Finite Group Databasebeta

← Group #269583

Character table — Group #269583

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444422222444444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-111
χ51111111111111111111111111-1-1-1-111-1-111-1-11111111111111111-11-1-1-11-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111
χ71111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1
χ91111111111111111-1-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-11
χ121111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11-1-1111-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-1-111-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-111-111-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-11
χ172222222222-2-222-2-222-2-222-2-2-20000002200-2-2000000000000000020-2000000000
χ182222222222-2-222-2-222-2-222-2-2-2000000-2-200220000000000000000-202000000000
χ192222222222-2-222-2-2-2-222-2-2-2-220000002200220000000000000000-20-2000000000
χ202222222222-2-222-2-2-2-222-2-2-2-22000000-2-200-2-20000000000000000202000000000
χ2122222222-2-222-2-22222-2-2-2-2-2-2200002200-2-20000000000000000000-20002000000
χ2222222222-2-222-2-22222-2-2-2-2-2-220000-2-2002200000000000000000002000-2000000
χ2322222222-2-222-2-222-2-22222-2-2-200002200220000000000000000000-2000-2000000
χ2422222222-2-222-2-222-2-22222-2-2-20000-2-200-2-2000000000000000000020002000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222-222-2-20000000000000000000000000002-20000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-2-2-222000000000000000000000000000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2000000000000000000000000000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2220000000000000000000000000002-20000000
χ2922-22-22-2-2002-2002-2002i−2i2i−2i00000002i−2i002-200i2i2−i2−i222−2−222−2−2i2i2−i2−i2000000000000
χ3022-22-22-2-2002-2002-2002i−2i2i−2i00000002i−2i002-200−i2−i2i2i2−2−222−2−222−i2−i2i2i2000000000000
χ3122-22-22-2-2002-2002-2002i−2i2i−2i0000000−2i2i00-2200i2i2−i2−i222−2−2−2−222−i2−i2i2i2000000000000
χ3222-22-22-2-2002-2002-2002i−2i2i−2i0000000−2i2i00-2200−i2−i2i2i2−2−22222−2−2i2i2−i2−i2000000000000
χ3322-22-22-2-2002-2002-200−2i2i−2i2i00000002i−2i00-2200i2i2−i2−i2−2−22222−2−2−i2−i2i2i2000000000000
χ3422-22-22-2-2002-2002-200−2i2i−2i2i00000002i−2i00-2200−i2−i2i2i222−2−2−2−222i2i2−i2−i2000000000000
χ3522-22-22-2-2002-2002-200−2i2i−2i2i0000000−2i2i002-200i2i2−i2−i2−2−222−2−222i2i2−i2−i2000000000000
χ3622-22-22-2-2002-2002-200−2i2i−2i2i0000000−2i2i002-200−i2−i2i2i222−2−222−2−2−i2−i2i2i2000000000000
χ372-2-2-2-22222222-2-2-2-20000002-202-22-20000000000002i−2i2i−2i00000000000000002i−2i00
χ382-2-2-2-22222222-2-2-2-20000002-202-22-2000000000000−2i2i−2i2i0000000000000000−2i2i00
χ392-2-2-2-22222222-2-2-2-20000002-20-22-220000000000002i−2i2i−2i0000000000000000−2i2i00
χ402-2-2-2-22222222-2-2-2-20000002-20-22-22000000000000−2i2i−2i2i00000000000000002i−2i00
χ412-2-2-2-2222-2-2-2-222220000002-202-2-22000000002-22-20000000000000000002-20000
χ422-2-2-2-2222-2-2-2-222220000002-202-2-2200000000-22-22000000000000000000-220000
χ432-2-2-2-2222-2-2-2-222220000002-20-222-2000000002-22-2000000000000000000-220000
χ442-2-2-2-2222-2-2-2-222220000002-20-222-200000000-22-220000000000000000002-20000
χ45444-4-4-4-44000000004i−4i0000000000000000000000000002i−2i2i−2i2-22-2000000000000
χ46444-4-4-4-44000000004i−4i000000000000000000000000000−2i2i−2i2i-22-22000000000000
χ47444-4-4-4-4400000000−4i4i0000000000000000000000000002i−2i2i−2i-22-22000000000000
χ48444-4-4-4-4400000000−4i4i000000000000000000000000000−2i2i−2i2i2-22-2000000000000
χ4944-44-44-4-400-4400-44004i−4i−4i4i0000000000000000000000000000000000000000000
χ5044-44-44-4-400-4400-4400−4i4i4i−4i0000000000000000000000000000000000000000000
χ5144-4-44-44-44-4004-4000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ5244-4-44-44-44-4004-400000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ5344-4-44-44-4-4400-4400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5444-4-44-44-4-4400-440000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ554-444-4-44-44-400-44000000000000000004i−4i00000000000000000000000000000000
χ564-444-4-44-44-400-4400000000000000000−4i4i00000000000000000000000000000000
χ574-444-4-44-4-44004-40000000000000000000004i−4i0000000000000000000000000000
χ584-444-4-44-4-44004-4000000000000000000000−4i4i0000000000000000000000000000
χ594-44-444-4-4004-400-4400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-44-444-4-4004-400-440000000000000000000000000−2i22i22i2−2i200000000000000000000
χ614-44-444-4-400-44004-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ624-44-444-4-400-44004-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ634-4-4-4-444444-4-4-4-444000000-4400000000000000000000000000000000000000000
χ644-4-4-4-4444-4-44444-4-4000000-4400000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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