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

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

		d	ρ	Label	ID
A₄×C₃×C₉		108		A4xC3xC9	324,126

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁A₄ = C₆².₁₃C₃²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):1A4	324,49
(C₃×C₉)⋊₂A₄ = C₆².₁₄C₃²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):2A4	324,50
(C₃×C₉)⋊₃A₄ = C₆².₁₆C₃²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	108		(C3xC9):3A4	324,52
(C₃×C₉)⋊₄A₄ = C₃×C₉⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	108		(C3xC9):4A4	324,127
(C₃×C₉)⋊₅A₄ = C₆².₂₅C₃²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):5A4	324,128

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁A₄ = C₆².₁₁C₃²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	162		(C3xC9).1A4	324,47
(C₃×C₉).₂A₄ = C₆².₁₅C₃²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9).2A4	324,51
(C₃×C₉).₃A₄ = C₆².C₉	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9).3A4	324,45
(C₃×C₉).₄A₄ = C₆².₁₂C₃²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₉	162		(C3xC9).4A4	324,48
(C₃×C₉).₅A₄ = C₃×C₉.A₄	central extension (φ=1)	162		(C3xC9).5A4	324,44
(C₃×C₉).₆A₄ = C₉×C₃.A₄	central extension (φ=1)	162		(C3xC9).6A4	324,46

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