Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄₂

Direct product G=N×Q with N=C₂³ and Q=C₄₂

		d	ρ	Label	ID
C₂³×C₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₂³ and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₄₂ = C₆×F₈	φ: C₄₂/C₆ → C₇ ⊆ Aut C₂³	42	7	C2^3:C42	336,213
C₂³⋊₂C₄₂ = A₄×C₂×C₁₄	φ: C₄₂/C₁₄ → C₃ ⊆ Aut C₂³	84		C2^3:2C42	336,221
C₂³⋊₃C₄₂ = D₄×C₄₂	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3:3C42	336,205

Non-split extensions G=N.Q with N=C₂³ and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₄₂ = A₄×C₂₈	φ: C₄₂/C₁₄ → C₃ ⊆ Aut C₂³	84	3	C2^3.C42	336,168
C₂³.₂C₄₂ = C₂²⋊C₄×C₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3.2C42	336,107

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Extensions 1→N→G→Q→1 with N=C23 and Q=C42