Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×C₃²⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₄×C₃²⋊C₄

		d	ρ	Label	ID
C₁₂×C₃²⋊C₄		48	4	C12xC3^2:C4	432,630

Semidirect products G=N:Q with N=C₃ and Q=C₄×C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×C₃²⋊C₄) = C₄×C₃³⋊C₄	φ: C₄×C₃²⋊C₄/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:1(C4xC3^2:C4)	432,637
C₃⋊₂(C₄×C₃²⋊C₄) = Dic₃×C₃²⋊C₄	φ: C₄×C₃²⋊C₄/C₂×C₃²⋊C₄ → C₂ ⊆ Aut C₃	48	8-	C3:2(C4xC3^2:C4)	432,567

Non-split extensions G=N.Q with N=C₃ and Q=C₄×C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×C₃²⋊C₄) = C₄×He₃⋊C₄	central stem extension (φ=1)	72	3	C3.(C4xC3^2:C4)	432,275

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Extensions 1→N→G→Q→1 with N=C3 and Q=C4×C32⋊C4