Finite Group Databasebeta

← Group #29253

Character table — Group #29253

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244442244444444444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111
χ511111111111111-1-111-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-111-1-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-111-1-11111-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ9111111111111-1-111-1-111-11111-1-111-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-111-111-1-1-1-11111-1-1-1-1-111-1-111-1-111
χ11111111111111-1-111-1-111-1-1-11111-1-1-1-1-11111-1-1-1-111-1-111
χ12111111111111-1-111-1-111-1-1-1-1-111-1-111-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11-1-1111111-1-11-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-22222-2-2-2-2-20000000000200000000000000
χ1822222222-2-2-2-222-2-2-2-22220000000000-200000000000000
χ1922222222-2-2-2-2-2-22222-2-220000000000-200000000000000
χ2022222222-2-2-2-2-2-2-2-22222-20000000000200000000000000
χ21222-2-22-2-222-2-22-2002-20002-2002-20000000000000000000
χ22222-2-22-2-222-2-22-2002-2000-2200-220000000000000000000
χ23222-2-22-2-222-2-2-2200-220002-200-220000000000000000000
χ24222-2-22-2-222-2-2-2200-22000-22002-20000000000000000000
χ25222-2-22-2-2-2-2222-200-220000000002i−2i0002i−2i000000000000
χ26222-2-22-2-2-2-2222-200-22000000000−2i2i000−2i2i000000000000
χ27222-2-22-2-2-2-222-22002-20000000002i−2i000−2i2i000000000000
χ28222-2-22-2-2-2-222-22002-2000000000−2i2i0002i−2i000000000000
χ292-2-22-222-22-22-2002i−2i002i−2i0000000002-2000002i−2i00000000
χ302-2-22-222-22-22-2002i−2i002i−2i000000000-2200000−2i2i00000000
χ312-2-22-222-22-22-200−2i2i00−2i2i0000000002-200000−2i2i00000000
χ322-2-22-222-22-22-200−2i2i00−2i2i000000000-22000002i−2i00000000
χ332-2-22-222-2-22-22002i−2i00−2i2i0002-20000000002i−2i0000000000
χ342-2-22-222-2-22-22002i−2i00−2i2i000-22000000000−2i2i0000000000
χ352-2-22-222-2-22-2200−2i2i002i−2i0002-2000000000−2i2i0000000000
χ362-2-22-222-2-22-2200−2i2i002i−2i000-220000000002i−2i0000000000
χ3744-44-4-4-4400000000000000000000000000000000002i2−2i200
χ3844-44-4-4-440000000000000000000000000000000000−2i22i200
χ3944-4-44-44-400000000000000000000000000000000000022−22
χ4044-4-44-44-4000000000000000000000000000000000000−2222
χ414-4444-4-4-400000000000000000000000000000022−22000000
χ424-4444-4-4-4000000000000000000000000000000−2222000000
χ434-44-4-4-4440000000000000000000000000000000022−220000
χ444-44-4-4-44400000000000000000000000000000000−22220000
χ454-4-4-444-444-4-440000000000000000000000000000000000
χ464-4-4-444-44-444-40000000000000000000000000000000000

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