Finite Group Databasebeta

← Group #27606

Character table — Group #27606

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244442222444424444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-111-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-111-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-111-1-111-111-1-111-1-1-1-1-111-1-11111-1-111-1-1
χ10111111111111-1-111-1-111-111-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ11111111111111-1-111-1-111-1-1-11111-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111111-1-111-1-111-1-1-111-1-1-11111-1-111-1-111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-111-1-111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-11111-1-1-1-111
χ1722222222-2-2-2-22222-2-2-2-2-20000002000000000000000000
χ1822222222-2-2-2-222-2-2-2-2222000000-2000000000000000000
χ1922222222-2-2-2-2-2-22222-2-22000000-2000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-20000002000000000000000000
χ2122-2-2-222-222-2-2002-2002-20002i−2i0000000002i−2i0000000000
χ2222-2-2-222-222-2-2002-2002-2000−2i2i000000000−2i2i0000000000
χ2322-2-2-222-222-2-200-2200-220002i−2i000000000−2i2i0000000000
χ2422-2-2-222-222-2-200-2200-22000−2i2i0000000002i−2i0000000000
χ2522-2-2-222-2-2-222002-200-2202i−2i0000000002i−2i000000000000
χ2622-2-2-222-2-2-222002-200-220−2i2i000000000−2i2i000000000000
χ2722-2-2-222-2-2-22200-22002-202i−2i000000000−2i2i000000000000
χ2822-2-2-222-2-2-22200-22002-20−2i2i0000000002i−2i000000000000
χ292-222-22-2-22-22-22-2002-20000000000002i−2i00002i−2i00000000
χ302-222-22-2-22-22-22-2002-2000000000000−2i2i0000−2i2i00000000
χ312-222-22-2-22-22-2-2200-220000000000002i−2i0000−2i2i00000000
χ322-222-22-2-22-22-2-2200-22000000000000−2i2i00002i−2i00000000
χ332-222-22-2-2-22-222-200-2200000002i−2i02i−2i0000000000000000
χ342-222-22-2-2-22-222-200-220000000−2i2i0−2i2i0000000000000000
χ352-222-22-2-2-22-22-22002-200000002i−2i0−2i2i0000000000000000
χ362-222-22-2-2-22-22-22002-20000000−2i2i02i−2i0000000000000000
χ37444-44-4-4-400000000000000000000000000000022−22000000
χ38444-44-4-4-4000000000000000000000000000000−2222000000
χ3944-44-4-4-4400000000000000000000000000000000002i2−2i200
χ4044-44-4-4-440000000000000000000000000000000000−2i22i200
χ414-44-4-4-4440000000000000000000000000000000022−220000
χ424-44-4-4-44400000000000000000000000000000000−22220000
χ434-4-444-44-40000000000000000000000000000000000002i2−2i2
χ444-4-444-44-4000000000000000000000000000000000000−2i22i2
χ454-4-4-444-444-4-440000000000000000000000000000000000
χ464-4-4-444-44-444-40000000000000000000000000000000000

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