Finite Group Databasebeta

← Group #3035

Character table — Group #3035

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12224444224444442244444444888888882244
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-11-1
χ61111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11
χ71111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-11
χ81111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-11-1
χ91111-1-1-1-1-1-111-1-111111-111-1-1-1-111-1-111-1-111-1-1
χ101111-1-1-1-1-1-111-1-111111-111-1-1-1-1-1-111-1-111-1-111
χ111111-1-1-1-1-1-111-1-111-1-11-1-1-1111111-1-111-1-1-1-111
χ121111-1-1-1-1-1-111-1-111-1-11-1-1-11111-1-111-1-11111-1-1
χ131111-1-1-1-1-1-1-1-1111111-11-1-111-1-111-1-1-1-1111-1-11
χ141111-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-111-1
χ151111-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-1-111-111-1
χ161111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-11111-1-11-1-11
χ1722222222-2-22222-2-200-2-2000000000000000000
χ1822222222-2-2-2-2-2-2-2-20022000000000000000000
χ192222-2-2-2-22222-2-2-2-200-22000000000000000000
χ202222-2-2-2-222-2-222-2-2002-2000000000000000000
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
χ292-2-222-22-22-200002-200002i−2i2i−2i00000000000000
χ302-2-222-22-22-200002-20000−2i2i−2i2i00000000000000
χ312-2-222-22-2-220000-222-20000002-2000000000000
χ322-2-222-22-2-220000-22-22000000-22000000000000
χ332-2-22-22-222-20000-222-2000000-22000000000000
χ342-2-22-22-222-20000-22-220000002-2000000000000
χ352-2-22-22-22-2200002-200002i−2i−2i2i00000000000000
χ362-2-22-22-22-2200002-20000−2i2i2i−2i00000000000000
χ374-44-44i−4i−4i4i000000000000000000000000000000
χ384-44-4−4i4i4i−4i000000000000000000000000000000

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