Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂xC₁₂

Direct product G=NxQ with N=C₃² and Q=C₂xC₁₂

		d	ρ	Label	ID
C₃xC₆xC₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₃² and Q=C₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(C₂xC₁₂) = C₄xC₃²:C₆	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₃²	36	6	C3^2:1(C2xC12)	216,50
C₃²:₂(C₂xC₁₂) = C₂xC₃²:C₁₂	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₃²	72		C3^2:2(C2xC12)	216,59
C₃²:₃(C₂xC₁₂) = C₆xC₃²:C₄	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃²	24	4	C3^2:3(C2xC12)	216,168
C₃²:₄(C₂xC₁₂) = C₃xS₃xDic₃	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃²	24	4	C3^2:4(C2xC12)	216,119
C₃²:₅(C₂xC₁₂) = C₃xC₆.D₆	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃²	24	4	C3^2:5(C2xC12)	216,120
C₃²:₆(C₂xC₁₂) = C₂xC₄xHe₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃²	72		C3^2:6(C2xC12)	216,74
C₃²:₇(C₂xC₁₂) = S₃xC₃xC₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:7(C2xC12)	216,136
C₃²:₈(C₂xC₁₂) = C₁₂xC₃:S₃	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:8(C2xC12)	216,141
C₃²:₉(C₂xC₁₂) = Dic₃xC₃xC₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃²	72		C3^2:9(C2xC12)	216,138
C₃²:₁₀(C₂xC₁₂) = C₆xC₃:Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃²	72		C3^2:10(C2xC12)	216,143

Non-split extensions G=N.Q with N=C₃² and Q=C₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂xC₁₂) = C₂xC₄x3_-¹⁺²	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃²	72		C3^2.(C2xC12)	216,75
C₃².₂(C₂xC₁₂) = S₃xC₃₆	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.2(C2xC12)	216,47
C₃².₃(C₂xC₁₂) = Dic₃xC₁₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃²	72		C3^2.3(C2xC12)	216,56

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