Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃²⋊₄D₆

Direct product G=N×Q with N=C₄ and Q=C₃²⋊₄D₆

		d	ρ	Label	ID
C₄×C₃²⋊₄D₆		48	4	C4xC3^2:4D6	432,690

Semidirect products G=N:Q with N=C₄ and Q=C₃²⋊₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃²⋊₄D₆) = C₁₂⋊₃S₃²	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4:(C3^2:4D6)	432,691

Non-split extensions G=N.Q with N=C₄ and Q=C₃²⋊₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₃²⋊₄D₆) = C₃³⋊₉D₈	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.1(C3^2:4D6)	432,457
C₄.₂(C₃²⋊₄D₆) = C₃³⋊₁₈SD₁₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.2(C3^2:4D6)	432,458
C₄.₃(C₃²⋊₄D₆) = C₃³⋊₉Q₁₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.3(C3^2:4D6)	432,459
C₄.₄(C₃²⋊₄D₆) = C₃⋊S₃⋊₄Dic₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.4(C3^2:4D6)	432,687
C₄.₅(C₃²⋊₄D₆) = C₁₂⋊S₃⋊₁₂S₃	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.5(C3^2:4D6)	432,688
C₄.₆(C₃²⋊₄D₆) = C₁₂.₉₃S₃²	central extension (φ=1)	48	4	C4.6(C3^2:4D6)	432,455
C₄.₇(C₃²⋊₄D₆) = C₃³⋊₁₀M₄(2)	central extension (φ=1)	48	4	C4.7(C3^2:4D6)	432,456
C₄.₈(C₃²⋊₄D₆) = C₁₂.₉₅S₃²	central extension (φ=1)	48	4	C4.8(C3^2:4D6)	432,689

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