Finite Group Databasebeta

← Group #2195

Character table — Group #2195

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23
size1122222444444488888881616
order12244882481616161624448161648
χ111111111111111111111111
χ211111111111111-1-1-1-1111-1-1
χ31111111111-1-1-1-111111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-11-1-111
χ51111111-1-11111111-1-1-1-1-1-11
χ61111111-1-111111-1-111-1-1-11-1
χ71111111-1-11-1-1-1-111-1-1-1111-1
χ81111111-1-11-1-1-1-1-1-111-111-11
χ922222-2-222-200000000-20000
χ1022222-2-2-2-2-20000000020000
χ1122-22-2002-2022−2−2000002−200
χ1222-22-2002-20−2−22200000−2200
χ1322-22-200-22022−2−200000−2200
χ1422-22-200-220−2−222000002−200
χ1522-2-222200-200002-20000000
χ1622-2-222200-20000-220000000
χ1722-2-22-2-20020000002-200000
χ1822-2-22-2-2002000000-2200000
χ19444-4-4000000000000000000
χ204-400022−22000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7000000000
χ214-400022−22000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7000000000
χ224-4000−2222000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7000000000
χ234-4000−2222000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1).