Finite Group Databasebeta

← Group #25477

Character table — Group #25477

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822444444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1
χ91111111111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1-11-111-1-11-11-1
χ101111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-11-1-1-11-1-111-11-11
χ111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1111-111-1-1-11-11
χ121111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1111-11-1-1111-11-1
χ131111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-1111-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1111-1111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-1-1-11111-1-111111-1-1-11-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-1-1111-1-11-1-11
χ1722222222-2-22222-2-2-2-2000000000000002200-2-200000000
χ1822222222-2-22222-2-2-2-200000000000000-2-2002200000000
χ1922222222-2-2-2-2-2-2-2-222000000000000002-200-2200000000
χ2022222222-2-2-2-2-2-2-2-22200000000000000-22002-200000000
χ2122-222-2-2-22-200002-20022-2-200002-22-20000000000000000
χ2222-222-2-2-22-200002-20022-2-20000-22-220000000000000000
χ2322-222-2-2-22-200002-200-2-22200002-2-220000000000000000
χ2422-222-2-2-22-200002-200-2-2220000-222-20000000000000000
χ252-222-2-22-22-20000-22002i−2i2i−2i000000002i−2i002-20000000000
χ262-222-2-22-22-20000-22002i−2i2i−2i00000000−2i2i00-220000000000
χ272-222-2-22-22-20000-2200−2i2i−2i2i000000002i−2i00-220000000000
χ282-222-2-22-22-20000-2200−2i2i−2i2i00000000−2i2i002-20000000000
χ292-2-22-22-222222-2-2-2-22-22i−2i−2i2i2i2i−2i−2i00000000000000000000
χ302-2-22-22-222222-2-2-2-22-2−2i2i2i−2i−2i−2i2i2i00000000000000000000
χ312-2-22-22-2222-2-222-2-2-222i−2i−2i2i−2i−2i2i2i00000000000000000000
χ322-2-22-22-2222-2-222-2-2-22−2i2i2i−2i2i2i−2i−2i00000000000000000000
χ332-2-22-22-22-2-222-2-222-22000000000000000000002-22-20000
χ342-2-22-22-22-2-222-2-222-2200000000000000000000-22-220000
χ352-2-22-22-22-2-2-2-222222-2000000000000000000002-2-220000
χ362-2-22-22-22-2-2-2-222222-200000000000000000000-222-20000
χ37444-4-44-4-4004-44-400000000000000000000000000000000
χ38444-4-44-4-400-44-4400000000000000000000000000000000
χ3944-444-4-4-4-440000-44000000000000000000000000000000
χ4044-4-4-4-4440000000000000022−2222−2200000000000000000000
χ4144-4-4-4-44400000000000000−2222−222200000000000000000000
χ424-444-4-44-4-4400004-4000000000000000000000000000000
χ434-44-44-4-44000000000000002i2−2i2−2i22i200000000000000000000
χ444-44-44-4-4400000000000000−2i22i22i2−2i200000000000000000000
χ454-4-4-4444-4004-4-4400000000000000000000000000000000
χ464-4-4-4444-400-444-400000000000000000000000000000000

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