Finite Group Databasebeta

← Group #29247

Character table — Group #29247

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244442244444422444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-111-11111-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1-111-1-1-1-1-11111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1-1-1-1-1-111-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-1111-1-11111-1-11-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-111
χ1722222222-2-2-2-222-2-222-2-200-200000000200000000000000
χ1822222222-2-2-2-222-2-2-2-22200200000000-200000000000000
χ1922222222-2-2-2-2-2-22222-2-200200000000-200000000000000
χ2022222222-2-2-2-2-2-222-2-22200-200000000200000000000000
χ212222-2-2-2-222-2-22-22-200002-202-2000000000000000000000
χ222222-2-2-2-222-2-22-22-20000-220-22000000000000000000000
χ232222-2-2-2-222-2-2-22-2200002-20-22000000000000000000000
χ242222-2-2-2-222-2-2-22-220000-2202-2000000000000000000000
χ252222-2-2-2-2-2-2222-2-22000000000002i−2i0002i−2i000000000000
χ262222-2-2-2-2-2-2222-2-2200000000000−2i2i000−2i2i000000000000
χ272222-2-2-2-2-2-222-222-2000000000002i−2i000−2i2i000000000000
χ282222-2-2-2-2-2-222-222-200000000000−2i2i0002i−2i000000000000
χ292-22-22-22-22-22-200002i−2i2i−2i0000000002-2000002i−2i00000000
χ302-22-22-22-22-22-200002i−2i2i−2i000000000-2200000−2i2i00000000
χ312-22-22-22-22-22-20000−2i2i−2i2i0000000002-200000−2i2i00000000
χ322-22-22-22-22-22-20000−2i2i−2i2i000000000-22000002i−2i00000000
χ332-22-22-22-2-22-2200002i−2i−2i2i000002-200000002i−2i0000000000
χ342-22-22-22-2-22-2200002i−2i−2i2i00000-220000000−2i2i0000000000
χ352-22-22-22-2-22-220000−2i2i2i−2i000002-20000000−2i2i0000000000
χ362-22-22-22-2-22-220000−2i2i2i−2i00000-2200000002i−2i0000000000
χ3744-4-444-4-400000000000000000000000000000022−22000000
χ3844-4-444-4-4000000000000000000000000000000−2222000000
χ3944-4-4-4-4440000000000000000000000000000000022−220000
χ4044-4-4-4-44400000000000000000000000000000000−22220000
χ414-44-4-44-444-4-440000000000000000000000000000000000
χ424-44-4-44-44-444-40000000000000000000000000000000000
χ434-4-444-4-44000000000000000000000000000000000022−2200
χ444-4-444-4-440000000000000000000000000000000000−222200
χ454-4-44-444-40000000000000000000000000000000000002i2−2i2
χ464-4-44-444-4000000000000000000000000000000000000−2i22i2

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