Finite Group Databasebeta

← Group #23513

Character table — Group #23513

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222222444488888888888811112222224444888888888888
order1222222222444422444444444422222222224444224444444444
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111-1-11-1-111-1-1-1-1111111111111111-1-11-1-111-1-1-1-1
χ311111111111111-11-1-11-1-1-111-1-111111111111111-11-1-11-1-1-111-1-1
χ411111111111111-1-11-1-11-1-1-1-11111111111111111-1-11-1-11-1-1-1-111
χ51111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ61111111111-1-1-1-11-1-11-1-1-1-111111111111111-1-1-1-11-1-11-1-1-1-11111
χ71111111111-1-1-1-1-11-1-11-111-1-1111111111111-1-1-1-1-11-1-11-111-1-111
χ81111111111-1-1-1-1-1-11-1-111111-1-11111111111-1-1-1-1-1-11-1-111111-1-1
χ922222-2-22-2-2000000200-200000022222-2-22-2-2000000200-2000000
χ1022222-2-22-2-2000000-200200000022222-2-22-2-2000000-2002000000
χ112222-22-2-22-200000200-200000002222-22-2-22-200000200-20000000
χ122222-22-2-22-200000-200200000002222-22-2-22-200000-20020000000
χ132222-2-22-2-220000200-2000000002222-2-22-2-220000200-200000000
χ142222-2-22-2-220000-2002000000002222-2-22-2-220000-200200000000
χ152-22-222-2-2-220000000000002i−2i002-22-222-2-2-220000000000002i−2i00
χ162-22-222-2-2-22000000000000−2i2i002-22-222-2-2-22000000000000−2i2i00
χ172-22-22-22-22-200000000002i−2i00002-22-22-22-22-200000000002i−2i0000
χ182-22-22-22-22-20000000000−2i2i00002-22-22-22-22-20000000000−2i2i0000
χ192-22-2-2222-2-22i2i−2i−2i0000000000002-22-2-2222-2-22i2i−2i−2i000000000000
χ202-22-2-2222-2-2−2i−2i2i2i0000000000002-22-2-2222-2-2−2i−2i2i2i000000000000
χ212-22-2-2-2-2222000000000000002-22-22-2-2-2-2222000000000000002-2
χ222-22-2-2-2-222200000000000000-222-22-2-2-2-222200000000000000-22
χ2344-4-40000002i−2i2i−2i00000000000044-4-40000002i−2i2i−2i000000000000
χ2444-4-4000000−2i2i−2i2i00000000000044-4-4000000−2i2i−2i2i000000000000
χ254-4-440000002-2-220000000000004-4-440000002-2-22000000000000
χ264-4-44000000-222-20000000000004-4-44000000-222-2000000000000
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
χ28111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ2911111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-111
χ3011111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1
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
χ321111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11111-1-1-1-1
χ331111111111-1-1-1-1-11-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111111-111-11-1-111-1-1
χ341111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111
χ3522222-2-22-2-2000000200-2000000-2-2-2-2-222-222000000-2002000000
χ3622222-2-22-2-2000000-2002000000-2-2-2-2-222-222000000200-2000000
χ372222-22-2-22-200000200-20000000-2-2-2-22-222-2200000-20020000000
χ382222-22-2-22-200000-20020000000-2-2-2-22-222-2200000200-20000000
χ392222-2-22-2-220000200-200000000-2-2-2-222-222-20000-200200000000
χ402222-2-22-2-220000-200200000000-2-2-2-222-222-20000200-200000000
χ412-22-222-2-2-220000000000002i−2i00-22-22-2-2222-2000000000000−2i2i00
χ422-22-222-2-2-22000000000000−2i2i00-22-22-2-2222-20000000000002i−2i00
χ432-22-22-22-22-200000000002i−2i0000-22-22-22-22-220000000000−2i2i0000
χ442-22-22-22-22-20000000000−2i2i0000-22-22-22-22-2200000000002i−2i0000
χ452-22-2-2222-2-22i2i−2i−2i000000000000-22-222-2-2-222−2i−2i2i2i000000000000
χ462-22-2-2222-2-2−2i−2i2i2i000000000000-22-222-2-2-2222i2i−2i−2i000000000000
χ472-22-2-2-2-2222000000000000002-2-22-22222-2-2-200000000000000-22
χ482-22-2-2-2-222200000000000000-22-22-22222-2-2-2000000000000002-2
χ4944-4-40000002i−2i2i−2i000000000000-4-444000000−2i2i−2i2i000000000000
χ5044-4-4000000−2i2i−2i2i000000000000-4-4440000002i−2i2i−2i000000000000
χ514-4-440000002-2-22000000000000-444-4000000-222-2000000000000
χ524-4-44000000-222-2000000000000-444-40000002-2-22000000000000

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