Finite Group Databasebeta

← Group #279432

Character table — Group #279432

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-11
χ1111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-11
χ1211111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1111-1
χ1311111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11
χ1411111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-11
χ17222222222-2-2222222-22-222-2-2-2-222-2-222-2-2-2000000000000000000000000000000
χ18222222222-2-2222222-22-222-2-2-2-2-2-222-2-222-2000000000000000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-222-2-222-2-2-2-2222000000000000000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-222-2-2-2-22222-2-22000000000000000000000000000000
χ2122222222-2222222-2-22-22-2-222-2-200000000-2000000002222-2-2-2-200000000000000
χ2222222222-2222222-2-22-22-2-222-2-200000000-200000000-2-2-2-2222200000000000000
χ2322222222-222-2-2-2-2-2-22-2222-2-2-2-20000000020000000022-2-2-2-22200000000000000
χ2422222222-222-2-2-2-2-2-22-2222-2-2-2-200000000200000000-2-22222-2-200000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-2220000000020000000000000000000000002i−2i2i−2i00
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-222000000002000000000000000000000000−2i2i−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-20000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-2000000000000000000000000−2i2i2i−2i00
χ2922-22-2-22-222200002-2-2-2-200002-22-22-20000022-2-20000000000002-2000000000000
χ3022-22-2-22-222200002-2-2-2-200002-22-22-200000-2-222000000000000-22000000000000
χ3122-22-2-22-222200002-2-2-2-200002-2-22-220000022-2-2000000000000-22000000000000
χ3222-22-2-22-222200002-2-2-2-200002-2-22-2200000-2-2220000000000002-2000000000000
χ3322-22-2-22-22-2-200002-22-220000-222-2-220000000002i2i−2i−2i00000000002i−2i0000000000
χ3422-22-2-22-22-2-200002-22-220000-222-2-22000000000−2i−2i2i2i0000000000−2i2i0000000000
χ3522-22-2-22-22-2-200002-22-220000-22-222-20000000002i2i−2i−2i0000000000−2i2i0000000000
χ3622-22-2-22-22-2-200002-22-220000-22-222-2000000000−2i−2i2i2i00000000002i−2i0000000000
χ372-2-2222-2-202-222-2-200-202002-200000000000i2−i2i2−i2i2−i2i2−i200002-22-20000i2−i2i2−i2000000
χ382-2-2222-2-202-222-2-200-202002-200000000000i2−i2i2−i2i2−i2i2−i20000-22-220000−i2i2−i2i2000000
χ392-2-2222-2-202-222-2-200-202002-200000000000−i2i2−i2i2−i2i2−i2i200002-22-20000−i2i2−i2i2000000
χ402-2-2222-2-202-222-2-200-202002-200000000000−i2i2−i2i2−i2i2−i2i20000-22-220000i2−i2i2−i2000000
χ412-2-2222-2-202-2-2-22200-20200-2200000000000i2−i2i2−i2−i2i2−i2i200002-2-220000i2−i2−i2i2000000
χ422-2-2222-2-202-2-2-22200-20200-2200000000000i2−i2i2−i2−i2i2−i2i20000-222-20000−i2i2i2−i2000000
χ432-2-2222-2-202-2-2-22200-20200-2200000000000−i2i2−i2i2i2−i2i2−i200002-2-220000−i2i2i2−i2000000
χ442-2-2222-2-202-2-2-22200-20200-2200000000000−i2i2−i2i2i2−i2i2−i20000-222-20000i2−i2−i2i2000000
χ45444-44-4-4-44004-44-4-4-40404-40000000000000000000000000000000000000000000
χ46444-44-4-4-4400-44-44-4-4040-440000000000000000000000000000000000000000000
χ47444-44-4-4-4-4004-44-4440-40-440000000000000000000000000000000000000000000
χ48444-44-4-4-4-400-44-44440-404-40000000000000000000000000000000000000000000
χ4944-44-4-44-4-4440000-44-44-40000-44000000000000000000000000000000000000000
χ5044-44-4-44-4-4-4-40000-4444400004-4000000000000000000000000000000000000000
χ5144-4-4-44-444000000-440-4000000000004i−4i000000000000000000000000000000000
χ5244-4-4-44-444000000-440-400000000000−4i4i000000000000000000000000000000000
χ5344-4-4-44-44-40000004-40400000000000004-40000000000000000000000000000000
χ5444-4-4-44-44-40000004-4040000000000000-440000000000000000000000000000000
χ554-444-4-4-4404-400000040-40000000000000002i2−2i2−2i22i200000000000000000000000000
χ564-444-4-4-4404-400000040-4000000000000000−2i22i22i2−2i200000000000000000000000000
χ574-444-4-4-440-44000000-404000000000000000000022−22−22220000000000000000000000
χ584-444-4-4-440-44000000-4040000000000000000000−222222−220000000000000000000000
χ594-4-4444-4-40-4444-4-40040-400-4400000000000000000000000000000000000000000
χ604-4-4444-4-40-44-4-4440040-4004-400000000000000000000000000000000000000000
χ614-4-4-44-4440004-4-44000000000000000000000000000022−2222−22000000000000000000
χ624-4-4-44-4440004-4-440000000000000000000000000000−2222−2222000000000000000000
χ634-4-4-44-444000-444-4000000000000000000000000000022−22−2222000000000000000000
χ644-4-4-44-444000-444-40000000000000000000000000000−222222−22000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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