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
C₃×C₄⋊(C₃²⋊C₄)		48	4	C3xC4:(C3^2:C4)	432,631

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)) = C₃³⋊₉(C₄⋊C₄)	φ: C₄⋊(C₃²⋊C₄)/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:1(C4:(C3^2:C4))	432,638
C₃⋊₂(C₄⋊(C₃²⋊C₄)) = C₃³⋊(C₄⋊C₄)	φ: C₄⋊(C₃²⋊C₄)/C₂×C₃²⋊C₄ → C₂ ⊆ Aut C₃	48	8-	C3:2(C4:(C3^2:C4))	432,569

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	6	C3.(C4:(C3^2:C4))	432,276

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