Finite Group Databasebeta

← Group #262436

Character table — Group #262436

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442222222244444488888888222444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11111-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1
χ91111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1111-1-111-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1111-1-111-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1111-11-1-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1-11-1-111-111-1-111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111-1111-1-11-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-11-11111-1-1-11111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-111-1-1-111-1-1-1-111
χ1722222222222-2-2-22-222-2-2-2-2000022002-2220000000000-200000000-200000000
χ1822222222222-2-2-22-222-2-2-2-20000-2-2002-2-2-20000000000200000000200000000
χ1922222222222-2-2-22-2-2-222-2-200002200-22-2-20000000000200000000-200000000
χ2022222222222-2-2-22-2-2-222-2-20000-2-200-22220000000000-200000000200000000
χ2122222222-2-2-2222-222222-2-200000022-2-2002200000000000-2-20000000000000
χ2222222222-2-2-2222-222222-2-2000000-2-2-2-200-2-200000000000220000000000000
χ2322222222-2-2-2222-22-2-2-2-2-2-2000000222200-2-200000000000-220000000000000
χ2422222222-2-2-2222-22-2-2-2-2-2-2000000-2-2220022000000000002-20000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222-2-20000-22000000000000000002-200000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2220000-2200000000000000000-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-200002-200000000000000000-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-22200002-2000000000000000002-200000000000
χ292-2-222-2-2222-222-2-2-200002-22-22-2000000000000002i2i−2i−2i00000002i−2i000000000
χ302-2-222-2-2222-222-2-2-200002-22-22-200000000000000−2i−2i2i2i0000000−2i2i000000000
χ312-2-222-2-2222-222-2-2-200002-2-22-22000000000000002i2i−2i−2i0000000−2i2i000000000
χ322-2-222-2-2222-222-2-2-200002-2-22-2200000000000000−2i−2i2i2i00000002i−2i000000000
χ332-2-222-2-22-2-22-2-222200002-22-2-22000000000022-2-2000002-2000000000000000
χ342-2-222-2-22-2-22-2-222200002-22-2-220000000000-2-22200000-22000000000000000
χ352-2-222-2-22-2-22-2-222200002-2-222-2000000000022-2-200000-22000000000000000
χ362-2-222-2-22-2-22-2-222200002-2-222-20000000000-2-222000002-2000000000000000
χ372-2-2-2-22220002-2-2022-22-2000000002-200002-22−22−22−22−2000000000000002−22−2
χ382-2-2-2-22220002-2-2022-22-2000000002-200002-2−22−22−22−2200000000000000−22−22
χ392-2-2-2-22220002-2-2022-22-200000000-220000-222−22−22−22−200000000000000−22−22
χ402-2-2-2-22220002-2-2022-22-200000000-220000-22−22−22−22−22000000000000002−22−2
χ412-2-2-2-22220002-2-202-22-22000000002-20000-222−22−2−22−22000000000000002−2−22
χ422-2-2-2-22220002-2-202-22-22000000002-20000-22−22−222−22−200000000000000−222−2
χ432-2-2-2-22220002-2-202-22-2200000000-2200002-22−22−2−22−2200000000000000−222−2
χ442-2-2-2-22220002-2-202-22-2200000000-2200002-2−22−222−22−2000000000000002−2−22
χ45444-4-4-4-440004-440-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ46444-4-4-4-440004-440-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ47444-4-4-4-44000-44-4040000000000000000000022−22−22220000000000000000000000
χ48444-4-4-4-44000-44-40400000000000000000000−222222−220000000000000000000000
χ4944-44-44-4-44-44000-4000000000000000000000000000000000000000002i2−2i20000
χ5044-44-44-4-44-44000-400000000000000000000000000000000000000000−2i22i20000
χ5144-44-44-4-4-44-4000400000000000000000000000000000000000000022−22000000
χ5244-44-44-4-4-44-40004000000000000000000000000000000000000000−2222000000
χ534-444-4-44-44-4-40004000000000004-40000000000000000000000000000000000
χ544-444-4-44-44-4-4000400000000000-440000000000000000000000000000000000
χ554-444-4-44-4-444000-4000000000000000004i−4i0000000000000000000000000000
χ564-444-4-44-4-444000-400000000000000000−4i4i0000000000000000000000000000
χ574-4-444-4-4444-4-4-44-440000-440000000000000000000000000000000000000000
χ584-4-444-4-44-4-4444-44-40000-440000000000000000000000000000000000000000
χ594-4-4-4-4444000-4440-44-4-44000000000000000000000000000000000000000000
χ604-4-4-4-4444000-4440-4-444-4000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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