Finite Group Databasebeta

← Group #33146

Character table — Group #33146

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222222224444444444444444444444444444444444888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ711111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ911111111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ1211111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ1311111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ2122-22-22-2-222-2-22200000000-2-22-2000022-2-222-2-200000000000000000000
χ2222-22-22-2-222-2-22200000000-2-22-20000-2-222-2-22200000000000000000000
χ2322-22-22-2-222-2-2-2-20000000022-220000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2422-22-22-2-222-2-2-2-20000000022-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2522-22-22-2-2-2-2222200000000-2-2-22000022-2-2-2-22200000000000000000000
χ2622-22-22-2-2-2-2222200000000-2-2-220000-2-22222-2-200000000000000000000
χ2722-22-22-2-2-2-222-2-200000000222-20000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822-22-22-2-2-2-222-2-200000000222-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-222-2-2-2200002-200002i2i−2i−2i2-200002i−2i00002i−2i2i−2i2-22-20000000000000000
χ302-222-2-2-2200002-200002i2i−2i−2i2-200002i−2i0000−2i2i−2i2i-22-220000000000000000
χ312-222-2-2-2200002-20000−2i−2i2i2i2-20000−2i2i00002i−2i2i−2i-22-220000000000000000
χ322-222-2-2-2200002-20000−2i−2i2i2i2-20000−2i2i0000−2i2i−2i2i2-22-20000000000000000
χ332-222-2-2-220000-2200002i2i−2i−2i-220000−2i2i2i−2i2i−2i000000002-22-2000000000000
χ342-222-2-2-220000-2200002i2i−2i−2i-220000−2i2i−2i2i−2i2i00000000-22-22000000000000
χ352-222-2-2-220000-220000−2i−2i2i2i-2200002i−2i2i−2i2i−2i00000000-22-22000000000000
χ362-222-2-2-220000-220000−2i−2i2i2i-2200002i−2i−2i2i−2i2i000000002-22-2000000000000
χ372-2-222-22-200002-222-2-20000-22002-20000002i−2i−2i2i00002i−2i−2i2i000000000000
χ382-2-222-22-200002-222-2-20000-22002-2000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ392-2-222-22-200002-2-2-2220000-2200-220000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ402-2-222-22-200002-2-2-2220000-2200-22000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ412-2-222-22-20000-2222-2-200002-200-22002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ422-2-222-22-20000-2222-2-200002-200-2200−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ432-2-222-22-20000-22-2-22200002-2002-2002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ442-2-222-22-20000-22-2-22200002-2002-200−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ452-2-2-2-22222-22-2002-22-22-22-20000000000000000000000002−22−22−22−20000
χ462-2-2-2-22222-22-2002-22-22-22-2000000000000000000000000−22−22−22−220000
χ472-2-2-2-22222-22-200-22-22-22-220000000000000000000000002−22−2−22−220000
χ482-2-2-2-22222-22-200-22-22-22-22000000000000000000000000−22−222−22−20000
χ492-2-2-2-2222-22-22002-22-2-22-220000000000000000000000002−2−222−2−220000
χ502-2-2-2-2222-22-22002-22-2-22-22000000000000000000000000−222−2−222−20000
χ512-2-2-2-2222-22-2200-22-222-22-20000000000000000000000002−2−22−222−20000
χ522-2-2-2-2222-22-2200-22-222-22-2000000000000000000000000−222−22−2−220000
χ53444-4-4-44-40000004-4-440000000000000000000000000000000000000000
χ54444-4-4-44-4000000-444-40000000000000000000000000000000000000000
χ5544-4-44-4-4400000000004i−4i−4i4i000000000000000000000000000000000000
χ5644-4-44-4-440000000000−4i4i4i−4i000000000000000000000000000000000000
χ574-44-444-4-44-4-440000000000000000000000000000000000000000000000
χ584-44-444-4-4-444-40000000000000000000000000000000000000000000000

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