Finite Group Databasebeta

← Group #1968

Character table — Group #1968

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111222222222222222222222222222288888888
order12222222444444444444888888888888888822444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111-1-1-1-11iiii−i−i−i−i1-11-1iiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-1
χ10111-1-1-1-11iiii−i−i−i−i1-11-1iiii−i−i−i−i1111-1-1-1-1-11−ii−ii-11
χ11111-1-1-1-11iiii−i−i−i−i1-11-1−i−i−i−iiiii-1-1-1-111111-1i−i−ii-11
χ12111-1-1-1-11iiii−i−i−i−i1-11-1−i−i−i−iiiii-1-1-1-11111-11−iii−i1-1
χ13111-1-1-1-11−i−i−i−iiiii1-11-1iiii−i−i−i−i-1-1-1-111111-1−iii−i-11
χ14111-1-1-1-11−i−i−i−iiiii1-11-1iiii−i−i−i−i-1-1-1-11111-11i−i−ii1-1
χ15111-1-1-1-11−i−i−i−iiiii1-11-1−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-1
χ16111-1-1-1-11−i−i−i−iiiii1-11-1−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-11
χ172222222222-2-222-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-222-2-222-2-2-2-2000000000000000000000000
χ19222-2-2-2-222i2i−2i−2i−2i−2i2i2i-22-22000000000000000000000000
χ20222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-22-22000000000000000000000000
χ2122-22-22-2-2002i−2i002i−2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000
χ2222-22-22-2-2002i−2i002i−2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000
χ2322-22-22-2-200−2i2i00−2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000
χ2422-22-22-2-200−2i2i00−2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000
χ2522-2-22-22-2002-200-220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ2622-2-22-22-2002-200-220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ2722-2-22-22-200-22002-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ2822-2-22-22-200-22002-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ292-222-2-22-22-2002-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ302-222-2-22-22-2002-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ312-222-2-22-2-2200-22000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ322-222-2-22-2-2200-22000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ332-22-222-2-22i−2i00−2i2i0000002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000
χ342-22-222-2-22i−2i00−2i2i000000−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000
χ352-22-222-2-2−2i2i002i−2i0000002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000
χ362-22-222-2-2−2i2i002i−2i000000−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000
χ372-2-222-2-220000000022-2-22i−2i−2i2i2i−2i−2i2i0000000000000000
χ382-2-222-2-220000000022-2-2−2i2i2i−2i−2i2i2i−2i0000000000000000
χ392-2-222-2-2200000000-2-222000000002-2-222-2-2200000000
χ402-2-222-2-2200000000-2-22200000000-222-2-222-200000000
χ412-2-2-2-2222000000002-2-222-2-22-222-20000000000000000
χ422-2-2-2-2222000000002-2-22-222-22-2-220000000000000000
χ432-2-2-2-222200000000-222-2000000002-2-22-222-200000000
χ442-2-2-2-222200000000-222-200000000-222-22-2-2200000000

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