Finite Group Databasebeta

← Group #962

Character table — Group #962

Order 96.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111122222244441111222222444411112222224444
order1222224444444436666612121212121212123666661212121212121212
χ1111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1
χ4111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11
χ51111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1
χ61111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-111
χ71111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-11
χ81111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-1
χ922-2-22-20000000022-2-22-20000000022-2-22-200000000
χ1022-2-2-220000000022-2-2-220000000022-2-2-2200000000
χ112-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i0000
χ122-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i0000
χ132-2-22002-20000002-2-22002-20000002-2-22002-2000000
χ142-2-2200-220000002-2-2200-220000002-2-2200-22000000
χ1511111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ161111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ17111111-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ18111111-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ191111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ201111-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ211111-1-1-1-1111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ221111-1-1-1-111-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ2322-2-22-200000000−1+i3−1+i31−i31−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i31+i300000000
χ2422-2-2-2200000000−1+i3−1+i31−i31−i31−i3−1+i300000000−1−i3−1−i31+i31+i31+i3−1−i300000000
χ252-22-200002i−2i0000−1+i31−i3−1+i31−i300002ζ7−2ζ70000−1−i31+i3−1−i31+i300002ζ11−2ζ110000
χ262-22-20000−2i2i0000−1+i31−i3−1+i31−i30000−2ζ72ζ70000−1−i31+i3−1−i31+i30000−2ζ112ζ110000
χ272-2-22002-2000000−1+i31−i31−i3−1+i300−1+i31−i3000000−1−i31+i31+i3−1−i300−1−i31+i3000000
χ282-2-2200-22000000−1+i31−i31−i3−1+i3001−i3−1+i3000000−1−i31+i31+i3−1−i3001+i3−1−i3000000
χ2911111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ301111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ31111111-1-1-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ32111111-1-1-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ331111-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ341111-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ351111-1-1-1-1111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ361111-1-1-1-111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ3722-2-22-200000000−1−i3−1−i31+i31+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i300000000
χ3822-2-2-2200000000−1−i3−1−i31+i31+i31+i3−1−i300000000−1+i3−1+i31−i31−i31−i3−1+i300000000
χ392-22-200002i−2i0000−1−i31+i3−1−i31+i300002ζ11−2ζ110000−1+i31−i3−1+i31−i300002ζ7−2ζ70000
χ402-22-20000−2i2i0000−1−i31+i3−1−i31+i30000−2ζ112ζ110000−1+i31−i3−1+i31−i30000−2ζ72ζ70000
χ412-2-22002-2000000−1−i31+i31+i3−1−i300−1−i31+i3000000−1+i31−i31−i3−1+i300−1+i31−i3000000
χ422-2-2200-22000000−1−i31+i31+i3−1−i3001+i3−1−i3000000−1+i31−i31−i3−1+i3001−i3−1+i3000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.