Finite Group Databasebeta

← Group #283613

Character table — Group #283613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444488888888888888888888161616161616161616161616163232
order12222244444444444444444888824448888888888888888224444888888848
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111111111-1-1-1-1-1-11-11-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11111-1-1
χ411111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111
χ5111111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-111111111-11-1111-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1
χ91111111111111-1-11-1-1111111111-1-111111111-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-111-11
χ101111111111111-1-11-1-1111111111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-111-1-11-1
χ111111111111111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11-111-111-1-1111-1
χ121111111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-11
χ131111111111111-1-11-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11-1-111-1-11-1
χ141111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1111-1-1-1-111-11
χ151111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-11
χ161111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-11-1-1111-1-1111-1
χ17222222-22222-2-222-2222222-20000-2-2-2-20000002200000000000000-200000000
χ18222222-22222-2-222-222-2-2-2-2-20000-2-222000000-2-200000000000000200000000
χ19222222-22222-2-2-2-2-2-2-22222-2000022-2-2000000-2-200000000000000200000000
χ20222222-22222-2-2-2-2-2-2-2-2-2-2-2-2000022220000002200000000000000-200000000
χ21222222-2-2-2-2-2-2200-200000022i2i−2i−2i0000000000002i−2i002i2i−2i−2i00002-2000000000
χ22222222-2-2-2-2-2-2200-200000022i2i−2i−2i0000000000002i−2i00−2i−2i2i2i0000-22000000000
χ23222222-2-2-2-2-2-2200-20000002−2i−2i2i2i000000000000−2i2i002i2i−2i−2i0000-22000000000
χ24222222-2-2-2-2-2-2200-20000002−2i−2i2i2i000000000000−2i2i00−2i−2i2i2i00002-2000000000
χ252222-2-2222-2-22-222-2-2-2000020000-22000022-2-2000000000020-2000000000000
χ262222-2-2222-2-22-222-2-2-2000020000-220000-2-2220000000000-202000000000000
χ272222-2-2222-2-22-2-2-2-2220000200002-2000022-2-20000000000-202000000000000
χ282222-2-2222-2-22-2-2-2-2220000200002-20000-2-222000000000020-2000000000000
χ292222-2-22-2-2222200-2000000-22222000022000000-2-2-2-200000-20200000000000
χ302222-2-22-2-2222200-2000000-222220000-2-2000000-2-2220000020-200000000000
χ312222-2-22-2-2222200-2000000-2-2-2-2-200002200000022-2-20000020-200000000000
χ322222-2-22-2-2222200-2000000-2-2-2-2-20000-2-2000000222200000-20200000000000
χ332222-2-2-222-2-2-22222-2-20000-22i2i−2i−2i2-20000000000−2i2i00000000000002i−2i000000
χ342222-2-2-222-2-2-22222-2-20000-2−2i−2i2i2i2-200000000002i−2i0000000000000−2i2i000000
χ352222-2-2-222-2-2-22-2-22220000-22i2i−2i−2i-220000000000−2i2i0000000000000−2i2i000000
χ362222-2-2-222-2-2-22-2-22220000-2−2i−2i2i2i-2200000000002i−2i00000000000002i−2i000000
χ372-22-22-202-22-2002i−2i02i−2i22-2-2000000000i2−i200002i−2i00i2−i22−22−20000000002−2i2−i200
χ382-22-22-202-22-2002i−2i02i−2i22-2-2000000000−i2i200002i−2i00−i2i2−22−22000000000−22−i2i200
χ392-22-22-202-22-2002i−2i02i−2i-2-222000000000i2−i20000−2i2i00i2−i22−22−2000000000−22−i2i200
χ402-22-22-202-22-2002i−2i02i−2i-2-222000000000−i2i20000−2i2i00−i2i2−22−220000000002−2i2−i200
χ412-22-22-202-22-200−2i2i0−2i2i22-2-2000000000i2−i20000−2i2i00i2−i2−22−22000000000−22i2−i200
χ422-22-22-202-22-200−2i2i0−2i2i22-2-2000000000−i2i20000−2i2i00−i2i22−22−20000000002−2−i2i200
χ432-22-22-202-22-200−2i2i0−2i2i-2-222000000000i2−i200002i−2i00i2−i2−22−220000000002−2−i2i200
χ442-22-22-202-22-200−2i2i0−2i2i-2-222000000000−i2i200002i−2i00−i2i22−22−2000000000−22i2−i200
χ454444444-4-4-4-44-4004000000-4000000000000000000000000000000000000000
χ464444-4-4-4-4-444-4-40040000004000000000000000000000000000000000000000
χ474-44-44-40-44-44000000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ484-44-44-40-44-4400000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ494-44-4-4404-4-44004i−4i0−4i4i00000000000000000000000000000000000000000000
χ504-44-4-4404-4-4400−4i4i04i−4i00000000000000000000000000000000000000000000
χ514-44-4-440-444-4000000000000000000002i2−2i200000000−2i22i20000000000000000000
χ524-44-4-440-444-400000000000000000000−2i22i2000000002i2−2i20000000000000000000
χ534-4-440040000-40000002-22-202i2−2i22i2−2i2002-2002i2−2i2000000000000000000000000000
χ544-4-440040000-40000002-22-20−2i22i2−2i22i2002-200−2i22i2000000000000000000000000000
χ554-4-440040000-4000000-22-2202i2−2i22i2−2i200-2200−2i22i2000000000000000000000000000
χ564-4-440040000-4000000-22-220−2i22i2−2i22i200-22002i2−2i2000000000000000000000000000
χ574-4-4400-4000040000002-22-2022−22−222200-22000022−220000000000000000000000000
χ584-4-4400-4000040000002-22-20−222222−2200-220000−22220000000000000000000000000
χ594-4-4400-400004000000-22-22022−22−2222002-20000−22220000000000000000000000000
χ604-4-4400-400004000000-22-220−222222−22002-2000022−220000000000000000000000000
χ6188-8-8000000000000004-4-440000000000000000000000000000000000000000
χ6288-8-800000000000000-444-40000000000000000000000000000000000000000

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