Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₁₈

Direct product G=N×Q with N=C₄ and Q=C₂×C₁₈

		d	ρ	Label	ID
C₂²×C₃₆		144		C2^2xC36	144,47

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₁₈) = D₄×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₄	72		C4:(C2xC18)	144,48

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₁₈) = C₉×D₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₄	72	2	C4.1(C2xC18)	144,25
C₄.₂(C₂×C₁₈) = C₉×SD₁₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₄	72	2	C4.2(C2xC18)	144,26
C₄.₃(C₂×C₁₈) = C₉×Q₁₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₄	144	2	C4.3(C2xC18)	144,27
C₄.₄(C₂×C₁₈) = Q₈×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₄	144		C4.4(C2xC18)	144,49
C₄.₅(C₂×C₁₈) = C₉×M₄(2)	central extension (φ=1)	72	2	C4.5(C2xC18)	144,24
C₄.₆(C₂×C₁₈) = C₉×C₄○D₄	central extension (φ=1)	72	2	C4.6(C2xC18)	144,50

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