Extensions 1→N→G→Q→1 with N=C3xM4(2) and Q=S3

Direct product G=NxQ with N=C3xM4(2) and Q=S3
dρLabelID
C3xS3xM4(2)484C3xS3xM4(2)288,677

Semidirect products G=N:Q with N=C3xM4(2) and Q=S3
extensionφ:Q→Out NdρLabelID
(C3xM4(2)):1S3 = C24:3D6φ: S3/C3C2 ⊆ Out C3xM4(2)72(C3xM4(2)):1S3288,765
(C3xM4(2)):2S3 = C24.5D6φ: S3/C3C2 ⊆ Out C3xM4(2)144(C3xM4(2)):2S3288,766
(C3xM4(2)):3S3 = C3xC8:D6φ: S3/C3C2 ⊆ Out C3xM4(2)484(C3xM4(2)):3S3288,679
(C3xM4(2)):4S3 = C3xC8.D6φ: S3/C3C2 ⊆ Out C3xM4(2)484(C3xM4(2)):4S3288,680
(C3xM4(2)):5S3 = M4(2)xC3:S3φ: S3/C3C2 ⊆ Out C3xM4(2)72(C3xM4(2)):5S3288,763
(C3xM4(2)):6S3 = C24.47D6φ: S3/C3C2 ⊆ Out C3xM4(2)144(C3xM4(2)):6S3288,764
(C3xM4(2)):7S3 = C3xC12.46D4φ: S3/C3C2 ⊆ Out C3xM4(2)484(C3xM4(2)):7S3288,257
(C3xM4(2)):8S3 = C3xD12:C4φ: S3/C3C2 ⊆ Out C3xM4(2)484(C3xM4(2)):8S3288,259
(C3xM4(2)):9S3 = C12.19D12φ: S3/C3C2 ⊆ Out C3xM4(2)72(C3xM4(2)):9S3288,298
(C3xM4(2)):10S3 = C62.37D4φ: S3/C3C2 ⊆ Out C3xM4(2)72(C3xM4(2)):10S3288,300
(C3xM4(2)):11S3 = C3xD12.C4φ: trivial image484(C3xM4(2)):11S3288,678

Non-split extensions G=N.Q with N=C3xM4(2) and Q=S3
extensionφ:Q→Out NdρLabelID
(C3xM4(2)).1S3 = C8:D18φ: S3/C3C2 ⊆ Out C3xM4(2)724+(C3xM4(2)).1S3288,118
(C3xM4(2)).2S3 = C8.D18φ: S3/C3C2 ⊆ Out C3xM4(2)1444-(C3xM4(2)).2S3288,119
(C3xM4(2)).3S3 = M4(2)xD9φ: S3/C3C2 ⊆ Out C3xM4(2)724(C3xM4(2)).3S3288,116
(C3xM4(2)).4S3 = D36.C4φ: S3/C3C2 ⊆ Out C3xM4(2)1444(C3xM4(2)).4S3288,117
(C3xM4(2)).5S3 = C36.53D4φ: S3/C3C2 ⊆ Out C3xM4(2)1444(C3xM4(2)).5S3288,29
(C3xM4(2)).6S3 = C4.D36φ: S3/C3C2 ⊆ Out C3xM4(2)1444-(C3xM4(2)).6S3288,30
(C3xM4(2)).7S3 = C36.48D4φ: S3/C3C2 ⊆ Out C3xM4(2)724+(C3xM4(2)).7S3288,31
(C3xM4(2)).8S3 = Dic18:C4φ: S3/C3C2 ⊆ Out C3xM4(2)724(C3xM4(2)).8S3288,32
(C3xM4(2)).9S3 = C3xC12.53D4φ: S3/C3C2 ⊆ Out C3xM4(2)484(C3xM4(2)).9S3288,256
(C3xM4(2)).10S3 = C3xC12.47D4φ: S3/C3C2 ⊆ Out C3xM4(2)484(C3xM4(2)).10S3288,258
(C3xM4(2)).11S3 = C62.8Q8φ: S3/C3C2 ⊆ Out C3xM4(2)144(C3xM4(2)).11S3288,297
(C3xM4(2)).12S3 = C12.20D12φ: S3/C3C2 ⊆ Out C3xM4(2)144(C3xM4(2)).12S3288,299

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