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Extensions 1→N→G→Q→1 with N=C5×Q16 and Q=C4

Direct product G=N×Q with N=C5×Q16 and Q=C4
dρLabelID
Q16×C20320Q16xC20320,940

Semidirect products G=N:Q with N=C5×Q16 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×Q16)⋊1C4 = D40⋊1C4φ: C4/C1 → C4 ⊆ Out C5×Q16808+(C5xQ16):1C4320,245
(C5×Q16)⋊2C4 = Dic20⋊C4φ: C4/C1 → C4 ⊆ Out C5×Q16808-(C5xQ16):2C4320,1077
(C5×Q16)⋊3C4 = Q16⋊F5φ: C4/C1 → C4 ⊆ Out C5×Q16808+(C5xQ16):3C4320,1079
(C5×Q16)⋊4C4 = D5.Q32φ: C4/C1 → C4 ⊆ Out C5×Q16808-(C5xQ16):4C4320,246
(C5×Q16)⋊5C4 = Q16×F5φ: C4/C1 → C4 ⊆ Out C5×Q16808-(C5xQ16):5C4320,1076
(C5×Q16)⋊6C4 = Q16⋊5F5φ: C4/C1 → C4 ⊆ Out C5×Q16808+(C5xQ16):6C4320,1078
(C5×Q16)⋊7C4 = C40.15D4φ: C4/C2 → C2 ⊆ Out C5×Q16320(C5xQ16):7C4320,122
(C5×Q16)⋊8C4 = Q16×Dic5φ: C4/C2 → C2 ⊆ Out C5×Q16320(C5xQ16):8C4320,810
(C5×Q16)⋊9C4 = D8⋊5Dic5φ: C4/C2 → C2 ⊆ Out C5×Q16804(C5xQ16):9C4320,823
(C5×Q16)⋊10C4 = D8⋊2Dic5φ: C4/C2 → C2 ⊆ Out C5×Q16804(C5xQ16):10C4320,124
(C5×Q16)⋊11C4 = Q16⋊Dic5φ: C4/C2 → C2 ⊆ Out C5×Q16320(C5xQ16):11C4320,811
(C5×Q16)⋊12C4 = D8⋊4Dic5φ: C4/C2 → C2 ⊆ Out C5×Q16804(C5xQ16):12C4320,824
(C5×Q16)⋊13C4 = C5×C2.Q32φ: C4/C2 → C2 ⊆ Out C5×Q16320(C5xQ16):13C4320,163
(C5×Q16)⋊14C4 = C5×D8⋊2C4φ: C4/C2 → C2 ⊆ Out C5×Q16804(C5xQ16):14C4320,165
(C5×Q16)⋊15C4 = C5×Q16⋊C4φ: C4/C2 → C2 ⊆ Out C5×Q16320(C5xQ16):15C4320,942
(C5×Q16)⋊16C4 = C5×C8.26D4φ: C4/C2 → C2 ⊆ Out C5×Q16804(C5xQ16):16C4320,945
(C5×Q16)⋊17C4 = C5×C8○D8φ: trivial image802(C5xQ16):17C4320,944

Non-split extensions G=N.Q with N=C5×Q16 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×Q16).1C4 = Dic20.C4φ: C4/C1 → C4 ⊆ Out C5×Q161608-(C5xQ16).1C4320,248
(C5×Q16).2C4 = Q16.F5φ: C4/C1 → C4 ⊆ Out C5×Q161608+(C5xQ16).2C4320,247
(C5×Q16).3C4 = C20.58D8φ: C4/C2 → C2 ⊆ Out C5×Q161604(C5xQ16).3C4320,125
(C5×Q16).4C4 = Q16.Dic5φ: C4/C2 → C2 ⊆ Out C5×Q161604(C5xQ16).4C4320,123
(C5×Q16).5C4 = C5×D8.C4φ: C4/C2 → C2 ⊆ Out C5×Q161602(C5xQ16).5C4320,164
(C5×Q16).6C4 = C5×C8.17D4φ: C4/C2 → C2 ⊆ Out C5×Q161604(C5xQ16).6C4320,167

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