Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=C₂²

Direct product G=N×Q with N=S₃×C₆ and Q=C₂²

		d	ρ	Label	ID
S₃×C₂²×C₆		48		S3xC2^2xC6	144,195

Semidirect products G=N:Q with N=S₃×C₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁C₂² = S₃×D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	24	4+	(S3xC6):1C2^2	144,144
(S₃×C₆)⋊₂C₂² = D₆⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	24	4	(S3xC6):2C2^2	144,145
(S₃×C₆)⋊₃C₂² = S₃×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	24	4	(S3xC6):3C2^2	144,153
(S₃×C₆)⋊₄C₂² = Dic₃⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	12	4+	(S3xC6):4C2^2	144,154
(S₃×C₆)⋊₅C₂² = C₂×D₆⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):5C2^2	144,150
(S₃×C₆)⋊₆C₂² = C₂×C₃⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24		(S3xC6):6C2^2	144,151
(S₃×C₆)⋊₇C₂² = C₆×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):7C2^2	144,160
(S₃×C₆)⋊₈C₂² = C₃×S₃×D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6):8C2^2	144,162
(S₃×C₆)⋊₉C₂² = C₆×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24		(S3xC6):9C2^2	144,167
(S₃×C₆)⋊₁₀C₂² = C₂²×S₃²	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24		(S3xC6):10C2^2	144,192

Non-split extensions G=N.Q with N=S₃×C₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁C₂² = D₁₂⋊₅S₃	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	48	4-	(S3xC6).1C2^2	144,138
(S₃×C₆).₂C₂² = D₁₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	24	4	(S3xC6).2C2^2	144,139
(S₃×C₆).₃C₂² = D₆.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	24	4	(S3xC6).3C2^2	144,147
(S₃×C₆).₄C₂² = D₆.₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₆	24	4-	(S3xC6).4C2^2	144,148
(S₃×C₆).₅C₂² = S₃×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	48	4-	(S3xC6).5C2^2	144,137
(S₃×C₆).₆C₂² = D₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6).6C2^2	144,141
(S₃×C₆).₇C₂² = D₆.₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24	4+	(S3xC6).7C2^2	144,142
(S₃×C₆).₈C₂² = C₄×S₃²	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6).8C2^2	144,143
(S₃×C₆).₉C₂² = C₂×S₃×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	48		(S3xC6).9C2^2	144,146
(S₃×C₆).₁₀C₂² = C₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24	2	(S3xC6).10C2^2	144,161
(S₃×C₆).₁₁C₂² = C₃×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6).11C2^2	144,163
(S₃×C₆).₁₂C₂² = C₃×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₆	48	4	(S3xC6).12C2^2	144,165
(S₃×C₆).₁₃C₂² = S₃×C₂×C₁₂	φ: trivial image	48		(S3xC6).13C2^2	144,159
(S₃×C₆).₁₄C₂² = C₃×S₃×Q₈	φ: trivial image	48	4	(S3xC6).14C2^2	144,164

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