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Extensions 1→N→G→Q→1 with N=C2×C20 and Q=C4

Direct product G=N×Q with N=C2×C20 and Q=C4
dρLabelID
C2×C4×C20160C2xC4xC20160,175

Semidirect products G=N:Q with N=C2×C20 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C20)⋊1C4 = D10.D4φ: C4/C1 → C4 ⊆ Aut C2×C20404+(C2xC20):1C4160,74
(C2×C20)⋊2C4 = D10.3Q8φ: C4/C1 → C4 ⊆ Aut C2×C2040(C2xC20):2C4160,81
(C2×C20)⋊3C4 = C2×C4⋊F5φ: C4/C1 → C4 ⊆ Aut C2×C2040(C2xC20):3C4160,204
(C2×C20)⋊4C4 = D10.C23φ: C4/C1 → C4 ⊆ Aut C2×C20404(C2xC20):4C4160,205
(C2×C20)⋊5C4 = C2×C4×F5φ: C4/C1 → C4 ⊆ Aut C2×C2040(C2xC20):5C4160,203
(C2×C20)⋊6C4 = C23⋊Dic5φ: C4/C1 → C4 ⊆ Aut C2×C20404(C2xC20):6C4160,41
(C2×C20)⋊7C4 = C5×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C20404(C2xC20):7C4160,49
(C2×C20)⋊8C4 = C10.10C42φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20):8C4160,38
(C2×C20)⋊9C4 = C5×C2.C42φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20):9C4160,45
(C2×C20)⋊10C4 = C2×C4⋊Dic5φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20):10C4160,146
(C2×C20)⋊11C4 = C23.21D10φ: C4/C2 → C2 ⊆ Aut C2×C2080(C2xC20):11C4160,147
(C2×C20)⋊12C4 = C2×C4×Dic5φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20):12C4160,143
(C2×C20)⋊13C4 = C10×C4⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20):13C4160,177
(C2×C20)⋊14C4 = C5×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C2×C2080(C2xC20):14C4160,178

Non-split extensions G=N.Q with N=C2×C20 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C20).1C4 = Dic5.D4φ: C4/C1 → C4 ⊆ Aut C2×C20804-(C2xC20).1C4160,80
(C2×C20).2C4 = C10.C42φ: C4/C1 → C4 ⊆ Aut C2×C20160(C2xC20).2C4160,77
(C2×C20).3C4 = D10⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C2080(C2xC20).3C4160,78
(C2×C20).4C4 = Dic5⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C20160(C2xC20).4C4160,79
(C2×C20).5C4 = C20⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C20160(C2xC20).5C4160,76
(C2×C20).6C4 = C2×C4.F5φ: C4/C1 → C4 ⊆ Aut C2×C2080(C2xC20).6C4160,201
(C2×C20).7C4 = C20.C8φ: C4/C1 → C4 ⊆ Aut C2×C20804(C2xC20).7C4160,73
(C2×C20).8C4 = D5⋊M4(2)φ: C4/C1 → C4 ⊆ Aut C2×C20404(C2xC20).8C4160,202
(C2×C20).9C4 = C2×C5⋊C16φ: C4/C1 → C4 ⊆ Aut C2×C20160(C2xC20).9C4160,72
(C2×C20).10C4 = C4×C5⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C20160(C2xC20).10C4160,75
(C2×C20).11C4 = C2×D5⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C2080(C2xC20).11C4160,200
(C2×C20).12C4 = C20.10D4φ: C4/C1 → C4 ⊆ Aut C2×C20804(C2xC20).12C4160,43
(C2×C20).13C4 = C5×C4.10D4φ: C4/C1 → C4 ⊆ Aut C2×C20804(C2xC20).13C4160,51
(C2×C20).14C4 = C42.D5φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20).14C4160,10
(C2×C20).15C4 = C20.55D4φ: C4/C2 → C2 ⊆ Aut C2×C2080(C2xC20).15C4160,37
(C2×C20).16C4 = C5×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20).16C4160,47
(C2×C20).17C4 = C5×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C2080(C2xC20).17C4160,48
(C2×C20).18C4 = C20⋊3C8φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20).18C4160,11
(C2×C20).19C4 = C20.4C8φ: C4/C2 → C2 ⊆ Aut C2×C20802(C2xC20).19C4160,19
(C2×C20).20C4 = C2×C4.Dic5φ: C4/C2 → C2 ⊆ Aut C2×C2080(C2xC20).20C4160,142
(C2×C20).21C4 = C4×C5⋊2C8φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20).21C4160,9
(C2×C20).22C4 = C2×C5⋊2C16φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20).22C4160,18
(C2×C20).23C4 = C22×C5⋊2C8φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20).23C4160,141
(C2×C20).24C4 = C5×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C20160(C2xC20).24C4160,55
(C2×C20).25C4 = C5×M5(2)φ: C4/C2 → C2 ⊆ Aut C2×C20802(C2xC20).25C4160,60
(C2×C20).26C4 = C10×M4(2)φ: C4/C2 → C2 ⊆ Aut C2×C2080(C2xC20).26C4160,191

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