Finite Group Databasebeta

← Group #25971

Character table — Group #25971

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ9111111111111-1-111-1-1-1-111111-111-1-111-1-1-1-11111-1-1-1-11-1
χ10111111111111-1-111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-11111-11
χ11111111111111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-111111-1
χ12111111111111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-111111111-1-1-1-1-11
χ13111111111111-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-111-1-111-11
χ14111111111111-1-1-1-111-1-11111-11-1-111-1-111-1-111-1-111-1-11-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-1-11
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1111-1
χ1722222222-2-2-2-2222222-2-20000-2-200000000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200002200000000000000000000
χ1922222222-2-2-2-2-2-222-2-2220000-2200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2222200002-200000000000000000000
χ21222-2-2-2-2222-2-22-200002-222-2-200000000002-20000000000
χ22222-2-2-2-2222-2-22-200002-2-2-2220000000000-220000000000
χ23222-2-2-2-2222-2-2-220000-2222-2-20000000000-220000000000
χ24222-2-2-2-2222-2-2-220000-22-2-22200000000002-20000000000
χ25222-2-2-2-22-2-2222-20000-220000002i−2i2i−2i0000000000000000
χ26222-2-2-2-22-2-2222-20000-22000000−2i2i−2i2i0000000000000000
χ27222-2-2-2-22-2-222-2200002-20000002i−2i−2i2i0000000000000000
χ28222-2-2-2-22-2-222-2200002-2000000−2i2i2i−2i0000000000000000
χ292-2-222-2-222-22-2000000002-22-2000000002i−2i0000002i−2i0000
χ302-2-222-2-222-22-2000000002-22-200000000−2i2i000000−2i2i0000
χ312-2-222-2-222-22-200000000-22-22000000002i−2i000000−2i2i0000
χ322-2-222-2-222-22-200000000-22-2200000000−2i2i0000002i−2i0000
χ332-2-2-2-22222-2-22000000002-2-220000002-20000002-2000000
χ342-2-2-2-22222-2-22000000002-2-22000000-22000000-22000000
χ352-2-2-2-22222-2-2200000000-222-20000002-2000000-22000000
χ362-2-2-2-22222-2-2200000000-222-2000000-220000002-2000000
χ3744-44-44-4-4000000000000000000000000000022−2200000000
χ3844-44-44-4-40000000000000000000000000000−222200000000
χ3944-4-44-44-400000000000000000000000000000000002i2−2i200
χ4044-4-44-44-40000000000000000000000000000000000−2i22i200
χ414-444-4-44-4000000004-40000000000000000000000000000
χ424-444-4-44-400000000-440000000000000000000000000000
χ434-44-444-4-40000004i−4i000000000000000000000000000000
χ444-44-444-4-4000000−4i4i000000000000000000000000000000
χ454-4-444-4-44-44-440000000000000000000000000000000000
χ464-4-4-4-4444-444-40000000000000000000000000000000000

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