Finite Group Databasebeta

← Group #273906

Character table — Group #273906

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444444444442444444488888888888888888824444888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1
χ31111111111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1111-1-111-1-11111111111-1-1-11-1-1-1-11-111-1-1
χ611111111111111111111-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111
χ711111111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-11-1-1-1-11-1-111
χ811111111111111111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111111-1-1-11111-1111-1-1
χ91111111111111-1-1-1-111-1111111-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111-1
χ101111111111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-111-1-1-1-1-11
χ111111111111111-1-1-1-111-111-1-111-11111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-11
χ121111111111111-1-1-1-111-111-1-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
χ131111111111111-1-1-1-111-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1111-11
χ141111111111111-1-1-1-111-1-1-111-1-1-1-1-111-1-111-1-111111111-1111-11-1-1-11-1-11-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111-11-1111-1-1-11-1
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-11-111-11
χ17222222-222-222-22222-2-2-2002200-2000022000000000000000-20000-200000
χ18222222-222-222-22222-2-2-200-2-200-20000-2-200000000000000020000200000
χ19222222-222-222-2-2-2-2-2-2-2200220020000-2-2000000000000000-20000200000
χ20222222-222-222-2-2-2-2-2-2-2200-2-200200002200000000000000020000-200000
χ21222222-2-2-2-2-2-2200002-202-2002-2000000000002i2i−2i−2i00000000002i−2i000000
χ22222222-2-2-2-2-2-2200002-202-2002-200000000000−2i−2i2i2i0000000000−2i2i000000
χ23222222-2-2-2-2-2-2200002-20-2200-22000000000002i2i−2i−2i0000000000−2i2i000000
χ24222222-2-2-2-2-2-2200002-20-2200-2200000000000−2i−2i2i2i00000000002i−2i000000
χ252222-2-22222-2-2-200002-202200-2-2022-2-20000-2-20000000000000200000000
χ262222-2-22222-2-2-200002-202200-2-20-2-2220000220000000000000-200000000
χ272222-2-22222-2-2-200002-20-2-20022022220000-2-20000000000000-200000000
χ282222-2-22222-2-2-200002-20-2-200220-2-2-2-20000220000000000000200000000
χ292222-2-22-2-2222222-2-2-2-2-20000002000000220000000000-200020000-20000
χ302222-2-22-2-2222222-2-2-2-2-20000002000000-2-200000000002000-2000020000
χ312222-2-22-2-22222-2-222-2-22000000-20000002200000000002000-20000-20000
χ322222-2-22-2-22222-2-222-2-22000000-2000000-2-20000000000-20002000020000
χ332222-2-2-2-2-2-222-222-2-22222-200-22-200000000000000000002-200000000000
χ342222-2-2-2-2-2-222-222-2-2222-22002-2-20000000000000000000-2200000000000
χ352222-2-2-2-2-2-222-2-2-22222-22-200-2220000000000000000000-2200000000000
χ362222-2-2-2-2-2-222-2-2-22222-2-22002-2200000000000000000002-200000000000
χ372-2-222-202-202-202i−2i2i−2i000002i−2i000i2−i2002-200i2−i22−22−2i2i2−i2−i200000000002−200
χ382-2-222-202-202-202i−2i2i−2i000002i−2i000−i2i2002-200−i2i2−22−22−i2−i2i2i20000000000−2200
χ392-2-222-202-202-202i−2i2i−2i00000−2i2i000i2−i200-2200i2−i22−22−2−i2−i2i2i20000000000−2200
χ402-2-222-202-202-202i−2i2i−2i00000−2i2i000−i2i200-2200−i2i2−22−22i2i2−i2−i200000000002−200
χ412-2-222-202-202-20−2i2i−2i2i000002i−2i000i2−i200-2200i2−i2−22−22−i2−i2i2i200000000002−200
χ422-2-222-202-202-20−2i2i−2i2i000002i−2i000−i2i200-2200−i2i22−22−2i2i2−i2−i20000000000−2200
χ432-2-222-202-202-20−2i2i−2i2i00000−2i2i000i2−i2002-200i2−i2−22−22i2i2−i2−i20000000000−2200
χ442-2-222-202-202-20−2i2i−2i2i00000−2i2i000−i2i2002-200−i2i22−22−2−i2−i2i2i200000000002−200
χ454444444-4-44-4-4-40000-440000000000000000000000000000000000000000
χ464444-4-4-444-4-4-440000-440000000000000000000000000000000000000000
χ474-44-400-400400000000000000000002i2−2i20022−220000002i−2i2i−2i00000000000000
χ484-44-400-400400000000000000000002i2−2i200−2222000000−2i2i−2i2i00000000000000
χ494-44-400-40040000000000000000000−2i22i20022−22000000−2i2i−2i2i00000000000000
χ504-44-400-40040000000000000000000−2i22i200−22220000002i−2i2i−2i00000000000000
χ514-4-444-40-440-4400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-4-444-40-440-440000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4-44-4404-40-440000000000000002i2−2i2000000−2i22i20000000000000000000000
χ544-4-44-4404-40-44000000000000000−2i22i20000002i2−2i20000000000000000000000
χ554-4-44-440-4404-404i−4i−4i4i000000000000000000000000000000000000000000
χ564-4-44-440-4404-40−4i4i4i−4i000000000000000000000000000000000000000000
χ5788-8-8000000000000000000000000000000000000022−22−222200000000000000
χ5888-8-80000000000000000000000000000000000000−222222−2200000000000000
χ598-88-800800-80000000000000000000000000000000000000000000000000

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