Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆×C₁₈

Direct product G=N×Q with N=C₂² and Q=C₆×C₁₈

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

Semidirect products G=N:Q with N=C₂² and Q=C₆×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₆×C₁₈) = A₄×C₂×C₁₈	φ: C₆×C₁₈/C₂×C₁₈ → C₃ ⊆ Aut C₂²	108		C2^2:1(C6xC18)	432,546
C₂²⋊₂(C₆×C₁₈) = C₂×C₆×C₃.A₄	φ: C₆×C₁₈/C₆² → C₃ ⊆ Aut C₂²	108		C2^2:2(C6xC18)	432,548
C₂²⋊₃(C₆×C₁₈) = D₄×C₃×C₁₈	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₂²	216		C2^2:3(C6xC18)	432,403

Non-split extensions G=N.Q with N=C₂² and Q=C₆×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₆×C₁₈) = C₄○D₄×C₃×C₉	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₂²	216		C2^2.(C6xC18)	432,409
C₂².₂(C₆×C₁₈) = C₂²⋊C₄×C₃×C₉	central extension (φ=1)	216		C2^2.2(C6xC18)	432,203
C₂².₃(C₆×C₁₈) = C₄⋊C₄×C₃×C₉	central extension (φ=1)	432		C2^2.3(C6xC18)	432,206
C₂².₄(C₆×C₁₈) = Q₈×C₃×C₁₈	central extension (φ=1)	432		C2^2.4(C6xC18)	432,406

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