Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₁₂

Direct product G=NxQ with N=C₂³ and Q=C₁₂

		d	ρ	Label	ID
C₂³xC₁₂		96		C2^3xC12	96,220

Semidirect products G=N:Q with N=C₂³ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:C₁₂ = C₃xC₂³:C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂³	24	4	C2^3:C12	96,49
C₂³:₂C₁₂ = C₂xC₄xA₄	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂³	24		C2^3:2C12	96,196
C₂³:₃C₁₂ = C₆xC₂²:C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂³	48		C2^3:3C12	96,162

Non-split extensions G=N.Q with N=C₂³ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₁₂ = C₃xC₄.D₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂³	24	4	C2^3.C12	96,50
C₂³.₂C₁₂ = C₈xA₄	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂³	24	3	C2^3.2C12	96,73
C₂³.₃C₁₂ = C₃xC₂²:C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.3C12	96,48
C₂³.₄C₁₂ = C₆xM₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.4C12	96,177

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