Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₁₈

Direct product G=N×Q with N=C₂² and Q=C₂×C₁₈

		d	ρ	Label	ID
C₂³×C₁₈		144		C2^3xC18	144,113

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₁₈) = C₂²×C₃.A₄	φ: C₂×C₁₈/C₂×C₆ → C₃ ⊆ Aut C₂²	36		C2^2:(C2xC18)	144,110
C₂²⋊₂(C₂×C₁₈) = D₄×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:2(C2xC18)	144,48

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₁₈) = C₉×C₄○D₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₂²	72	2	C2^2.(C2xC18)	144,50
C₂².₂(C₂×C₁₈) = C₉×C₂²⋊C₄	central extension (φ=1)	72		C2^2.2(C2xC18)	144,21
C₂².₃(C₂×C₁₈) = C₉×C₄⋊C₄	central extension (φ=1)	144		C2^2.3(C2xC18)	144,22
C₂².₄(C₂×C₁₈) = Q₈×C₁₈	central extension (φ=1)	144		C2^2.4(C2xC18)	144,49

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