Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×Q₈

Direct product G=N×Q with N=C₄ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₁₂		96		Q8xC12	96,166

Semidirect products G=N:Q with N=C₄ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×Q₈) = C₃×C₄⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₄	96		C4:(C3xQ8)	96,175

Non-split extensions G=N.Q with N=C₄ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(C₃×Q₈) = C₃×C₄.Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₄	96	C4.1(C3xQ8)	96,56
C₄.₂(C₃×Q₈) = C₃×C₂.D₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₄	96	C4.2(C3xQ8)	96,57
C₄.₃(C₃×Q₈) = C₃×C₄².C₂	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₄	96	C4.3(C3xQ8)	96,172
C₄.₄(C₃×Q₈) = C₃×C₄⋊C₈	central extension (φ=1)	96	C4.4(C3xQ8)	96,55

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×Q8