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

Direct product G=N×Q with N=C42⋊C2 and Q=S3
dρLabelID
S3×C42⋊C248S3xC4^2:C2192,1079

Semidirect products G=N:Q with N=C42⋊C2 and Q=S3
extensionφ:Q→Out NdρLabelID
C42⋊C21S3 = C4⋊C436D6φ: S3/C3C2 ⊆ Out C42⋊C248C4^2:C2:1S3192,560
C42⋊C22S3 = C4.(C2×D12)φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:2S3192,561
C42⋊C23S3 = C4⋊C4.236D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:3S3192,562
C42⋊C24S3 = C426D6φ: S3/C3C2 ⊆ Out C42⋊C2484C4^2:C2:4S3192,564
C42⋊C25S3 = (C2×D12)⋊13C4φ: S3/C3C2 ⊆ Out C42⋊C2484C4^2:C2:5S3192,565
C42⋊C26S3 = C429D6φ: S3/C3C2 ⊆ Out C42⋊C248C4^2:C2:6S3192,1080
C42⋊C27S3 = C42.91D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:7S3192,1082
C42⋊C28S3 = C4210D6φ: S3/C3C2 ⊆ Out C42⋊C248C4^2:C2:8S3192,1083
C42⋊C29S3 = C4211D6φ: S3/C3C2 ⊆ Out C42⋊C248C4^2:C2:9S3192,1084
C42⋊C210S3 = C42.92D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:10S3192,1085
C42⋊C211S3 = C4212D6φ: S3/C3C2 ⊆ Out C42⋊C248C4^2:C2:11S3192,1086
C42⋊C212S3 = C42.93D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:12S3192,1087
C42⋊C213S3 = C42.94D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:13S3192,1088
C42⋊C214S3 = C42.95D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:14S3192,1089
C42⋊C215S3 = C42.96D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:15S3192,1090
C42⋊C216S3 = C42.97D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:16S3192,1091
C42⋊C217S3 = C42.98D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:17S3192,1092
C42⋊C218S3 = C42.99D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:18S3192,1093
C42⋊C219S3 = C42.100D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2:19S3192,1094
C42⋊C220S3 = C42.188D6φ: trivial image96C4^2:C2:20S3192,1081

Non-split extensions G=N.Q with N=C42⋊C2 and Q=S3
extensionφ:Q→Out NdρLabelID
C42⋊C2.1S3 = C423Dic3φ: S3/C3C2 ⊆ Out C42⋊C2484C4^2:C2.1S3192,90
C42⋊C2.2S3 = C12.2C42φ: S3/C3C2 ⊆ Out C42⋊C248C4^2:C2.2S3192,91
C42⋊C2.3S3 = (C2×C12).Q8φ: S3/C3C2 ⊆ Out C42⋊C2484C4^2:C2.3S3192,92
C42⋊C2.4S3 = C4⋊C4.232D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.4S3192,554
C42⋊C2.5S3 = C4⋊C4.233D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.5S3192,555
C42⋊C2.6S3 = C4⋊C4.234D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.6S3192,557
C42⋊C2.7S3 = C42.43D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.7S3192,558
C42⋊C2.8S3 = C42.187D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.8S3192,559
C42⋊C2.9S3 = C4⋊C4.237D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.9S3192,563
C42⋊C2.10S3 = C42.87D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.10S3192,1075
C42⋊C2.11S3 = C42.88D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.11S3192,1076
C42⋊C2.12S3 = C42.89D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.12S3192,1077
C42⋊C2.13S3 = C42.90D6φ: S3/C3C2 ⊆ Out C42⋊C296C4^2:C2.13S3192,1078
C42⋊C2.14S3 = C12.5C42φ: trivial image96C4^2:C2.14S3192,556

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