Finite Group Databasebeta

← Group #255149

Character table — Group #255149

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-1-1
χ31111111111111111111111111111-1-11111-1-11111111111111-1-1-11-1-11-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-111111111-11-1-1-11-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11-1-11-111111111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-11-11-1-111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-111-111-1-1-1-111
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-11-111-111-1-11111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-111-11-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11-111-111-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11111-1-1-1-11111111-1-1-1-1-111-1-111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-11-111-11111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2000022000022-20000000000000-2000-20000000000
χ18222222222222222222-2-2-2-2-2-20000-2-20000-2-2-20000000000000200020000000000
χ19222222222222-2-2-2-2-2-222-2-2-2-20000220000-2-2200000000000002000-20000000000
χ20222222222222-2-2-2-2-2-222-2-2-2-20000-2-200002220000000000000-200020000000000
χ2122222222-2-2-2-22222-2-2222-2-22000000000000-222-2-200000000000-2002000000000
χ2222222222-2-2-2-22222-2-2222-2-22000000000000-2-2-22200000000000200-2000000000
χ2322222222-2-2-2-22222-2-2-2-2-222-2000000000000200000000000020-20200-200000000
χ2422222222-2-2-2-22222-2-2-2-2-222-20000000000002000000000000-2020-200200000000
χ2522222222-2-2-2-2-2-2-2-22222-222-2000000000000-200000000000020-20-200200000000
χ2622222222-2-2-2-2-2-2-2-22222-222-2000000000000-2000000000000-2020200-200000000
χ2722222222-2-2-2-2-2-2-2-222-2-22-2-22000000000000222-2-200000000000200-2000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22-2-220000000000002-2-22200000000000-2002000000000
χ292-222-22-2-2-2-22222-2-22-200000000002-200002-200000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i2
χ302-222-22-2-2-2-22222-2-22-200000000002-200002-200000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i2
χ312-222-22-2-2-2-22222-2-22-20000000000-220000-2200000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i2
χ322-222-22-2-2-2-22222-2-22-20000000000-220000-2200000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i2
χ332-222-22-2-2-2-222-2-222-2200000000002-20000-2200000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i2
χ342-222-22-2-2-2-222-2-222-2200000000002-20000-2200000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i2
χ352-222-22-2-2-2-222-2-222-220000000000-2200002-200000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i2
χ362-222-22-2-2-2-222-2-222-220000000000-2200002-200000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i2
χ372-22-2-2-2222-22-20000000022-2-20000002i2i−2i−2i0002-22-200002i−2i2i−2i0000000000000000
χ382-22-2-2-2222-22-20000000022-2-20000002i2i−2i−2i000-22-220000−2i2i−2i2i0000000000000000
χ392-22-2-2-2222-22-20000000022-2-2000000−2i−2i2i2i0002-22-20000−2i2i−2i2i0000000000000000
χ402-22-2-2-2222-22-20000000022-2-2000000−2i−2i2i2i000-22-2200002i−2i2i−2i0000000000000000
χ412-22-2-2-222-22-22000000002-22-22i2i−2i−2i0000000002-2-222i−2i2i−2i00000000000000000000
χ422-22-2-2-222-22-22000000002-22-22i2i−2i−2i000000000-222-2−2i2i−2i2i00000000000000000000
χ432-22-2-2-222-22-22000000002-22-2−2i−2i2i2i0000000002-2-22−2i2i−2i2i00000000000000000000
χ442-22-2-2-222-22-22000000002-22-2−2i−2i2i2i000000000-222-22i−2i2i−2i00000000000000000000
χ45444-44-4-4-44-4-440000000000000000000000000000022−22−222200000000000000000000
χ46444-44-4-4-44-4-4400000000000000000000000000000−222222−2200000000000000000000
χ47444-44-4-4-4-444-400000000000000000000000000000000022−22−22220000000000000000
χ48444-44-4-4-4-444-4000000000000000000000000000000000−222222−220000000000000000
χ4944-4-4-44-4400004i−4i4i−4i000000002i−2i2i−2i002-22-20000000000000000000000000000000
χ5044-4-4-44-4400004i−4i4i−4i00000000−2i2i−2i2i00-22-220000000000000000000000000000000
χ5144-4-4-44-440000−4i4i−4i4i000000002i−2i2i−2i00-22-220000000000000000000000000000000
χ5244-4-4-44-440000−4i4i−4i4i00000000−2i2i−2i2i002-22-20000000000000000000000000000000
χ534-444-44-4-444-4-444-4-4-4400000000000000000000000000000000000000000000000
χ544-444-44-4-444-4-4-4-4444-400000000000000000000000000000000000000000000000
χ554-44-4-4-4444-44-400000000-4-44400000000000000000000000000000000000000000
χ564-44-4-4-444-44-4400000000-44-4400000000000000000000000000000000000000000
χ574-4-444-4-4400000000004i−4i00002-2-22002i−2i−2i2i0000000000000000000000000000000
χ584-4-444-4-4400000000004i−4i0000-222-200−2i2i2i−2i0000000000000000000000000000000
χ594-4-444-4-440000000000−4i4i00002-2-2200−2i2i2i−2i0000000000000000000000000000000
χ604-4-444-4-440000000000−4i4i0000-222-2002i−2i−2i2i0000000000000000000000000000000
χ614-4-4-4444-400004i−4i−4i4i000000000000000000000000000000000000000002-22i−2i0000
χ624-4-4-4444-400004i−4i−4i4i00000000000000000000000000000000000000000-22−2i2i0000
χ634-4-4-4444-40000−4i4i4i−4i000000000000000000000000000000000000000002-2−2i2i0000
χ644-4-4-4444-40000−4i4i4i−4i00000000000000000000000000000000000000000-222i−2i0000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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