Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=Dic₃

Direct product G=NxQ with N=C₃xC₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₃xC₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₃xC₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):₁Dic₃ = C₂xC₃²:C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6):1Dic3	216,59
(C₃xC₆):₂Dic₃ = C₂xHe₃:₃C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6):2Dic3	216,71
(C₃xC₆):₃Dic₃ = C₂xC₃³:C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6):3Dic3	216,169
(C₃xC₆):₄Dic₃ = C₆xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6):4Dic3	216,143
(C₃xC₆):₅Dic₃ = C₂xC₃³:₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6):5Dic3	216,148

Non-split extensions G=N.Q with N=C₃xC₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁Dic₃ = He₃:₃C₈	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).1Dic3	216,14
(C₃xC₆).₂Dic₃ = C₉:C₂₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).2Dic3	216,15
(C₃xC₆).₃Dic₃ = He₃:₄C₈	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃xC₆	72	3	(C3xC6).3Dic3	216,17
(C₃xC₆).₄Dic₃ = C₂xC₉:C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).4Dic3	216,61
(C₃xC₆).₅Dic₃ = C₃³:₄C₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).5Dic3	216,118
(C₃xC₆).₆Dic₃ = C₃xC₉:C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	72	2	(C3xC6).6Dic3	216,12
(C₃xC₆).₇Dic₃ = C₃₆.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).7Dic3	216,16
(C₃xC₆).₈Dic₃ = C₆xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).8Dic3	216,55
(C₃xC₆).₉Dic₃ = C₂xC₉:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).9Dic3	216,69
(C₃xC₆).₁₀Dic₃ = C₃xC₃²:₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).10Dic3	216,83
(C₃xC₆).₁₁Dic₃ = C₃³:₇C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).11Dic3	216,84
(C₃xC₆).₁₂Dic₃ = C₃²xC₃:C₈	central extension (φ=1)	72		(C3xC6).12Dic3	216,82

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