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

Direct product G=N×Q with N=C2×C42 and Q=S3
dρLabelID
S3×C2×C4296S3xC2xC4^2192,1030

Semidirect products G=N:Q with N=C2×C42 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2×C42)⋊S3 = C2×C42⋊S3φ: S3/C1S3 ⊆ Aut C2×C42123(C2xC4^2):S3192,944
(C2×C42)⋊2S3 = C4×D6⋊C4φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):2S3192,497
(C2×C42)⋊3S3 = (C2×C42)⋊3S3φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):3S3192,499
(C2×C42)⋊4S3 = C2×C422S3φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):4S3192,1031
(C2×C42)⋊5S3 = C2×C423S3φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):5S3192,1037
(C2×C42)⋊6S3 = C2×C424S3φ: S3/C3C2 ⊆ Aut C2×C4248(C2xC4^2):6S3192,486
(C2×C42)⋊7S3 = (C2×C4)⋊6D12φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):7S3192,498
(C2×C42)⋊8S3 = C2×C4×D12φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):8S3192,1032
(C2×C42)⋊9S3 = C4×C4○D12φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):9S3192,1033
(C2×C42)⋊10S3 = C2×C4⋊D12φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):10S3192,1034
(C2×C42)⋊11S3 = C2×C427S3φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):11S3192,1035
(C2×C42)⋊12S3 = C42.276D6φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):12S3192,1036
(C2×C42)⋊13S3 = C42.277D6φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2):13S3192,1038

Non-split extensions G=N.Q with N=C2×C42 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2×C42).S3 = C23.9S4φ: S3/C1S3 ⊆ Aut C2×C42123(C2xC4^2).S3192,182
(C2×C42).2S3 = (C2×C12)⋊3C8φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).2S3192,83
(C2×C42).3S3 = C2×C42.S3φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).3S3192,480
(C2×C42).4S3 = C4×Dic3⋊C4φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).4S3192,490
(C2×C42).5S3 = C426Dic3φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).5S3192,491
(C2×C42).6S3 = (C2×C42).6S3φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).6S3192,492
(C2×C42).7S3 = C427Dic3φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).7S3192,496
(C2×C42).8S3 = C12.8C42φ: S3/C3C2 ⊆ Aut C2×C4248(C2xC4^2).8S3192,82
(C2×C42).9S3 = C4×C4.Dic3φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2).9S3192,481
(C2×C42).10S3 = C2×C12⋊C8φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).10S3192,482
(C2×C42).11S3 = C127M4(2)φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2).11S3192,483
(C2×C42).12S3 = C42.285D6φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2).12S3192,484
(C2×C42).13S3 = C42.270D6φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2).13S3192,485
(C2×C42).14S3 = C124(C4⋊C4)φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).14S3192,487
(C2×C42).15S3 = (C2×Dic6)⋊7C4φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).15S3192,488
(C2×C42).16S3 = C4×C4⋊Dic3φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).16S3192,493
(C2×C42).17S3 = C4210Dic3φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).17S3192,494
(C2×C42).18S3 = C4211Dic3φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).18S3192,495
(C2×C42).19S3 = C2×C4×Dic6φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).19S3192,1026
(C2×C42).20S3 = C2×C122Q8φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).20S3192,1027
(C2×C42).21S3 = C2×C12.6Q8φ: S3/C3C2 ⊆ Aut C2×C42192(C2xC4^2).21S3192,1028
(C2×C42).22S3 = C42.274D6φ: S3/C3C2 ⊆ Aut C2×C4296(C2xC4^2).22S3192,1029
(C2×C42).23S3 = C2×C4×C3⋊C8central extension (φ=1)192(C2xC4^2).23S3192,479
(C2×C42).24S3 = Dic3×C42central extension (φ=1)192(C2xC4^2).24S3192,489

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