Finite Group Databasebeta

← Group #278962

Character table — Group #278962

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444448888888822244444448888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11
χ11111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11
χ12111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111111-1-11-1-11
χ172222222222-2-2-222-2-2-2222200000000-222-222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-222-2-2-2222200000000-2-2-2-2-2-222220000000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000000002222-2-222-2-20000000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000000002-2-2222-2-2220000000000000000000000000000
χ2122222222-2-2222-2-22-2-222-2-22222-2-2-2-2-2002000000220000-2-200000000000000000000
χ2222222222-2-2222-2-22-2-222-2-2-2-2-2-22222-2002000000-2-200002200000000000000000000
χ2322222222-2-2222-2-22-2-2-2-2222222-2-2-2-2200-2000000-2-200002200000000000000000000
χ2422222222-2-2222-2-22-2-2-2-222-2-2-2-22222200-2000000220000-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200000000200-2000000002i2i−2i−2i002i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200000000200-200000000−2i−2i2i2i00−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22200000000-2002000000002i2i−2i−2i00−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22200000000-200200000000−2i−2i2i2i002i2i−2i−2i0000000000000000
χ292-222-2-22-22-20002-20002i−2i2i−2i22−2−222−2−20000002-22i−2ii2−i22−22−2i2−i2i2−i2i2−i20000000000000000
χ302-222-2-22-22-20002-20002i−2i2i−2i22−2−222−2−2000000-22−2i2ii2−i2−22−22i2−i2−i2i2−i2i20000000000000000
χ312-222-2-22-22-20002-20002i−2i2i−2i−2−222−2−2220000002-22i−2i−i2i2−22−22−i2i2−i2i2−i2i20000000000000000
χ322-222-2-22-22-20002-20002i−2i2i−2i−2−222−2−222000000-22−2i2i−i2i22−22−2−i2i2i2−i2i2−i20000000000000000
χ332-222-2-22-22-20002-2000−2i2i−2i2i22−2−222−2−20000002-2−2i2i−i2i22−22−2−i2i2−i2i2−i2i20000000000000000
χ342-222-2-22-22-20002-2000−2i2i−2i2i22−2−222−2−2000000-222i−2i−i2i2−22−22−i2i2i2−i2i2−i20000000000000000
χ352-222-2-22-22-20002-2000−2i2i−2i2i−2−222−2−2220000002-2−2i2ii2−i2−22−22i2−i2i2−i2i2−i20000000000000000
χ362-222-2-22-22-20002-2000−2i2i−2i2i−2−222−2−222000000-222i−2ii2−i22−22−2i2−i2−i2i2−i2i20000000000000000
χ372-222-2-22-2-22000-220002i−2i−2i2i22−2−2−2−22202-202i−2i0000i2−i2i2−i2−i2i2−i2i2−222−20000000000000000
χ382-222-2-22-2-22000-220002i−2i−2i2i22−2−2−2−2220-220−2i2i0000i2−i2−i2i2i2−i2−i2i22−2−220000000000000000
χ392-222-2-22-2-22000-220002i−2i−2i2i−2−22222−2−202-202i−2i0000−i2i2−i2i2i2−i2i2−i22−2−220000000000000000
χ402-222-2-22-2-22000-220002i−2i−2i2i−2−22222−2−20-220−2i2i0000−i2i2i2−i2−i2i2i2−i2−222−20000000000000000
χ412-222-2-22-2-22000-22000−2i2i2i−2i22−2−2−2−22202-20−2i2i0000−i2i2−i2i2i2−i2i2−i2−222−20000000000000000
χ422-222-2-22-2-22000-22000−2i2i2i−2i22−2−2−2−2220-2202i−2i0000−i2i2i2−i2−i2i2i2−i22−2−220000000000000000
χ432-222-2-22-2-22000-22000−2i2i2i−2i−2−22222−2−202-20−2i2i0000i2−i2i2−i2−i2i2−i2i22−2−220000000000000000
χ442-222-2-22-2-22000-22000−2i2i2i−2i−2−22222−2−20-2202i−2i0000i2−i2−i2i2i2−i2−i2i2−222−20000000000000000
χ452-22-2-22-2222-22-2-2-222-200002-22-22-22-2000000000000000000000000002i2i−2i−2i002i−2i0000
χ462-22-2-22-2222-22-2-2-222-200002-22-22-22-200000000000000000000000000−2i−2i2i2i00−2i2i0000
χ472-22-2-22-2222-22-2-2-222-20000-22-22-22-22000000000000000000000000002i2i−2i−2i00−2i2i0000
χ482-22-2-22-2222-22-2-2-222-20000-22-22-22-2200000000000000000000000000−2i−2i2i2i002i−2i0000
χ492-22-2-22-22-2-2-22-2222-2200002-22-2-22-22000000000000000000000022-2-200002-2000000
χ502-22-2-22-22-2-2-22-2222-2200002-22-2-22-220000000000000000000000-2-2220000-22000000
χ512-22-2-22-22-2-2-22-2222-220000-22-222-22-2000000000000000000000022-2-20000-22000000
χ522-22-2-22-22-2-2-22-2222-220000-22-222-22-20000000000000000000000-2-22200002-2000000
χ53444-44-4-4-44-4000-44000000022−22−222222−22−222200000000000000000000000000000000000000
χ54444-44-4-4-44-4000-440000000−222222−22−222222−2200000000000000000000000000000000000000
χ55444-44-4-4-4-440004-4000000022−22−2222−222222−2200000000000000000000000000000000000000
χ56444-44-4-4-4-440004-40000000−222222−2222−22−222200000000000000000000000000000000000000
χ5744-4-4-4-4440044-400-40000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ5844-4-4-4-4440044-400-4000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ5944-4-4-4-44400-4-44004000000000000000000000000000000000000000022−2222−2200000000
χ6044-4-4-4-44400-4-440040000000000000000000000000000000000000000−2222−222200000000
χ614-44-4-44-44444-44-4-4-4-4400000000000000000000000000000000000000000000000000
χ624-44-4-44-44-4-44-4444-44-400000000000000000000000000000000000000000000000000
χ634-4-444-4-44004-4-400400000000000000000000000000000000000000002i2−2i2−2i22i200000000
χ644-4-444-4-44004-4-40040000000000000000000000000000000000000000−2i22i22i2−2i200000000
χ654-4-444-4-4400-44400-40000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ664-4-444-4-4400-44400-4000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ6788-88-88-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8-8-8888-8000000000000000000000000000000000000000000000000000000000000

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