Extensions 1→N→G→Q→1 with N=C₂×C₄₂ and Q=C₂

Direct product G=N×Q with N=C₂×C₄₂ and Q=C₂

		d	ρ	Label	ID
C₂²×C₄₂		168		C2^2xC42	168,57

Semidirect products G=N:Q with N=C₂×C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₂)⋊₁C₂ = D₄×C₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	84	2	(C2xC42):1C2	168,40
(C₂×C₄₂)⋊₂C₂ = C₂₁⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	84	2	(C2xC42):2C2	168,38
(C₂×C₄₂)⋊₃C₂ = C₂²×D₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	84		(C2xC42):3C2	168,56
(C₂×C₄₂)⋊₄C₂ = C₃×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	84	2	(C2xC42):4C2	168,28
(C₂×C₄₂)⋊₅C₂ = C₂×C₆×D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	84		(C2xC42):5C2	168,54
(C₂×C₄₂)⋊₆C₂ = C₇×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	84	2	(C2xC42):6C2	168,33
(C₂×C₄₂)⋊₇C₂ = S₃×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	84		(C2xC42):7C2	168,55

Non-split extensions G=N.Q with N=C₂×C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₂).₁C₂ = C₂×Dic₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	168		(C2xC42).1C2	168,37
(C₂×C₄₂).₂C₂ = C₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	168		(C2xC42).2C2	168,27
(C₂×C₄₂).₃C₂ = Dic₃×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₄₂	168		(C2xC42).3C2	168,32

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