# Extensions 1→N→G→Q→1 with N=C2×D4 and Q=C3×D5

Direct product G=N×Q with N=C2×D4 and Q=C3×D5
dρLabelID
C6×D4×D5120C6xD4xD5480,1139

Semidirect products G=N:Q with N=C2×D4 and Q=C3×D5
extensionφ:Q→Out NdρLabelID
(C2×D4)⋊1(C3×D5) = C6×D4⋊D5φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4):1(C3xD5)480,724
(C2×D4)⋊2(C3×D5) = C3×D4.D10φ: C3×D5/C15C2 ⊆ Out C2×D41204(C2xD4):2(C3xD5)480,725
(C2×D4)⋊3(C3×D5) = C3×C23⋊D10φ: C3×D5/C15C2 ⊆ Out C2×D4120(C2xD4):3(C3xD5)480,730
(C2×D4)⋊4(C3×D5) = C3×C202D4φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4):4(C3xD5)480,731
(C2×D4)⋊5(C3×D5) = C3×Dic5⋊D4φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4):5(C3xD5)480,732
(C2×D4)⋊6(C3×D5) = C3×C20⋊D4φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4):6(C3xD5)480,733
(C2×D4)⋊7(C3×D5) = C3×D46D10φ: C3×D5/C15C2 ⊆ Out C2×D41204(C2xD4):7(C3xD5)480,1141
(C2×D4)⋊8(C3×D5) = C6×D42D5φ: trivial image240(C2xD4):8(C3xD5)480,1140

Non-split extensions G=N.Q with N=C2×D4 and Q=C3×D5
extensionφ:Q→Out NdρLabelID
(C2×D4).1(C3×D5) = C3×D4⋊Dic5φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4).1(C3xD5)480,110
(C2×D4).2(C3×D5) = C3×C20.D4φ: C3×D5/C15C2 ⊆ Out C2×D41204(C2xD4).2(C3xD5)480,111
(C2×D4).3(C3×D5) = C3×C23⋊Dic5φ: C3×D5/C15C2 ⊆ Out C2×D41204(C2xD4).3(C3xD5)480,112
(C2×D4).4(C3×D5) = C6×D4.D5φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4).4(C3xD5)480,726
(C2×D4).5(C3×D5) = C3×C23.18D10φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4).5(C3xD5)480,728
(C2×D4).6(C3×D5) = C3×C20.17D4φ: C3×D5/C15C2 ⊆ Out C2×D4240(C2xD4).6(C3xD5)480,729
(C2×D4).7(C3×D5) = C3×D4×Dic5φ: trivial image240(C2xD4).7(C3xD5)480,727

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