Finite Group Databasebeta

← Group #25845

Character table — Group #25845

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442222444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111-1-111-1-1-1-11-111-1-111-1-111-1-11-1
χ61111111111111111-1-1-1-111-1-1-1-111-1-11-111-1-1-1-111-1-111-11
χ71111111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ81111111111111111-1-1-1-1-1-111-1-111-1-1-11-1-111-1-11111-1-11-1
χ9111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ12111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ13111111111111-1-1-1-1-1-1-1-111-1-111-1-1111-1-1-111-1-111-1-1111-1
χ14111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-11111-1-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-1-1-1111-1
χ1722222222-2-2-2-2000022-2-22222000000-2-200000000000000
χ1822222222-2-2-2-2000022-2-2-2-2-2-20000002200000000000000
χ1922222222-2-2-2-20000-2-22222-2-2000000-2200000000000000
χ2022222222-2-2-2-20000-2-222-2-2220000002-200000000000000
χ2122-222-2-2-222-2-222-2-200000000002-200000000002-2000000
χ2222-222-2-2-222-2-222-2-20000000000-220000000000-22000000
χ2322-222-2-2-222-2-2-2-22200000000002-20000000000-22000000
χ2422-222-2-2-222-2-2-2-2220000000000-2200000000002-2000000
χ252-222-22-2-22-22-22-22-2000000002-200000000002-200000000
χ262-222-22-2-22-22-22-22-200000000-220000000000-2200000000
χ272-222-22-2-22-22-2-22-22000000002-20000000000-2200000000
χ282-222-22-2-22-22-2-22-2200000000-2200000000002-200000000
χ292-2-22-2-2222-2-222-2-222-22-2000000002-20000000000000000
χ302-2-22-2-2222-2-222-2-22-22-2200000000-220000000000000000
χ312-2-22-2-2222-2-22-222-22-22-200000000-220000000000000000
χ322-2-22-2-2222-2-22-222-2-22-22000000002-20000000000000000
χ332-2-22-2-222-222-200002-2-220000000000002-22-20000000000
χ342-2-22-2-222-222-200002-2-22000000000000-22-220000000000
χ352-2-22-2-222-222-20000-222-20000000000002-2-220000000000
χ362-2-22-2-222-222-20000-222-2000000000000-222-20000000000
χ37444-4-4-4-44000000000000000000000000000000002i2−2i20000
χ38444-4-4-4-4400000000000000000000000000000000−2i22i20000
χ3944-444-4-4-4-4-4440000000000000000000000000000000000
χ4044-4-4-444-4000000000000004i−4i0000000000000000000000
χ4144-4-4-444-400000000000000−4i4i0000000000000000000000
χ424-444-44-4-4-44-440000000000000000000000000000000000
χ434-44-44-44-40000000000004i−4i000000000000000000000000
χ444-44-44-44-4000000000000−4i4i000000000000000000000000
χ454-4-4-444-44000000000000000000000000000000000022−2200
χ464-4-4-444-440000000000000000000000000000000000−222200

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