Finite Group Databasebeta

← Group #28939

Character table — Group #28939

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1222224444888888884444888822444444888888884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-11-11-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111-11-11-11-11-1-111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111-1-1111-11-111-1-1-1-1-1-1111-11-1
χ611111111111111-1-1-1-1-1-1-1-111-1-11-111111-1-1-111-1-1-1-1-11-11
χ711111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1111-1-11111-11-11
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-1111111-1-11-11-1
χ91111111111-1-1-1-11111-1-1-1-1-1-11111-11-1111-1-1-1-111-1-11-1-11
χ101111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-11-1-1-1111111-111-1
χ111111111111-1-1-1-11111-1-1-1-1-1-111-111111-1111-1-1-1-1-1-1-111-1
χ121111111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1-1-11111-1-1111-1-11
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-111-111-1-1-1-111-1-111
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-11-1-11111-1-1-1-111
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ172222-2-22-22-200002222000000-2-202020-20-2000000000000
χ182222-2-22-22-200002222000000-2-20-20-20202000000000000
χ192222-2-22-22-20000-2-2-2-200000022020-2020-2000000000000
χ202222-2-22-22-20000-2-2-2-2000000220-2020-202000000000000
χ212222-2-2-22-22222200000000-2-2002020-20-20000000000000
χ222222-2-2-22-22222200000000-2-200-20-202020000000000000
χ232222-2-2-22-22-2-2-2-200000000220020-2020-20000000000000
χ242222-2-2-22-22-2-2-2-2000000002200-2020-2020000000000000
χ252-2-222-22-2-2200002i2i−2i−2i0000002i−2i00000000002i−2i002-20000
χ262-2-222-22-2-2200002i2i−2i−2i0000002i−2i0000000000−2i2i00-220000
χ272-2-222-22-2-220000−2i−2i2i2i000000−2i2i00000000002i−2i00-220000
χ282-2-222-22-2-220000−2i−2i2i2i000000−2i2i0000000000−2i2i002-20000
χ292-2-222-2-222-22i2i−2i−2i000000002i−2i00000000002i−2i002-2000000
χ302-2-222-2-222-22i2i−2i−2i000000002i−2i0000000000−2i2i00-22000000
χ312-2-222-2-222-2−2i−2i2i2i00000000−2i2i00000000002i−2i00-22000000
χ322-2-222-2-222-2−2i−2i2i2i00000000−2i2i0000000000−2i2i002-2000000
χ332-2-22-2222-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i−2i2i00000000000000000000
χ342-2-22-2222-2-22i2i−2i−2i−2i−2i2i2i-2-222−2i2i2i−2i00000000000000000000
χ352-2-22-2222-2-2−2i−2i2i2i2i2i−2i−2i-2-2222i−2i−2i2i00000000000000000000
χ362-2-22-2222-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i2i−2i00000000000000000000
χ37444444-4-4-4-4000000000000000000000000000000000000
χ3844-4-400000022−2222−2222−2222−222-22-2000000000000000000000000
χ3944-4-400000022−2222−22−2222−2222-22-22000000000000000000000000
χ4044-4-4000000−2222−222222−2222−22-22-22000000000000000000000000
χ4144-4-4000000−2222−2222−2222−22222-22-2000000000000000000000000
χ424-44-40000002i2−2i2−2i22i22i2−2i2−2i22i22-2-22000000000000000000000000
χ434-44-40000002i2−2i2−2i22i2−2i22i22i2−2i2-222-2000000000000000000000000
χ444-44-4000000−2i22i22i2−2i22i2−2i2−2i22i2-222-2000000000000000000000000
χ454-44-4000000−2i22i22i2−2i2−2i22i22i2−2i22-2-22000000000000000000000000
χ464-4-44-44-4-444000000000000000000000000000000000000

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