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Extensions 1→N→G→Q→1 with N=C2×C22⋊C4 and Q=C10

Direct product G=N×Q with N=C2×C22⋊C4 and Q=C10
dρLabelID
C22⋊C4×C2×C10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1C10 = C5×C24⋊3C4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):1C10320,880
(C2×C22⋊C4)⋊2C10 = C5×C23.23D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):2C10320,887
(C2×C22⋊C4)⋊3C10 = C5×C24.3C22φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):3C10320,891
(C2×C22⋊C4)⋊4C10 = C10×C23⋊C4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):4C10320,910
(C2×C22⋊C4)⋊5C10 = C5×C22.11C24φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):5C10320,1520
(C2×C22⋊C4)⋊6C10 = C5×C23⋊2D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):6C10320,893
(C2×C22⋊C4)⋊7C10 = C5×C23.10D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):7C10320,895
(C2×C22⋊C4)⋊8C10 = C10×C22≀C2φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):8C10320,1523
(C2×C22⋊C4)⋊9C10 = C10×C4⋊D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):9C10320,1524
(C2×C22⋊C4)⋊10C10 = C10×C22.D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):10C10320,1526
(C2×C22⋊C4)⋊11C10 = C10×C4.4D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4):11C10320,1528
(C2×C22⋊C4)⋊12C10 = C5×C23⋊3D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):12C10320,1536
(C2×C22⋊C4)⋊13C10 = C5×C22.32C24φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):13C10320,1540
(C2×C22⋊C4)⋊14C10 = C5×D4⋊5D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):14C10320,1548
(C2×C22⋊C4)⋊15C10 = C5×C22.45C24φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4):15C10320,1553
(C2×C22⋊C4)⋊16C10 = D4×C2×C20φ: trivial image160(C2xC2^2:C4):16C10320,1517

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1C10 = C5×C23⋊C8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4).1C10320,128
(C2×C22⋊C4).2C10 = C5×C23.9D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4).2C10320,147
(C2×C22⋊C4).3C10 = C5×C23.7Q8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).3C10320,881
(C2×C22⋊C4).4C10 = C5×C23.34D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).4C10320,882
(C2×C22⋊C4).5C10 = C5×C23.8Q8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).5C10320,886
(C2×C22⋊C4).6C10 = C5×C24.C22φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).6C10320,889
(C2×C22⋊C4).7C10 = C5×C23.11D4φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).7C10320,898
(C2×C22⋊C4).8C10 = C5×C23⋊Q8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).8C10320,894
(C2×C22⋊C4).9C10 = C5×C23.Q8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).9C10320,897
(C2×C22⋊C4).10C10 = C5×C23.4Q8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).10C10320,900
(C2×C22⋊C4).11C10 = C10×C22⋊Q8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).11C10320,1525
(C2×C22⋊C4).12C10 = C10×C42⋊2C2φ: C10/C5 → C2 ⊆ Out C2×C22⋊C4160(C2xC2^2:C4).12C10320,1530
(C2×C22⋊C4).13C10 = C5×C23⋊2Q8φ: C10/C5 → C2 ⊆ Out C2×C22⋊C480(C2xC2^2:C4).13C10320,1545
(C2×C22⋊C4).14C10 = C22⋊C4×C20φ: trivial image160(C2xC2^2:C4).14C10320,878
(C2×C22⋊C4).15C10 = C10×C42⋊C2φ: trivial image160(C2xC2^2:C4).15C10320,1516

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