Extensions 1→N→G→Q→1 with N=C2×C10 and Q=Q16

Direct product G=N×Q with N=C2×C10 and Q=Q16
dρLabelID
Q16×C2×C10320Q16xC2xC10320,1573

Semidirect products G=N:Q with N=C2×C10 and Q=Q16
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊1Q16 = C22⋊Dic20φ: Q16/C4C22 ⊆ Aut C2×C10160(C2xC10):1Q16320,366
(C2×C10)⋊2Q16 = Dic10.37D4φ: Q16/C4C22 ⊆ Aut C2×C10160(C2xC10):2Q16320,677
(C2×C10)⋊3Q16 = (C2×C10)⋊Q16φ: Q16/C4C22 ⊆ Aut C2×C10160(C2xC10):3Q16320,678
(C2×C10)⋊4Q16 = C5×C8.18D4φ: Q16/C8C2 ⊆ Aut C2×C10160(C2xC10):4Q16320,968
(C2×C10)⋊5Q16 = C40.82D4φ: Q16/C8C2 ⊆ Aut C2×C10160(C2xC10):5Q16320,743
(C2×C10)⋊6Q16 = C22×Dic20φ: Q16/C8C2 ⊆ Aut C2×C10320(C2xC10):6Q16320,1414
(C2×C10)⋊7Q16 = C5×C22⋊Q16φ: Q16/Q8C2 ⊆ Aut C2×C10160(C2xC10):7Q16320,952
(C2×C10)⋊8Q16 = (C2×C10)⋊8Q16φ: Q16/Q8C2 ⊆ Aut C2×C10160(C2xC10):8Q16320,855
(C2×C10)⋊9Q16 = C22×C5⋊Q16φ: Q16/Q8C2 ⊆ Aut C2×C10320(C2xC10):9Q16320,1481

Non-split extensions G=N.Q with N=C2×C10 and Q=Q16
extensionφ:Q→Aut NdρLabelID
(C2×C10).1Q16 = C23.30D20φ: Q16/C4C22 ⊆ Aut C2×C1080(C2xC10).1Q16320,25
(C2×C10).2Q16 = C40.7Q8φ: Q16/C4C22 ⊆ Aut C2×C101604(C2xC10).2Q16320,51
(C2×C10).3Q16 = C10.29C4≀C2φ: Q16/C4C22 ⊆ Aut C2×C1080(C2xC10).3Q16320,96
(C2×C10).4Q16 = C23.35D20φ: Q16/C4C22 ⊆ Aut C2×C10160(C2xC10).4Q16320,349
(C2×C10).5Q16 = (C2×C10).Q16φ: Q16/C4C22 ⊆ Aut C2×C10160(C2xC10).5Q16320,671
(C2×C10).6Q16 = C5×C8.4Q8φ: Q16/C8C2 ⊆ Aut C2×C101602(C2xC10).6Q16320,173
(C2×C10).7Q16 = C80.6C4φ: Q16/C8C2 ⊆ Aut C2×C101602(C2xC10).7Q16320,64
(C2×C10).8Q16 = C20.39C42φ: Q16/C8C2 ⊆ Aut C2×C10320(C2xC10).8Q16320,109
(C2×C10).9Q16 = C2×C20.44D4φ: Q16/C8C2 ⊆ Aut C2×C10320(C2xC10).9Q16320,730
(C2×C10).10Q16 = C2×C405C4φ: Q16/C8C2 ⊆ Aut C2×C10320(C2xC10).10Q16320,732
(C2×C10).11Q16 = C5×C23.31D4φ: Q16/Q8C2 ⊆ Aut C2×C1080(C2xC10).11Q16320,133
(C2×C10).12Q16 = C5×C23.48D4φ: Q16/Q8C2 ⊆ Aut C2×C10160(C2xC10).12Q16320,985
(C2×C10).13Q16 = C4⋊Dic5⋊C4φ: Q16/Q8C2 ⊆ Aut C2×C1080(C2xC10).13Q16320,10
(C2×C10).14Q16 = C20.31C42φ: Q16/Q8C2 ⊆ Aut C2×C10320(C2xC10).14Q16320,87
(C2×C10).15Q16 = C2×C10.D8φ: Q16/Q8C2 ⊆ Aut C2×C10320(C2xC10).15Q16320,589
(C2×C10).16Q16 = C2×C10.Q16φ: Q16/Q8C2 ⊆ Aut C2×C10320(C2xC10).16Q16320,596
(C2×C10).17Q16 = C4⋊C4.230D10φ: Q16/Q8C2 ⊆ Aut C2×C10160(C2xC10).17Q16320,597
(C2×C10).18Q16 = C2×Q8⋊Dic5φ: Q16/Q8C2 ⊆ Aut C2×C10320(C2xC10).18Q16320,851
(C2×C10).19Q16 = C5×C22.4Q16central extension (φ=1)320(C2xC10).19Q16320,145
(C2×C10).20Q16 = C10×Q8⋊C4central extension (φ=1)320(C2xC10).20Q16320,916
(C2×C10).21Q16 = C10×C2.D8central extension (φ=1)320(C2xC10).21Q16320,927

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