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Extensions 1→N→G→Q→1 with N=C2×C20 and Q=C8

Direct product G=N×Q with N=C2×C20 and Q=C8
dρLabelID
C2×C4×C40320C2xC4xC40320,903

Semidirect products G=N:Q with N=C2×C20 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C20)⋊1C8 = (C2×C20)⋊1C8φ: C8/C2 → C4 ⊆ Aut C2×C20160(C2xC20):1C8320,251
(C2×C20)⋊2C8 = C10.(C4⋊C8)φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20):2C8320,256
(C2×C20)⋊3C8 = C2×C20⋊C8φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20):3C8320,1085
(C2×C20)⋊4C8 = Dic5.12M4(2)φ: C8/C2 → C4 ⊆ Aut C2×C20160(C2xC20):4C8320,1086
(C2×C20)⋊5C8 = C2×C4×C5⋊C8φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20):5C8320,1084
(C2×C20)⋊6C8 = (C2×C20)⋊C8φ: C8/C2 → C4 ⊆ Aut C2×C20160(C2xC20):6C8320,86
(C2×C20)⋊7C8 = C5×C22.M4(2)φ: C8/C2 → C4 ⊆ Aut C2×C20160(C2xC20):7C8320,129
(C2×C20)⋊8C8 = (C2×C20)⋊8C8φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20):8C8320,82
(C2×C20)⋊9C8 = C5×C22.7C42φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20):9C8320,141
(C2×C20)⋊10C8 = C2×C20⋊3C8φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20):10C8320,550
(C2×C20)⋊11C8 = C42.6Dic5φ: C8/C4 → C2 ⊆ Aut C2×C20160(C2xC20):11C8320,552
(C2×C20)⋊12C8 = C2×C4×C5⋊2C8φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20):12C8320,547
(C2×C20)⋊13C8 = C10×C4⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20):13C8320,923
(C2×C20)⋊14C8 = C5×C42.12C4φ: C8/C4 → C2 ⊆ Aut C2×C20160(C2xC20):14C8320,932

Non-split extensions G=N.Q with N=C2×C20 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C20).1C8 = C20.29M4(2)φ: C8/C2 → C4 ⊆ Aut C2×C20804(C2xC20).1C8320,250
(C2×C20).2C8 = C20⋊C16φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20).2C8320,196
(C2×C20).3C8 = C42.4F5φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20).3C8320,197
(C2×C20).4C8 = C10.6M5(2)φ: C8/C2 → C4 ⊆ Aut C2×C20160(C2xC20).4C8320,249
(C2×C20).5C8 = C2×C20.C8φ: C8/C2 → C4 ⊆ Aut C2×C20160(C2xC20).5C8320,1081
(C2×C20).6C8 = C5⋊M6(2)φ: C8/C2 → C4 ⊆ Aut C2×C201604(C2xC20).6C8320,215
(C2×C20).7C8 = C4×C5⋊C16φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20).7C8320,195
(C2×C20).8C8 = C2×C5⋊C32φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20).8C8320,214
(C2×C20).9C8 = C22×C5⋊C16φ: C8/C2 → C4 ⊆ Aut C2×C20320(C2xC20).9C8320,1080
(C2×C20).10C8 = C40.D4φ: C8/C2 → C4 ⊆ Aut C2×C20804(C2xC20).10C8320,111
(C2×C20).11C8 = C5×C23.C8φ: C8/C2 → C4 ⊆ Aut C2×C20804(C2xC20).11C8320,154
(C2×C20).12C8 = C40.10C8φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20).12C8320,19
(C2×C20).13C8 = C20⋊3C16φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20).13C8320,20
(C2×C20).14C8 = C40.91D4φ: C8/C4 → C2 ⊆ Aut C2×C20160(C2xC20).14C8320,107
(C2×C20).15C8 = C5×C16⋊5C4φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20).15C8320,151
(C2×C20).16C8 = C5×C22⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C20160(C2xC20).16C8320,153
(C2×C20).17C8 = C2×C20.4C8φ: C8/C4 → C2 ⊆ Aut C2×C20160(C2xC20).17C8320,724
(C2×C20).18C8 = C80.9C4φ: C8/C4 → C2 ⊆ Aut C2×C201602(C2xC20).18C8320,57
(C2×C20).19C8 = C4×C5⋊2C16φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20).19C8320,18
(C2×C20).20C8 = C2×C5⋊2C32φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20).20C8320,56
(C2×C20).21C8 = C22×C5⋊2C16φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20).21C8320,723
(C2×C20).22C8 = C5×C4⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C20320(C2xC20).22C8320,168
(C2×C20).23C8 = C5×M6(2)φ: C8/C4 → C2 ⊆ Aut C2×C201602(C2xC20).23C8320,175
(C2×C20).24C8 = C10×M5(2)φ: C8/C4 → C2 ⊆ Aut C2×C20160(C2xC20).24C8320,1004

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