Finite Group Databasebeta

← Group #250113

Character table — Group #250113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11112222222244444444444888888888888888888161616161616161616161616161616161632
order12222244444444444448888222444448888888888244444444448888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-11111111-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-11111-1-1111111-1-1-11-1-1-1-1-1-1-1111-111-1
χ4111111111111111111111111-1-11-1-1-1-1-1-111111111-11-1-1-1-1-1-1111-1-1-11-1-11
χ51111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-11-1111-1-11-1-11-1-11-1-1-1
χ61111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1111
χ71111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-11-111-1-111-1111-1-1-1-1-11
χ81111111111111111111-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1111-1-1-111111-1
χ91111111111111-1-1-1-1111111-111-11111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-111-1-1-11
χ101111111111111-1-1-1-1111111-111-111-1-1111111-1-1-1-11-11-1-1-1-1-1-1111-1-1111-1
χ111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-111-1111-1-1-1
χ121111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111111-1-11-1-1-1111
χ131111111111111-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11111-11-11-1-111111-1-1-1-111-1
χ141111111111111-1-1-1-111-1-1-1-1-111-111-1-11111-1-11111-1-1-1-1-1-111-1-1-11111-1-11
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-11111-1-1-1-1-1-1-1-11111
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1111111-1-1-1-1
χ17222222-222-222-22222-2-20000-200-200222200000000000-20000000-2000000
χ18222222-222-222-22222-2-20000-200-200-2-2-2-200000000000200000002000000
χ19222222-222-222-2-2-2-2-2-2-2000020020022-2-200000000000-200000002000000
χ20222222-222-222-2-2-2-2-2-2-20000200200-2-2220000000000020000000-2000000
χ21222222-2-2-2-2-2-2-2000022000002-202-20000000022-2-20000002-20000000000
χ22222222-2-2-2-2-2-2-2000022000002-202-200000000-2-222000000-220000000000
χ23222222-2-2-2-2-2-2-200002200000-220-220000000022-2-2000000-220000000000
χ24222222-2-2-2-2-2-2-200002200000-220-2200000000-2-2220000002-20000000000
χ252222-2-222-222-2-20000-2222220220-2-2000000-2-2000020-2000000000000000
χ262222-2-222-222-2-20000-2222220-2-2022000000-2-20000-202000000000000000
χ272222-2-222-222-2-20000-22-2-2-2-20220-2-2000000220000-202000000000000000
χ282222-2-222-222-2-20000-22-2-2-2-20-2-202200000022000020-2000000000000000
χ292222-2-22-222-22-222-2-22-20000200-20000002200000002000000-200000-2000
χ302222-2-22-222-22-222-2-22-20000200-2000000-2-20000000-20000002000002000
χ312222-2-22-222-22-2-2-2222-20000-2002000000220000000-2000000200000-2000
χ322222-2-22-222-22-2-2-2222-20000-2002000000-2-200000002000000-2000002000
χ332222-2-2-2-22-2-22222-2-2-220000-22-22-2200000000000000002-2000000000000
χ342222-2-2-2-22-2-22222-2-2-220000-2-2222-20000000000000000-22000000000000
χ352222-2-2-2-22-2-222-2-222-22000022-2-2-220000000000000000-22000000000000
χ362222-2-2-2-22-2-222-2-222-2200002-22-22-200000000000000002-2000000000000
χ372-22-2-2202-20-2202i−2i2i−2i0022−2−20000002i−2i2-2002−2i2−i2i2−i2000000000000i2−i202−20
χ382-22-2-2202-20-2202i−2i2i−2i0022−2−2000000−2i2i-22002−2i2−i2i2−i2000000000000−i2i20−220
χ392-22-2-2202-20-2202i−2i2i−2i00−2−2220000002i−2i2-200−22−i2i2−i2i2000000000000−i2i20−220
χ402-22-2-2202-20-2202i−2i2i−2i00−2−222000000−2i2i-2200−22−i2i2−i2i2000000000000i2−i202−20
χ412-22-2-2202-20-220−2i2i−2i2i0022−2−20000002i−2i-22002−2−i2i2−i2i2000000000000i2−i20−220
χ422-22-2-2202-20-220−2i2i−2i2i0022−2−2000000−2i2i2-2002−2−i2i2−i2i2000000000000−i2i202−20
χ432-22-2-2202-20-220−2i2i−2i2i00−2−2220000002i−2i-2200−22i2−i2i2−i2000000000000−i2i202−20
χ442-22-2-2202-20-220−2i2i−2i2i00−2−222000000−2i2i2-200−22i2−i2i2−i2000000000000i2−i20−220
χ454444444-4-44-4-440000-4-40000000000000000000000000000000000000000
χ464444-4-4-44-4-44-4400004-40000000000000000000000000000000000000000
χ4744-4-400400-400000000022−2222−22000000000022−220000000000000002-20000000
χ4844-4-400400-400000000022−2222−220000000000−2222000000000000000-220000000
χ4944-4-400400-4000000000−2222−2222000000000022−22000000000000000-220000000
χ5044-4-400400-4000000000−2222−22220000000000−22220000000000000002-20000000
χ514-44-44-40440-4-400000002222−22−22000000000000−22220000000000000000000000
χ524-44-44-40440-4-40000000−22−22222200000000000022−220000000000000000000000
χ534-44-44-40-4-404404i−4i−4i4i000000000000000000000000000000000000000000
χ544-44-44-40-4-40440−4i4i4i−4i000000000000000000000000000000000000000000
χ554-44-4-440-4404-400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ564-44-4-440-4404-40000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5788-8-800-80080000000000000000000000000000000000000000000000000
χ588-8-880000000000000004-4-44000000000000000000000000000000000000
χ598-8-88000000000000000-444-4000000000000000000000000000000000000

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