Finite Group Databasebeta

← Group #33185

Character table — Group #33185

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444422444444888888888888888822244444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111
χ911111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-11-1
χ1011111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-111-11
χ1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-11-111
χ1211111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-11-1-1
χ1311111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111111-11-1-1-1
χ1411111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1111
χ1511111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-11-1-1-11
χ1611111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1111-1
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ21222-2-2-22-22i2i−2i−2i2i2i−2i−2i2-22-200000000000000002i2i−2i−2i22-2-200000000
χ22222-2-2-22-22i2i−2i−2i2i2i−2i−2i2-22-20000000000000000−2i−2i2i2i-2-22200000000
χ23222-2-2-22-22i2i−2i−2i−2i−2i2i2i-22-220000000022-2-22i2i−2i−2i0000000000000000
χ24222-2-2-22-22i2i−2i−2i−2i−2i2i2i-22-2200000000-2-222−2i−2i2i2i0000000000000000
χ25222-2-2-22-2−2i−2i2i2i2i2i−2i−2i-22-220000000022-2-2−2i−2i2i2i0000000000000000
χ26222-2-2-22-2−2i−2i2i2i2i2i−2i−2i-22-2200000000-2-2222i2i−2i−2i0000000000000000
χ27222-2-2-22-2−2i−2i2i2i−2i−2i2i2i2-22-200000000000000002i2i−2i−2i-2-22200000000
χ28222-2-2-22-2−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000−2i−2i2i2i22-2-200000000
χ292-2-222-22-20000000022-2-2002-22-20000002i−2i2i−2i2i−2i2i−2i000000000000
χ302-2-222-22-20000000022-2-2002-22-2000000−2i2i−2i2i−2i2i−2i2i000000000000
χ312-2-222-22-20000000022-2-200-22-220000002i−2i2i−2i−2i2i−2i2i000000000000
χ322-2-222-22-20000000022-2-200-22-22000000−2i2i−2i2i2i−2i2i−2i000000000000
χ332-2-222-22-200000000-2-222002-2-22002-22-2000000002-22-200000000
χ342-2-222-22-200000000-2-222002-2-2200-22-2200000000-22-2200000000
χ352-2-222-22-200000000-2-22200-222-2002-22-200000000-22-2200000000
χ362-2-222-22-200000000-2-22200-222-200-22-22000000002-22-200000000
χ372-2-2-2-2222000000002-2-222-200002-22-2-2200002-2-22000000000000
χ382-2-2-2-2222000000002-2-222-200002-2-222-20000-222-2000000000000
χ392-2-2-2-2222000000002-2-22-220000-222-2-220000-222-2000000000000
χ402-2-2-2-2222000000002-2-22-220000-22-222-200002-2-22000000000000
χ412-2-2-2-222200000000-222-22-20000-2200002-2-220000-222-200000000
χ422-2-2-2-222200000000-222-22-20000-220000-222-200002-2-2200000000
χ432-2-2-2-222200000000-222-2-2200002-200002-2-2200002-2-2200000000
χ442-2-2-2-222200000000-222-2-2200002-20000-222-20000-222-200000000
χ4544-44-44-4-400004i−4i4i−4i000000000000000000000000000000000000
χ4644-44-44-4-40000−4i4i−4i4i000000000000000000000000000000000000
χ4744-4-44-4-4400004-4-44000000000000000000000000000000000000
χ4844-4-44-4-440000-444-4000000000000000000000000000000000000
χ494-444-4-4-444-44-40000000000000000000000000000000000000000
χ504-444-4-4-44-44-440000000000000000000000000000000000000000
χ514-44-444-4-44i−4i−4i4i0000000000000000000000000000000000000000
χ524-44-444-4-4−4i4i4i−4i0000000000000000000000000000000000000000

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