Finite Group Databasebeta

← Group #324504

Character table — Group #324504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444448888888822444444448888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-11
χ11111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-11
χ12111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-11-1-11
χ1722222222222-2-2-2-22-2-222-2-22222-2-2-2-2002-200000022-2-2000000000000000000000000
χ1822222222222-2-2-2-22-2-222-2-2-2-2-2-22222002-2000000-2-222000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2222222-2-2-2-200-22000000-2-222000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-222-2-2-2-2222200-2200000022-2-2000000000000000000000000
χ2122222222-2-2-22222-2-2-222220000000022-2-222-2-2-2-20000000000000000000000000000
χ2222222222-2-2-22222-2-2-2222200000000-2-2-2-2-2-222220000000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2000000002222-2-222-2-20000000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-200000000-2-22222-2-2220000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-20000000000-220000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-20000000000-22000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-22200000000002-20000000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-22200000000002-2000000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ292-2-222-2-2222-222-2-2-22-200002i2i−2i−2i2i2i−2i−2i0000000000000000002i2i−2i−2i00000000002-20000
χ302-2-222-2-2222-222-2-2-22-200002i2i−2i−2i2i2i−2i−2i000000000000000000−2i−2i2i2i0000000000-220000
χ312-2-222-2-2222-222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i0000000000000000002i2i−2i−2i0000000000-220000
χ322-2-222-2-2222-222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i000000000000000000−2i−2i2i2i00000000002-20000
χ332-2-222-2-2222-2-2-222-2-2200002i2i−2i−2i−2i−2i2i2i000000000000002i2i−2i−2i0000000000002-2000000
χ342-2-222-2-2222-2-2-222-2-2200002i2i−2i−2i−2i−2i2i2i00000000000000−2i−2i2i2i000000000000-22000000
χ352-2-222-2-2222-2-2-222-2-220000−2i−2i2i2i2i2i−2i−2i000000000000002i2i−2i−2i000000000000-22000000
χ362-2-222-2-2222-2-2-222-2-220000−2i−2i2i2i2i2i−2i−2i00000000000000−2i−2i2i2i0000000000002-2000000
χ372-2-22-222-20002-22-20002-22-2i2−i2i2−i2i2−i2i2−i20000002i−2i2i−2ii2−i2i2−i2000000002−22−22−22−200000000
χ382-2-22-222-20002-22-20002-22-2i2−i2i2−i2i2−i2i2−i2000000−2i2i−2i2ii2−i2i2−i200000000−22−22−22−2200000000
χ392-2-22-222-20002-22-20002-22-2−i2i2−i2i2−i2i2−i2i20000002i−2i2i−2i−i2i2−i2i200000000−22−22−22−2200000000
χ402-2-22-222-20002-22-20002-22-2−i2i2−i2i2−i2i2−i2i2000000−2i2i−2i2i−i2i2−i2i2000000002−22−22−22−200000000
χ412-2-22-222-20002-22-2000-22-22i2−i2i2−i2i2−i2i2−i20000002i−2i−2i2i−i2i2−i2i200000000−22−222−22−200000000
χ422-2-22-222-20002-22-2000-22-22i2−i2i2−i2i2−i2i2−i2000000−2i2i2i−2i−i2i2−i2i2000000002−22−2−22−2200000000
χ432-2-22-222-20002-22-2000-22-22−i2i2−i2i2−i2i2−i2i20000002i−2i−2i2ii2−i2i2−i2000000002−22−2−22−2200000000
χ442-2-22-222-20002-22-2000-22-22−i2i2−i2i2−i2i2−i2i2000000−2i2i2i−2ii2−i2i2−i200000000−22−222−22−200000000
χ452-2-22-222-2000-22-220002-2-22i2−i2i2−i2−i2i2−i2i22-2002-20000i2−i2−i2i200000000i2−i2−i2i2i2−i2−i2i200000000
χ462-2-22-222-2000-22-220002-2-22i2−i2i2−i2−i2i2−i2i2-2200-220000i2−i2−i2i200000000−i2i2i2−i2−i2i2i2−i200000000
χ472-2-22-222-2000-22-220002-2-22−i2i2−i2i2i2−i2i2−i22-2002-20000−i2i2i2−i200000000−i2i2i2−i2−i2i2i2−i200000000
χ482-2-22-222-2000-22-220002-2-22−i2i2−i2i2i2−i2i2−i2-2200-220000−i2i2i2−i200000000i2−i2−i2i2i2−i2−i2i200000000
χ492-2-22-222-2000-22-22000-222-2i2−i2i2−i2−i2i2−i2i22-200-220000−i2i2i2−i200000000i2−i2−i2i2−i2i2i2−i200000000
χ502-2-22-222-2000-22-22000-222-2i2−i2i2−i2−i2i2−i2i2-22002-20000−i2i2i2−i200000000−i2i2i2−i2i2−i2−i2i200000000
χ512-2-22-222-2000-22-22000-222-2−i2i2−i2i2i2−i2i2−i22-200-220000i2−i2−i2i200000000−i2i2i2−i2i2−i2−i2i200000000
χ522-2-22-222-2000-22-22000-222-2−i2i2−i2i2i2−i2i2−i2-22002-20000i2−i2−i2i200000000i2−i2−i2i2−i2i2i2−i200000000
χ534444-4-4-4-40004-4-44000000022−22−222222−22−222200000000000000000000000000000000000000
χ544444-4-4-4-40004-4-440000000−222222−22−222222−2200000000000000000000000000000000000000
χ554444-4-4-4-4000-444-4000000022−22−2222−222222−2200000000000000000000000000000000000000
χ564444-4-4-4-4000-444-40000000−222222−2222−22−222200000000000000000000000000000000000000
χ5744-4-4-44-444-440000-4000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ5844-4-4-44-444-440000-400000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ5944-4-4-44-44-44-400004000000000000000000000000000022−2222−2200000000000000000000
χ6044-4-4-44-44-44-4000040000000000000000000000000000−2222−222200000000000000000000
χ614-44-4-4-4444-4-4000040000000000000000000000000000000022−22−22220000000000000000
χ624-44-4-4-4444-4-40000400000000000000000000000000000000−222222−220000000000000000
χ634-44-4-4-444-4440000-400000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ644-44-4-4-444-4440000-40000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ654-4-444-4-44-4-4444-4-44-4400000000000000000000000000000000000000000000000000
χ664-4-444-4-44-4-44-4-44444-400000000000000000000000000000000000000000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-88-888-8-8000000000000000000000000000000000000000000000000000000000000

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