Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂xDic₃

Direct product G=NxQ with N=C₃² and Q=C₂xDic₃

		d	ρ	Label	ID
Dic₃xC₃xC₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₃² and Q=C₂xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₂xDic₃) = C₆.S₃²	φ: C₂xDic₃/C₂ → D₆ ⊆ Aut C₃²	36	6	C3^2:(C2xDic3)	216,34
C₃²:₂(C₂xDic₃) = C₂xC₃²:C₁₂	φ: C₂xDic₃/C₂² → S₃ ⊆ Aut C₃²	72		C3^2:2(C2xDic3)	216,59
C₃²:₃(C₂xDic₃) = C₂xHe₃:₃C₄	φ: C₂xDic₃/C₂² → S₃ ⊆ Aut C₃²	72		C3^2:3(C2xDic3)	216,71
C₃²:₄(C₂xDic₃) = C₂xC₃³:C₄	φ: C₂xDic₃/C₆ → C₄ ⊆ Aut C₃²	24	4	C3^2:4(C2xDic3)	216,169
C₃²:₅(C₂xDic₃) = S₃xC₃:Dic₃	φ: C₂xDic₃/C₆ → C₂² ⊆ Aut C₃²	72		C3^2:5(C2xDic3)	216,124
C₃²:₆(C₂xDic₃) = C₃³:₉(C₂xC₄)	φ: C₂xDic₃/C₆ → C₂² ⊆ Aut C₃²	24	4	C3^2:6(C2xDic3)	216,131
C₃²:₇(C₂xDic₃) = C₃xS₃xDic₃	φ: C₂xDic₃/Dic₃ → C₂ ⊆ Aut C₃²	24	4	C3^2:7(C2xDic3)	216,119
C₃²:₈(C₂xDic₃) = Dic₃xC₃:S₃	φ: C₂xDic₃/Dic₃ → C₂ ⊆ Aut C₃²	72		C3^2:8(C2xDic3)	216,125
C₃²:₉(C₂xDic₃) = C₆xC₃:Dic₃	φ: C₂xDic₃/C₂xC₆ → C₂ ⊆ Aut C₃²	72		C3^2:9(C2xDic3)	216,143
C₃²:₁₀(C₂xDic₃) = C₂xC₃³:₅C₄	φ: C₂xDic₃/C₂xC₆ → C₂ ⊆ Aut C₃²	216		C3^2:10(C2xDic3)	216,148

Non-split extensions G=N.Q with N=C₃² and Q=C₂xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂xDic₃) = C₂xC₉:C₁₂	φ: C₂xDic₃/C₂² → S₃ ⊆ Aut C₃²	72		C3^2.(C2xDic3)	216,61
C₃².₂(C₂xDic₃) = S₃xDic₉	φ: C₂xDic₃/C₆ → C₂² ⊆ Aut C₃²	72	4-	C3^2.2(C2xDic3)	216,30
C₃².₃(C₂xDic₃) = C₆xDic₉	φ: C₂xDic₃/C₂xC₆ → C₂ ⊆ Aut C₃²	72		C3^2.3(C2xDic3)	216,55
C₃².₄(C₂xDic₃) = C₂xC₉:Dic₃	φ: C₂xDic₃/C₂xC₆ → C₂ ⊆ Aut C₃²	216		C3^2.4(C2xDic3)	216,69

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