Finite Group Databasebeta

← Group #23645

Character table — Group #23645

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222222444488888888888811112222224444888888888888
order1222224444888824444488888822222244448888244444888888
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ311111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ71111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111
χ81111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ9222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000
χ10222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000
χ112222-2-222-2-200002-200000000002222-2-222-2-200002-20000000000
χ122222-2-222-2-20000-2200000000002222-2-222-2-20000-220000000000
χ132222-2-2-2-22222-2-20000000000002222-2-2-2-22222-2-2000000000000
χ142222-2-2-2-222-2-2220000000000002222-2-2-2-222-2-222000000000000
χ1522-2-22-22-22-2000000002i−2i00000022-2-22-22-22-2000000002i−2i000000
χ1622-2-22-22-22-200000000−2i2i00000022-2-22-22-22-200000000−2i2i000000
χ1722-2-22-2-22-220000000000002i−2i0022-2-22-2-22-220000000000002i−2i00
χ1822-2-22-2-22-22000000000000−2i2i0022-2-22-2-22-22000000000000−2i2i00
χ1922-2-2-222-2-22000000000000002i−2i22-2-2-222-2-22000000000000002i−2i
χ2022-2-2-222-2-2200000000000000−2i2i22-2-2-222-2-2200000000000000−2i2i
χ2122-2-2-22-222-20000002i−2i0000000022-2-2-22-222-20000002i−2i00000000
χ2222-2-2-22-222-2000000−2i2i0000000022-2-2-22-222-2000000−2i2i00000000
χ234-44-4000000002i2−2i20000000000004-44-4000000002i2−2i2000000000000
χ244-44-400000000−2i22i20000000000004-44-400000000−2i22i2000000000000
χ254-4-440000002i2−2i2000000000000004-4-440000002i2−2i200000000000000
χ264-4-44000000−2i22i2000000000000004-4-44000000−2i22i200000000000000
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
χ281111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ2911111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ3011111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ321111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ331111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ341111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ35222222-2-2-2-200000000002i−2i0000-2-2-2-2-2-222220000000000−2i2i0000
χ36222222-2-2-2-20000000000−2i2i0000-2-2-2-2-2-2222200000000002i−2i0000
χ372222-2-222-2-200002-20000000000-2-2-2-222-2-2220000-220000000000
χ382222-2-222-2-20000-220000000000-2-2-2-222-2-22200002-20000000000
χ392222-2-2-2-22222-2-2000000000000-2-2-2-22222-2-2-2-222000000000000
χ402222-2-2-2-222-2-222000000000000-2-2-2-22222-2-222-2-2000000000000
χ4122-2-22-22-22-2000000002i−2i000000-2-222-22-22-2200000000−2i2i000000
χ4222-2-22-22-22-200000000−2i2i000000-2-222-22-22-22000000002i−2i000000
χ4322-2-22-2-22-220000000000002i−2i00-2-222-222-22-2000000000000−2i2i00
χ4422-2-22-2-22-22000000000000−2i2i00-2-222-222-22-20000000000002i−2i00
χ4522-2-2-222-2-22000000000000002i−2i-2-2222-2-222-200000000000000−2i2i
χ4622-2-2-222-2-2200000000000000−2i2i-2-2222-2-222-2000000000000002i−2i
χ4722-2-2-22-222-20000002i−2i00000000-2-2222-22-2-22000000−2i2i00000000
χ4822-2-2-22-222-2000000−2i2i00000000-2-2222-22-2-220000002i−2i00000000
χ494-44-4000000002i2−2i2000000000000-44-4400000000−2i22i2000000000000
χ504-44-400000000−2i22i2000000000000-44-44000000002i2−2i2000000000000
χ514-4-440000002i2−2i200000000000000-444-4000000−2i22i200000000000000
χ524-4-44000000−2i22i200000000000000-444-40000002i2−2i200000000000000

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