Finite Group Databasebeta

← Group #3147

Character table — Group #3147

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111222222222222222222222222222288888888
order12224444224444444444888888888888888822224444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ61111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ71111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ81111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-111-1
χ91111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ121111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ141111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-111-11-1
χ151111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ161111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ1722222222-2-222-2-222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-222-2-2000000000000000000000000
χ192222-2-2-2-22222-2-2-2-222-2-2000000000000000000000000
χ202222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000
χ2122-2-22i2i−2i−2i00002-2002i−2i0022−2−2i2i2−i2−i222−2−2i2i2−i2−i200000000
χ2222-2-22i2i−2i−2i00002-2002i−2i00−2−222−i2−i2i2i2−2−222−i2−i2i2i200000000
χ2322-2-22i2i−2i−2i0000-2200−2i2i0022−2−2i2i2−i2−i2−2−222−i2−i2i2i200000000
χ2422-2-22i2i−2i−2i0000-2200−2i2i00−2−222−i2−i2i2i222−2−2i2i2−i2−i200000000
χ2522-2-2−2i−2i2i2i00002-200−2i2i0022−2−2−i2−i2i2i222−2−2−i2−i2i2i200000000
χ2622-2-2−2i−2i2i2i00002-200−2i2i00−2−222i2i2−i2−i2−2−222i2i2−i2−i200000000
χ2722-2-2−2i−2i2i2i0000-22002i−2i0022−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000
χ2822-2-2−2i−2i2i2i0000-22002i−2i00−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000
χ292-22-22i−2i2i−2i002-2002i−2i00002−22−2i2−i2i2−i22−22−2i2−i2i2−i200000000
χ302-22-22i−2i2i−2i002-2002i−2i0000−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000
χ312-22-22i−2i2i−2i00-2200−2i2i00002−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000
χ322-22-22i−2i2i−2i00-2200−2i2i0000−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000
χ332-22-2−2i2i−2i2i002-200−2i2i00002−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000
χ342-22-2−2i2i−2i2i002-200−2i2i0000−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000
χ352-22-2−2i2i−2i2i00-22002i−2i00002−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000
χ362-22-2−2i2i−2i2i00-22002i−2i0000−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000
χ372-2-222-2-222-2000000002-2000000002-2-222-2-2200000000
χ382-2-222-2-222-2000000002-200000000-222-2-222-200000000
χ392-2-222-2-22-2200000000-222-2-222-2-220000000000000000
χ402-2-222-2-22-2200000000-22-222-2-222-20000000000000000
χ412-2-22-222-22-200000000-222-2-22-222-20000000000000000
χ422-2-22-222-22-200000000-22-222-22-2-220000000000000000
χ432-2-22-222-2-22000000002-2000000002-2-22-222-200000000
χ442-2-22-222-2-22000000002-200000000-222-22-2-2200000000

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