Finite Group Databasebeta

← Group #23398

Character table — Group #23398

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222222444488888888888811112222224444888888888888
order1222224444444424444444888822222244444444244444448888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111-1-11-1-1-1-111-1-1111111111111111-1-11-1-1-1-111-1-1
χ311111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-111
χ411111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ51111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ61111111111-1-1-1-11-1-11-1-111-1-1111111111111-1-1-1-11-1-11-1-111-1-111
χ71111111111-1-1-1-1-111-1-1-11111-1-11111111111-1-1-1-1-111-1-1-11111-1-1
χ81111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-11111
χ9222222-2-2-2-2000000002-2000000222222-2-2-2-2000000002-2000000
χ10222222-2-2-2-200000000-22000000222222-2-2-2-200000000-22000000
χ112222-2-22-22-2000002-20000000002222-2-22-22-2000002-2000000000
χ122222-2-22-22-200000-220000000002222-2-22-22-200000-22000000000
χ132222-2-2-22-220000200-2000000002222-2-2-22-220000200-200000000
χ142222-2-2-22-220000-2002000000002222-2-2-22-220000-200200000000
χ152-2-222-222-2-20000000000002i−2i002-2-222-222-2-20000000000002i−2i00
χ162-2-222-222-2-2000000000000−2i2i002-2-222-222-2-2000000000000−2i2i00
χ172-2-222-2-2-222000000000000002-22-2-222-2-2-222000000000000002-2
χ182-2-222-2-2-22200000000000000-222-2-222-2-2-22200000000000000-22
χ192-2-22-222-2-2200000000002-200002-2-22-222-2-2200000000002-20000
χ202-2-22-222-2-220000000000-2200002-2-22-222-2-220000000000-220000
χ212-2-22-22-222-222-2-20000000000002-2-22-22-222-222-2-2000000000000
χ222-2-22-22-222-2-2-2220000000000002-2-22-22-222-2-2-222000000000000
χ2344-4-40000002-22-200000000000044-4-40000002-22-2000000000000
χ2444-4-4000000-22-2200000000000044-4-4000000-22-22000000000000
χ254-44-40000002-2-220000000000004-44-40000002-2-22000000000000
χ264-44-4000000-222-20000000000004-44-4000000-222-2000000000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111
χ2911111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1
χ3011111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ311111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ321111111111-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-1
χ331111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ341111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ35222222-2-2-2-2000000002-2000000-2-2-2-2-2-2222200000000-22000000
χ36222222-2-2-2-200000000-22000000-2-2-2-2-2-22222000000002-2000000
χ372222-2-22-22-2000002-2000000000-2-2-2-222-22-2200000-22000000000
χ382222-2-22-22-200000-22000000000-2-2-2-222-22-22000002-2000000000
χ392222-2-2-22-220000200-200000000-2-2-2-2222-22-20000-200200000000
χ402222-2-2-22-220000-200200000000-2-2-2-2222-22-20000200-200000000
χ412-2-222-222-2-20000000000002i−2i00-222-2-22-2-222000000000000−2i2i00
χ422-2-222-222-2-2000000000000−2i2i00-222-2-22-2-2220000000000002i−2i00
χ432-2-222-2-2-222000000000000002-2-222-2-2222-2-200000000000000-22
χ442-2-222-2-2-22200000000000000-22-222-2-2222-2-2000000000000002-2
χ452-2-22-222-2-2200000000002-20000-222-22-2-222-20000000000-220000
χ462-2-22-222-2-220000000000-220000-222-22-2-222-200000000002-20000
χ472-2-22-22-222-222-2-2000000000000-222-22-22-2-22-2-222000000000000
χ482-2-22-22-222-2-2-222000000000000-222-22-22-2-2222-2-2000000000000
χ4944-4-40000002-22-2000000000000-4-444000000-22-22000000000000
χ5044-4-4000000-22-22000000000000-4-4440000002-22-2000000000000
χ514-44-40000002-2-22000000000000-44-44000000-222-2000000000000
χ524-44-4000000-222-2000000000000-44-440000002-2-22000000000000

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