Extensions 1→N→G→Q→1 with N=C₃xC₃:Dic₃ and Q=C₂

Direct product G=NxQ with N=C₃xC₃:Dic₃ and Q=C₂

		d	ρ	Label	ID
C₆xC₃:Dic₃		72		C6xC3:Dic3	216,143

Semidirect products G=N:Q with N=C₃xC₃:Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:Dic₃):₁C₂ = C₃xS₃xDic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3):1C2	216,119
(C₃xC₃:Dic₃):₂C₂ = C₃³:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	36		(C3xC3:Dic3):2C2	216,128
(C₃xC₃:Dic₃):₃C₂ = C₃³:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3):3C2	216,132
(C₃xC₃:Dic₃):₄C₂ = S₃xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	72		(C3xC3:Dic3):4C2	216,124
(C₃xC₃:Dic₃):₅C₂ = C₃³:₈(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	36		(C3xC3:Dic3):5C2	216,126
(C₃xC₃:Dic₃):₆C₂ = C₃³:₉(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3):6C2	216,131
(C₃xC₃:Dic₃):₇C₂ = C₃xD₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3):7C2	216,121
(C₃xC₃:Dic₃):₈C₂ = C₃xC₃²:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	36		(C3xC3:Dic3):8C2	216,144
(C₃xC₃:Dic₃):₉C₂ = C₁₂xC₃:S₃	φ: trivial image	72		(C3xC3:Dic3):9C2	216,141

Non-split extensions G=N.Q with N=C₃xC₃:Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:Dic₃).₁C₂ = C₃xC₃²:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3).1C2	216,117
(C₃xC₃:Dic₃).₂C₂ = C₃³:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	72		(C3xC3:Dic3).2C2	216,130
(C₃xC₃:Dic₃).₃C₂ = C₃³:₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3).3C2	216,133
(C₃xC₃:Dic₃).₄C₂ = C₃³:₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3).4C2	216,118
(C₃xC₃:Dic₃).₅C₂ = C₃xC₃²:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	24	4	(C3xC3:Dic3).5C2	216,123
(C₃xC₃:Dic₃).₆C₂ = C₃xC₃²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:Dic₃	72		(C3xC3:Dic3).6C2	216,140

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