Finite Group Databasebeta

← Group #259180

Character table — Group #259180

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111
χ51111111111111111111111-1-11111-1-1-1-1-1-11111111111-11-1-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-11111-1-111111111-1-1-111-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-111-1-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11-1-11-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11111-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1111111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-222002-22200000000000000-20-2000000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2002-2-2-200000000000000202000000000000000
χ192222222222-2-222-2-2-2-222-2-22200-22-2-200000000000000-202000000000000000
χ202222222222-2-222-2-2-2-222-2-2-2-200-22220000000000000020-2000000000000000
χ2122222222-2-222-2-2222222-2-20022-2-200000022000000000-2000-2000000000000
χ2222222222-2-222-2-2222222-2-200-2-2-2-2000000-2-200000000020002000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-2002222000000-2-20000000002000-2000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-200-2-22200000022000000000-20002000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-220022-2-200000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-2200-2-2220000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-20022-2-20000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-200-2-22200000000000000002-20000000000
χ2922-2-22-2-2222-2-2-2-22200002-2000000002i−2i2i−2i002i2i−2i−2i0000000000002-200000000
χ3022-2-22-2-2222-2-2-2-22200002-2000000002i−2i2i−2i00−2i−2i2i2i000000000000-2200000000
χ3122-2-22-2-2222-2-2-2-22200002-200000000−2i2i−2i2i002i2i−2i−2i000000000000-2200000000
χ3222-2-22-2-2222-2-2-2-22200002-200000000−2i2i−2i2i00−2i−2i2i2i0000000000002-200000000
χ3322-2-22-2-22-2-22222-2-200002-2000000002i−2i−2i2i00000022-2-20002i−2i0000000000000
χ3422-2-22-2-22-2-22222-2-200002-2000000002i−2i−2i2i000000-2-222000−2i2i0000000000000
χ3522-2-22-2-22-2-22222-2-200002-200000000−2i2i2i−2i00000022-2-2000−2i2i0000000000000
χ3622-2-22-2-22-2-22222-2-200002-200000000−2i2i2i−2i000000-2-2220002i−2i0000000000000
χ372-2-2-2222-2002-2002-22i−2i2i−2i00002-2000000002i−2ii2−i2i2−i22−22−200000000000000i2−i22−2
χ382-2-2-2222-2002-2002-22i−2i2i−2i00002-2000000002i−2i−i2i2−i2i2−22−2200000000000000−i2i2−22
χ392-2-2-2222-2002-2002-22i−2i2i−2i0000-2200000000−2i2ii2−i2i2−i22−22−200000000000000−i2i2−22
χ402-2-2-2222-2002-2002-22i−2i2i−2i0000-2200000000−2i2i−i2i2−i2i2−22−2200000000000000i2−i22−2
χ412-2-2-2222-2002-2002-2−2i2i−2i2i00002-200000000−2i2ii2−i2i2−i2−22−2200000000000000i2−i2−22
χ422-2-2-2222-2002-2002-2−2i2i−2i2i00002-200000000−2i2i−i2i2−i2i22−22−200000000000000−i2i22−2
χ432-2-2-2222-2002-2002-2−2i2i−2i2i0000-22000000002i−2ii2−i2i2−i2−22−2200000000000000−i2i22−2
χ442-2-2-2222-2002-2002-2−2i2i−2i2i0000-22000000002i−2i−i2i2−i2i22−22−200000000000000i2−i2−22
χ45444-4-44-4-44-4004-4000000000000004-400000000000000000000000000000000
χ46444-4-44-4-44-4004-400000000000000-4400000000000000000000000000000000
χ47444-4-44-4-4-4400-44000000004-400000000000000000000000000000000000000
χ48444-4-44-4-4-4400-4400000000-4400000000000000000000000000000000000000
χ4944-44-4-44-44-400-4400000000000000000000000000000000000000000022−220000
χ5044-44-4-44-44-400-44000000000000000000000000000000000000000000−22220000
χ5144-44-4-44-4-44004-4000000000000000000000000000000000000000022−22000000
χ5244-44-4-44-4-44004-40000000000000000000000000000000000000000−2222000000
χ5344-4-44-4-444444-4-4-4-40000-440000000000000000000000000000000000000000
χ5444-4-44-4-44-4-4-4-444440000-440000000000000000000000000000000000000000
χ554-4444-4-4-4004-400-4400000000000000000000000022−22−2222000000000000000000
χ564-4444-4-4-4004-400-44000000000000000000000000−222222−22000000000000000000
χ574-4444-4-4-400-44004-40000000000000000000022−22−22220000000000000000000000
χ584-4444-4-4-400-44004-400000000000000000000−222222−220000000000000000000000
χ594-4-4-4444-400-4400-444i−4i−4i4i000000000000000000000000000000000000000000
χ604-4-4-4444-400-4400-44−4i4i4i−4i000000000000000000000000000000000000000000
χ618-88-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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