Extensions 1→N→G→Q→1 with N=C5×C22⋊C4 and Q=C4

Direct product G=N×Q with N=C5×C22⋊C4 and Q=C4
dρLabelID
C22⋊C4×C20160C2^2:C4xC20320,878

Semidirect products G=N:Q with N=C5×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4)⋊1C4 = C5⋊C2≀C4φ: C4/C1C4 ⊆ Out C5×C22⋊C4408+(C5xC2^2:C4):1C4320,202
(C5×C22⋊C4)⋊2C4 = C22⋊C4⋊F5φ: C4/C1C4 ⊆ Out C5×C22⋊C4808-(C5xC2^2:C4):2C4320,203
(C5×C22⋊C4)⋊3C4 = (C22×F5)⋊C4φ: C4/C1C4 ⊆ Out C5×C22⋊C4408+(C5xC2^2:C4):3C4320,204
(C5×C22⋊C4)⋊4C4 = D10⋊(C4⋊C4)φ: C4/C1C4 ⊆ Out C5×C22⋊C440(C5xC2^2:C4):4C4320,1037
(C5×C22⋊C4)⋊5C4 = C10.(C4×D4)φ: C4/C1C4 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):5C4320,1038
(C5×C22⋊C4)⋊6C4 = C22⋊C4×F5φ: C4/C1C4 ⊆ Out C5×C22⋊C440(C5xC2^2:C4):6C4320,1036
(C5×C22⋊C4)⋊7C4 = C242Dic5φ: C4/C1C4 ⊆ Out C5×C22⋊C4404(C5xC2^2:C4):7C4320,94
(C5×C22⋊C4)⋊8C4 = (C22×C20)⋊C4φ: C4/C1C4 ⊆ Out C5×C22⋊C4804(C5xC2^2:C4):8C4320,97
(C5×C22⋊C4)⋊9C4 = C5×C2≀C4φ: C4/C1C4 ⊆ Out C5×C22⋊C4404(C5xC2^2:C4):9C4320,156
(C5×C22⋊C4)⋊10C4 = C5×C23.D4φ: C4/C1C4 ⊆ Out C5×C22⋊C4804(C5xC2^2:C4):10C4320,157
(C5×C22⋊C4)⋊11C4 = C24.2D10φ: C4/C2C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):11C4320,85
(C5×C22⋊C4)⋊12C4 = C5×C23.9D4φ: C4/C2C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):12C4320,147
(C5×C22⋊C4)⋊13C4 = C24.47D10φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4):13C4320,577
(C5×C22⋊C4)⋊14C4 = C24.8D10φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4):14C4320,578
(C5×C22⋊C4)⋊15C4 = C22⋊C4×Dic5φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4):15C4320,568
(C5×C22⋊C4)⋊16C4 = C5×C23.8Q8φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4):16C4320,886
(C5×C22⋊C4)⋊17C4 = C5×C24.C22φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4):17C4320,889

Non-split extensions G=N.Q with N=C5×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4).1C4 = C22⋊C4.F5φ: C4/C1C4 ⊆ Out C5×C22⋊C4808-(C5xC2^2:C4).1C4320,205
(C5×C22⋊C4).2C4 = C5⋊C8⋊D4φ: C4/C1C4 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).2C4320,1031
(C5×C22⋊C4).3C4 = C20⋊C8⋊C2φ: C4/C1C4 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).3C4320,1034
(C5×C22⋊C4).4C4 = D10⋊M4(2)φ: C4/C1C4 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).4C4320,1032
(C5×C22⋊C4).5C4 = Dic5⋊M4(2)φ: C4/C1C4 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).5C4320,1033
(C5×C22⋊C4).6C4 = C23.(C2×F5)φ: C4/C1C4 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).6C4320,1035
(C5×C22⋊C4).7C4 = Dic5.C42φ: C4/C1C4 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).7C4320,1029
(C5×C22⋊C4).8C4 = C5⋊C88D4φ: C4/C1C4 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).8C4320,1030
(C5×C22⋊C4).9C4 = C20.60(C4⋊C4)φ: C4/C2C2 ⊆ Out C5×C22⋊C4804(C5xC2^2:C4).9C4320,91
(C5×C22⋊C4).10C4 = C5×M4(2)⋊4C4φ: C4/C2C2 ⊆ Out C5×C22⋊C4804(C5xC2^2:C4).10C4320,149
(C5×C22⋊C4).11C4 = C42.43D10φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).11C4320,626
(C5×C22⋊C4).12C4 = C42.187D10φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).12C4320,627
(C5×C22⋊C4).13C4 = C42.47D10φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).13C4320,638
(C5×C22⋊C4).14C4 = C207M4(2)φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).14C4320,639
(C5×C22⋊C4).15C4 = C20.35C42φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).15C4320,624
(C5×C22⋊C4).16C4 = D4×C52C8φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).16C4320,637
(C5×C22⋊C4).17C4 = C5×C42.6C22φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).17C4320,925
(C5×C22⋊C4).18C4 = C5×C42.7C22φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).18C4320,934
(C5×C22⋊C4).19C4 = C5×C89D4φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).19C4320,936
(C5×C22⋊C4).20C4 = C5×C86D4φ: C4/C2C2 ⊆ Out C5×C22⋊C4160(C5xC2^2:C4).20C4320,937
(C5×C22⋊C4).21C4 = C5×C82M4(2)φ: trivial image160(C5xC2^2:C4).21C4320,906
(C5×C22⋊C4).22C4 = D4×C40φ: trivial image160(C5xC2^2:C4).22C4320,935

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