Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃×C₁₈

Direct product G=N×Q with N=C₂³ and Q=C₃×C₁₈

		d	ρ	Label	ID
C₂²×C₆×C₁₈		432		C2^2xC6xC18	432,562

Semidirect products G=N:Q with N=C₂³ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	Label	ID
C₂³⋊₁(C₃×C₁₈) = A₄×C₂×C₁₈	φ: C₃×C₁₈/C₁₈ → C₃ ⊆ Aut C₂³	108	C2^3:1(C3xC18)	432,546
C₂³⋊₂(C₃×C₁₈) = C₂×C₆×C₃.A₄	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Aut C₂³	108	C2^3:2(C3xC18)	432,548
C₂³⋊₃(C₃×C₁₈) = D₄×C₃×C₁₈	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂³	216	C2^3:3(C3xC18)	432,403

Non-split extensions G=N.Q with N=C₂³ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₃×C₁₈) = A₄×C₃₆	φ: C₃×C₁₈/C₁₈ → C₃ ⊆ Aut C₂³	108	3	C2^3.1(C3xC18)	432,325
C₂³.₂(C₃×C₁₈) = C₁₂×C₃.A₄	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Aut C₂³	108		C2^3.2(C3xC18)	432,331
C₂³.₃(C₃×C₁₈) = C₂²⋊C₄×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂³	216		C2^3.3(C3xC18)	432,203

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Extensions 1→N→G→Q→1 with N=C23 and Q=C3×C18