Extensions 1→N→G→Q→1 with N=Dic3 and Q=Dic10

Direct product G=N×Q with N=Dic3 and Q=Dic10

Semidirect products G=N:Q with N=Dic3 and Q=Dic10
extensionφ:Q→Out NdρLabelID
Dic31Dic10 = Dic151Q8φ: Dic10/Dic5C2 ⊆ Out Dic3480Dic3:1Dic10480,403
Dic32Dic10 = Dic3⋊Dic10φ: Dic10/Dic5C2 ⊆ Out Dic3480Dic3:2Dic10480,404
Dic33Dic10 = C60.48D4φ: Dic10/C20C2 ⊆ Out Dic3480Dic3:3Dic10480,465
Dic34Dic10 = C204Dic6φ: Dic10/C20C2 ⊆ Out Dic3480Dic3:4Dic10480,545
Dic35Dic10 = Dic35Dic10φ: trivial image480Dic3:5Dic10480,400
Dic36Dic10 = Dic3014C4φ: trivial image480Dic3:6Dic10480,416

Non-split extensions G=N.Q with N=Dic3 and Q=Dic10
extensionφ:Q→Out NdρLabelID
Dic3.1Dic10 = Dic3.Dic10φ: Dic10/Dic5C2 ⊆ Out Dic3480Dic3.1Dic10480,419
Dic3.2Dic10 = Dic3.2Dic10φ: Dic10/Dic5C2 ⊆ Out Dic3480Dic3.2Dic10480,422
Dic3.3Dic10 = Dic3.3Dic10φ: Dic10/C20C2 ⊆ Out Dic3480Dic3.3Dic10480,455