Finite Group Databasebeta

← Group #342202

Character table — Group #342202

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822444444244444448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-11-11-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111111-1-1-1-111-1-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-1111111-1-1-11
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-1-111-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1111111-1-1111-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-1-1-1111111-1-1-1-1-1-1-11
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1111111-11
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-1-111-1-111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-11111-1-111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-11111-1-111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-111
χ17222222222-22-2-222-2-2-2000000002222-2-2-2-2000000002200-2-2002000-20000000000000
χ18222222222-22-2-222-2-2-2000000002222-2-2-2-200000000-2-2002200-200020000000000000
χ19222222222-22-2-222-2-2-200000000-2-2-2-222220000000022002200-2000-20000000000000
χ20222222222-22-2-222-2-2-200000000-2-2-2-2222200000000-2-200-2-200200020000000000000
χ2122222222-22-222-2-22-2-22222-2-2-2-2000000000000000000220022000-20-2000000000000
χ2222222222-22-222-2-22-2-22222-2-2-2-2000000000000000000-2-200-2-2000202000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-222220000000000000000002200-2-2000-202000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-22222000000000000000000-2-2002200020-2000000000000
χ252-222-22-2-2-202002-2000i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i2222−2−2−2−22-2002i−2i00000000000000i2−i22−200
χ262-222-22-2-2-202002-2000i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i2222−2−2−2−2-2200−2i2i00000000000000−i2i2−2200
χ272-222-22-2-2-202002-2000i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i−2−2−2−222222-200−2i2i00000000000000i2−i2−2200
χ282-222-22-2-2-202002-2000i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i−2−2−2−22222-22002i−2i00000000000000−i2i22−200
χ292-222-22-2-2-202002-2000−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i−2−2−2−222222-2002i−2i00000000000000−i2i2−2200
χ302-222-22-2-2-202002-2000−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i−2−2−2−22222-2200−2i2i00000000000000i2−i22−200
χ312-222-22-2-2-202002-2000−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i2222−2−2−2−22-200−2i2i00000000000000−i2i22−200
χ322-222-22-2-2-202002-2000−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i2222−2−2−2−2-22002i−2i00000000000000i2−i2−2200
χ332-22-2-2-2222-2-2222-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i0000000002i−2i0002-20000000000
χ342-22-2-2-2222-2-2222-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i000000000−2i2i000-220000000000
χ352-22-2-2-2222-2-2222-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000002i−2i000-220000000000
χ362-22-2-2-2222-2-2222-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000−2i2i0002-20000000000
χ372-2-222-22-20202-200-2002i−2i2i−2i000022−2−22−22−2i2−i2i2−i2i2−i2i2−i2002-2002i−2i00000000i2−i22−2000000
χ382-2-222-22-20202-200-2002i−2i2i−2i000022−2−22−22−2i2−i2i2−i2i2−i2i2−i200-2200−2i2i00000000−i2i2−22000000
χ392-2-222-22-20202-200-2002i−2i2i−2i0000−2−222−22−22−i2i2−i2i2−i2i2−i2i2002-2002i−2i00000000−i2i2−22000000
χ402-2-222-22-20202-200-2002i−2i2i−2i0000−2−222−22−22−i2i2−i2i2−i2i2−i2i200-2200−2i2i00000000i2−i22−2000000
χ412-2-222-22-20202-200-200−2i2i−2i2i000022−2−22−22−2−i2i2−i2i2−i2i2−i2i2002-200−2i2i00000000−i2i22−2000000
χ422-2-222-22-20202-200-200−2i2i−2i2i000022−2−22−22−2−i2i2−i2i2−i2i2−i2i200-22002i−2i00000000i2−i2−22000000
χ432-2-222-22-20202-200-200−2i2i−2i2i0000−2−222−22−22i2−i2i2−i2i2−i2i2−i2002-200−2i2i00000000i2−i2−22000000
χ442-2-222-22-20202-200-200−2i2i−2i2i0000−2−222−22−22i2−i2i2−i2i2−i2i2−i200-22002i−2i00000000−i2i22−2000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-44-4-4-440400-4-4000000000004-44-400000000000000000000000000000000000000
χ47444-44-4-4-440400-4-400000000000-44-4400000000000000000000000000000000000000
χ48444-44-4-4-4-40-4004400000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ49444-44-4-4-4-40-400440000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ5044-44-4-4-44000000000022−22−2222000000002i2−2i2−2i22i2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5144-44-4-4-44000000000022−22−222200000000−2i22i22i2−2i22i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5244-44-4-4-440000000000−222222−22000000002i2−2i2−2i22i22i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5344-44-4-4-440000000000−222222−2200000000−2i22i22i2−2i2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5444-4-4-444-4040-4400-40000004i−4i4i−4i000000000000000000000000000000000000000000
χ5544-4-4-444-4040-4400-4000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5644-4-4-444-40-404-400400000000000000000022−22−222222−22−222200000000000000000000000000
χ5744-4-4-444-40-404-4004000000000000000000−222222−22−222222−2200000000000000000000000000
χ584-444-44-4-440-400-440002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ594-444-44-4-440-400-44000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ604-44-4-4-44444-4-4-44-44-4400000000000000000000000000000000000000000000000000
χ614-44-4-4-444-444-4-4-4444-400000000000000000000000000000000000000000000000000
χ624-44-4-4-444-4-4444-44-4-4400000000000000000000000000000000000000000000000000
χ634-4-444-44-40-40-4400400000000002222−22−22−2222−22220000000000000000000000000000000000
χ644-4-444-44-40-40-440040000000000−22−22222222−2222−220000000000000000000000000000000000
χ654-4-4-444-440000000000000022−22−222222−22−222200002-2-22-222-200000000000000000000000000
χ664-4-4-444-440000000000000022−22−2222−222222−220000-222-22-2-2200000000000000000000000000
χ674-4-4-444-4400000000000000−222222−2222−22−22220000-222-22-2-2200000000000000000000000000
χ684-4-4-444-4400000000000000−222222−22−222222−2200002-2-22-222-200000000000000000000000000

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