Extensions 1→N→G→Q→1 with N=C₃×Dic₃ and Q=C₂²

Direct product G=N×Q with N=C₃×Dic₃ and Q=C₂²

		d	ρ	Label	ID
Dic₃×C₂×C₆		48		Dic3xC2xC6	144,166

Semidirect products G=N:Q with N=C₃×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁C₂² = S₃×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₃	24	4	(C3xDic3):1C2^2	144,153
(C₃×Dic₃)⋊₂C₂² = Dic₃⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₃	12	4+	(C3xDic3):2C2^2	144,154
(C₃×Dic₃)⋊₃C₂² = S₃×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24	4+	(C3xDic3):3C2^2	144,144
(C₃×Dic₃)⋊₄C₂² = C₂×C₃⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24		(C3xDic3):4C2^2	144,151
(C₃×Dic₃)⋊₅C₂² = C₄×S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3):5C2^2	144,143
(C₃×Dic₃)⋊₆C₂² = C₂×S₃×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	48		(C3xDic3):6C2^2	144,146
(C₃×Dic₃)⋊₇C₂² = C₂×C₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24		(C3xDic3):7C2^2	144,149
(C₃×Dic₃)⋊₈C₂² = C₃×S₃×D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3):8C2^2	144,162
(C₃×Dic₃)⋊₉C₂² = C₆×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24		(C3xDic3):9C2^2	144,167
(C₃×Dic₃)⋊₁₀C₂² = S₃×C₂×C₁₂	φ: trivial image	48		(C3xDic3):10C2^2	144,159

Non-split extensions G=N.Q with N=C₃×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁C₂² = S₃×Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₃	48	4-	(C3xDic3).1C2^2	144,137
(C₃×Dic₃).₂C₂² = D₁₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₃	24	4	(C3xDic3).2C2^2	144,139
(C₃×Dic₃).₃C₂² = Dic₃.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₃	24	4	(C3xDic3).3C2^2	144,140
(C₃×Dic₃).₄C₂² = D₆.₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₃	24	4+	(C3xDic3).4C2^2	144,142
(C₃×Dic₃).₅C₂² = D₆.₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₃	24	4-	(C3xDic3).5C2^2	144,148
(C₃×Dic₃).₆C₂² = D₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3).6C2^2	144,141
(C₃×Dic₃).₇C₂² = C₂×C₃²⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	48		(C3xDic3).7C2^2	144,152
(C₃×Dic₃).₈C₂² = D₁₂⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	48	4-	(C3xDic3).8C2^2	144,138
(C₃×Dic₃).₉C₂² = D₆.₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3).9C2^2	144,147
(C₃×Dic₃).₁₀C₂² = C₆×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	48		(C3xDic3).10C2^2	144,158
(C₃×Dic₃).₁₁C₂² = C₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	24	2	(C3xDic3).11C2^2	144,161
(C₃×Dic₃).₁₂C₂² = C₃×S₃×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₃	48	4	(C3xDic3).12C2^2	144,164
(C₃×Dic₃).₁₃C₂² = C₃×D₄⋊₂S₃	φ: trivial image	24	4	(C3xDic3).13C2^2	144,163
(C₃×Dic₃).₁₄C₂² = C₃×Q₈⋊₃S₃	φ: trivial image	48	4	(C3xDic3).14C2^2	144,165

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