Finite Group Databasebeta

← Group #486137

Character table — Group #486137

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222244444444444444444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-111111111-1-1
χ51111111111111-1-1-1-1111-1-111-1-1-1-111-1-111111-11-11-111111-1-1-1-1-1-1
χ61111111111111-1-1-1-1111-1-111-1-1-1-111-1-111-1-11-1-1-11-1-1-1-1-1-1111111
χ71111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-111-1-111-1-1-1-11111-1-1
χ81111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-11-1-1-11-11111-1-1-1-111
χ91111-1-111-1-1-1-1-1111111-1-1-111-1-1-1-1-1-111111-1-11-111-1111-1-111-1-11-1
χ101111-1-111-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-11-11111-1-1-1-111-1-111-11
χ111111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-111-1-1111-11-1-11-111-1-111-1-1111-1
χ121111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-111-1-111-111-111-11-111-1-111-1-1-11
χ131111-1-111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1111-1-1-1-1-111111-1-1-1-111-11
χ141111-1-111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-11-1-11-111-1-1-11111-1-11-1
χ151111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111111-111-1-1-1-11-1-11111-1-1-11
χ161111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-11111-1-1-1-111-1-1-1-1111-1
χ1722222222222-2-20000-2-2-20000220000222-2000-2000-200000000000
χ1822222222222-2-20000-2-2-20000-2-20000-2-22-20002000200000000000
χ19222222222-2-2220000-2-2-2002200002200-2200-2000-2000000000000
χ20222222222-2-2220000-2-2-200-2-20000-2-200-220020002000000000000
χ21222222222-2-2-2-22222222-2-20000220000-2-200000-20000000000000
χ22222222222-2-2-2-2-2-2-2-2222220000-2-20000-2-20000020000000000000
χ232222-2-222-22222222222-2220000-2-20000-2-200000-20000000000000
χ242222-2-222-22222-2-2-2-222-2-2-20000220000-2-20000020000000000000
χ252222-2-222-222-2-20000-2-2200220000-2-200-22002000-2000000000000
χ262222-2-222-222-2-20000-2-2200-2-200002200-2200-20002000000000000
χ272222-2-222-2-2-2220000-2-220000220000-2-22-20002000-200000000000
χ282222-2-222-2-2-2220000-2-220000-2-20000222-2000-2000200000000000
χ292-2-22002-202i−2i2i−2i2i2i−2i−2i2-202-20000000000000000000002−2i2−i2i2−i22−200
χ302-2-22002-202i−2i2i−2i2i2i−2i−2i2-202-2000000000000000000000−22−i2i2−i2i2−2200
χ312-2-22002-202i−2i2i−2i−2i−2i2i2i2-20-220000000000000000000002−2i2−i2−i2i2−2200
χ322-2-22002-202i−2i2i−2i−2i−2i2i2i2-20-22000000000000000000000−22−i2i2i2−i22−200
χ332-2-22002-20−2i2i−2i2i2i2i−2i−2i2-20-220000000000000000000002−2−i2i2i2−i2−2200
χ342-2-22002-20−2i2i−2i2i2i2i−2i−2i2-20-22000000000000000000000−22i2−i2−i2i22−200
χ352-2-22002-20−2i2i−2i2i−2i−2i2i2i2-202-20000000000000000000002−2−i2i2−i2i22−200
χ362-2-22002-20−2i2i−2i2i−2i−2i2i2i2-202-2000000000000000000000−22i2−i2i2−i2−2200
χ37444444-4-4-400000000000000000000000002200-2000-20000000000
χ38444444-4-4-40000000000000000000000000-2-200200020000000000
χ394444-4-4-4-4400000000000000000000000002-2002000-20000000000
χ404444-4-4-4-440000000000000000000000000-2200-200020000000000
χ4144-4-44-400000002-22-2000002-22-22-22-22-2000000000000000000000
χ4244-4-44-400000002-22-200000-22-222-2-22-22000000000000000000000
χ4344-4-44-40000000-22-22000002-2-22-222-2-22000000000000000000000
χ4444-4-44-40000000-22-2200000-222-2-22-222-2000000000000000000000
χ4544-4-4-4400000002-22-2000002-2-22-22-222-2000000000000000000000
χ4644-4-4-4400000002-22-200000-222-2-222-2-22000000000000000000000
χ4744-4-4-440000000-22-22000002-22-22-2-22-22000000000000000000000
χ4844-4-4-440000000-22-2200000-22-222-22-22-2000000000000000000000
χ494-4-44004-404i−4i−4i4i0000-440000000000000000000000000000000000
χ504-4-44004-40−4i4i4i−4i0000-440000000000000000000000000000000000
χ518-88-80000000004i−4i−4i4i000000000000000000000000000000000000
χ528-88-8000000000−4i4i4i−4i000000000000000000000000000000000000
χ538-8-8800-88000000000000000000000000000000000000000000000

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