Finite Group Databasebeta

← Group #28239

Character table — Group #28239

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1222224444444488884488888822224444444488888888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1111-111-1-11-11-1
χ10111111-1-1-1-111111111-1-1-1-1-1-11111-11-1-1-1-111-11-1-111-11-11
χ11111111-1-1-1-111111111-1-1-1-1-1-111-1-11-11111-1-11-111-1-1-11-11
χ12111111-1-1-1-111111111-1-1-1-1-1-111-1-1-111111-1-1-11-1-1111-11-1
χ13111111-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-111-1-11-1-1-1111-1-11
χ14111111-1-1-1-11111-1-1-1-1-1-11111-1-111-11-1-111-1-1-1111-1-1-111-1
χ15111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1-1111-1-1-111-111-1
χ16111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1111-1-11-1-11
χ172222222222-2-2-2-20000-2-20000000000000000002i−2i2i−2i0000
χ182222222222-2-2-2-20000-2-2000000000000000000−2i2i−2i2i0000
χ19222222-2-2-2-2-2-2-2-20000220000000000000000002i−2i−2i2i0000
χ20222222-2-2-2-2-2-2-2-2000022000000000000000000−2i2i2i−2i0000
χ212222-2-222-2-22-2-2200002-20000000022000000-2-200000000
χ222222-2-222-2-22-2-2200002-200000000-2-20000002200000000
χ232222-2-222-2-2-222-22222-2222-2-2-2-200000000000000000000
χ242222-2-222-2-2-222-2-2-2-2-2-22-2-2222200000000000000000000
χ252222-2-2-2-2222-2-220000-22000000002-2000000-2200000000
χ262222-2-2-2-2222-2-220000-2200000000-220000002-200000000
χ272222-2-2-2-222-222-222222-2-2-222-2-200000000000000000000
χ282222-2-2-2-222-222-2-2-2-2-22-222-2-22200000000000000000000
χ292-2-222-200002-22-222-2-20000002-200002i−2i2i−2i000000000000
χ302-2-222-200002-22-222-2-20000002-20000−2i2i−2i2i000000000000
χ312-2-222-200002-22-2-2-222000000-2200002i−2i−2i2i000000000000
χ322-2-222-200002-22-2-2-222000000-220000−2i2i2i−2i000000000000
χ332-2-22-220000-2-22222-2-2000000-222-20000002-20000000000
χ342-2-22-220000-2-22222-2-2000000-22-22000000-220000000000
χ352-2-22-220000-2-222-2-2220000002-22-2000000-220000000000
χ362-2-22-220000-2-222-2-2220000002-2-220000002-20000000000
χ3744-4-400004i−4i00002i2−2i22i2−2i2000022−220000000000000000000000
χ3844-4-400004i−4i0000−2i22i2−2i22i20000−22220000000000000000000000
χ3944-4-40000−4i4i00002i2−2i22i2−2i20000−22220000000000000000000000
χ4044-4-40000−4i4i0000−2i22i2−2i22i2000022−220000000000000000000000
χ414-44-4004-40000002i2−2i2−2i22i2002i2−2i2000000000000000000000000
χ424-44-4004-4000000−2i22i22i2−2i200−2i22i2000000000000000000000000
χ434-44-400-440000002i2−2i2−2i22i200−2i22i2000000000000000000000000
χ444-44-400-44000000−2i22i22i2−2i2002i2−2i2000000000000000000000000
χ454-4-444-40000-44-4400000000000000000000000000000000
χ464-4-44-44000044-4-400000000000000000000000000000000

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