000000000000000000000000000000000000000
χ5244-4-44-4-44-4−4i4i−4i4i004400-44i−4i0000000000000000000000000000000000000000000
χ534-444-4-4-4404i4i−4i−4i-4400-44000−4i4i00000000000000000000000000000000000000000
χ544-444-4-4-440−4i−4i4i4i-4400-440004i−4i00000000000000000000000000000000000000000
χ554-44-44-44-440000444-4-4-4-40000-44000000000000000000000000000000000000000
χ564-44-44-44-4-40000-4-4-444440000-44000000000000000000000000000000000000000
χ574-4-4444-4-44000000-4400-40000000000000000000000022−2222−22000000000000000000
χ584-4-4444-4-44000000-4400-400000000000000000000000−2222−2222000000000000000000
χ594-4-4444-4-4-40000004-4004000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-4-4444-4-4-40000004-400400000000000000000000000−2i22i22i2−2i2000000000000000000
χ614-4-4-4-444404-4-440000000000000022−2200000022−220000000000000000000000000000
χ624-4-4-4-444404-4-4400000000000000−2222000000−22220000000000000000000000000000
χ634-4-4-4-44440-444-40000000000000022−22000000−22220000000000000000000000000000
χ644-4-4-4-44440-444-400000000000000−222200000022−220000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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