Finite Group Databasebeta

← Group #305635

Character table — Group #305635

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-111-1-111-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ101111111111111111-1-1-1-1111111-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-111-11-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-11111-1
χ172222222222-2-22-2-220000-2-222220022-2-2-2-200-2-2000000000000000000200000000
χ182222222222-2-22-2-220000-2-2222200-2-2222200-2-2000000000000000000-200000000
χ192222222222-2-22-2-220000-2-2-2-2-2-2002222-2-20022000000000000000000-200000000
χ202222222222-2-22-2-220000-2-2-2-2-2-200-2-2-2-2220022000000000000000000200000000
χ2122222222-2-222-222-22222-2-20000-2-2000000220022-2-2000000000000000-20000000
χ2222222222-2-222-222-22222-2-20000-2-2000000-2-200-2-22200000000000000020000000
χ2322222222-2-222-222-2-2-2-2-2-2-20000220000002200-2-222000000000000000-20000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000022000000-2-20022-2-200000000000000020000000
χ252-222-22-2-22222-2-2-2-222-2-22-200002-22-2002-20000000000000000002-200000000000
χ262-222-22-2-22222-2-2-2-222-2-22-200002-2-2200-22000000000000000000-2200000000000
χ272-222-22-2-22222-2-2-2-2-2-2222-20000-222-2002-2000000000000000000-2200000000000
χ282-222-22-2-22222-2-2-2-2-2-2222-20000-22-2200-220000000000000000002-200000000000
χ292-222-22-2-222-2-2-222-20000-220000002-200-22000000002i2i−2i−2i00002i−2i0000000000000
χ302-222-22-2-222-2-2-222-20000-220000002-200-2200000000−2i−2i2i2i0000−2i2i0000000000000
χ312-222-22-2-222-2-2-222-20000-22000000-22002-2000000002i2i−2i−2i0000−2i2i0000000000000
χ322-222-22-2-222-2-2-222-20000-22000000-22002-200000000−2i−2i2i2i00002i−2i0000000000000
χ332-222-22-2-2-2-2222-2-2222-2-2-220000-22000000000000000000000000002i−2i002i−2i00000
χ342-222-22-2-2-2-2222-2-2222-2-2-220000-2200000000000000000000000000−2i2i00−2i2i00000
χ352-222-22-2-2-2-2222-2-22-2-222-2200002-2000000000000000000000000002i−2i00−2i2i00000
χ362-222-22-2-2-2-2222-2-22-2-222-2200002-200000000000000000000000000−2i2i002i−2i00000
χ372-22-22-22-2002-202-202i−2i2i−2i00i2i2−i2−i2000000002-2i2−i22i−2i002−22−222−2−2000000000000i2−i20
χ382-22-22-22-2002-202-202i−2i2i−2i00i2i2−i2−i200000000-22i2−i2−2i2i002−22−2−2−222000000000000−i2i20
χ392-22-22-22-2002-202-202i−2i2i−2i00−i2−i2i2i2000000002-2−i2i22i−2i00−22−22−2−222000000000000−i2i20
χ402-22-22-22-2002-202-202i−2i2i−2i00−i2−i2i2i200000000-22−i2i2−2i2i00−22−2222−2−2000000000000i2−i20
χ412-22-22-22-2002-202-20−2i2i−2i2i00i2i2−i2−i2000000002-2i2−i2−2i2i00−22−22−2−222000000000000i2−i20
χ422-22-22-22-2002-202-20−2i2i−2i2i00i2i2−i2−i200000000-22i2−i22i−2i00−22−2222−2−2000000000000−i2i20
χ432-22-22-22-2002-202-20−2i2i−2i2i00−i2−i2i2i2000000002-2−i2i2−2i2i002−22−222−2−2000000000000−i2i20
χ442-22-22-22-2002-202-20−2i2i−2i2i00−i2−i2i2i200000000-22−i2i22i−2i002−22−2−2−222000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-44004-40-4404i−4i−4i4i000000000000000000000000000000000000000000000
χ47444-4-4-4-44004-40-440−4i4i4i−4i000000000000000000000000000000000000000000000
χ48444-4-4-4-4400-4404-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ49444-4-4-4-4400-4404-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-444-4-4-44-400400-4000000000000004-4000000000000000000000000000000000
χ5144-444-4-4-44-400400-400000000000000-44000000000000000000000000000000000
χ5244-444-4-4-4-4400-4004000000000000000000000000000000000000000000002i2−2i2000
χ5344-444-4-4-4-4400-400400000000000000000000000000000000000000000000−2i22i2000
χ5444-4-4-444-4000000000000002i2−2i22i2−2i20000000000000022−2200002i−2i2i−2i000000000000000
χ5544-4-4-444-4000000000000002i2−2i22i2−2i200000000000000−22220000−2i2i−2i2i000000000000000
χ5644-4-4-444-400000000000000−2i22i2−2i22i20000000000000022−220000−2i2i−2i2i000000000000000
χ5744-4-4-444-400000000000000−2i22i2−2i22i200000000000000−222200002i−2i2i−2i000000000000000
χ584-444-44-4-4-4-4-4-4444400004-40000000000000000000000000000000000000000000
χ594-44-44-44-400-440-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ604-44-44-44-400-440-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ614-4-44-4-4444-400-40040000004-4-44000000000000000000000000000000000000000
χ624-4-44-4-4444-400-4004000000-444-4000000000000000000000000000000000000000
χ634-4-44-4-444-4400400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ644-4-44-4-444-4400400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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