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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁C₃₈ = D₄×C₅₇	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₆	228	2	(C2xC6):1C38	456,40
(C₂×C₆)⋊₂C₃₈ = C₁₉×C₃⋊D₄	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₆	228	2	(C2xC6):2C38	456,33
(C₂×C₆)⋊₃C₃₈ = S₃×C₂×C₃₈	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₆	228		(C2xC6):3C38	456,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₃₈ = Dic₃×C₃₈	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₆	456		(C2xC6).C38	456,32

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