Extensions 1→N→G→Q→1 with N=C4xC8 and Q=C10

Direct product G=NxQ with N=C4xC8 and Q=C10
dρLabelID
C2xC4xC40320C2xC4xC40320,903

Semidirect products G=N:Q with N=C4xC8 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C4xC8):1C10 = C5xD4:C8φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):1C10320,130
(C4xC8):2C10 = C5xC42.12C4φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):2C10320,932
(C4xC8):3C10 = C5xC42.7C22φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):3C10320,934
(C4xC8):4C10 = D4xC40φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):4C10320,935
(C4xC8):5C10 = C5xC4.4D8φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):5C10320,987
(C4xC8):6C10 = C5xC42.78C22φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):6C10320,989
(C4xC8):7C10 = D8xC20φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):7C10320,938
(C4xC8):8C10 = C5xC8:4D4φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):8C10320,994
(C4xC8):9C10 = C5xC8.12D4φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):9C10320,996
(C4xC8):10C10 = C5xC8oD8φ: C10/C5C2 ⊆ Aut C4xC8802(C4xC8):10C10320,944
(C4xC8):11C10 = SD16xC20φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):11C10320,939
(C4xC8):12C10 = C5xC8:5D4φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):12C10320,993
(C4xC8):13C10 = M4(2)xC20φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):13C10320,905
(C4xC8):14C10 = C5xC8o2M4(2)φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):14C10320,906
(C4xC8):15C10 = C5xC8:6D4φ: C10/C5C2 ⊆ Aut C4xC8160(C4xC8):15C10320,937

Non-split extensions G=N.Q with N=C4xC8 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C4xC8).1C10 = C5xQ8:C8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).1C10320,131
(C4xC8).2C10 = C5xC4:C16φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).2C10320,168
(C4xC8).3C10 = Q8xC40φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).3C10320,946
(C4xC8).4C10 = C5xC4.SD16φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).4C10320,988
(C4xC8).5C10 = C5xC8:1C8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).5C10320,140
(C4xC8).6C10 = Q16xC20φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).6C10320,940
(C4xC8).7C10 = C5xC4:Q16φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).7C10320,995
(C4xC8).8C10 = C5xC8:2Q8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).8C10320,1001
(C4xC8).9C10 = C5xC8.5Q8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).9C10320,1000
(C4xC8).10C10 = C5xC8.C8φ: C10/C5C2 ⊆ Aut C4xC8802(C4xC8).10C10320,169
(C4xC8).11C10 = C5xC8:2C8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).11C10320,139
(C4xC8).12C10 = C5xC8:3Q8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).12C10320,999
(C4xC8).13C10 = C5xC8:C8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).13C10320,127
(C4xC8).14C10 = C5xC16:5C4φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).14C10320,151
(C4xC8).15C10 = C5xC8:4Q8φ: C10/C5C2 ⊆ Aut C4xC8320(C4xC8).15C10320,947

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