Finite Group Databasebeta

← Group #18921

Character table — Group #18921

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222444444442444444224444444488888888888844
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-11-1-11-11-111-1-11-1-11111-1-1-1-11111-1-1
χ61111111111111-1-11-1-11-11-111-1-11-1-1-1-1-1-11111-1-1-1-111
χ71111111111111-1-11-1-11-1-1-1-1-111-11111111111-1-1-1-1-1-1
χ81111111111111-1-11-1-11-1-1-1-1-111-111-1-1-1-1-1-1-1-1111111
χ911111-1-1-1-1111-111-1-1-1111-1-1-1111-1-111-1-111-1-111-1-11-1
χ1011111-1-1-1-1111-111-1-1-1111-1-1-1111-1-1-1-111-1-111-1-111-11
χ1111111-1-1-1-1111-111-1-1-111-1-111-1-1-11111-1-1-1-111-1-1111-1
χ1211111-1-1-1-1111-111-1-1-111-1-111-1-1-111-1-11111-1-111-1-1-11
χ1311111-1-1-1-1111-1-1-1-1111-111-1-1-1-111111-1-1-1-11111-1-1-11
χ1411111-1-1-1-1111-1-1-1-1111-111-1-1-1-1111-1-11111-1-1-1-1111-1
χ1511111-1-1-1-1111-1-1-1-1111-1-111111-1-1-111-1-111-1-1-1-111-11
χ1611111-1-1-1-1111-1-1-1-1111-1-111111-1-1-1-1-111-1-11111-1-11-1
χ172222222-2-2-2-22200-200-20202-200-20000000000000000
χ182222222-2-2-2-22200-200-20-20-220020000000000000000
χ1922222-2-222-2-22-200200-2020-2200-20000000000000000
χ2022222-2-222-2-22-200200-20-202-20020000000000000000
χ212222-2222222-2-222-222-2-20-2000000000000000000000
χ222222-2222222-2-2-2-2-2-2-2-2202000000000000000000000
χ232222-222-2-2-2-2-2-2002002000002-202-200000000000000
χ242222-222-2-2-2-2-2-200200200000-220-2200000000000000
χ252222-2-2-222-2-2-2200-2002000002-20-2200000000000000
χ262222-2-2-222-2-2-2200-200200000-2202-200000000000000
χ272222-2-2-2-2-222-22222-2-2-2-202000000000000000000000
χ282222-2-2-2-2-222-22-2-2222-220-2000000000000000000000
χ292-2-2202i−2i2i−2i2-2002i−2i02-2000000000000000i2−i22−22−2i2−i200
χ302-2-2202i−2i2i−2i2-2002i−2i02-2000000000000000−i2i2−22−22−i2i200
χ312-2-2202i−2i2i−2i2-200−2i2i0-22000000000000000i2−i22−2−22−i2i200
χ322-2-2202i−2i2i−2i2-200−2i2i0-22000000000000000−i2i2−222−2i2−i200
χ332-2-220−2i2i−2i2i2-2002i−2i0-22000000000000000i2−i2−222−2−i2i200
χ342-2-220−2i2i−2i2i2-2002i−2i0-22000000000000000−i2i22−2−22i2−i200
χ352-2-220−2i2i−2i2i2-200−2i2i02-2000000000000000i2−i2−22−22i2−i200
χ362-2-220−2i2i−2i2i2-200−2i2i02-2000000000000000−i2i22−22−2−i2i200
χ3744-4-44000000-40000000000000000022−22000000000000
χ3844-4-44000000-400000000000000000−2222000000000000
χ3944-4-4-4000000400000000000000000002i2−2i20000000000
χ4044-4-4-400000040000000000000000000−2i22i20000000000
χ414-4-4404i−4i−4i4i-4400000000000000000000000000000000
χ424-4-440−4i4i4i−4i-4400000000000000000000000000000000
χ438-88-8000000000000000000000000000000000000000

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