Extensions 1→N→G→Q→1 with N=C5×C4○D4 and Q=C4

Direct product G=N×Q with N=C5×C4○D4 and Q=C4
dρLabelID
C4○D4×C20160C4oD4xC20320,1519

Semidirect products G=N:Q with N=C5×C4○D4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×C4○D4)⋊1C4 = D5⋊C4≀C2φ: C4/C1C4 ⊆ Out C5×C4○D4408(C5xC4oD4):1C4320,1130
(C5×C4○D4)⋊2C4 = C4○D4⋊F5φ: C4/C1C4 ⊆ Out C5×C4○D4408(C5xC4oD4):2C4320,1131
(C5×C4○D4)⋊3C4 = C4○D20⋊C4φ: C4/C1C4 ⊆ Out C5×C4○D4808(C5xC4oD4):3C4320,1132
(C5×C4○D4)⋊4C4 = D4⋊F5⋊C2φ: C4/C1C4 ⊆ Out C5×C4○D4808(C5xC4oD4):4C4320,1133
(C5×C4○D4)⋊5C4 = C4○D4×F5φ: C4/C1C4 ⊆ Out C5×C4○D4408(C5xC4oD4):5C4320,1603
(C5×C4○D4)⋊6C4 = D5.2+ 1+4φ: C4/C1C4 ⊆ Out C5×C4○D4408(C5xC4oD4):6C4320,1604
(C5×C4○D4)⋊7C4 = C4○D4⋊Dic5φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):7C4320,859
(C5×C4○D4)⋊8C4 = C20.(C2×D4)φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):8C4320,860
(C5×C4○D4)⋊9C4 = C2×D42Dic5φ: C4/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4):9C4320,862
(C5×C4○D4)⋊10C4 = (D4×C10)⋊21C4φ: C4/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4):10C4320,863
(C5×C4○D4)⋊11C4 = C4○D4×Dic5φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):11C4320,1498
(C5×C4○D4)⋊12C4 = C10.1062- 1+4φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):12C4320,1499
(C5×C4○D4)⋊13C4 = C5×C23.24D4φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):13C4320,917
(C5×C4○D4)⋊14C4 = C5×C23.36D4φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):14C4320,918
(C5×C4○D4)⋊15C4 = C10×C4≀C2φ: C4/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4):15C4320,921
(C5×C4○D4)⋊16C4 = C5×C42⋊C22φ: C4/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4):16C4320,922
(C5×C4○D4)⋊17C4 = C5×C23.33C23φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):17C4320,1522

Non-split extensions G=N.Q with N=C5×C4○D4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×C4○D4).1C4 = D4.(C5⋊C8)φ: C4/C1C4 ⊆ Out C5×C4○D41608(C5xC4oD4).1C4320,270
(C5×C4○D4).2C4 = C5⋊C16.C22φ: C4/C1C4 ⊆ Out C5×C4○D41608(C5xC4oD4).2C4320,1129
(C5×C4○D4).3C4 = Dic5.21C24φ: C4/C1C4 ⊆ Out C5×C4○D4808(C5xC4oD4).3C4320,1601
(C5×C4○D4).4C4 = Dic5.22C24φ: C4/C1C4 ⊆ Out C5×C4○D4808(C5xC4oD4).4C4320,1602
(C5×C4○D4).5C4 = C40.92D4φ: C4/C2C2 ⊆ Out C5×C4○D41604(C5xC4oD4).5C4320,119
(C5×C4○D4).6C4 = C40.70C23φ: C4/C2C2 ⊆ Out C5×C4○D41604(C5xC4oD4).6C4320,767
(C5×C4○D4).7C4 = C2×D4.Dic5φ: C4/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4).7C4320,1490
(C5×C4○D4).8C4 = C20.76C24φ: C4/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).8C4320,1491
(C5×C4○D4).9C4 = C5×D4.C8φ: C4/C2C2 ⊆ Out C5×C4○D41602(C5xC4oD4).9C4320,155
(C5×C4○D4).10C4 = C5×Q8○M4(2)φ: C4/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).10C4320,1570
(C5×C4○D4).11C4 = C5×D4○C16φ: trivial image1602(C5xC4oD4).11C4320,1005
(C5×C4○D4).12C4 = C10×C8○D4φ: trivial image160(C5xC4oD4).12C4320,1569

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