Extensions 1→N→G→Q→1 with N=C₃×C₃⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=C₃×C₃⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₆×C₃⋊Dic₃		72		C6xC3:Dic3	216,143

Semidirect products G=N:Q with N=C₃×C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊Dic₃)⋊₁C₂ = C₃×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3):1C2	216,119
(C₃×C₃⋊Dic₃)⋊₂C₂ = C₃³⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	36		(C3xC3:Dic3):2C2	216,128
(C₃×C₃⋊Dic₃)⋊₃C₂ = C₃³⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3):3C2	216,132
(C₃×C₃⋊Dic₃)⋊₄C₂ = S₃×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	72		(C3xC3:Dic3):4C2	216,124
(C₃×C₃⋊Dic₃)⋊₅C₂ = C₃³⋊₈(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	36		(C3xC3:Dic3):5C2	216,126
(C₃×C₃⋊Dic₃)⋊₆C₂ = C₃³⋊₉(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3):6C2	216,131
(C₃×C₃⋊Dic₃)⋊₇C₂ = C₃×D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3):7C2	216,121
(C₃×C₃⋊Dic₃)⋊₈C₂ = C₃×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	36		(C3xC3:Dic3):8C2	216,144
(C₃×C₃⋊Dic₃)⋊₉C₂ = C₁₂×C₃⋊S₃	φ: trivial image	72		(C3xC3:Dic3):9C2	216,141

Non-split extensions G=N.Q with N=C₃×C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊Dic₃).₁C₂ = C₃×C₃²⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3).1C2	216,117
(C₃×C₃⋊Dic₃).₂C₂ = C₃³⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	72		(C3xC3:Dic3).2C2	216,130
(C₃×C₃⋊Dic₃).₃C₂ = C₃³⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3).3C2	216,133
(C₃×C₃⋊Dic₃).₄C₂ = C₃³⋊₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3).4C2	216,118
(C₃×C₃⋊Dic₃).₅C₂ = C₃×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	24	4	(C3xC3:Dic3).5C2	216,123
(C₃×C₃⋊Dic₃).₆C₂ = C₃×C₃²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊Dic₃	72		(C3xC3:Dic3).6C2	216,140

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