Extensions 1→N→G→Q→1 with N=C2xC42 and Q=C10

Direct product G=NxQ with N=C2xC42 and Q=C10
dρLabelID
C22xC4xC20320C2^2xC4xC20320,1513

Semidirect products G=N:Q with N=C2xC42 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC42):1C10 = C22:C4xC20φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):1C10320,878
(C2xC42):2C10 = C5xC24.C22φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):2C10320,889
(C2xC42):3C10 = C10xC42:C2φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):3C10320,1516
(C2xC42):4C10 = C10xC42:2C2φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):4C10320,1530
(C2xC42):5C10 = C5xC24.3C22φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):5C10320,891
(C2xC42):6C10 = C10xC4wrC2φ: C10/C5C2 ⊆ Aut C2xC4280(C2xC4^2):6C10320,921
(C2xC42):7C10 = D4xC2xC20φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):7C10320,1517
(C2xC42):8C10 = C4oD4xC20φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):8C10320,1519
(C2xC42):9C10 = C10xC4.4D4φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):9C10320,1528
(C2xC42):10C10 = C5xC23.36C23φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):10C10320,1531
(C2xC42):11C10 = C10xC4:1D4φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):11C10320,1532
(C2xC42):12C10 = C5xC22.26C24φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2):12C10320,1534

Non-split extensions G=N.Q with N=C2xC42 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC42).1C10 = C5xC22.7C42φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).1C10320,141
(C2xC42).2C10 = C5xC42:4C4φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).2C10320,877
(C2xC42).3C10 = C4:C4xC20φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).3C10320,879
(C2xC42).4C10 = C5xC42:5C4φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).4C10320,884
(C2xC42).5C10 = C5xC23.63C23φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).5C10320,888
(C2xC42).6C10 = C10xC8:C4φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).6C10320,904
(C2xC42).7C10 = C5xC42:6C4φ: C10/C5C2 ⊆ Aut C2xC4280(C2xC4^2).7C10320,144
(C2xC42).8C10 = C5xC42:8C4φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).8C10320,883
(C2xC42).9C10 = C5xC42:9C4φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).9C10320,885
(C2xC42).10C10 = C5xC23.65C23φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).10C10320,890
(C2xC42).11C10 = C5xC23.67C23φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).11C10320,892
(C2xC42).12C10 = M4(2)xC20φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2).12C10320,905
(C2xC42).13C10 = C10xC4:C8φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).13C10320,923
(C2xC42).14C10 = C5xC4:M4(2)φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2).14C10320,924
(C2xC42).15C10 = C5xC42.12C4φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2).15C10320,932
(C2xC42).16C10 = C5xC42.6C4φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2).16C10320,933
(C2xC42).17C10 = Q8xC2xC20φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).17C10320,1518
(C2xC42).18C10 = C10xC42.C2φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).18C10320,1529
(C2xC42).19C10 = C10xC4:Q8φ: C10/C5C2 ⊆ Aut C2xC42320(C2xC4^2).19C10320,1533
(C2xC42).20C10 = C5xC23.37C23φ: C10/C5C2 ⊆ Aut C2xC42160(C2xC4^2).20C10320,1535

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