Finite Group Databasebeta

← Group #25545

Character table — Group #25545

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222222224444224444444488888888444444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1111111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-11-1-1-1-1-11111-1-11-1
χ1011111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-1-111-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-111-1-1-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-111-1-1-1-1111-1
χ1311111111-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-1-1111-1-1-1-1-1-111-11
χ1411111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1111-1-1-1-111-1-11-1
χ1511111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1-1111-1
χ1611111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1-11
χ17222222222222-2-2-2-22222-2-20000000000000000-200-20000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000000020020000000000
χ1922222222-2-2-2-2-2-2-2-222-2-2220000000000000000-20020000000000
χ2022222222-2-2-2-2-2-2-2-2-2-222220000000000000000200-20000000000
χ21222-22-2-2-222-2-200002-22-200000022−2−222−2−20000000000002−22−200
χ22222-22-2-2-222-2-200002-22-2000000−2−222−2−222000000000000−22−2200
χ23222-22-2-2-222-2-20000-22-2200000022−2−222−2−2000000000000−22−2200
χ24222-22-2-2-222-2-20000-22-22000000−2−222−2−2220000000000002−22−200
χ25222-22-2-2-2-2-22200002-2-2200000022−2−2−2−2220000000000002−2−2200
χ26222-22-2-2-2-2-22200002-2-22000000−2−22222−2−2000000000000−222−200
χ27222-22-2-2-2-2-2220000-222-200000022−2−2−2−222000000000000−222−200
χ28222-22-2-2-2-2-2220000-222-2000000−2−22222−2−20000000000002−2−2200
χ2922-22-2-22-20000-22-220000002i2i−2i−2i00002-22-2002i−2i00000000000000
χ3022-22-2-22-20000-22-220000002i2i−2i−2i0000-22-2200−2i2i00000000000000
χ3122-22-2-22-20000-22-22000000−2i−2i2i2i00002-22-200−2i2i00000000000000
χ3222-22-2-22-20000-22-22000000−2i−2i2i2i0000-22-22002i−2i00000000000000
χ332-22-2-222-2000022-2-20000002i−2i2i−2i2i−2i2i−2i00002-20000000000000000
χ342-22-2-222-2000022-2-20000002i−2i2i−2i−2i2i−2i2i0000-220000000000000000
χ352-22-2-222-2000022-2-2000000−2i2i−2i2i2i−2i2i−2i0000-220000000000000000
χ362-22-2-222-2000022-2-2000000−2i2i−2i2i−2i2i−2i2i00002-20000000000000000
χ372-2-2-22-2222-22-22-2-2200002-2000000000000000002-20002-2000000
χ382-2-2-22-2222-22-22-2-2200002-200000000000000000-22000-22000000
χ392-2-2-22-2222-22-2-222-20000-222-2-2200000000000000002-200000000
χ402-2-2-22-2222-22-2-222-20000-22-222-20000000000000000-2200000000
χ412-2-2-22-222-22-222-2-220000-22000000000000000002-2000-22000000
χ422-2-2-22-222-22-222-2-220000-2200000000000000000-220002-2000000
χ432-2-2-22-222-22-22-222-200002-22-2-220000000000000000-2200000000
χ442-2-2-22-222-22-22-222-200002-2-222-200000000000000002-200000000
χ4544-44-4-44-400004-44-4000000000000000000000000000000000000
χ4644-4-4-44-44000000000000000000000022−22−2222000000000000000000
χ4744-4-4-44-440000000000000000000000−222222−22000000000000000000
χ484-444-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ494-444-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ504-44-4-444-40000-4-444000000000000000000000000000000000000
χ514-4-4444-4-44-4-440000000000000000000000000000000000000000
χ524-4-4444-4-4-444-40000000000000000000000000000000000000000

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