Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₃²xC₆

Direct product G=NxQ with N=C₂xC₄ and Q=C₃²xC₆

		d	ρ	Label	ID
C₆²xC₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₃²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁(C₃²xC₆) = C₂²:C₄xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂xC₄	216		(C2xC4):1(C3^2xC6)	432,513
(C₂xC₄):₂(C₃²xC₆) = D₄xC₃²xC₆	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂xC₄	216		(C2xC4):2(C3^2xC6)	432,731
(C₂xC₄):₃(C₃²xC₆) = C₄oD₄xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂xC₄	216		(C2xC4):3(C3^2xC6)	432,733

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₃²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁(C₃²xC₆) = C₄:C₄xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂xC₄	432		(C2xC4).1(C3^2xC6)	432,514
(C₂xC₄).₂(C₃²xC₆) = M₄(2)xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂xC₄	216		(C2xC4).2(C3^2xC6)	432,516
(C₂xC₄).₃(C₃²xC₆) = Q₈xC₃²xC₆	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂xC₄	432		(C2xC4).3(C3^2xC6)	432,732

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