Finite Group Databasebeta

← Group #276196

Character table — Group #276196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888824444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1111111-1-1
χ9111111111111111111-1-1-1-1-1-111111111-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1111-1
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-11-1
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-11-1-111-1-11-1
χ172222222222-22-2-2-22-2-22222-2-2000022-2-2-200000000000000000020000-200000000
χ182222222222-22-2-2-22-2-22222-2-20000-2-222-2000000000000000000-20000200000000
χ192222222222-22-2-2-22-2-2-2-2-2-222000022-2-22000000000000000000-20000200000000
χ202222222222-22-2-2-22-2-2-2-2-2-2220000-2-222200000000000000000020000-200000000
χ2122222222-2-22-2222-2-2-222-2-2-2-2222200002-2-222-2-200000000000000000000000000
χ2222222222-2-22-2222-2-2-222-2-2-2-2-2-2-2-20000222-2-22200000000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-2222222220000-2-2-2-2-22200000000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-22222-2-2-2-20000-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-22200000000-200000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22200000000-20000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-2-200000000200000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2-20000000020000000000−2i−2i2i2i00000000002i−2i000000
χ2922-2-2-22-222-222-2-22-22-200000000002i−2i2i−2i000000022-2-20000000002i−2i00000000000
χ3022-2-2-22-222-222-2-22-22-200000000002i−2i2i−2i0000000-2-222000000000−2i2i00000000000
χ3122-2-2-22-222-222-2-22-22-20000000000−2i2i−2i2i000000022-2-2000000000−2i2i00000000000
χ3222-2-2-22-222-222-2-22-22-20000000000−2i2i−2i2i0000000-2-2220000000002i−2i00000000000
χ3322-2-2-22-222-2-2222-2-2-2200000000002i−2i−2i2i0000000000000002i2i−2i−2i0002-2000000000
χ3422-2-2-22-222-2-2222-2-2-2200000000002i−2i−2i2i000000000000000−2i−2i2i2i000-22000000000
χ3522-2-2-22-222-2-2222-2-2-220000000000−2i2i2i−2i0000000000000002i2i−2i−2i000-22000000000
χ3622-2-2-22-222-2-2222-2-2-220000000000−2i2i2i−2i000000000000000−2i−2i2i2i0002-2000000000
χ372-2-222-2-2200202-2-2000002-22-22i2i−2i−2i0000000002i−2ii2−i2i2−i20000i2−i2i2−i2000000002−22−200
χ382-2-222-2-2200202-2-2000002-22-22i2i−2i−2i0000000002i−2i−i2i2−i2i20000−i2i2−i2i200000000−22−2200
χ392-2-222-2-2200202-2-2000002-22-2−2i−2i2i2i000000000−2i2ii2−i2i2−i20000i2−i2i2−i200000000−22−2200
χ402-2-222-2-2200202-2-2000002-22-2−2i−2i2i2i000000000−2i2i−i2i2−i2i20000−i2i2−i2i2000000002−22−200
χ412-2-222-2-2200202-2-200000-22-222i2i−2i−2i000000000−2i2ii2−i2i2−i20000−i2i2−i2i2000000002−2−2200
χ422-2-222-2-2200202-2-200000-22-222i2i−2i−2i000000000−2i2i−i2i2−i2i20000i2−i2i2−i200000000−222−200
χ432-2-222-2-2200202-2-200000-22-22−2i−2i2i2i0000000002i−2ii2−i2i2−i20000−i2i2−i2i200000000−222−200
χ442-2-222-2-2200202-2-200000-22-22−2i−2i2i2i0000000002i−2i−i2i2−i2i20000i2−i2i2−i2000000002−2−2200
χ4544-44-4-44-400000000004i−4i00002i2−2i22i2−2i2000000022−220000000000000000000000000000
χ4644-44-4-44-400000000004i−4i0000−2i22i2−2i22i20000000−22220000000000000000000000000000
χ4744-44-4-44-40000000000−4i4i00002i2−2i22i2−2i20000000−22220000000000000000000000000000
χ4844-44-4-44-40000000000−4i4i0000−2i22i2−2i22i2000000022−220000000000000000000000000000
χ4944-4-4-44-44-444-4-4-444-4400000000000000000000000000000000000000000000000
χ5044-4-4-44-44-44-4-444-444-400000000000000000000000000000000000000000000000
χ514-444-44-4-4440-4000-40000000022−22−22220000022−22000000000000000000000000000000
χ524-444-44-4-4440-4000-400000000−222222−2200000−2222000000000000000000000000000000
χ534-444-44-4-4-4-40400040000000022−22−222200000−2222000000000000000000000000000000
χ544-444-44-4-4-4-404000400000000−222222−220000022−22000000000000000000000000000000
χ554-44-4-4-4440040-44-40000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-44-4-4-4440040-44-4000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-44-4-4-44400-404-440000000000000000000000000000000022−22−222200000000000000
χ584-44-4-4-44400-404-4400000000000000000000000000000000−222222−2200000000000000
χ594-4-444-4-4400-40-444000004-4-4400000000000000000000000000000000000000000
χ604-4-444-4-4400-40-44400000-444-400000000000000000000000000000000000000000
χ614-4-4-4444-44-40-4000400000000000000000000000000022−2222−22000000000000000000
χ624-4-4-4444-44-40-40004000000000000000000000000000−2222−2222000000000000000000
χ634-4-4-4444-4-4404000-40000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ644-4-4-4444-4-4404000-4000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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