Finite Group Databasebeta

← Group #339762

Character table — Group #339762

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224448888888888888888888888881616161616161616161632323232
order12222244444444444448888888888888888888844448888884488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1111-11-11-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-111-11-11-11
χ51111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-11-11-1-1-1-11-11-1-11
χ61111111111111111111-1-1-1-111111111-1-111-1-1-1-11-11-1-1-1-1-1-11-111-1
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ9111111111111111-1-1-1-111-1-111-1-111-1-1111111111-11-1-1-11-111-1-1-11
χ10111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-11-11-1-11-1-1-1111-1
χ11111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111111-11-1-11-1-1
χ12111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-111
χ13111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1111
χ14111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-11-111-1-1-1
χ15111111111111111-1-1-1-1-1-111-1-111-1-11111111111-11-11-1-1-1111-1-11-1
χ16111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-11-1-1-1-11-1-111-11
χ1722222222-2-222-2-2-222-2-222220000000000000000000000-2-2000000
χ1822222222-2-222-2-2-222-2-2-2-2-2-2000000000000000000000022000000
χ1922222222-2-222-2-2-2-2-22222-2-20000000000000000000000-22000000
χ2022222222-2-222-2-2-2-2-222-2-22200000000000000000000002-2000000
χ212222-2-22-2222-22-2-200000000002200-2-222000000020-20000-200000
χ222222-2-22-2222-22-2-200000000002200-2-2-2-20000000-2020000200000
χ232222-2-22-2222-22-2-20000000000-2-20022220000000-2020000-200000
χ242222-2-22-2222-22-2-20000000000-2-20022-2-2000000020-20000200000
χ252222-2-2-2222-22-22-2000000002200-2-20000220000-202000000-20000
χ262222-2-2-2222-22-22-2000000002200-2-20000-2-2000020-200000020000
χ272222-2-2-2222-22-22-200000000-2-20022000022000020-2000000-20000
χ282222-2-2-2222-22-22-200000000-2-200220000-2-20000-20200000020000
χ2922-2-22-22200-2-20002-2002-22-22−22−22−22−2000022−2−200002−200000000
χ3022-2-22-22200-2-20002-2002-22-2−22−22−22−220000−2−2220000−2200000000
χ3122-2-22-22200-2-20002-200-22-222−22−22−22−20000−2−2220000−2200000000
χ3222-2-22-22200-2-20002-200-22-22−22−22−22−22000022−2−200002−200000000
χ3322-2-22-22200-2-2000-22002-2-222−2−222−2−22000022−2−20000−2200000000
χ3422-2-22-22200-2-2000-22002-2-22−222−2−222−20000−2−22200002−200000000
χ3522-2-22-22200-2-2000-2200-222-22−2−222−2−220000−2−22200002−200000000
χ3622-2-22-22200-2-2000-2200-222-2−222−2−222−2000022−2−20000−2200000000
χ37444444-4-444-4-4-4-4400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000000
χ394444-4-44-4-4-44-4-44400000000000000000000000000000000000000
χ404444-4-4-44-4-4-444-4400000000000000000000000000000000000000
χ4144-4-44-4-4-40044000004i−4i0000000000000000000000000000000000
χ4244-4-44-4-4-4004400000−4i4i0000000000000000000000000000000000
χ4344-4-4-444-400-44000000000000022−2200−22220000000000000000000000
χ4444-4-4-444-400-440000000000000−22220022−220000000000000000000000
χ4544-4-4-44-44004-40000000000022−2200−2222000000000000000000000000
χ4644-4-4-44-44004-400000000000−22220022−22000000000000000000000000
χ474-44-40000-440000000000000000000002i2−2i222−222i−2i2i−2i00000000000000
χ484-44-40000-440000000000000000000002i2−2i2−2222−2i2i−2i2i00000000000000
χ494-44-40000-44000000000000000000000−2i22i222−22−2i2i−2i2i00000000000000
χ504-44-40000-44000000000000000000000−2i22i2−22222i−2i2i−2i00000000000000
χ518-88-800008-80000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000000002i2−2i2−2i22i200000000000000
χ538-8-880000000000000000000000000000000−2i22i22i2−2i200000000000000

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