Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=C₂²

Direct product G=NxQ with N=C₄xS₃ and Q=C₂²

		d	ρ	Label	ID
S₃xC₂²xC₄		48		S3xC2^2xC4	96,206

Semidirect products G=N:Q with N=C₄xS₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃):₁C₂² = D₄:₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	24	4	(C4xS3):1C2^2	96,211
(C₄xS₃):₂C₂² = D₄oD₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	24	4+	(C4xS3):2C2^2	96,216
(C₄xS₃):₃C₂² = C₂xS₃xD₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	24		(C4xS3):3C2^2	96,209
(C₄xS₃):₄C₂² = C₂xD₄:₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48		(C4xS3):4C2^2	96,210
(C₄xS₃):₅C₂² = C₂xQ₈:₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48		(C4xS3):5C2^2	96,213
(C₄xS₃):₆C₂² = C₂xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48		(C4xS3):6C2^2	96,208
(C₄xS₃):₇C₂² = S₃xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	24	4	(C4xS3):7C2^2	96,215

Non-split extensions G=N.Q with N=C₄xS₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃).₁C₂² = D₈:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	24	4	(C4xS3).1C2^2	96,118
(C₄xS₃).₂C₂² = Q₈:₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	24	4+	(C4xS3).2C2^2	96,121
(C₄xS₃).₃C₂² = D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	48	4-	(C4xS3).3C2^2	96,122
(C₄xS₃).₄C₂² = Q₁₆:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	48	4	(C4xS3).4C2^2	96,125
(C₄xS₃).₅C₂² = Q₈.₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	48	4	(C4xS3).5C2^2	96,214
(C₄xS₃).₆C₂² = Q₈oD₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄xS₃	48	4-	(C4xS3).6C2^2	96,217
(C₄xS₃).₇C₂² = S₃xD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	24	4+	(C4xS3).7C2^2	96,117
(C₄xS₃).₈C₂² = D₈:₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48	4-	(C4xS3).8C2^2	96,119
(C₄xS₃).₉C₂² = S₃xSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	24	4	(C4xS3).9C2^2	96,120
(C₄xS₃).₁₀C₂² = Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48	4	(C4xS3).10C2^2	96,123
(C₄xS₃).₁₁C₂² = S₃xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48	4-	(C4xS3).11C2^2	96,124
(C₄xS₃).₁₂C₂² = D₂₄:C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48	4+	(C4xS3).12C2^2	96,126
(C₄xS₃).₁₃C₂² = C₂xS₃xQ₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48		(C4xS3).13C2^2	96,212
(C₄xS₃).₁₄C₂² = C₂xC₈:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48		(C4xS3).14C2^2	96,107
(C₄xS₃).₁₅C₂² = C₈oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48	2	(C4xS3).15C2^2	96,108
(C₄xS₃).₁₆C₂² = D₁₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xS₃	48	4	(C4xS3).16C2^2	96,114
(C₄xS₃).₁₇C₂² = S₃xC₂xC₈	φ: trivial image	48		(C4xS3).17C2^2	96,106
(C₄xS₃).₁₈C₂² = S₃xM₄(2)	φ: trivial image	24	4	(C4xS3).18C2^2	96,113

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