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Extensions 1→N→G→Q→1 with N=C2×C32⋊7D4 and Q=C2

Direct product G=N×Q with N=C2×C32⋊7D4 and Q=C2
dρLabelID
C22×C32⋊7D4144C2^2xC3^2:7D4288,1017

Semidirect products G=N:Q with N=C2×C32⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊7D4)⋊1C2 = C62.100C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):1C2288,606
(C2×C32⋊7D4)⋊2C2 = C62.113C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):2C2288,619
(C2×C32⋊7D4)⋊3C2 = C62⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):3C2288,625
(C2×C32⋊7D4)⋊4C2 = C62⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):4C2288,626
(C2×C32⋊7D4)⋊5C2 = C62.121C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):5C2288,627
(C2×C32⋊7D4)⋊6C2 = C62.125C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):6C2288,631
(C2×C32⋊7D4)⋊7C2 = C62⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D472(C2xC3^2:7D4):7C2288,739
(C2×C32⋊7D4)⋊8C2 = C62.228C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4):8C2288,741
(C2×C32⋊7D4)⋊9C2 = C62⋊19D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4):9C2288,787
(C2×C32⋊7D4)⋊10C2 = C62⋊13D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D472(C2xC3^2:7D4):10C2288,794
(C2×C32⋊7D4)⋊11C2 = C62.256C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4):11C2288,795
(C2×C32⋊7D4)⋊12C2 = C62⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4):12C2288,796
(C2×C32⋊7D4)⋊13C2 = C62.258C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4):13C2288,797
(C2×C32⋊7D4)⋊14C2 = C62⋊24D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D472(C2xC3^2:7D4):14C2288,810
(C2×C32⋊7D4)⋊15C2 = C2×D6.3D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):15C2288,970
(C2×C32⋊7D4)⋊16C2 = C2×S3×C3⋊D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4):16C2288,976
(C2×C32⋊7D4)⋊17C2 = C32⋊2+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4244(C2xC3^2:7D4):17C2288,978
(C2×C32⋊7D4)⋊18C2 = C2×D4×C3⋊S3φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D472(C2xC3^2:7D4):18C2288,1007
(C2×C32⋊7D4)⋊19C2 = C2×C12.D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4):19C2288,1008
(C2×C32⋊7D4)⋊20C2 = C32⋊82+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D472(C2xC3^2:7D4):20C2288,1009
(C2×C32⋊7D4)⋊21C2 = C2×C12.59D6φ: trivial image144(C2xC3^2:7D4):21C2288,1006

Non-split extensions G=N.Q with N=C2×C32⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊7D4).1C2 = C62.32D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4244(C2xC3^2:7D4).1C2288,229
(C2×C32⋊7D4).2C2 = C62.110D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D472(C2xC3^2:7D4).2C2288,281
(C2×C32⋊7D4).3C2 = (C2×C62)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4244(C2xC3^2:7D4).3C2288,434
(C2×C32⋊7D4).4C2 = (C2×C62).C4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4244(C2xC3^2:7D4).4C2288,436
(C2×C32⋊7D4).5C2 = C62.94C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4).5C2288,600
(C2×C32⋊7D4).6C2 = C62.95C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4).6C2288,601
(C2×C32⋊7D4).7C2 = C62.60D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4).7C2288,614
(C2×C32⋊7D4).8C2 = C62.117C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D448(C2xC3^2:7D4).8C2288,623
(C2×C32⋊7D4).9C2 = C62.225C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4).9C2288,738
(C2×C32⋊7D4).10C2 = C62.227C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4).10C2288,740
(C2×C32⋊7D4).11C2 = C62.229C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4).11C2288,742
(C2×C32⋊7D4).12C2 = C62.69D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4).12C2288,743
(C2×C32⋊7D4).13C2 = C62.129D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊7D4144(C2xC3^2:7D4).13C2288,786
(C2×C32⋊7D4).14C2 = C4×C32⋊7D4φ: trivial image144(C2xC3^2:7D4).14C2288,785

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