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

Direct product G=N×Q with N=C2×C10 and Q=C10
dρLabelID
C2×C102200C2xC10^2200,52

Semidirect products G=N:Q with N=C2×C10 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊1C10 = D4×C52φ: C10/C5C2 ⊆ Aut C2×C10100(C2xC10):1C10200,38
(C2×C10)⋊2C10 = C5×C5⋊D4φ: C10/C5C2 ⊆ Aut C2×C10202(C2xC10):2C10200,31
(C2×C10)⋊3C10 = D5×C2×C10φ: C10/C5C2 ⊆ Aut C2×C1040(C2xC10):3C10200,50

Non-split extensions G=N.Q with N=C2×C10 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2×C10).1C10 = D4×C25φ: C10/C5C2 ⊆ Aut C2×C101002(C2xC10).1C10200,10
(C2×C10).2C10 = C10×Dic5φ: C10/C5C2 ⊆ Aut C2×C1040(C2xC10).2C10200,30

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