Extensions 1→N→G→Q→1 with N=C₂×C₃₈ and Q=C₆

Direct product G=N×Q with N=C₂×C₃₈ and Q=C₆

		d	ρ	Label	ID
C₂²×C₁₁₄		456		C2^2xC114	456,54

Semidirect products G=N:Q with N=C₂×C₃₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₃₈)⋊₁C₆ = A₄×D₁₉	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₃₈	76	6+	(C2xC38):1C6	456,45
(C₂×C₃₈)⋊₂C₆ = D₁₉⋊A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₃₈	76	6+	(C2xC38):2C6	456,46
(C₂×C₃₈)⋊₃C₆ = D₃₈⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₃₈	76	6	(C2xC38):3C6	456,11
(C₂×C₃₈)⋊₄C₆ = C₂²×C₁₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₃₈	76		(C2xC38):4C6	456,44
(C₂×C₃₈)⋊₅C₆ = D₄×C₁₉⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₃₈	76	6	(C2xC38):5C6	456,20
(C₂×C₃₈)⋊₆C₆ = A₄×C₃₈	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₃₈	114	3	(C2xC38):6C6	456,49
(C₂×C₃₈)⋊₇C₆ = C₂×C₁₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₃₈	114	3	(C2xC38):7C6	456,50
(C₂×C₃₈)⋊₈C₆ = C₂³×C₁₉⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₃₈	152		(C2xC38):8C6	456,48
(C₂×C₃₈)⋊₉C₆ = D₄×C₅₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₃₈	228	2	(C2xC38):9C6	456,40
(C₂×C₃₈)⋊₁₀C₆ = C₃×C₁₉⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₃₈	228	2	(C2xC38):10C6	456,28
(C₂×C₃₈)⋊₁₁C₆ = C₂×C₆×D₁₉	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₃₈	228		(C2xC38):11C6	456,51

Non-split extensions G=N.Q with N=C₂×C₃₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₃₈).C₆ = C₂×C₁₉⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₃₈	152		(C2xC38).C6	456,10
(C₂×C₃₈).₂C₆ = C₂×C₄×C₁₉⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₃₈	152		(C2xC38).2C6	456,19
(C₂×C₃₈).₃C₆ = C₆×Dic₁₉	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₃₈	456		(C2xC38).3C6	456,27

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