Finite Group Databasebeta

← Group #333671

Character table — Group #333671

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222222444444888888888888888822448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-11111-1-11-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ61111111111111111111111-1-1-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1
χ9111111111111111111-1-1-1-1111111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1111-11
χ17222222222-2-22-2-222-2-20000222200002222-2-20000-2-200000000000000-200000000
χ18222222222-2-22-2-222-2-2000022220000-2-2-2-2220000-2-200000000000000200000000
χ19222222222-2-22-2-222-2-20000-2-2-2-2000022-2-22200002200000000000000-200000000
χ20222222222-2-22-2-222-2-20000-2-2-2-20000-2-222-2-200002200000000000000200000000
χ2122222222-222-222-2-2-2-2222200002222000000-2-2-2-200000000000000000-20000000
χ2222222222-222-222-2-2-2-222220000-2-2-2-200000022-2-20000000000000000020000000
χ2322222222-222-222-2-2-2-2-2-2-2-2000022-2-2000000-2-2220000000000000000020000000
χ2422222222-222-222-2-2-2-2-2-2-2-20000-2-222000000222200000000000000000-20000000
χ2522-2-2-222-202-202-2000022-2-2i2i2−i2−i22-22-20000000000i2−i20000i2i2−i2−i2i2i2−i2−i20000i2−i200000
χ2622-2-2-222-202-202-2000022-2-2i2i2−i2−i2-22-220000000000i2−i20000−i2−i2i2i2i2i2−i2−i20000−i2i200000
χ2722-2-2-222-202-202-2000022-2-2−i2−i2i2i22-22-20000000000−i2i20000−i2−i2i2i2−i2−i2i2i20000−i2i200000
χ2822-2-2-222-202-202-2000022-2-2−i2−i2i2i2-22-220000000000−i2i20000i2i2−i2−i2−i2−i2i2i20000i2−i200000
χ2922-2-2-222-202-202-20000-2-222i2i2−i2−i22-2-220000000000i2−i20000i2i2−i2−i2−i2−i2i2i20000−i2i200000
χ3022-2-2-222-202-202-20000-2-222i2i2−i2−i2-222-20000000000i2−i20000−i2−i2i2i2−i2−i2i2i20000i2−i200000
χ3122-2-2-222-202-202-20000-2-222−i2−i2i2i22-2-220000000000−i2i20000−i2−i2i2i2i2i2−i2−i20000i2−i200000
χ3222-2-2-222-202-202-20000-2-222−i2−i2i2i2-222-20000000000−i2i20000i2i2−i2−i2i2i2−i2−i20000−i2i200000
χ332-22-2-22-22-2-2-2222-22-2200000000000000000000000022-2-22-22-200002-2000000000
χ342-22-2-22-22-2-2-2222-22-2200000000000000000000000022-2-2-22-220000-22000000000
χ352-22-2-22-22-2-2-2222-22-22000000000000000000000000-2-2222-22-20000-22000000000
χ362-22-2-22-22-2-2-2222-22-22000000000000000000000000-2-222-22-2200002-2000000000
χ372-2-22-2-222-200-20022002−22−22-22-200002-22-200002−2002−22−200002−22−20000002−2000
χ382-2-22-2-222-200-20022002−22−22-22-20000-22-2200002−200−22−2200002−22−2000000−22000
χ392-2-22-2-222-200-20022002−22−2-22-2200002-2-2200002−200−22−220000−22−220000002−2000
χ402-2-22-2-222-200-20022002−22−2-22-220000-222-200002−2002−22−20000−22−22000000−22000
χ412-2-22-2-222-200-2002200−22−222-22-200002-22-20000−2200−22−220000−22−22000000−22000
χ422-2-22-2-222-200-2002200−22−222-22-20000-22-220000−22002−22−20000−22−220000002−2000
χ432-2-22-2-222-200-2002200−22−22-22-2200002-2-220000−22002−22−200002−22−2000000−22000
χ442-2-22-2-222-200-2002200−22−22-22-220000-222-20000−2200−22−2200002−22−20000002−2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-4-44-4-44400-400-440000000000000000000000000022−22−22220000000000000000000
χ4744-4-44-4-44400-400-4400000000000000000000000000−222222−220000000000000000000
χ4844-4-44-4-44-4004004-40000000000000000004-400000000000000000000000000000
χ4944-4-44-4-44-4004004-4000000000000000000-4400000000000000000000000000000
χ5044-4-4-444-40-440-44000000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5144-4-4-444-40-440-4400000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ524-44-44-44-4000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ534-44-44-44-4000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ544-44-44-44-40000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ554-44-44-44-40000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ564-44-4-44-44444-4-4-44-4-4400000000000000000000000000000000000000000000000
χ574-44-4-44-444-4-4-4444-44-400000000000000000000000000000000000000000000000
χ584-44-4-44-44-4444-4-4-444-400000000000000000000000000000000000000000000000
χ594-4-4444-4-404-40-4400000000000000000000004i−4i000000000000000000000000000
χ604-4-4444-4-404-40-440000000000000000000000−4i4i000000000000000000000000000
χ614-4-4444-4-40-4404-4000000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-4444-4-40-4404-400000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-44-4-444400400-4-40022−2222−220000000000000000−22220000000000000000000000000
χ644-4-44-4-444400400-4-400−2222−2222000000000000000022−220000000000000000000000000
χ658888-8-8-8-8000000000000000000000000000000000000000000000000000000000

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