# Extensions 1→N→G→Q→1 with N=C22×C8 and Q=C10

Direct product G=N×Q with N=C22×C8 and Q=C10
dρLabelID
C23×C40320C2^3xC40320,1567

Semidirect products G=N:Q with N=C22×C8 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C22×C8)⋊1C10 = C10×C22⋊C8φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):1C10320,907
(C22×C8)⋊2C10 = C5×(C22×C8)⋊C2φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):2C10320,909
(C22×C8)⋊3C10 = C10×D4⋊C4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):3C10320,915
(C22×C8)⋊4C10 = C5×C23.24D4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):4C10320,917
(C22×C8)⋊5C10 = D4×C40φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):5C10320,935
(C22×C8)⋊6C10 = C5×C87D4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):6C10320,967
(C22×C8)⋊7C10 = D8×C2×C10φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):7C10320,1571
(C22×C8)⋊8C10 = C10×C4○D8φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):8C10320,1574
(C22×C8)⋊9C10 = C5×C88D4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):9C10320,966
(C22×C8)⋊10C10 = SD16×C2×C10φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):10C10320,1572
(C22×C8)⋊11C10 = C5×C89D4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):11C10320,936
(C22×C8)⋊12C10 = M4(2)×C2×C10φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):12C10320,1568
(C22×C8)⋊13C10 = C10×C8○D4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8):13C10320,1569

Non-split extensions G=N.Q with N=C22×C8 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C22×C8).1C10 = C5×C22.7C42φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).1C10320,141
(C22×C8).2C10 = C5×C22.4Q16φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).2C10320,145
(C22×C8).3C10 = C5×C4.C42φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).3C10320,146
(C22×C8).4C10 = C5×C22⋊C16φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).4C10320,153
(C22×C8).5C10 = C10×Q8⋊C4φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).5C10320,916
(C22×C8).6C10 = C10×C4⋊C8φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).6C10320,923
(C22×C8).7C10 = C5×C42.6C22φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).7C10320,925
(C22×C8).8C10 = C10×C2.D8φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).8C10320,927
(C22×C8).9C10 = C5×C8.18D4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).9C10320,968
(C22×C8).10C10 = Q16×C2×C10φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).10C10320,1573
(C22×C8).11C10 = C5×C23.25D4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).11C10320,928
(C22×C8).12C10 = C10×C8.C4φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).12C10320,930
(C22×C8).13C10 = C10×C4.Q8φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).13C10320,926
(C22×C8).14C10 = C10×C8⋊C4φ: C10/C5C2 ⊆ Aut C22×C8320(C2^2xC8).14C10320,904
(C22×C8).15C10 = C5×C82M4(2)φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).15C10320,906
(C22×C8).16C10 = C10×M5(2)φ: C10/C5C2 ⊆ Aut C22×C8160(C2^2xC8).16C10320,1004

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