Extensions 1→N→G→Q→1 with N=C₂×S₃² and Q=C₂²

Direct product G=N×Q with N=C₂×S₃² and Q=C₂²

		d	ρ	Label	ID
S₃²×C₂³		48		S3^2xC2^3	288,1040

Semidirect products G=N:Q with N=C₂×S₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²)⋊₁C₂² = D₆≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	12	4+	(C2xS3^2):1C2^2	288,889
(C₂×S₃²)⋊₂C₂² = D₁₂⋊₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	48	4	(C2xS3^2):2C2^2	288,955
(C₂×S₃²)⋊₃C₂² = D₁₂⋊₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	24	4+	(C2xS3^2):3C2^2	288,956
(C₂×S₃²)⋊₄C₂² = D₁₂⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	48	8-	(C2xS3^2):4C2^2	288,961
(C₂×S₃²)⋊₅C₂² = D₁₂⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	24	8+	(C2xS3^2):5C2^2	288,962
(C₂×S₃²)⋊₆C₂² = D₁₂⋊₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	48	8+	(C2xS3^2):6C2^2	288,968
(C₂×S₃²)⋊₇C₂² = C₃²⋊2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	24	4	(C2xS3^2):7C2^2	288,978
(C₂×S₃²)⋊₈C₂² = C₂×S₃×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	48		(C2xS3^2):8C2^2	288,951
(C₂×S₃²)⋊₉C₂² = C₂×D₆⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	48		(C2xS3^2):9C2^2	288,952
(C₂×S₃²)⋊₁₀C₂² = S₃²×D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24	8+	(C2xS3^2):10C2^2	288,958
(C₂×S₃²)⋊₁₁C₂² = C₂×S₃×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	48		(C2xS3^2):11C2^2	288,976
(C₂×S₃²)⋊₁₂C₂² = C₂×Dic₃⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24		(C2xS3^2):12C2^2	288,977
(C₂×S₃²)⋊₁₃C₂² = C₂²×S₃≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24		(C2xS3^2):13C2^2	288,1031

Non-split extensions G=N.Q with N=C₂×S₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²).₁C₂² = C₄.₄S₃≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	24	8+	(C2xS3^2).1C2^2	288,869
(C₂×S₃²).₂C₂² = C₄⋊S₃≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	24	8+	(C2xS3^2).2C2^2	288,879
(C₂×S₃²).₃C₂² = C₆².₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	24	4	(C2xS3^2).3C2^2	288,881
(C₂×S₃²).₄C₂² = C₆²⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×S₃²	24	8+	(C2xS3^2).4C2^2	288,890
(C₂×S₃²).₅C₂² = S₃²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).5C2^2	288,868
(C₂×S₃²).₆C₂² = C₄×S₃≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).6C2^2	288,877
(C₂×S₃²).₇C₂² = S₃²⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).7C2^2	288,878
(C₂×S₃²).₈C₂² = C₂×S₃²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24		(C2xS3^2).8C2^2	288,880
(C₂×S₃²).₉C₂² = S₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	48	4	(C2xS3^2).9C2^2	288,953
(C₂×S₃²).₁₀C₂² = D₁₂⋊₂₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).10C2^2	288,954
(C₂×S₃²).₁₁C₂² = S₃×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	48	8-	(C2xS3^2).11C2^2	288,959
(C₂×S₃²).₁₂C₂² = Dic₆⋊₁₂D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	24	8+	(C2xS3^2).12C2^2	288,960
(C₂×S₃²).₁₃C₂² = S₃×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	48	8+	(C2xS3^2).13C2^2	288,966
(C₂×S₃²).₁₄C₂² = D₁₂⋊₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₃²	48	8-	(C2xS3^2).14C2^2	288,967
(C₂×S₃²).₁₅C₂² = S₃²×C₂×C₄	φ: trivial image	48		(C2xS3^2).15C2^2	288,950
(C₂×S₃²).₁₆C₂² = S₃²×Q₈	φ: trivial image	48	8-	(C2xS3^2).16C2^2	288,965

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