Finite Group Databasebeta

← Group #329072

Character table — Group #329072

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111111-1-1-1-1111-1-1-1-1111-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-1111-1-1-1-1111-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ1111111111111111-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-11
χ1211111111111111-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1-11
χ1411111111111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222-2-2-222222-2-2-2-222-222-20000-2-2-2-20000220000000000000000000000
χ1822222222222-2-2-222222-2-2-2-222-2-2-2-2000022220000-2-20000000000000000000000
χ1922222222222-2-2-2-2-2-2-22-2-222-2-2-22220000-2-2220000-2-20000000000000000000000
χ2022222222222-2-2-2-2-2-2-22-2-222-2-2-2-2-22000022-2-20000220000000000000000000000
χ2122222222-2-2-22222222-22-222-2-2-200-222220000-2-2-2-2000000000000000000000000
χ2222222222-2-2-22222222-22-222-2-2-200-2-2-2-2-200002222000000000000000000000000
χ2322222222-2-2-2222-2-2-2-2-22-2-2-222-200222-2-20000-2-222000000000000000000000000
χ2422222222-2-2-2222-2-2-2-2-22-2-2-222-2002-2-222000022-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-22-2-2-2-2200200000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-22222-2-22-2-2-2-220020000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000-222-20000000000
χ2922-2-2-2-22222-200022-2-2-200002-2000000002i−2i2i−2i00000022−2−222−2−20000i2−i2i2−i2000000
χ3022-2-2-2-22222-200022-2-2-200002-2000000002i−2i2i−2i000000−2−222−2−2220000−i2i2−i2i2000000
χ3122-2-2-2-22222-200022-2-2-200002-200000000−2i2i−2i2i00000022−2−222−2−20000−i2i2−i2i2000000
χ3222-2-2-2-22222-200022-2-2-200002-200000000−2i2i−2i2i000000−2−222−2−2220000i2−i2i2−i2000000
χ3322-2-2-2-22222-2000-2-222-20000-22000000002i−2i−2i2i00000022−2−2−2−2220000i2−i2−i2i2000000
χ3422-2-2-2-22222-2000-2-222-20000-22000000002i−2i−2i2i000000−2−22222−2−20000−i2i2i2−i2000000
χ3522-2-2-2-22222-2000-2-222-20000-2200000000−2i2i2i−2i00000022−2−2−2−2220000−i2i2i2−i2000000
χ3622-2-2-2-22222-2000-2-222-20000-2200000000−2i2i2i−2i000000−2−22222−2−20000i2−i2−i2i2000000
χ372-2-2-2222-200022-22-22-20-202-2000000000000002-22-200i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i200
χ382-2-2-2222-200022-22-22-20-202-2000000000000002-22-200−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i200
χ392-2-2-2222-200022-22-22-20-202-200000000000000-22-2200i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i200
χ402-2-2-2222-200022-22-22-20-202-200000000000000-22-2200−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i200
χ412-2-2-2222-200022-2-22-220-20-22000000000000002-2-2200i2−i2i2−i2−i2i2−i2i200000000i2−i2−i2i200
χ422-2-2-2222-200022-2-22-220-20-22000000000000002-2-2200−i2i2−i2i2i2−i2i2−i200000000−i2i2i2−i200
χ432-2-2-2222-200022-2-22-220-20-2200000000000000-222-200i2−i2i2−i2−i2i2−i2i200000000−i2i2i2−i200
χ442-2-2-2222-200022-2-22-220-20-2200000000000000-222-200−i2i2−i2i2i2−i2i2−i200000000i2−i2−i2i200
χ45444-44-4-4-44-440000000-400000004-40000000000000000000000000000000000000
χ46444-44-4-4-44-440000000-40000000-440000000000000000000000000000000000000
χ47444-44-4-4-4-44-40000000400000000000000000000004i−4i0000000000000000000000
χ48444-44-4-4-4-44-4000000040000000000000000000000−4i4i0000000000000000000000
χ4944-44-44-4-44-4-44-4400004-440000-4000000000000000000000000000000000000000
χ5044-44-44-4-44-4-4-44-4000044-400004000000000000000000000000000000000000000
χ5144-44-44-4-4-4444-440000-4-4-400004000000000000000000000000000000000000000
χ5244-44-44-4-4-444-44-40000-4440000-4000000000000000000000000000000000000000
χ5344-4-4-4-444-4-4400044-4-440000-440000000000000000000000000000000000000000
χ5444-4-4-4-444-4-44000-4-444400004-40000000000000000000000000000000000000000
χ554-444-4-44-40000004-4-4400000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ564-444-4-44-40000004-4-440000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ574-444-4-44-4000000-444-400000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ584-444-4-44-4000000-444-40000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ594-44-4-44-440004-4-40000040000000004-40000000000000000000000000000000000
χ604-44-4-44-440004-4-4000004000000000-440000000000000000000000000000000000
χ614-44-4-44-44000-44400000-4000000000004i−4i00000000000000000000000000000000
χ624-44-4-44-44000-44400000-400000000000−4i4i00000000000000000000000000000000
χ634-4-4-4444-4000-4-444-44-4040-44000000000000000000000000000000000000000000
χ644-4-4-4444-4000-4-44-44-440404-4000000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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