Extensions 1→N→G→Q→1 with N=D₆ and Q=C₃₈

Direct product G=N×Q with N=D₆ and Q=C₃₈

		d	ρ	Label	ID
S₃×C₂×C₃₈		228		S3xC2xC38	456,52

Semidirect products G=N:Q with N=D₆ and Q=C₃₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₃₈ = C₁₉×D₁₂	φ: C₃₈/C₁₉ → C₂ ⊆ Out D₆	228	2	D6:1C38	456,31
D₆⋊₂C₃₈ = C₁₉×C₃⋊D₄	φ: C₃₈/C₁₉ → C₂ ⊆ Out D₆	228	2	D6:2C38	456,33

Non-split extensions G=N.Q with N=D₆ and Q=C₃₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.C₃₈ = S₃×C₇₆	φ: trivial image	228	2	D6.C38	456,30

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Extensions 1→N→G→Q→1 with N=D6 and Q=C38