# Extensions 1→N→G→Q→1 with N=C4×D5 and Q=C10

Direct product G=N×Q with N=C4×D5 and Q=C10
dρLabelID
D5×C2×C2080D5xC2xC20400,182

Semidirect products G=N:Q with N=C4×D5 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×D5)⋊1C10 = C5×D4×D5φ: C10/C5C2 ⊆ Out C4×D5404(C4xD5):1C10400,185
(C4×D5)⋊2C10 = C5×D42D5φ: C10/C5C2 ⊆ Out C4×D5404(C4xD5):2C10400,186
(C4×D5)⋊3C10 = C5×Q82D5φ: C10/C5C2 ⊆ Out C4×D5804(C4xD5):3C10400,188
(C4×D5)⋊4C10 = C5×C4○D20φ: C10/C5C2 ⊆ Out C4×D5402(C4xD5):4C10400,184

Non-split extensions G=N.Q with N=C4×D5 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×D5).1C10 = C5×Q8×D5φ: C10/C5C2 ⊆ Out C4×D5804(C4xD5).1C10400,187
(C4×D5).2C10 = C5×C8⋊D5φ: C10/C5C2 ⊆ Out C4×D5802(C4xD5).2C10400,77
(C4×D5).3C10 = C5×C4.F5φ: C10/C5C2 ⊆ Out C4×D5804(C4xD5).3C10400,136
(C4×D5).4C10 = C5×C4⋊F5φ: C10/C5C2 ⊆ Out C4×D5804(C4xD5).4C10400,138
(C4×D5).5C10 = C5×D5⋊C8φ: C10/C5C2 ⊆ Out C4×D5804(C4xD5).5C10400,135
(C4×D5).6C10 = C20×F5φ: C10/C5C2 ⊆ Out C4×D5804(C4xD5).6C10400,137
(C4×D5).7C10 = D5×C40φ: trivial image802(C4xD5).7C10400,76

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