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Extensions 1→N→G→Q→1 with N=C22xC3:S3 and Q=S3

Direct product G=NxQ with N=C22xC3:S3 and Q=S3
dρLabelID
C22xS3xC3:S372C2^2xS3xC3:S3432,768

Semidirect products G=N:Q with N=C22xC3:S3 and Q=S3
extensionφ:Q→Out NdρLabelID
(C22xC3:S3):1S3 = C2xHe3:2D4φ: S3/C1 → S3 ⊆ Out C22xC3:S372(C2^2xC3:S3):1S3432,320
(C22xC3:S3):2S3 = C2xHe3:3D4φ: S3/C1 → S3 ⊆ Out C22xC3:S372(C2^2xC3:S3):2S3432,322
(C22xC3:S3):3S3 = C62:D6φ: S3/C1 → S3 ⊆ Out C22xC3:S33612+(C2^2xC3:S3):3S3432,323
(C22xC3:S3):4S3 = C62:5D6φ: S3/C1 → S3 ⊆ Out C22xC3:S3186+(C2^2xC3:S3):4S3432,523
(C22xC3:S3):5S3 = C22xC32:D6φ: S3/C1 → S3 ⊆ Out C22xC3:S336(C2^2xC3:S3):5S3432,545
(C22xC3:S3):6S3 = C3:S3xS4φ: S3/C1 → S3 ⊆ Out C22xC3:S336(C2^2xC3:S3):6S3432,746
(C22xC3:S3):7S3 = C62:10D6φ: S3/C1 → S3 ⊆ Out C22xC3:S32412+(C2^2xC3:S3):7S3432,748
(C22xC3:S3):8S3 = C2xC33:6D4φ: S3/C3 → C2 ⊆ Out C22xC3:S3144(C2^2xC3:S3):8S3432,680
(C22xC3:S3):9S3 = C2xC33:8D4φ: S3/C3 → C2 ⊆ Out C22xC3:S372(C2^2xC3:S3):9S3432,682
(C22xC3:S3):10S3 = C3:S3xC3:D4φ: S3/C3 → C2 ⊆ Out C22xC3:S372(C2^2xC3:S3):10S3432,685
(C22xC3:S3):11S3 = C2xC33:9D4φ: S3/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3):11S3432,694
(C22xC3:S3):12S3 = C62:24D6φ: S3/C3 → C2 ⊆ Out C22xC3:S3244(C2^2xC3:S3):12S3432,696
(C22xC3:S3):13S3 = C22xC32:4D6φ: S3/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3):13S3432,769

Non-split extensions G=N.Q with N=C22xC3:S3 and Q=S3
extensionφ:Q→Out NdρLabelID
(C22xC3:S3).1S3 = C62.4D6φ: S3/C1 → S3 ⊆ Out C22xC3:S372(C2^2xC3:S3).1S3432,97
(C22xC3:S3).2S3 = C2xC6.S32φ: S3/C1 → S3 ⊆ Out C22xC3:S372(C2^2xC3:S3).2S3432,317
(C22xC3:S3).3S3 = C62:Dic3φ: S3/C1 → S3 ⊆ Out C22xC3:S32412+(C2^2xC3:S3).3S3432,743
(C22xC3:S3).4S3 = C62.78D6φ: S3/C3 → C2 ⊆ Out C22xC3:S3144(C2^2xC3:S3).4S3432,450
(C22xC3:S3).5S3 = C62.84D6φ: S3/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3).5S3432,461
(C22xC3:S3).6S3 = C62:11Dic3φ: S3/C3 → C2 ⊆ Out C22xC3:S3244(C2^2xC3:S3).6S3432,641
(C22xC3:S3).7S3 = C2xC33:9(C2xC4)φ: S3/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3).7S3432,692
(C22xC3:S3).8S3 = C22xC33:C4φ: S3/C3 → C2 ⊆ Out C22xC3:S348(C2^2xC3:S3).8S3432,766
(C22xC3:S3).9S3 = C2xDic3xC3:S3φ: trivial image144(C2^2xC3:S3).9S3432,677

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