Extensions 1→N→G→Q→1 with N=C₄₂ and Q=Q₈

Direct product G=N×Q with N=C₄₂ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=C₄₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂⋊Q₈ = C₂×C₂₁⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₂	336		C42:Q8	336,160
C₄₂⋊₂Q₈ = C₂×Dic₄₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42:2Q8	336,194
C₄₂⋊₃Q₈ = C₆×Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42:3Q8	336,174
C₄₂⋊₄Q₈ = C₁₄×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42:4Q8	336,184

Non-split extensions G=N.Q with N=C₄₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂.₁Q₈ = C₄₂.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₂	336		C42.1Q8	336,45
C₄₂.₂Q₈ = Dic₂₁⋊C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₂	336		C42.2Q8	336,46
C₄₂.₃Q₈ = C₁₄.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₂	336		C42.3Q8	336,47
C₄₂.₄Q₈ = C₄₂.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42.4Q8	336,98
C₄₂.₅Q₈ = C₈₄⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42.5Q8	336,99
C₄₂.₆Q₈ = C₃×Dic₇⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42.6Q8	336,66
C₄₂.₇Q₈ = C₃×C₄⋊Dic₇	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42.7Q8	336,67
C₄₂.₈Q₈ = C₇×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42.8Q8	336,82
C₄₂.₉Q₈ = C₇×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₂	336		C42.9Q8	336,83
C₄₂.₁₀Q₈ = C₄⋊C₄×C₂₁	central extension (φ=1)	336		C42.10Q8	336,108

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