Finite Group Databasebeta

← Group #282107

Character table — Group #282107

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444488888888888888888888888822224444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-111-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-11-1
χ1011111111-1-1-1-111111111-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1111-1-1-11
χ1111111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-11-1-1-111-11
χ1211111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11-11-1-1111-1
χ1311111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-11-11-1-111-11
χ1411111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111-11-1-1-1111-1
χ1511111111-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-11-1111-1-11-1
χ1611111111-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-11-11-111-1-1-11
χ172222222222222-2-2-2222-2-2-2-2-222-2000000000000000000000000000022-2-2000000
χ182222222222222-2-2-2222-2-2-2-2-222-20000000000000000000000000000-2-222000000
χ19222222222222-2222-2-2-2222-2-2-2-2-222-2-22200000000-2-20000000000000000000000
χ20222222222222-2222-2-2-2222-2-2-2-2-2-2-222-2-200000000220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-222-2-2200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-222-2-220000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2322222222-2-2-2-22-2-2-2222-222-2-2-2-2200000000000000000000000000002-2-22000000
χ2422222222-2-2-2-22-2-2-2222-222-2-2-2-220000000000000000000000000000-222-2000000
χ2522222222-2-2-2-2-2222-2-2-22-2-2-2-222222-2-2-2-200000000220000000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-2-2-2-2222-2-2222200000000-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292222-2-2-2-222-2-202-2-200022-2000002i−2i002i−2i22−2−222−2−2000000000000000000i2−i2i2−i200
χ302222-2-2-2-222-2-202-2-200022-2000002i−2i002i−2i−2−222−2−222000000000000000000−i2i2−i2i200
χ312222-2-2-2-222-2-202-2-200022-200000−2i2i00−2i2i22−2−222−2−2000000000000000000−i2i2−i2i200
χ322222-2-2-2-222-2-202-2-200022-200000−2i2i00−2i2i−2−222−2−222000000000000000000i2−i2i2−i200
χ332222-2-2-2-2-2-22202-2-20002-22000002i−2i00−2i2i22−2−2−2−222000000000000000000i2−i2−i2i200
χ342222-2-2-2-2-2-22202-2-20002-22000002i−2i00−2i2i−2−22222−2−2000000000000000000−i2i2i2−i200
χ352222-2-2-2-2-2-22202-2-20002-2200000−2i2i002i−2i22−2−2−2−222000000000000000000−i2i2i2−i200
χ362222-2-2-2-2-2-22202-2-20002-2200000−2i2i002i−2i−2−22222−2−2000000000000000000i2−i2−i2i200
χ372-2-22-22-220000222-22-2-2-2002-200000000000002i−2i2i−2i002i−2i2i−2i0000002-20000000000
χ382-2-22-22-220000222-22-2-2-2002-200000000000002i−2i2i−2i00−2i2i−2i2i000000-220000000000
χ392-2-22-22-220000222-22-2-2-2002-20000000000000−2i2i−2i2i002i−2i2i−2i000000-220000000000
χ402-2-22-22-220000222-22-2-2-2002-20000000000000−2i2i−2i2i00−2i2i−2i2i0000002-20000000000
χ412-2-22-22-220000-2-2-22-2222002-20000000002-22-20000002-2-2200002-2000000000000
χ422-2-22-22-220000-2-2-22-2222002-20000000002-22-2000000-222-20000-22000000000000
χ432-2-22-22-220000-2-2-22-2222002-2000000000-22-220000002-2-220000-22000000000000
χ442-2-22-22-220000-2-2-22-2222002-2000000000-22-22000000-222-200002-2000000000000
χ454444-4-4-4-444-4-40-444000-4-440000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-4440-444000-44-40000000000000000000000000000000000000000000
χ4744-4-444-4-44-44-4000000000000000002i2−2i200000000002i2−2i20000000000000000000000
χ4844-4-444-4-44-44-400000000000000000−2i22i20000000000−2i22i20000000000000000000000
χ4944-4-444-4-4-44-44000000000000000002i2−2i20000000000−2i22i20000000000000000000000
χ5044-4-444-4-4-44-4400000000000000000−2i22i200000000002i2−2i20000000000000000000000
χ5144-4-4-4-4444-4-444000-4-44000004-4000000000000000000000000000000000000000
χ5244-4-4-4-4444-4-44-400044-400000-44000000000000000000000000000000000000000
χ5344-4-4-4-444-444-44000-4-4400000-44000000000000000000000000000000000000000
χ5444-4-4-4-444-444-4-400044-4000004-4000000000000000000000000000000000000000
χ554-44-44-4-4400004000-44-400000000000000000000000000002i2−2i22i2−2i200000000000000
χ564-44-44-4-4400004000-44-40000000000000000000000000000−2i22i2−2i22i200000000000000
χ574-44-44-4-440000-40004-44000000000000000000000000000022−22−222200000000000000
χ584-44-44-4-440000-40004-440000000000000000000000000000−222222−2200000000000000
χ594-4-444-44-4000004-44000-4000000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-4-444-44-4000004-44000-400000000000000000−2i22i22i2−2i2000000000000000000000000
χ614-4-444-44-400000-44-40004000000000000022−22−22220000000000000000000000000000
χ624-4-444-44-400000-44-400040000000000000−222222−220000000000000000000000000000
χ634-4-44-44-4400004-4-444-4-4400-4400000000000000000000000000000000000000000
χ644-4-44-44-440000-444-4-444-400-4400000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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