Extensions 1→N→G→Q→1 with N=C32×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C32×C22⋊C4 and Q=C2
dρLabelID
C22⋊C4×C3×C6144C2^2:C4xC3xC6288,812

Semidirect products G=N:Q with N=C32×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×C22⋊C4)⋊1C2 = C3×C23.6D6φ: C2/C1C2 ⊆ Out C32×C22⋊C4244(C3^2xC2^2:C4):1C2288,240
(C32×C22⋊C4)⋊2C2 = C62.110D4φ: C2/C1C2 ⊆ Out C32×C22⋊C472(C3^2xC2^2:C4):2C2288,281
(C32×C22⋊C4)⋊3C2 = C32×C23⋊C4φ: C2/C1C2 ⊆ Out C32×C22⋊C472(C3^2xC2^2:C4):3C2288,317
(C32×C22⋊C4)⋊4C2 = C6212D4φ: C2/C1C2 ⊆ Out C32×C22⋊C472(C3^2xC2^2:C4):4C2288,739
(C32×C22⋊C4)⋊5C2 = C62.69D4φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):5C2288,743
(C32×C22⋊C4)⋊6C2 = C62.227C23φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):6C2288,740
(C32×C22⋊C4)⋊7C2 = C62.228C23φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):7C2288,741
(C32×C22⋊C4)⋊8C2 = C62.229C23φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):8C2288,742
(C32×C22⋊C4)⋊9C2 = C3×C23.9D6φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4):9C2288,654
(C32×C22⋊C4)⋊10C2 = C3×Dic3⋊D4φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4):10C2288,655
(C32×C22⋊C4)⋊11C2 = C3×C23.11D6φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4):11C2288,656
(C32×C22⋊C4)⋊12C2 = C3×D6⋊D4φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4):12C2288,653
(C32×C22⋊C4)⋊13C2 = C3×C23.21D6φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4):13C2288,657
(C32×C22⋊C4)⋊14C2 = C3×S3×C22⋊C4φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4):14C2288,651
(C32×C22⋊C4)⋊15C2 = C3×Dic34D4φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4):15C2288,652
(C32×C22⋊C4)⋊16C2 = C22⋊C4×C3⋊S3φ: C2/C1C2 ⊆ Out C32×C22⋊C472(C3^2xC2^2:C4):16C2288,737
(C32×C22⋊C4)⋊17C2 = C62.225C23φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):17C2288,738
(C32×C22⋊C4)⋊18C2 = C32×C22≀C2φ: C2/C1C2 ⊆ Out C32×C22⋊C472(C3^2xC2^2:C4):18C2288,817
(C32×C22⋊C4)⋊19C2 = C32×C4⋊D4φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):19C2288,818
(C32×C22⋊C4)⋊20C2 = C32×C22.D4φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):20C2288,820
(C32×C22⋊C4)⋊21C2 = C32×C4.4D4φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4):21C2288,821
(C32×C22⋊C4)⋊22C2 = D4×C3×C12φ: trivial image144(C3^2xC2^2:C4):22C2288,815

Non-split extensions G=N.Q with N=C32×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×C22⋊C4).1C2 = C626Q8φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4).1C2288,735
(C32×C22⋊C4).2C2 = C62.223C23φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4).2C2288,736
(C32×C22⋊C4).3C2 = C3×C23.8D6φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4).3C2288,650
(C32×C22⋊C4).4C2 = C3×Dic3.D4φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4).4C2288,649
(C32×C22⋊C4).5C2 = C3×C23.16D6φ: C2/C1C2 ⊆ Out C32×C22⋊C448(C3^2xC2^2:C4).5C2288,648
(C32×C22⋊C4).6C2 = C62.221C23φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4).6C2288,734
(C32×C22⋊C4).7C2 = C32×C22⋊Q8φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4).7C2288,819
(C32×C22⋊C4).8C2 = C32×C422C2φ: C2/C1C2 ⊆ Out C32×C22⋊C4144(C3^2xC2^2:C4).8C2288,823
(C32×C22⋊C4).9C2 = C32×C42⋊C2φ: trivial image144(C3^2xC2^2:C4).9C2288,814

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