# Extensions 1→N→G→Q→1 with N=C2×C22⋊C4 and Q=S3

Direct product G=N×Q with N=C2×C22⋊C4 and Q=S3
dρLabelID
C2×S3×C22⋊C448C2xS3xC2^2:C4192,1043

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1S3 = C2×C23.6D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):1S3192,513
(C2×C22⋊C4)⋊2S3 = C24.59D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):2S3192,514
(C2×C22⋊C4)⋊3S3 = C24.23D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):3S3192,515
(C2×C22⋊C4)⋊4S3 = C24.24D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):4S3192,516
(C2×C22⋊C4)⋊5S3 = C24.60D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):5S3192,517
(C2×C22⋊C4)⋊6S3 = C24.25D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):6S3192,518
(C2×C22⋊C4)⋊7S3 = C24.35D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):7S3192,1045
(C2×C22⋊C4)⋊8S3 = C233D12φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):8S3192,519
(C2×C22⋊C4)⋊9S3 = C24.27D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):9S3192,520
(C2×C22⋊C4)⋊10S3 = C2×D6⋊D4φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):10S3192,1046
(C2×C22⋊C4)⋊11S3 = C2×C23.9D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):11S3192,1047
(C2×C22⋊C4)⋊12S3 = C2×Dic3⋊D4φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):12S3192,1048
(C2×C22⋊C4)⋊13S3 = C24.38D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):13S3192,1049
(C2×C22⋊C4)⋊14S3 = C2×C23.11D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):14S3192,1050
(C2×C22⋊C4)⋊15S3 = C2×C23.21D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):15S3192,1051
(C2×C22⋊C4)⋊16S3 = C234D12φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):16S3192,1052
(C2×C22⋊C4)⋊17S3 = C24.41D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):17S3192,1053
(C2×C22⋊C4)⋊18S3 = C24.42D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):18S3192,1054
(C2×C22⋊C4)⋊19S3 = C2×Dic34D4φ: trivial image96(C2xC2^2:C4):19S3192,1044

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1S3 = C24.3Dic3φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4).1S3192,84
(C2×C22⋊C4).2S3 = C24.12D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4).2S3192,85
(C2×C22⋊C4).3S3 = C24.13D6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4).3S3192,86
(C2×C22⋊C4).4S3 = C24.55D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).4S3192,501
(C2×C22⋊C4).5S3 = C24.56D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).5S3192,502
(C2×C22⋊C4).6S3 = C24.14D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).6S3192,503
(C2×C22⋊C4).7S3 = C24.15D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).7S3192,504
(C2×C22⋊C4).8S3 = C24.57D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).8S3192,505
(C2×C22⋊C4).9S3 = C24.20D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).9S3192,511
(C2×C22⋊C4).10S3 = C232Dic6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).10S3192,506
(C2×C22⋊C4).11S3 = C24.17D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).11S3192,507
(C2×C22⋊C4).12S3 = C24.18D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).12S3192,508
(C2×C22⋊C4).13S3 = C24.58D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).13S3192,509
(C2×C22⋊C4).14S3 = C24.19D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).14S3192,510
(C2×C22⋊C4).15S3 = C24.21D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).15S3192,512
(C2×C22⋊C4).16S3 = C2×Dic3.D4φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).16S3192,1040
(C2×C22⋊C4).17S3 = C2×C23.8D6φ: S3/C3C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).17S3192,1041
(C2×C22⋊C4).18S3 = C233Dic6φ: S3/C3C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4).18S3192,1042
(C2×C22⋊C4).19S3 = Dic3×C22⋊C4φ: trivial image96(C2xC2^2:C4).19S3192,500
(C2×C22⋊C4).20S3 = C2×C23.16D6φ: trivial image96(C2xC2^2:C4).20S3192,1039

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