Extensions 1→N→G→Q→1 with N=S₃xDic₃ and Q=C₂²

Direct product G=NxQ with N=S₃xDic₃ and Q=C₂²

		d	ρ	Label	ID
C₂²xS₃xDic₃		96		C2^2xS3xDic3	288,969

Semidirect products G=N:Q with N=S₃xDic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xDic₃):₁C₂² = D₁₂:₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	48	4	(S3xDic3):1C2^2	288,955
(S₃xDic₃):₂C₂² = D₁₂:₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	48	8-	(S3xDic3):2C2^2	288,961
(S₃xDic₃):₃C₂² = D₁₂:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	24	8+	(S3xDic3):3C2^2	288,962
(S₃xDic₃):₄C₂² = C₃²:2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	24	4	(S3xDic3):4C2^2	288,978
(S₃xDic₃):₅C₂² = C₂xD₁₂:S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48		(S3xDic3):5C2^2	288,944
(S₃xDic₃):₆C₂² = D₁₂:₂₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	24	4	(S3xDic3):6C2^2	288,954
(S₃xDic₃):₇C₂² = S₃²xD₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	24	8+	(S3xDic3):7C2^2	288,958
(S₃xDic₃):₈C₂² = S₃xQ₈:₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48	8+	(S3xDic3):8C2^2	288,966
(S₃xDic₃):₉C₂² = C₂xD₆.₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48		(S3xDic3):9C2^2	288,971
(S₃xDic₃):₁₀C₂² = C₂xS₃xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48		(S3xDic3):10C2^2	288,976
(S₃xDic₃):₁₁C₂² = C₂xD₁₂:₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	96		(S3xDic3):11C2^2	288,943
(S₃xDic₃):₁₂C₂² = S₃xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48	4	(S3xDic3):12C2^2	288,953
(S₃xDic₃):₁₃C₂² = S₃xD₄:₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48	8-	(S3xDic3):13C2^2	288,959
(S₃xDic₃):₁₄C₂² = Dic₆:₁₂D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	24	8+	(S3xDic3):14C2^2	288,960
(S₃xDic₃):₁₅C₂² = D₁₂:₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48	8-	(S3xDic3):15C2^2	288,967
(S₃xDic₃):₁₆C₂² = C₂xD₆.₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48		(S3xDic3):16C2^2	288,970
(S₃xDic₃):₁₇C₂² = S₃²xC₂xC₄	φ: trivial image	48		(S3xDic3):17C2^2	288,950

Non-split extensions G=N.Q with N=S₃xDic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xDic₃).₁C₂² = D₁₂.₃₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	48	4	(S3xDic3).1C2^2	288,945
(S₃xDic₃).₂C₂² = D₁₂.₃₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	48	4-	(S3xDic3).2C2^2	288,946
(S₃xDic₃).₃C₂² = Dic₆.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	48	8-	(S3xDic3).3C2^2	288,957
(S₃xDic₃).₄C₂² = D₁₂.₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out S₃xDic₃	48	8-	(S3xDic3).4C2^2	288,963
(S₃xDic₃).₅C₂² = C₂xS₃xDic₆	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	96		(S3xDic3).5C2^2	288,942
(S₃xDic₃).₆C₂² = S₃²xQ₈	φ: C₂²/C₂ → C₂ ⊆ Out S₃xDic₃	48	8-	(S3xDic3).6C2^2	288,965

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