Finite Group Databasebeta

← Group #334641

Character table — Group #334641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444488884488888888888888222444444888888448
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1-11-1-1-1-1-1111-111-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-111-1111-1-111-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-11
χ51111111111111111111-1-111111111-1-111111-1-1-11-1-111-1-1-11-1-1-1-11
χ61111111111111111111-1-111111111-1-1-1-111-111-1-111-1-1-1-1-1-1-1-111-1
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-111111-1-1111-1-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11-1-1-1-11-1-1-111111
χ9111111111111111-1-1-1-11111-1-111-1-11111-1-1-11-11-11-1-1-11-1-11-1-11-11
χ10111111111111111-1-1-1-11111-1-111-1-111-1-1-1-11-1111-11111-1-1-1-1-1-11-1
χ11111111111111111-1-1-1-111-1-111-1-111-1-111-1-11-1111-11-1-1-1-1-11111-1-1
χ12111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-11-11-111-1-1-1-111-111
χ13111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11-1-1-11-1-1-111111-111
χ14111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-111-111-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-11111-1-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-1111111-1-1-11-11
χ1722222222-222-2-2-2-20000222200-2-200220000000-200000-200000000
χ1822222222-222-2-2-2-2000022-2-2002200-2-20000000-200000200000000
χ1922222222-222-2-2-2-20000-2-22200-2-200-2-20000000200000200000000
χ2022222222-222-2-2-2-20000-2-2-2-2002200220000000200000-200000000
χ212222-2-22-222-22-22-2000000002200-2-2002200-200020000000-200000
χ222222-2-22-222-22-22-2000000002200-2-200-2-2002000-20000000200000
χ232222-2-22-222-22-22-200000000-2-200220022002000-20000000-200000
χ242222-2-22-222-22-22-200000000-2-2002200-2-200-200020000000200000
χ252222-2-2-222-222-2-22222200000000000000-2-202200-2-200000000000
χ262222-2-2-222-222-2-22222200000000000000-2-20-2-2002200000000000
χ272222-2-2-222-222-2-22-2-2-2-2000000000000002202-200-2200000000000
χ282222-2-2-222-222-2-22-2-2-2-200000000000000220-22002-200000000000
χ292-22-22-22-20-22000022−2−22-22i−2ii2−i200i2−i22i−2i002−200000000002−20i2−i2000
χ302-22-22-22-20-22000022−2−22-2−2i2i−i2i200−i2i2−2i2i002−200000000002−20−i2i2000
χ312-22-22-22-20-22000022−2−2-222i−2ii2−i200i2−i2−2i2i002−20000000000−220−i2i2000
χ322-22-22-22-20-22000022−2−2-22−2i2i−i2i200−i2i22i−2i002−20000000000−220i2−i2000
χ332-22-22-22-20-220000−2−2222-22i−2i−i2i200−i2i22i−2i00−220000000000−220−i2i2000
χ342-22-22-22-20-220000−2−2222-2−2i2ii2−i200i2−i2−2i2i00−220000000000−220i2−i2000
χ352-22-22-22-20-220000−2−222-222i−2i−i2i200−i2i2−2i2i00−2200000000002−20i2−i2000
χ362-22-22-22-20-220000−2−222-22−2i2ii2−i200i2−i22i−2i00−2200000000002−20−i2i2000
χ37444444-4-44-4-444-4-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ394444-4-44-4-44-4-44-4400000000000000000000000000000000000000
χ404444-4-4-44-4-44-444-400000000000000000000000000000000000000
χ414-44-44-4-4404-4000000000000004i−4i00000000000000000000000000
χ424-44-44-4-4404-400000000000000−4i4i00000000000000000000000000
χ434-44-4-44440-4-40000000000002i2−2i200−2i22i2000000000000000000000000
χ444-44-4-44440-4-4000000000000−2i22i2002i2−2i2000000000000000000000000
χ454-44-4-44-4-404400002222−22−2200000000000000−2222000000000000000000
χ464-44-4-44-4-40440000−22−2222220000000000000022−22000000000000000000
χ474-4-440000400-400022−2222−220000000000002i2−2i20000000002i−2i000000000
χ484-4-440000400-400022−2222−22000000000000−2i22i2000000000−2i2i000000000
χ494-4-440000400-4000−2222−22220000000000002i2−2i2000000000−2i2i000000000
χ504-4-440000400-4000−2222−2222000000000000−2i22i20000000002i−2i000000000
χ5188-8-8000000000004-4-440000000000000000000000000000000000
χ5288-8-800000000000-444-40000000000000000000000000000000000
χ538-8-880000-800800000000000000000000000000000000000000000

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