Finite Group Databasebeta

← Group #30447

Character table — Group #30447

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888222224444488882244
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11-1-11
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-111-1
χ51111111111111111-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-11-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-11-11
χ9111111111111-1-1-1-111-1-11111-1-1-1-1-11111111-1-111-1-1-1-11-1
χ10111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-111-11
χ11111111111111-1-1-1-111-1-1-1-1-1-11111-111-1-111111-1-111-11-1-1
χ12111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-1111-111
χ13111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-111-1-111-1-1-11
χ14111111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-111-1-1-1-111111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1111
χ16111111111111-1-1-1-1-1-111-1-1-1-111111-1-111-1111111-1-11-1-1-1
χ1722222222-2-2-2-222-2-2222200000000-20000-2000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000000200002000000000000
χ1922222222-2-2-2-2-2-22222-2-20000000020000-2000000000000
χ2022222222-2-2-2-2-2-222-2-22200000000-200002000000000000
χ212222-2-2-2-200002-2002i−2i2i−2i22−2−222−2−20000000000i2−i2i2−i20000
χ222222-2-2-2-200002-2002i−2i2i−2i−2−222−2−2220000000000−i2i2−i2i20000
χ232222-2-2-2-200002-200−2i2i−2i2i22−2−222−2−20000000000−i2i2−i2i20000
χ242222-2-2-2-200002-200−2i2i−2i2i−2−222−2−2220000000000i2−i2i2−i20000
χ252222-2-2-2-20000-22002i−2i−2i2i22−2−2−2−2220000000000i2−i2−i2i20000
χ262222-2-2-2-20000-22002i−2i−2i2i−2−22222−2−20000000000−i2i2i2−i20000
χ272222-2-2-2-20000-2200−2i2i2i−2i22−2−2−2−2220000000000−i2i2i2−i20000
χ282222-2-2-2-20000-2200−2i2i2i−2i−2−22222−2−20000000000i2−i2−i2i20000
χ292-22-2-22-22-22-22000000002-22-2000002-22-20000000000000
χ302-22-2-22-22-22-22000000002-22-200000-22-220000000000000
χ312-22-2-22-22-22-2200000000-22-22000002-2-220000000000000
χ322-22-2-22-22-22-2200000000-22-2200000-222-20000000000000
χ332-2-22-2-222-2-2220000000000002-22-20000002-22-200000000
χ342-2-22-2-222-2-2220000000000002-22-2000000-22-2200000000
χ352-2-22-2-222-2-222000000000000-22-220000002-2-2200000000
χ362-2-22-2-222-2-222000000000000-22-22000000-222-200000000
χ3744-4-44-4-444-4-440000000000000000000000000000000000
χ3844-4-44-4-44-444-40000000000000000000000000000000000
χ3944-4-4-444-40000004-4000000000000000000000000000000
χ4044-4-4-444-4000000-44000000000000000000000000000000
χ414-44-44-44-400000000000022−22−22220000000000000000000000
χ424-44-44-44-4000000000000−222222−220000000000000000000000
χ434-44-4-44-444-44-40000000000000000000000000000000000
χ444-4-4444-4-4000000000000000022−22−2222000000000000000000
χ454-4-4444-4-40000000000000000−222222−22000000000000000000
χ464-4-44-4-44444-4-40000000000000000000000000000000000

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