# Extensions 1→N→G→Q→1 with N=C5×D4 and Q=C10

Direct product G=N×Q with N=C5×D4 and Q=C10
dρLabelID
D4×C5×C10200D4xC5xC10400,202

Semidirect products G=N:Q with N=C5×D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C5×D4)⋊1C10 = C5×D4⋊D5φ: C10/C5C2 ⊆ Out C5×D4404(C5xD4):1C10400,87
(C5×D4)⋊2C10 = C5×D4×D5φ: C10/C5C2 ⊆ Out C5×D4404(C5xD4):2C10400,185
(C5×D4)⋊3C10 = C5×D42D5φ: C10/C5C2 ⊆ Out C5×D4404(C5xD4):3C10400,186
(C5×D4)⋊4C10 = D8×C52φ: C10/C5C2 ⊆ Out C5×D4200(C5xD4):4C10400,113
(C5×D4)⋊5C10 = C4○D4×C52φ: trivial image200(C5xD4):5C10400,204

Non-split extensions G=N.Q with N=C5×D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C5×D4).1C10 = C5×D4.D5φ: C10/C5C2 ⊆ Out C5×D4404(C5xD4).1C10400,88
(C5×D4).2C10 = D8×C25φ: C10/C5C2 ⊆ Out C5×D42002(C5xD4).2C10400,25
(C5×D4).3C10 = SD16×C25φ: C10/C5C2 ⊆ Out C5×D42002(C5xD4).3C10400,26
(C5×D4).4C10 = SD16×C52φ: C10/C5C2 ⊆ Out C5×D4200(C5xD4).4C10400,114
(C5×D4).5C10 = D4×C50φ: trivial image200(C5xD4).5C10400,46
(C5×D4).6C10 = C4○D4×C25φ: trivial image2002(C5xD4).6C10400,48

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