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
A₄×C₃×C₉		108		A4xC3xC9	324,126

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×A₄) = A₄×3_-¹⁺²	φ: C₃×A₄/A₄ → C₃ ⊆ Aut C₉	36	9	C9:1(C3xA4)	324,131
C₉⋊₂(C₃×A₄) = C₃×C₉⋊A₄	φ: C₃×A₄/C₂×C₆ → C₃ ⊆ Aut C₉	108		C9:2(C3xA4)	324,127

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) = C₆².₉C₃²	φ: C₃×A₄/A₄ → C₃ ⊆ Aut C₉	54	9	C9.(C3xA4)	324,132
C₉.₂(C₃×A₄) = A₄×C₂₇	central extension (φ=1)	108	3	C9.2(C3xA4)	324,42
C₉.₃(C₃×A₄) = C₂₇⋊A₄	central extension (φ=1)	108	3	C9.3(C3xA4)	324,43
C₉.₄(C₃×A₄) = C₃×C₉.A₄	central extension (φ=1)	162		C9.4(C3xA4)	324,44
C₉.₅(C₃×A₄) = C₆².C₉	central extension (φ=1)	54	3	C9.5(C3xA4)	324,45
C₉.₆(C₃×A₄) = C₆².₂₅C₃²	central extension (φ=1)	54	3	C9.6(C3xA4)	324,128

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