Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃xQ₈

Direct product G=NxQ with N=C₄ and Q=C₃xQ₈

		d	ρ	Label	ID
Q₈xC₁₂		96		Q8xC12	96,166

Semidirect products G=N:Q with N=C₄ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₃xQ₈) = C₃xC₄:Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₄	96		C4:(C3xQ8)	96,175

Non-split extensions G=N.Q with N=C₄ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₃xQ₈) = C₃xC₄.Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₄	96		C4.1(C3xQ8)	96,56
C₄.₂(C₃xQ₈) = C₃xC₂.D₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₄	96		C4.2(C3xQ8)	96,57
C₄.₃(C₃xQ₈) = C₃xC₄².C₂	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₄	96		C4.3(C3xQ8)	96,172
C₄.₄(C₃xQ₈) = C₃xC₄:C₈	central extension (φ=1)	96		C4.4(C3xQ8)	96,55

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