Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃.A₄

Direct product G=N×Q with N=C₉ and Q=C₃.A₄

		d	ρ	Label	ID
C₉×C₃.A₄		162		C9xC3.A4	324,46

Semidirect products G=N:Q with N=C₉ and Q=C₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃.A₄) = C₆².₁₂C₃²	φ: C₃.A₄/C₂×C₆ → C₃ ⊆ Aut C₉	162		C9:(C3.A4)	324,48

Non-split extensions G=N.Q with N=C₉ and Q=C₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃.A₄) = C₆².C₉	φ: C₃.A₄/C₂×C₆ → C₃ ⊆ Aut C₉	54	3	C9.(C3.A4)	324,45
C₉.₂(C₃.A₄) = C₂₇.A₄	central extension (φ=1)	162	3	C9.2(C3.A4)	324,3
C₉.₃(C₃.A₄) = C₃×C₉.A₄	central extension (φ=1)	162		C9.3(C3.A4)	324,44

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Extensions 1→N→G→Q→1 with N=C9 and Q=C3.A4