Extensions 1→N→G→Q→1 with N=C₂×C₄₂ and Q=C₄

Direct product G=N×Q with N=C₂×C₄₂ and Q=C₄

		d	ρ	Label	ID
C₂²×C₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₂×C₄₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₂)⋊₁C₄ = C₂²⋊C₄×C₂₁	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168		(C2xC42):1C4	336,107
(C₂×C₄₂)⋊₂C₄ = C₄₂.₃₈D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168		(C2xC42):2C4	336,105
(C₂×C₄₂)⋊₃C₄ = C₂²×Dic₂₁	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	336		(C2xC42):3C4	336,202
(C₂×C₄₂)⋊₄C₄ = C₃×C₂³.D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168		(C2xC42):4C4	336,73
(C₂×C₄₂)⋊₅C₄ = C₂×C₆×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	336		(C2xC42):5C4	336,182
(C₂×C₄₂)⋊₆C₄ = C₇×C₆.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168		(C2xC42):6C4	336,89
(C₂×C₄₂)⋊₇C₄ = Dic₃×C₂×C₁₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	336		(C2xC42):7C4	336,192

Non-split extensions G=N.Q with N=C₂×C₄₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₂).₁C₄ = M₄(2)×C₂₁	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168	2	(C2xC42).1C4	336,110
(C₂×C₄₂).₂C₄ = C₂×C₂₁⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	336		(C2xC42).2C4	336,95
(C₂×C₄₂).₃C₄ = C₈₄.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168	2	(C2xC42).3C4	336,96
(C₂×C₄₂).₄C₄ = C₆×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	336		(C2xC42).4C4	336,63
(C₂×C₄₂).₅C₄ = C₃×C₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168	2	(C2xC42).5C4	336,64
(C₂×C₄₂).₆C₄ = C₁₄×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	336		(C2xC42).6C4	336,79
(C₂×C₄₂).₇C₄ = C₇×C₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₂	168	2	(C2xC42).7C4	336,80

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