Finite Group Databasebeta

← Group #311728

Character table — Group #311728

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-11-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-11-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-11111-1-11-1-111-1-1-1-1-11
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-1-11111111-1
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-11-1
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-11111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1111-1-1-1-111-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111-1-1-1-111-1-1-111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-11-1-11-1-11111-1-11-1
χ17222222222-222-2-2-22-2-22222-2-2-2-2000000000000000022002200-200-200000000000000
χ18222222222-222-2-2-22-2-22222-2-2-2-20000000000000000-2-200-2-200200200000000000000
χ19222222222-222-2-2-22-2-2-2-2-2-2222200000000000000002200-2-200200-200000000000000
χ20222222222-222-2-2-22-2-2-2-2-2-222220000000000000000-2-2002200-200200000000000000
χ2122222222-22-2-2222-2-2-2000000002222-2-2-2-200000000002200-2-20000-20020000000000
χ2222222222-22-2-2222-2-2-2000000002222-2-2-2-20000000000-2-200220000200-20000000000
χ2322222222-22-2-2222-2-2-200000000-2-2-2-2222200000000002200-2-20000200-20000000000
χ2422222222-22-2-2222-2-2-200000000-2-2-2-222220000000000-2-200220000-20020000000000
χ252-222-2-22-222-2-2-22-22-222i2i−2i−2i2i2i−2i−2i00000000000000000000000002-2002i−2i00000000000
χ262-222-2-22-222-2-2-22-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000-2200−2i2i00000000000
χ272-222-2-22-222-2-2-22-22-22−2i−2i2i2i−2i−2i2i2i00000000000000000000000002-200−2i2i00000000000
χ282-222-2-22-222-2-2-22-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000-22002i−2i00000000000
χ292-222-2-22-22-2-2-22-2222-22i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i002i−2i0000000000002-20000
χ302-222-2-22-22-2-2-22-2222-22i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i00−2i2i000000000000-220000
χ312-222-2-22-22-2-2-22-2222-2−2i−2i2i2i2i2i−2i−2i0000000000000000002i−2i002i−2i000000000000-220000
χ322-222-2-22-22-2-2-22-2222-2−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i00−2i2i0000000000002-20000
χ332-222-2-22-2-2-2222-22-2-2200000000000000002222-2-2-2-2002i−2i00−2i2i000000000000002i−2i00
χ342-222-2-22-2-2-2222-22-2-2200000000000000002222-2-2-2-200−2i2i002i−2i00000000000000−2i2i00
χ352-222-2-22-2-2-2222-22-2-220000000000000000-2-2-2-22222002i−2i00−2i2i00000000000000−2i2i00
χ362-222-2-22-2-2-2222-22-2-220000000000000000-2-2-2-2222200−2i2i002i−2i000000000000002i−2i00
χ372-2-222-2-22202-2000-2002i−2i2i−2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i22-2002i−2i0000000000i2−i22−2000000
χ382-2-222-2-22202-2000-2002i−2i2i−2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2-2200−2i2i0000000000−i2i2−22000000
χ392-2-222-2-22202-2000-2002i−2i2i−2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i22-2002i−2i0000000000−i2i2−22000000
χ402-2-222-2-22202-2000-2002i−2i2i−2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i2-2200−2i2i0000000000i2−i22−2000000
χ412-2-222-2-22202-2000-200−2i2i−2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i22-200−2i2i0000000000−i2i22−2000000
χ422-2-222-2-22202-2000-200−2i2i−2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2-22002i−2i0000000000i2−i2−22000000
χ432-2-222-2-22202-2000-200−2i2i−2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i22-200−2i2i0000000000i2−i2−22000000
χ442-2-222-2-22202-2000-200−2i2i−2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i2-22002i−2i0000000000−i2i22−2000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-44-4-4-40000000000000022−2222−22000022−2222−222-22-22-22-200000000000000000000000000
χ47444-44-4-4-40000000000000022−2222−220000−2222−2222-22-22-22-2200000000000000000000000000
χ48444-44-4-4-400000000000000−2222−2222000022−2222−22-22-22-22-2200000000000000000000000000
χ49444-44-4-4-400000000000000−2222−22220000−2222−22222-22-22-22-200000000000000000000000000
χ5044-44-44-4-440-44000-4004-4-440000000000000000000000000000000000000000000000
χ5144-44-44-4-440-44000-400-444-40000000000000000000000000000000000000000000000
χ5244-44-44-4-4-404-400040000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ5344-44-44-4-4-404-40004000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ5444-4-4-4-4440400-4-44000000000004i−4i4i−4i00000000000000000000000000000000000000
χ5544-4-4-4-4440400-4-4400000000000−4i4i−4i4i00000000000000000000000000000000000000
χ5644-4-4-4-4440-40044-400000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000
χ5744-4-4-4-4440-40044-40000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000
χ584-444-4-44-4-4444-44-4-44-400000000000000000000000000000000000000000000000000
χ594-44-4-44-44000000000000002i2−2i2−2i22i22i2−2i2−2i22i200002-22-2-22-2200000000000000000000000000
χ604-44-4-44-44000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000-22-222-22-200000000000000000000000000
χ614-44-4-44-4400000000000000−2i22i22i2−2i22i2−2i2−2i22i20000-22-222-22-200000000000000000000000000
χ624-44-4-44-4400000000000000−2i22i22i2−2i2−2i22i22i2−2i200002-22-2-22-2200000000000000000000000000
χ634-4-444-4-44-40-44000400000000002222−22−22−22−2222220000000000000000000000000000000000
χ644-4-444-4-44-40-4400040000000000−22−2222222222−22−220000000000000000000000000000000000
χ654-4-4-4444-404004-4-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ664-4-4-4444-404004-4-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000
χ674-4-4-4444-40-400-4440000000000000004-4-440000000000000000000000000000000000
χ684-4-4-4444-40-400-444000000000000000-444-40000000000000000000000000000000000

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