Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₃₈

Direct product G=N×Q with N=C₂×C₄ and Q=C₃₈

		d	ρ	Label	ID
C₂²×C₇₆		304		C2^2xC76	304,37

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₃₈ = C₂²⋊C₄×C₁₉	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₄	152		(C2xC4):1C38	304,20
(C₂×C₄)⋊₂C₃₈ = D₄×C₃₈	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₄	152		(C2xC4):2C38	304,38
(C₂×C₄)⋊₃C₃₈ = C₄○D₄×C₁₉	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₄	152	2	(C2xC4):3C38	304,40

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₃₈ = C₄⋊C₄×C₁₉	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₄	304		(C2xC4).1C38	304,21
(C₂×C₄).₂C₃₈ = M₄(2)×C₁₉	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₄	152	2	(C2xC4).2C38	304,23
(C₂×C₄).₃C₃₈ = Q₈×C₃₈	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₂×C₄	304		(C2xC4).3C38	304,39

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C38