Finite Group Databasebeta

← Group #302196

Character table — Group #302196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111
χ5111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-11111-1-1-1-1
χ9111111111111-1-1-1-11-1-1-1-11111111-111-1-11111-1-1-1-11111-1-1-1-11-1-11-11-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-111111-1-11-11-1-1-1-111-1-111
χ11111111111111-1-1-1-11-1-1-1-11111111-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-11-11-1-1-111-1-111
χ12111111111111-1-1-1-11-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1-11111-11-1-11-11-111-1-111-1-1
χ13111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-1-111
χ14111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-11111-1-1
χ15111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-11-1-11111-1-1
χ16111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11-111-1111-1-1-1-111
χ172222222222222222-222-2-2-2-2-20000-222220000000000000000000-2-200000000000
χ182222222222222222-222-2-2-2-2-20000-2-2-2-2-200000000000000000002200000000000
χ19222222222222-2-2-2-2-2-2-222-2-2-20000222-2-20000000000000000000-2200000000000
χ20222222222222-2-2-2-2-2-2-222-2-2-200002-2-22200000000000000000002-200000000000
χ2122222222-2-2-2-222222-2-2-2-2-2-2222-2-220000000000000000000000-20000200000000
χ2222222222-2-2-2-222222-2-2-2-2-2-22-2-2222000000000000000000000020000-200000000
χ2322222222-2-2-2-22222-2-2-22222-20000-20000000000000000000022000-2-2000000000
χ2422222222-2-2-2-22222-2-2-22222-20000-200000000000000000000-2-200022000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-2222-2-2-2000000000000000000000020000-200000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-2-222-20000000000000000000000-20000200000000
χ2722222222-2-2-2-2-2-2-2-2-222-2-222-200002000000000000000000002-2000-22000000000
χ2822222222-2-2-2-2-2-2-2-2-222-2-222-20000200000000000000000000-220002-2000000000
χ292222-2-2-2-22-22-20000200002-2-22-22-200000000022-2-2000022-2-20000000000000000
χ302222-2-2-2-22-22-20000200002-2-22-22-2000000000-2-2220000-2-2220000000000000000
χ312222-2-2-2-22-22-20000200002-2-2-22-2200000000022-2-20000-2-2220000000000000000
χ322222-2-2-2-22-22-20000200002-2-2-22-22000000000-2-222000022-2-20000000000000000
χ332222-2-2-2-2-22-22000020000-22-22-2-220000022-2-2000022-2-200000000000000000000
χ342222-2-2-2-2-22-22000020000-22-22-2-2200000-2-2220000-2-22200000000000000000000
χ352222-2-2-2-2-22-22000020000-22-2-222-20000022-2-20000-2-22200000000000000000000
χ362222-2-2-2-2-22-22000020000-22-2-222-200000-2-222000022-2-200000000000000000000
χ3722-2-222-2-2-2-22222-2-202-200000000002i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i20000000000002−22−2
χ3822-2-222-2-2-2-22222-2-202-200000000002i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i2000000000000−22−22
χ3922-2-222-2-2-2-22222-2-202-20000000000−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i2000000000000−22−22
χ4022-2-222-2-2-2-22222-2-202-20000000000−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i20000000000002−22−2
χ4122-2-222-2-2-2-222-2-2220-2200000000002i−2i−2i2i00000000i2−i2i2−i2−i2i2−i2i20000000000002−2−22
χ4222-2-222-2-2-2-222-2-2220-2200000000002i−2i−2i2i00000000−i2i2−i2i2i2−i2i2−i2000000000000−222−2
χ4322-2-222-2-2-2-222-2-2220-220000000000−2i2i2i−2i00000000i2−i2i2−i2−i2i2−i2i2000000000000−222−2
χ4422-2-222-2-2-2-222-2-2220-220000000000−2i2i2i−2i00000000−i2i2−i2i2i2−i2i2−i20000000000002−2−22
χ454444-4-4-4-44-44-40000-40000-44400000000000000000000000000000000000000000
χ464444-4-4-4-4-44-440000-400004-4400000000000000000000000000000000000000000
χ4744-4-444-4-444-4-444-4-40-440000000000000000000000000000000000000000000000
χ4844-4-444-4-444-4-4-4-44404-40000000000000000000000000000000000000000000000
χ4944-4-4-4-4444-4-44000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-4-4-4-4444-4-4400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-4-4-444-444-40000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5244-4-4-4-444-444-4000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ534-44-44-4-4400004-44-4000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ544-44-44-4-4400004-44-400000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ554-44-44-4-440000-44-44000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ564-44-44-4-440000-44-4400000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ574-44-4-444-4000000000004-40000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ584-44-4-444-4000000000004-4000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ594-44-4-444-400000000000-440000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ604-44-4-444-400000000000-44000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ614-4-444-44-400004-4-44000000000000000000000000000000000000000002i−2i2i−2i0000
χ624-4-444-44-400004-4-4400000000000000000000000000000000000000000−2i2i−2i2i0000
χ634-4-444-44-40000-444-4000000000000000000000000000000000000000002i−2i−2i2i0000
χ644-4-444-44-40000-444-400000000000000000000000000000000000000000−2i2i2i−2i0000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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