Extensions 1→N→G→Q→1 with N=C₄²:C₂ and Q=S₃

Direct product G=NxQ with N=C₄²:C₂ and Q=S₃

		d	ρ	Label	ID
S₃xC₄²:C₂		48		S3xC4^2:C2	192,1079

Semidirect products G=N:Q with N=C₄²:C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:C₂:₁S₃ = C₄:C₄:₃₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48		C4^2:C2:1S3	192,560
C₄²:C₂:₂S₃ = C₄.(C₂xD₁₂)	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:2S3	192,561
C₄²:C₂:₃S₃ = C₄:C₄.₂₃₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:3S3	192,562
C₄²:C₂:₄S₃ = C₄²:₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48	4	C4^2:C2:4S3	192,564
C₄²:C₂:₅S₃ = (C₂xD₁₂):₁₃C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48	4	C4^2:C2:5S3	192,565
C₄²:C₂:₆S₃ = C₄²:₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48		C4^2:C2:6S3	192,1080
C₄²:C₂:₇S₃ = C₄².₉₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:7S3	192,1082
C₄²:C₂:₈S₃ = C₄²:₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48		C4^2:C2:8S3	192,1083
C₄²:C₂:₉S₃ = C₄²:₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48		C4^2:C2:9S3	192,1084
C₄²:C₂:₁₀S₃ = C₄².₉₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:10S3	192,1085
C₄²:C₂:₁₁S₃ = C₄²:₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48		C4^2:C2:11S3	192,1086
C₄²:C₂:₁₂S₃ = C₄².₉₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:12S3	192,1087
C₄²:C₂:₁₃S₃ = C₄².₉₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:13S3	192,1088
C₄²:C₂:₁₄S₃ = C₄².₉₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:14S3	192,1089
C₄²:C₂:₁₅S₃ = C₄².₉₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:15S3	192,1090
C₄²:C₂:₁₆S₃ = C₄².₉₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:16S3	192,1091
C₄²:C₂:₁₇S₃ = C₄².₉₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:17S3	192,1092
C₄²:C₂:₁₈S₃ = C₄².₉₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:18S3	192,1093
C₄²:C₂:₁₉S₃ = C₄².₁₀₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2:19S3	192,1094
C₄²:C₂:₂₀S₃ = C₄².₁₈₈D₆	φ: trivial image	96		C4^2:C2:20S3	192,1081

Non-split extensions G=N.Q with N=C₄²:C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:C₂.₁S₃ = C₄²:₃Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48	4	C4^2:C2.1S3	192,90
C₄²:C₂.₂S₃ = C₁₂.₂C₄²	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48		C4^2:C2.2S3	192,91
C₄²:C₂.₃S₃ = (C₂xC₁₂).Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	48	4	C4^2:C2.3S3	192,92
C₄²:C₂.₄S₃ = C₄:C₄.₂₃₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.4S3	192,554
C₄²:C₂.₅S₃ = C₄:C₄.₂₃₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.5S3	192,555
C₄²:C₂.₆S₃ = C₄:C₄.₂₃₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.6S3	192,557
C₄²:C₂.₇S₃ = C₄².₄₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.7S3	192,558
C₄²:C₂.₈S₃ = C₄².₁₈₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.8S3	192,559
C₄²:C₂.₉S₃ = C₄:C₄.₂₃₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.9S3	192,563
C₄²:C₂.₁₀S₃ = C₄².₈₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.10S3	192,1075
C₄²:C₂.₁₁S₃ = C₄².₈₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.11S3	192,1076
C₄²:C₂.₁₂S₃ = C₄².₈₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.12S3	192,1077
C₄²:C₂.₁₃S₃ = C₄².₉₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²:C₂	96		C4^2:C2.13S3	192,1078
C₄²:C₂.₁₄S₃ = C₁₂.₅C₄²	φ: trivial image	96		C4^2:C2.14S3	192,556

Extensions 1→N→G→Q→1 with N=C42:C2 and Q=S3

Extensions 1→N→G→Q→1 with N=C₄²:C₂ and Q=S₃