Finite Group Databasebeta

← Group #334634

Character table — Group #334634

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444488882288888888888888244444444888888448
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1-1-11-1-1-1-1111-111-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1111-1-111-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-11
χ51111111111111111111-1-111111111-1-11111-11-1-1-11-111-1-1-11-1-1-1-11
χ61111111111111111111-1-111111111-1-1-1-1111-111-1-11-1-1-1-1-1-1-1-111-1
χ71111111111111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-11111-1-1111-1-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-11-1-1-11-1-1-111111
χ9111111111111111-1-1-1-11111-1-111-1-11111-1-11-1-111-1-1-1-11-1-11-1-11-11
χ10111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-111-1111111-1-1-1-1-1-11-1
χ11111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-111-1111-1-1-1-1-11111-1-1
χ12111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-111-111
χ13111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11-1-1-11-1-1-111111-111
χ14111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-11-11-111-111-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-11-11-1-1-11111-1-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-1111111-1-1-11-11
χ1722222222-222-2-2-2-20000222200-2-200-2-200000000-20000200000000
χ1822222222-222-2-2-2-2000022-2-20022002200000000-20000-200000000
χ1922222222-222-2-2-2-20000-2-22200-2-200220000000020000-200000000
χ2022222222-222-2-2-2-20000-2-2-2-2002200-2-20000000020000200000000
χ212222-2-22-222-22-22-2000000002200-2-200220002000-2000000-200000
χ222222-2-22-222-22-22-2000000002200-2-200-2-2000-20002000000200000
χ232222-2-22-222-22-22-200000000-2-200220022000-20002000000-200000
χ242222-2-22-222-22-22-200000000-2-2002200-2-20002000-2000000200000
χ252222-2-2-222-222-2-22222200000000000000-2-2202-200-200000000000
χ262222-2-2-222-222-2-22222200000000000000-2-2-20-2200200000000000
χ272222-2-2-222-222-2-22-2-2-2-2000000000000002220-2-200200000000000
χ282222-2-2-222-222-2-22-2-2-2-20000000000000022-202200-200000000000
χ292-22-22-2-2-20220000i2i2−i2−i22-200i2−i22-2i2−i22-200i2−i20000000000i2−i20i2−i2000
χ302-22-22-2-2-20220000i2i2−i2−i22-200−i2i2-22−i2i2-2200i2−i20000000000i2−i20−i2i2000
χ312-22-22-2-2-20220000i2i2−i2−i2-2200i2−i22-2i2−i2-2200i2−i20000000000−i2i20−i2i2000
χ322-22-22-2-2-20220000i2i2−i2−i2-2200−i2i2-22−i2i22-200i2−i20000000000−i2i20i2−i2000
χ332-22-22-2-2-20220000−i2−i2i2i22-200i2−i2-22i2−i2-2200−i2i20000000000−i2i20i2−i2000
χ342-22-22-2-2-20220000−i2−i2i2i22-200−i2i22-2−i2i22-200−i2i20000000000−i2i20−i2i2000
χ352-22-22-2-2-20220000−i2−i2i2i2-2200i2−i2-22i2−i22-200−i2i20000000000i2−i20−i2i2000
χ362-22-22-2-2-20220000−i2−i2i2i2-2200−i2i22-2−i2i2-2200−i2i20000000000i2−i20i2−i2000
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
χ414-44-44-4440-4-400000000004-4000000000000000000000000000000
χ424-44-44-4440-4-40000000000-44000000000000000000000000000000
χ434-44-4-444-40-4400002i22i2−2i2−2i200000000000000−2i22i2000000000000000000
χ444-44-4-444-40-440000−2i2−2i22i22i2000000000000002i2−2i2000000000000000000
χ454-44-4-44-4404-40000000000002i2−2i200−2i22i2000000000000000000000000
χ464-44-4-44-4404-4000000000000−2i22i2002i2−2i2000000000000000000000000
χ474-4-440000400-40002i2−2i22i2−2i20000000000002i2−2i20000000002-2000000000
χ484-4-440000400-40002i2−2i22i2−2i2000000000000−2i22i2000000000-22000000000
χ494-4-440000400-4000−2i22i2−2i22i20000000000002i2−2i2000000000-22000000000
χ504-4-440000400-4000−2i22i2−2i22i2000000000000−2i22i20000000002-2000000000
χ5188-8-8000000000004-4-440000000000000000000000000000000000
χ5288-8-800000000000-444-40000000000000000000000000000000000
χ538-8-880000-800800000000000000000000000000000000000000000

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