# Extensions 1→N→G→Q→1 with N=C2×M4(2) and Q=S3

Direct product G=N×Q with N=C2×M4(2) and Q=S3
dρLabelID
C2×S3×M4(2)48C2xS3xM4(2)192,1302

Semidirect products G=N:Q with N=C2×M4(2) and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×M4(2))⋊1S3 = C242D4φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)):1S3192,693
(C2×M4(2))⋊2S3 = C243D4φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)):2S3192,694
(C2×M4(2))⋊3S3 = C2×C8⋊D6φ: S3/C3C2 ⊆ Out C2×M4(2)48(C2xM4(2)):3S3192,1305
(C2×M4(2))⋊4S3 = C2×C8.D6φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)):4S3192,1306
(C2×M4(2))⋊5S3 = C24.9C23φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)):5S3192,1307
(C2×M4(2))⋊6S3 = D66M4(2)φ: S3/C3C2 ⊆ Out C2×M4(2)48(C2xM4(2)):6S3192,685
(C2×M4(2))⋊7S3 = C24⋊D4φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)):7S3192,686
(C2×M4(2))⋊8S3 = C2421D4φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)):8S3192,687
(C2×M4(2))⋊9S3 = D6⋊C840C2φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)):9S3192,688
(C2×M4(2))⋊10S3 = C2×C12.46D4φ: S3/C3C2 ⊆ Out C2×M4(2)48(C2xM4(2)):10S3192,689
(C2×M4(2))⋊11S3 = C23.53D12φ: S3/C3C2 ⊆ Out C2×M4(2)48(C2xM4(2)):11S3192,690
(C2×M4(2))⋊12S3 = M4(2).31D6φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)):12S3192,691
(C2×M4(2))⋊13S3 = C23.54D12φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)):13S3192,692
(C2×M4(2))⋊14S3 = C2×D12⋊C4φ: S3/C3C2 ⊆ Out C2×M4(2)48(C2xM4(2)):14S3192,697
(C2×M4(2))⋊15S3 = M4(2)⋊24D6φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)):15S3192,698
(C2×M4(2))⋊16S3 = M4(2)⋊26D6φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)):16S3192,1304
(C2×M4(2))⋊17S3 = C2×D12.C4φ: trivial image96(C2xM4(2)):17S3192,1303

Non-split extensions G=N.Q with N=C2×M4(2) and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×M4(2)).1S3 = C23.52D12φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).1S3192,680
(C2×M4(2)).2S3 = C23.9Dic6φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)).2S3192,684
(C2×M4(2)).3S3 = C24.4D4φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).3S3192,696
(C2×M4(2)).4S3 = C24.D4φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)).4S3192,112
(C2×M4(2)).5S3 = M4(2)⋊Dic3φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).5S3192,113
(C2×M4(2)).6S3 = C12.3C42φ: S3/C3C2 ⊆ Out C2×M4(2)48(C2xM4(2)).6S3192,114
(C2×M4(2)).7S3 = (C2×C24)⋊C4φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)).7S3192,115
(C2×M4(2)).8S3 = C12.20C42φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)).8S3192,116
(C2×M4(2)).9S3 = C12.4C42φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).9S3192,117
(C2×M4(2)).10S3 = M4(2)⋊4Dic3φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)).10S3192,118
(C2×M4(2)).11S3 = C12.21C42φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)).11S3192,119
(C2×M4(2)).12S3 = Dic34M4(2)φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).12S3192,677
(C2×M4(2)).13S3 = C12.88(C2×Q8)φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).13S3192,678
(C2×M4(2)).14S3 = C23.51D12φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).14S3192,679
(C2×M4(2)).15S3 = C2×C12.53D4φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).15S3192,682
(C2×M4(2)).16S3 = C23.8Dic6φ: S3/C3C2 ⊆ Out C2×M4(2)484(C2xM4(2)).16S3192,683
(C2×M4(2)).17S3 = C2×C12.47D4φ: S3/C3C2 ⊆ Out C2×M4(2)96(C2xM4(2)).17S3192,695
(C2×M4(2)).18S3 = Dic3×M4(2)φ: trivial image96(C2xM4(2)).18S3192,676
(C2×M4(2)).19S3 = C12.7C42φ: trivial image96(C2xM4(2)).19S3192,681

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