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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₃₈) = D₄×C₃₈	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₄	152		C4:(C2xC38)	304,38

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₃₈) = D₈×C₁₉	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₄	152	2	C4.1(C2xC38)	304,24
C₄.₂(C₂×C₃₈) = SD₁₆×C₁₉	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₄	152	2	C4.2(C2xC38)	304,25
C₄.₃(C₂×C₃₈) = Q₁₆×C₁₉	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₄	304	2	C4.3(C2xC38)	304,26
C₄.₄(C₂×C₃₈) = Q₈×C₃₈	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₄	304		C4.4(C2xC38)	304,39
C₄.₅(C₂×C₃₈) = C₄○D₄×C₁₉	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₄	152	2	C4.5(C2xC38)	304,40
C₄.₆(C₂×C₃₈) = M₄(2)×C₁₉	central extension (φ=1)	152	2	C4.6(C2xC38)	304,23

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