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Extensions 1→N→G→Q→1 with N=C4×C60 and Q=C2

Direct product G=N×Q with N=C4×C60 and Q=C2
dρLabelID
C2×C4×C60480C2xC4xC60480,919

Semidirect products G=N:Q with N=C4×C60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4×C60)⋊1C2 = C3×C42⋊2D5φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):1C2480,669
(C4×C60)⋊2C2 = C5×C42⋊3S3φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):2C2480,755
(C4×C60)⋊3C2 = C42⋊3D15φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):3C2480,841
(C4×C60)⋊4C2 = C15×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):4C2480,922
(C4×C60)⋊5C2 = C15×C42⋊2C2φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):5C2480,931
(C4×C60)⋊6C2 = C42⋊6D15φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):6C2480,839
(C4×C60)⋊7C2 = C42⋊7D15φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):7C2480,840
(C4×C60)⋊8C2 = D60⋊7C4φ: C2/C1 → C2 ⊆ Aut C4×C601202(C4xC60):8C2480,165
(C4×C60)⋊9C2 = C4×D60φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):9C2480,838
(C4×C60)⋊10C2 = C42×D15φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):10C2480,836
(C4×C60)⋊11C2 = C42⋊2D15φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):11C2480,837
(C4×C60)⋊12C2 = C3×C20⋊4D4φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):12C2480,667
(C4×C60)⋊13C2 = C3×C4.D20φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):13C2480,668
(C4×C60)⋊14C2 = C3×D20⋊4C4φ: C2/C1 → C2 ⊆ Aut C4×C601202(C4xC60):14C2480,83
(C4×C60)⋊15C2 = C12×D20φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):15C2480,666
(C4×C60)⋊16C2 = C5×C4⋊D12φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):16C2480,753
(C4×C60)⋊17C2 = C5×C42⋊7S3φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):17C2480,754
(C4×C60)⋊18C2 = C5×C42⋊4S3φ: C2/C1 → C2 ⊆ Aut C4×C601202(C4xC60):18C2480,124
(C4×C60)⋊19C2 = C20×D12φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):19C2480,752
(C4×C60)⋊20C2 = D5×C4×C12φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):20C2480,664
(C4×C60)⋊21C2 = C3×C42⋊D5φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):21C2480,665
(C4×C60)⋊22C2 = S3×C4×C20φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):22C2480,750
(C4×C60)⋊23C2 = C5×C42⋊2S3φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):23C2480,751
(C4×C60)⋊24C2 = C15×C4≀C2φ: C2/C1 → C2 ⊆ Aut C4×C601202(C4xC60):24C2480,207
(C4×C60)⋊25C2 = D4×C60φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):25C2480,923
(C4×C60)⋊26C2 = C15×C4.4D4φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):26C2480,929
(C4×C60)⋊27C2 = C15×C4⋊1D4φ: C2/C1 → C2 ⊆ Aut C4×C60240(C4xC60):27C2480,932

Non-split extensions G=N.Q with N=C4×C60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4×C60).1C2 = C15×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).1C2480,200
(C4×C60).2C2 = C60⋊8Q8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).2C2480,834
(C4×C60).3C2 = C60.24Q8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).3C2480,835
(C4×C60).4C2 = C60⋊5C8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).4C2480,164
(C4×C60).5C2 = C4×Dic30φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).5C2480,833
(C4×C60).6C2 = C4×C15⋊3C8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).6C2480,162
(C4×C60).7C2 = C42.D15φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).7C2480,163
(C4×C60).8C2 = C3×C20⋊2Q8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).8C2480,662
(C4×C60).9C2 = C3×C20.6Q8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).9C2480,663
(C4×C60).10C2 = C3×C20⋊3C8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).10C2480,82
(C4×C60).11C2 = C12×Dic10φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).11C2480,661
(C4×C60).12C2 = C5×C12⋊2Q8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).12C2480,748
(C4×C60).13C2 = C5×C12.6Q8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).13C2480,749
(C4×C60).14C2 = C5×C12⋊C8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).14C2480,123
(C4×C60).15C2 = C20×Dic6φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).15C2480,747
(C4×C60).16C2 = C12×C5⋊2C8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).16C2480,80
(C4×C60).17C2 = C3×C42.D5φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).17C2480,81
(C4×C60).18C2 = C20×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).18C2480,121
(C4×C60).19C2 = C5×C42.S3φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).19C2480,122
(C4×C60).20C2 = C15×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).20C2480,208
(C4×C60).21C2 = Q8×C60φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).21C2480,924
(C4×C60).22C2 = C15×C42.C2φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).22C2480,930
(C4×C60).23C2 = C15×C4⋊Q8φ: C2/C1 → C2 ⊆ Aut C4×C60480(C4xC60).23C2480,933

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