Extensions 1→N→G→Q→1 with N=C2×C10 and Q=Q8

Direct product G=N×Q with N=C2×C10 and Q=Q8
dρLabelID
Q8×C2×C10160Q8xC2xC10160,230

Semidirect products G=N:Q with N=C2×C10 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊Q8 = Dic5.14D4φ: Q8/C2C22 ⊆ Aut C2×C1080(C2xC10):Q8160,99
(C2×C10)⋊2Q8 = C5×C22⋊Q8φ: Q8/C4C2 ⊆ Aut C2×C1080(C2xC10):2Q8160,183
(C2×C10)⋊3Q8 = C20.48D4φ: Q8/C4C2 ⊆ Aut C2×C1080(C2xC10):3Q8160,145
(C2×C10)⋊4Q8 = C22×Dic10φ: Q8/C4C2 ⊆ Aut C2×C10160(C2xC10):4Q8160,213

Non-split extensions G=N.Q with N=C2×C10 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C10).Q8 = C20.53D4φ: Q8/C2C22 ⊆ Aut C2×C10804(C2xC10).Q8160,29
(C2×C10).2Q8 = C5×C8.C4φ: Q8/C4C2 ⊆ Aut C2×C10802(C2xC10).2Q8160,58
(C2×C10).3Q8 = C40.6C4φ: Q8/C4C2 ⊆ Aut C2×C10802(C2xC10).3Q8160,26
(C2×C10).4Q8 = C10.10C42φ: Q8/C4C2 ⊆ Aut C2×C10160(C2xC10).4Q8160,38
(C2×C10).5Q8 = C2×C10.D4φ: Q8/C4C2 ⊆ Aut C2×C10160(C2xC10).5Q8160,144
(C2×C10).6Q8 = C2×C4⋊Dic5φ: Q8/C4C2 ⊆ Aut C2×C10160(C2xC10).6Q8160,146
(C2×C10).7Q8 = C5×C2.C42central extension (φ=1)160(C2xC10).7Q8160,45
(C2×C10).8Q8 = C10×C4⋊C4central extension (φ=1)160(C2xC10).8Q8160,177

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