Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃.A₄

Direct product G=N×Q with N=C₃ and Q=Dic₃.A₄

		d	ρ	Label	ID
C₃×Dic₃.A₄		48	4	C3xDic3.A4	432,622

Semidirect products G=N:Q with N=C₃ and Q=Dic₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(Dic₃.A₄) = C₃⋊Dic₃.₂A₄	φ: Dic₃.A₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144		C3:(Dic3.A4)	432,625

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃.A₄) = Dic₉.A₄	φ: Dic₃.A₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	12+	C3.1(Dic3.A4)	432,261
C₃.₂(Dic₃.A₄) = Dic₉.₂A₄	φ: Dic₃.A₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	4+	C3.2(Dic3.A4)	432,262
C₃.₃(Dic₃.A₄) = C₆.(S₃×A₄)	φ: Dic₃.A₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	72	12+	C3.3(Dic3.A4)	432,269
C₃.₄(Dic₃.A₄) = Q₈⋊C₉⋊₃S₃	central extension (φ=1)	144	4	C3.4(Dic3.A4)	432,267

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