Finite Group Databasebeta

← Group #335811

Character table — Group #335811

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111111-11
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-11-1
χ9111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ17222222222-2-2222-2-2-2-22222000000220000-2-222-2-200000000000000-20000000000
χ18222222222-2-2222-2-2-2-22222000000-2-2000022-2-2-2-20000000000000020000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-2000000220000-2-2-2-2220000000000000020000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-2000000-2-2000022222200000000000000-20000000000
χ2122222222-222-2-2-222-2-200002222220022-2-2000000-2-20000000000000-2000000000
χ2222222222-222-2-2-222-2-200002222-2-200-2-222000000-2-200000000000002000000000
χ2322222222-222-2-2-222-2-20000-2-2-2-22200-2-222000000220000000000000-2000000000
χ2422222222-222-2-2-222-2-20000-2-2-2-2-2-20022-2-20000002200000000000002000000000
χ2522-2-2-222-202-20002-200i2i2−i2−i22i2i−2i−2i2-2002i−2i000000i2−i20022−2−2000022−2−20000i2−i200000
χ2622-2-2-222-202-20002-200i2i2−i2−i22i2i−2i−2i-2200−2i2i000000i2−i200−2−222000022−2−20000−i2i200000
χ2722-2-2-222-202-20002-200i2i2−i2−i2−2i−2i2i2i2-200−2i2i000000i2−i200−2−2220000−2−2220000i2−i200000
χ2822-2-2-222-202-20002-200i2i2−i2−i2−2i−2i2i2i-22002i−2i000000i2−i20022−2−20000−2−2220000−i2i200000
χ2922-2-2-222-202-20002-200−i2−i2i2i22i2i−2i−2i2-2002i−2i000000−i2i200−2−2220000−2−2220000−i2i200000
χ3022-2-2-222-202-20002-200−i2−i2i2i22i2i−2i−2i-2200−2i2i000000−i2i20022−2−20000−2−2220000i2−i200000
χ3122-2-2-222-202-20002-200−i2−i2i2i2−2i−2i2i2i2-200−2i2i000000−i2i20022−2−2000022−2−20000−i2i200000
χ3222-2-2-222-202-20002-200−i2−i2i2i2−2i−2i2i2i-22002i−2i000000−i2i200−2−222000022−2−20000i2−i200000
χ332-222-22-2-2200-2-2200002i−2i2i−2ii2−i2i2−i2002-20000002i−2i00i2−i20000i2i2−i2−i22−22−20000002−2000
χ342-222-22-2-2200-2-2200002i−2i2i−2ii2−i2i2−i200-22000000−2i2i00i2−i20000−i2−i2i2i22−22−2000000−22000
χ352-222-22-2-2200-2-2200002i−2i2i−2i−i2i2−i2i2002-20000002i−2i00−i2i20000−i2−i2i2i2−22−22000000−22000
χ362-222-22-2-2200-2-2200002i−2i2i−2i−i2i2−i2i200-22000000−2i2i00−i2i20000i2i2−i2−i2−22−220000002−2000
χ372-222-22-2-2200-2-220000−2i2i−2i2ii2−i2i2−i2002-2000000−2i2i00i2−i20000i2i2−i2−i2−22−22000000−22000
χ382-222-22-2-2200-2-220000−2i2i−2i2ii2−i2i2−i200-220000002i−2i00i2−i20000−i2−i2i2i2−22−220000002−2000
χ392-222-22-2-2200-2-220000−2i2i−2i2i−i2i2−i2i2002-2000000−2i2i00−i2i20000−i2−i2i2i22−22−20000002−2000
χ402-222-22-2-2200-2-220000−2i2i−2i2i−i2i2−i2i200-220000002i−2i00−i2i20000i2i2−i2−i22−22−2000000−22000
χ412-2-222-22-2-2222-22-2-2-220000000000000000000000002-22-22i−2i2i−2i0000002i−2i0000000
χ422-2-222-22-2-2222-22-2-2-220000000000000000000000002-22-2−2i2i−2i2i000000−2i2i0000000
χ432-2-222-22-2-2222-22-2-2-22000000000000000000000000-22-222i−2i2i−2i000000−2i2i0000000
χ442-2-222-22-2-2222-22-2-2-22000000000000000000000000-22-22−2i2i−2i2i0000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-44-4-4-444004-4-4000000000000000000004i−4i00000000000000000000000000000
χ4744-44-4-4-444004-4-400000000000000000000−4i4i00000000000000000000000000000
χ4844-44-4-4-44-400-4440000000000000000000000000000000022−22−2222000000000000000
χ4944-44-4-4-44-400-44400000000000000000000000000000000−222222−22000000000000000
χ5044-4-4-444-40-44000-44002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000000000
χ5144-4-4-444-40-44000-4400−2i2−2i22i22i200000000000000002i2−2i20000000000000000000000000
χ524-444-44-4-4-40044-4000000002i2−2i22i2−2i200000000000000−2i22i200000000000000000000000
χ534-444-44-4-4-40044-400000000−2i22i2−2i22i2000000000000002i2−2i200000000000000000000000
χ544-44-4-4-44404-4000-440000000000000000000000000022−22−22220000000000000000000
χ554-44-4-4-44404-4000-4400000000000000000000000000−222222−220000000000000000000
χ564-44-4-4-4440-440004-400000000000000004-40000000000000000000000000000000
χ574-44-4-4-4440-440004-40000000000000000-440000000000000000000000000000000
χ584-4-444-44-4444-44-4-4-44-400000000000000000000000000000000000000000000000
χ594-4-444-44-44-4-4-44-444-4400000000000000000000000000000000000000000000000
χ604-4-444-44-4-4-4-44-44444-400000000000000000000000000000000000000000000000
χ614-4-4-444-44000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ624-4-4-444-44000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ634-4-4-444-440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ644-4-4-444-440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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