Finite Group Databasebeta

← Group #3002

Character table — Group #3002

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12224444222244442222244444888888882444
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111-111-1-1-111-1-11111-1-1-1-11-1-11
χ61111111111-1-1-1-111-111-1-1-111-1-1-1-1-1-11111-111-1
χ71111111111-1-1-1-111-1-1-111-1-1-1111111-1-1-1-1-111-1
χ81111111111-1-1-1-111-1-1-111-1-1-111-1-1-1-111111-1-11
χ91111-1-1-1-1-1-111-1-111-111111-1-1-1-111-1-111-1-111-1-1
χ101111-1-1-1-1-1-111-1-111-111111-1-1-1-1-1-111-1-111-1-111
χ111111-1-1-1-1-1-111-1-111-1-1-1-1-11111111-1-111-1-1-1-111
χ121111-1-1-1-1-1-111-1-111-1-1-1-1-111111-1-111-1-11111-1-1
χ131111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-1-1-1111-11-1
χ141111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-11111-1-1-11-11
χ151111-1-1-1-1-1-1-1-111111-1-111-111-1-111-1-1-1-111-11-11
χ161111-1-1-1-1-1-1-1-111111-1-111-111-1-1-1-11111-1-11-11-1
χ1722222222-2-22222-2-2-20000-20000000000000000
χ1822222222-2-2-2-2-2-2-2-22000020000000000000000
χ192222-2-2-2-22222-2-2-2-220000-20000000000000000
χ202222-2-2-2-222-2-222-2-2-2000020000000000000000
χ2122-2-22i2i−2i−2i002-22i−2i0000000000002−2i2−i22−2i2−i20000
χ2222-2-22i2i−2i−2i002-22i−2i000000000000−22−i2i2−22−i2i20000
χ2322-2-22i2i−2i−2i00-22−2i2i0000000000002−2i2−i2−22−i2i20000
χ2422-2-22i2i−2i−2i00-22−2i2i000000000000−22−i2i22−2i2−i20000
χ2522-2-2−2i−2i2i2i002-2−2i2i0000000000002−2−i2i22−2−i2i20000
χ2622-2-2−2i−2i2i2i002-2−2i2i000000000000−22i2−i2−22i2−i20000
χ2722-2-2−2i−2i2i2i00-222i−2i0000000000002−2−i2i2−22i2−i20000
χ2822-2-2−2i−2i2i2i00-222i−2i000000000000−22i2−i22−2−i2i20000
χ292-2-222-22-22-200002-20002-20002-2000000000000
χ302-2-222-22-22-200002-2000-22000-22000000000000
χ312-2-222-22-2-220000-2202-20002-200000000000000
χ322-2-222-22-2-220000-220-22000-2200000000000000
χ332-2-22-22-222-20000-2202-2000-2200000000000000
χ342-2-22-22-222-20000-220-220002-200000000000000
χ352-2-22-22-22-2200002-20002-2000-22000000000000
χ362-2-22-22-22-2200002-2000-220002-2000000000000
χ374-44-44i−4i−4i4i000000000000000000000000000000
χ384-44-4−4i4i4i−4i000000000000000000000000000000

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