Finite Group Databasebeta

← Group #286856

Character table — Group #286856

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
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
χ911111111111-1-1-1-111111-1-1-1-111-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-11
χ1111111111111-1-1-1-111111-1-1-1-111-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11
χ1211111111111-1-1-1-111111-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11-1
χ1311111111111-1-1-1-111111-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-111-1-1-11
χ1411111111111-1-1-1-111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1111-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1
χ1611111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-11111-1-1-11
χ172222222222-222222-2-2-2222-2-2-2-2-2000000000000000000000000002-22-200000000
χ182222222222-222222-2-2-2222-2-2-2-2-200000000000000000000000000-22-2200000000
χ192222222222-2-2-2-2-22-2-2-22-2-222-2-22000000000000000000000000002-2-2200000000
χ202222222222-2-2-2-2-22-2-2-22-2-222-2-2200000000000000000000000000-222-200000000
χ2122222222-2-222222-2222-2-2-222-2-2-2000022-2-200000000-2-222000000000000000000
χ2222222222-2-222222-2222-2-2-222-2-2-20000-2-2220000000022-2-2000000000000000000
χ2322222222-2-22-2-2-2-2-2222-222-2-2-2-220000222200000000-2-2-2-2000000000000000000
χ2422222222-2-22-2-2-2-2-2222-222-2-2-2-220000-2-2-2-2000000002222000000000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-22222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-2222−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ2922-2-2-222-22-220000-22-2-2200002-202-22-200002i2i−2i−2i0000000000000000002i−2i000000
χ3022-2-2-222-22-220000-22-2-2200002-202-22-20000−2i−2i2i2i000000000000000000−2i2i000000
χ3122-2-2-222-22-220000-22-2-2200002-20-22-2200002i2i−2i−2i000000000000000000−2i2i000000
χ3222-2-2-222-22-220000-22-2-2200002-20-22-220000−2i−2i2i2i0000000000000000002i−2i000000
χ3322-2-2-222-2-22-200002-222-200002-202i−2i−2i2i00000000000000002i2i−2i−2i2-2000000000000
χ3422-2-2-222-2-22-200002-222-200002-202i−2i−2i2i0000000000000000−2i−2i2i2i-22000000000000
χ3522-2-2-222-2-22-200002-222-200002-20−2i2i2i−2i00000000000000002i2i−2i−2i-22000000000000
χ3622-2-2-222-2-22-200002-222-200002-20−2i2i2i−2i0000000000000000−2i−2i2i2i2-2000000000000
χ372-222-22-2-200-22i2i−2i−2i022-20002i−2i00000002-200i2−i2i2−i20000002i−2i2−22−200000000i2−i22−200
χ382-222-22-2-200-22i2i−2i−2i022-20002i−2i00000002-200−i2i2−i2i20000002i−2i−22−2200000000−i2i2−2200
χ392-222-22-2-200-22i2i−2i−2i022-20002i−2i0000000-2200i2−i2i2−i2000000−2i2i2−22−200000000−i2i2−2200
χ402-222-22-2-200-22i2i−2i−2i022-20002i−2i0000000-2200−i2i2−i2i2000000−2i2i−22−2200000000i2−i22−200
χ412-222-22-2-200-2−2i−2i2i2i022-2000−2i2i00000002-200i2−i2i2−i2000000−2i2i−22−2200000000i2−i2−2200
χ422-222-22-2-200-2−2i−2i2i2i022-2000−2i2i00000002-200−i2i2−i2i2000000−2i2i2−22−200000000−i2i22−200
χ432-222-22-2-200-2−2i−2i2i2i022-2000−2i2i0000000-2200i2−i2i2−i20000002i−2i−22−2200000000−i2i22−200
χ442-222-22-2-200-2−2i−2i2i2i022-2000−2i2i0000000-2200−i2i2−i2i20000002i−2i2−22−200000000i2−i2−2200
χ45444-44-4-4-44-4000004000-4000000000000000000022−2222−220000000000000000000000
χ46444-44-4-4-44-4000004000-40000000000000000000−2222−22220000000000000000000000
χ47444-44-4-4-4-4400000-4000400000000000000000002i2−2i2−2i22i20000000000000000000000
χ48444-44-4-4-4-4400000-400040000000000000000000−2i22i22i2−2i20000000000000000000000
χ4944-44-4-4-444404-44-4-4000-44-40000000000000000000000000000000000000000000
χ5044-44-4-4-44440-44-44-4000-4-440000000000000000000000000000000000000000000
χ5144-44-4-4-44-4-404-44-440004-440000000000000000000000000000000000000000000
χ5244-44-4-4-44-4-40-44-44400044-40000000000000000000000000000000000000000000
χ5344-4-4-444-44-4-40000-4-44440000-44000000000000000000000000000000000000000
χ5444-4-4-444-4-444000044-4-4-40000-44000000000000000000000000000000000000000
χ554-444-44-4-40044i4i−4i−4i0-4-44000−4i4i00000000000000000000000000000000000000000
χ564-444-44-4-4004−4i−4i4i4i0-4-440004i−4i00000000000000000000000000000000000000000
χ574-4-444-44-40004i−4i−4i4i00000000000000000022−22000000002i2−2i200000000000000000000
χ584-4-444-44-40004i−4i−4i4i000000000000000000−222200000000−2i22i200000000000000000000
χ594-4-444-44-4000−4i4i4i−4i00000000000000000022−2200000000−2i22i200000000000000000000
χ604-4-444-44-4000−4i4i4i−4i000000000000000000−2222000000002i2−2i200000000000000000000
χ614-4-4-444-4400400000-44-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-4-444-4400400000-44-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-4-444-4400-4000004-44000000000000000022−22−222200000000000000000000000000
χ644-4-4-444-4400-4000004-440000000000000000−222222−2200000000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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