Extensions 1→N→G→Q→1 with N=D10 and Q=D9

Direct product G=N×Q with N=D10 and Q=D9
dρLabelID
C2×D5×D9904+C2xD5xD9360,45

Semidirect products G=N:Q with N=D10 and Q=D9
extensionφ:Q→Out NdρLabelID
D101D9 = C45⋊D4φ: D9/C9C2 ⊆ Out D101804-D10:1D9360,12
D102D9 = C9⋊D20φ: D9/C9C2 ⊆ Out D101804+D10:2D9360,13

Non-split extensions G=N.Q with N=D10 and Q=D9
extensionφ:Q→Out NdρLabelID
D10.D9 = C2×C9⋊F5φ: D9/C9C2 ⊆ Out D10904D10.D9360,44
D10.2D9 = D5×Dic9φ: trivial image1804-D10.2D9360,11

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