Finite Group Databasebeta

← Group #3103

Character table — Group #3103

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12224444224444444444444444888888882244
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-111-1-11-1-11
χ101111-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-111-1-111-111-1
χ111111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-111-1-1-111-1
χ121111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-1111-1-11
χ131111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-2-2-200000000000000000000
χ1822222222-2-2-2-2-2-2-2-22200000000000000000000
χ192222-2-2-2-22222-2-2-2-2-2200000000000000000000
χ202222-2-2-2-2-2-22222-2-22-200000000000000000000
χ2122-2-222-2-22-2002-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ2222-2-222-2-22-2002-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ2322-2-222-2-2-2200-22000000000000i2−i2i2−i2−i2i2−i2i20000
χ2422-2-222-2-2-2200-22000000000000−i2i2−i2i2i2−i2i2−i20000
χ2522-2-2-2-2222-200-22000000000000i2−i2−i2i2i2−i2−i2i20000
χ2622-2-2-2-2222-200-22000000000000−i2i2i2−i2−i2i2i2−i20000
χ2722-2-2-2-222-22002-2000000000000i2−i2−i2i2−i2i2i2−i20000
χ2822-2-2-2-222-22002-2000000000000−i2i2i2−i2i2−i2−i2i20000
χ292-22-22i−2i2i−2i002i−2i002-20000002-22i−2i000000000000
χ302-22-22i−2i2i−2i002i−2i002-2000000-22−2i2i000000000000
χ312-22-22i−2i2i−2i00−2i2i00-22002-22i−2i0000000000000000
χ322-22-22i−2i2i−2i00−2i2i00-2200-22−2i2i0000000000000000
χ332-22-2−2i2i−2i2i002i−2i00-22002-2−2i2i0000000000000000
χ342-22-2−2i2i−2i2i002i−2i00-2200-222i−2i0000000000000000
χ352-22-2−2i2i−2i2i00−2i2i002-20000002-2−2i2i000000000000
χ362-22-2−2i2i−2i2i00−2i2i002-2000000-222i−2i000000000000
χ374-4-444i−4i−4i4i000000000000000000000000000000
χ384-4-44−4i4i4i−4i000000000000000000000000000000

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