Finite Group Databasebeta

← Group #338708

Character table — Group #338708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-11111-1-1-1-11111111111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-11-1-1111111-1
χ9111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-111
χ11111111111111111111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-11-1-111-1-11-11
χ17222222222-2-22-2-222-2-22222000022220000-2-2000000000000-2-20000-20000000000
χ18222222222-2-22-2-222-2-222220000-2-2-2-2000022000000000000-2-2000020000000000
χ19222222222-2-22-2-222-2-2-2-2-2-2000022-2-2000022000000000000220000-20000000000
χ20222222222-2-22-2-222-2-2-2-2-2-20000-2-2220000-2-200000000000022000020000000000
χ2122222222-222-222-2-2-2-200002222000022-2-200-2-2-2-20000000000000002000000000
χ2222222222-222-222-2-2-2-2000022220000-2-2220022-2-2000000000000000-2000000000
χ2322222222-222-222-2-2-2-20000-2-2-2-2000022-2-2002222000000000000000-2000000000
χ2422222222-222-222-2-2-2-20000-2-2-2-20000-2-22200-2-2220000000000000002000000000
χ252222-2-2-2-2-2-2-2222-22-22000000000000000000000022-2-22i2i−2i−2i000000002i−2i0000000
χ262222-2-2-2-2-2-2-2222-22-22000000000000000000000022-2-2−2i−2i2i2i00000000−2i2i0000000
χ272222-2-2-2-2-2-2-2222-22-220000000000000000000000-2-2222i2i−2i−2i00000000−2i2i0000000
χ282222-2-2-2-2-2-2-2222-22-220000000000000000000000-2-222−2i−2i2i2i000000002i−2i0000000
χ2922-2-22-2-2202-202-20000i2i2−i2−i22i2i−2i−2i0000002i−2i002-20000002−22−2i2−i222−2−2000000i2−i2000
χ3022-2-22-2-2202-202-20000i2i2−i2−i22i2i−2i−2i000000−2i2i00-22000000−22−22i2−i222−2−2000000−i2i2000
χ3122-2-22-2-2202-202-20000i2i2−i2−i2−2i−2i2i2i0000002i−2i00-220000002−22−2i2−i2−2−222000000−i2i2000
χ3222-2-22-2-2202-202-20000i2i2−i2−i2−2i−2i2i2i000000−2i2i002-2000000−22−22i2−i2−2−222000000i2−i2000
χ3322-2-22-2-2202-202-20000−i2−i2i2i22i2i−2i−2i0000002i−2i002-2000000−22−22−i2i2−2−222000000−i2i2000
χ3422-2-22-2-2202-202-20000−i2−i2i2i22i2i−2i−2i000000−2i2i00-220000002−22−2−i2i2−2−222000000i2−i2000
χ3522-2-22-2-2202-202-20000−i2−i2i2i2−2i−2i2i2i0000002i−2i00-22000000−22−22−i2i222−2−2000000i2−i2000
χ3622-2-22-2-2202-202-20000−i2−i2i2i2−2i−2i2i2i000000−2i2i002-20000002−22−2−i2i222−2−2000000−i2i2000
χ372-22-222-2-2-2002002-2002-22-2i2−i2i2−i22-22-200000000i2−i2i2−i2i2−i2000000i2−i2i2−i20000i2−i200000
χ382-22-222-2-2-2002002-2002-22-2i2−i2i2−i2-22-2200000000i2−i2−i2i2−i2i2000000i2−i2i2−i20000−i2i200000
χ392-22-222-2-2-2002002-2002-22-2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2000000−i2i2−i2i20000−i2i200000
χ402-22-222-2-2-2002002-2002-22-2−i2i2−i2i2-22-2200000000−i2i2i2−i2i2−i2000000−i2i2−i2i20000i2−i200000
χ412-22-222-2-2-2002002-200-22-22i2−i2i2−i22-2-2200000000i2−i2−i2i2−i2i2000000−i2i2−i2i20000i2−i200000
χ422-22-222-2-2-2002002-200-22-22i2−i2i2−i2-222-200000000i2−i2i2−i2i2−i2000000−i2i2−i2i20000−i2i200000
χ432-22-222-2-2-2002002-200-22-22−i2i2−i2i22-2-2200000000−i2i2i2−i2i2−i2000000i2−i2i2−i20000−i2i200000
χ442-22-222-2-2-2002002-200-22-22−i2i2−i2i2-222-200000000−i2i2−i2i2−i2i2000000i2−i2i2−i20000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4444-4-4-44-4-4400000000000000000000000000000000000000000000000
χ474444-4-4-4-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ484444-4-4-4-4-4444-4-4-444-400000000000000000000000000000000000000000000000
χ4944-4-44-4-440-440-4400002i22i2−2i2−2i200000000000000000000000000−2i22i2000000000000000
χ5044-4-44-4-440-440-440000−2i2−2i22i22i2000000000000000000000000002i2−2i2000000000000000
χ5144-4-4-444-404-40-4400000000000000004i−4i000000000000000000000000000000000
χ5244-4-4-444-404-40-440000000000000000−4i4i000000000000000000000000000000000
χ5344-4-4-444-40-4404-40000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ5444-4-4-444-40-4404-4000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ554-44-444-4-4400-400-440000002i2−2i22i2−2i2000000000000−2i22i20000000000000000000000000
χ564-44-444-4-4400-400-44000000−2i22i2−2i22i20000000000002i2−2i20000000000000000000000000
χ574-44-4-4-444400400-4-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ584-44-4-4-444400400-4-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ594-44-4-4-444-400-400440000000000000000004-400000000000000000000000000000
χ604-44-4-4-444-400-40044000000000000000000-4400000000000000000000000000000
χ614-4-444-44-400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ624-4-444-44-400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ634-4-444-44-40000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ644-4-444-44-40000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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