Finite Group Databasebeta

← Group #24403

Character table — Group #24403

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444442222444888822244488888888884488
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-11111-111-11111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111-1-11-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111
χ811111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111-1-11111-1-111-11111-1-1-111-1-1-11-111-1-111-1-11-11-1
χ10111111-1-11111-1-111-11111-1-1-1-1-1-1111-111-1-1-1-111-11-11
χ11111111-1-11111-1-111-111-1-111-111-1-1-1-11-1-11111-1-1-11-11
χ12111111-1-11111-1-111-111-1-111-1-1-1-111-11-1-111-1-1111-11-1
χ13111111-1-11111-1-1-1-1-1-1-111-1-11111-1-11-1-1-111-1-1111-1-11
χ14111111-1-11111-1-1-1-1-1-1-111-1-11-1-11111-1-1-11111-1-1-111-1
χ15111111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-111-111-1
χ16111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1111-1111-1-111-1-11-1-11
χ1722222222-2-2-2-2-2-2002000000000000002i−2i2i−2i00000000
χ1822222222-2-2-2-2-2-200200000000000000−2i2i−2i2i00000000
χ19222222-2-2-2-2-2-22200-2000000000000002i−2i−2i2i00000000
χ20222222-2-2-2-2-2-22200-200000000000000−2i2i2i−2i00000000
χ212222-2-2222-2-222-222-2-2-20000-20020000000000000000
χ222222-2-2222-2-222-2-2-2-2220000200-20000000000000000
χ232222-2-222-222-2-2200-2002222000000-2-2000000000000
χ242222-2-222-222-2-2200-200-2-2-2-200000022000000000000
χ252222-2-2-2-22-2-22-22222-2-20000200-20000000000000000
χ262222-2-2-2-22-2-22-22-2-22220000-20020000000000000000
χ272222-2-2-2-2-222-22-20020022-2-2000000-22000000000000
χ282222-2-2-2-2-222-22-200200-2-2220000002-2000000000000
χ292-2-222-200-22-22002-202-2000000002-2000000002-20000
χ302-2-222-200-22-22002-202-200000000-2200000000-220000
χ312-2-222-200-22-2200-220-22000000002-200000000-220000
χ322-2-222-200-22-2200-220-2200000000-22000000002-20000
χ332-2-22-2200-2-222002-20-22000002-20000000002-2000000
χ342-2-22-2200-2-222002-20-2200000-22000000000-22000000
χ352-2-22-2200-2-22200-2202-2000002-2000000000-22000000
χ362-2-22-2200-2-22200-2202-200000-220000000002-2000000
χ374-44-4004i−4i0000000000022−222i2−2i200000000000000000000
χ384-44-4004i−4i00000000000−2222−2i22i200000000000000000000
χ394-44-400−4i4i0000000000022−22−2i22i200000000000000000000
χ404-44-400−4i4i00000000000−22222i2−2i200000000000000000000
χ414-4-444-4004-44-40000000000000000000000000000000
χ424-4-44-440044-4-40000000000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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