Finite Group Databasebeta

← Group #286170

Character table — Group #286170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444288888888888888888888888824444444888844
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
χ9111111111-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-11
χ10111111111-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-111111-1-11-1
χ11111111111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11-111-1-1111-1
χ12111111111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-11-1-1-1-111-11
χ13111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-11-1-1-1-1111-1
χ14111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-11-111-1-111-11
χ15111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-1-111111-1-1-11
χ16111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1111-1-1-111-1-11-1
χ172222222222222-2-222-2-22-2-2-2-222-20000000000000000000000002200-2-200000000
χ182222222222222-2-222-2-22-2-2-2-222-2000000000000000000000000-2-2002200000000
χ19222222222-2-2-2-2-2-222-2-22-2-222-2-220000000000000000000000002-200-2200000000
χ20222222222-2-2-2-2-2-222-2-22-2-222-2-22000000000000000000000000-22002-200000000
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
χ2322222222-22222-2-2-2-2-2-2-222-2-2-2-220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ2422222222-22222-2-2-2-2-2-2-222-2-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ2522222222-2-2-2-2-222-2-222-2-2-2-2-222222-2-20000-2-22200000000000000000000000000
χ2622222222-2-2-2-2-222-2-222-2-2-2-2-2222-2-222000022-2-200000000000000000000000000
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
χ2922-2-2-222-202i2i−2i−2i2-2002-20002i−2i000002i−2ii2i2−i2−i2002-20000000022−2−2000000002−2i2−i200
χ3022-2-2-222-202i2i−2i−2i2-2002-20002i−2i000002i−2i−i2−i2i2i2002-200000000−2−22200000000−22−i2i200
χ3122-2-2-222-202i2i−2i−2i2-2002-20002i−2i00000−2i2ii2i2−i2−i200-220000000022−2−200000000−22−i2i200
χ3222-2-2-222-202i2i−2i−2i2-2002-20002i−2i00000−2i2i−i2−i2i2i200-2200000000−2−222000000002−2i2−i200
χ3322-2-2-222-20−2i−2i2i2i2-2002-2000−2i2i000002i−2ii2i2−i2−i200-2200000000−2−222000000002−2−i2i200
χ3422-2-2-222-20−2i−2i2i2i2-2002-2000−2i2i000002i−2i−i2−i2i2i200-220000000022−2−200000000−22i2−i200
χ3522-2-2-222-20−2i−2i2i2i2-2002-2000−2i2i00000−2i2ii2i2−i2−i2002-200000000−2−22200000000−22i2−i200
χ3622-2-2-222-20−2i−2i2i2i2-2002-2000−2i2i00000−2i2i−i2−i2i2i2002-20000000022−2−2000000002−2−i2i200
χ372-222-2-22-220000-2-22-222-22-20000000002i−2i2i−2i000000002-22-200000000002i−2i000000
χ382-222-2-22-220000-2-22-222-22-20000000002i−2i2i−2i00000000-22-220000000000−2i2i000000
χ392-222-2-22-220000-2-22-222-22-2000000000−2i2i−2i2i000000002-22-20000000000−2i2i000000
χ402-222-2-22-220000-2-22-222-22-2000000000−2i2i−2i2i00000000-22-2200000000002i−2i000000
χ412-222-2-22-2-2000022-22-2-222-20000000000000000000002i−2i−2i2i2-22-2002i−2i0000000000
χ422-222-2-22-2-2000022-22-2-222-20000000000000000000002i−2i−2i2i-22-2200−2i2i0000000000
χ432-222-2-22-2-2000022-22-2-222-2000000000000000000000−2i2i2i−2i2-22-200−2i2i0000000000
χ442-222-2-22-2-2000022-22-2-222-2000000000000000000000−2i2i2i−2i-22-22002i−2i0000000000
χ45444-44-4-4-404-44-40000000000000022−2200000022−220000000000000000000000000000
χ46444-44-4-4-404-44-400000000000000−2222000000−22220000000000000000000000000000
χ47444-44-4-4-40-44-440000000000000022−22000000−22220000000000000000000000000000
χ48444-44-4-4-40-44-4400000000000000−222200000022−220000000000000000000000000000
χ4944-44-4-4-4444i−4i−4i4i00-4-400400004i−4i000000000000000000000000000000000000000
χ5044-44-4-4-444−4i4i4i−4i00-4-40040000−4i4i000000000000000000000000000000000000000
χ5144-44-4-4-44-44i−4i−4i4i004400-40000−4i4i000000000000000000000000000000000000000
χ5244-44-4-4-44-4−4i4i4i−4i004400-400004i−4i000000000000000000000000000000000000000
χ5344-4-4-444-404i4i−4i−4i-4400-44000−4i4i00000000000000000000000000000000000000000
χ5444-4-4-444-40−4i−4i4i4i-4400-440004i−4i00000000000000000000000000000000000000000
χ554-444-4-44-440000444-4-4-4-4-440000000000000000000000000000000000000000000
χ564-444-4-44-4-40000-4-4-44444-440000000000000000000000000000000000000000000
χ574-4-4444-4-44000000-4400-4000000000000000000022−2222−220000000000000000000000
χ584-4-4444-4-44000000-4400-40000000000000000000−2222−22220000000000000000000000
χ594-4-4444-4-4-40000004-400400000000000000000002i2−2i2−2i22i20000000000000000000000
χ604-4-4444-4-4-40000004-40040000000000000000000−2i22i22i2−2i20000000000000000000000
χ614-4-4-44-444000004-400-44000000000000000000000000000022−22−222200000000000000
χ624-4-4-44-444000004-400-440000000000000000000000000000−222222−2200000000000000
χ634-4-4-44-44400000-44004-400000000000022−22−2222000000000000000000000000000000
χ644-4-4-44-44400000-44004-4000000000000−222222−22000000000000000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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