Extensions 1→N→G→Q→1 with N=C4xDic3 and Q=C10

Direct product G=NxQ with N=C4xDic3 and Q=C10
dρLabelID
Dic3xC2xC20480Dic3xC2xC20480,801

Semidirect products G=N:Q with N=C4xDic3 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4xDic3):1C10 = C5xD12:C4φ: C10/C5C2 ⊆ Out C4xDic31204(C4xDic3):1C10480,144
(C4xDic3):2C10 = C5xQ8:3Dic3φ: C10/C5C2 ⊆ Out C4xDic31204(C4xDic3):2C10480,156
(C4xDic3):3C10 = C5xDic3:5D4φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):3C10480,772
(C4xDic3):4C10 = C5xD4xDic3φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):4C10480,813
(C4xDic3):5C10 = C5xC23.12D6φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):5C10480,815
(C4xDic3):6C10 = C5xC12:3D4φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):6C10480,819
(C4xDic3):7C10 = C5xC12.23D4φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):7C10480,826
(C4xDic3):8C10 = C5xC42:2S3φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):8C10480,751
(C4xDic3):9C10 = C5xC23.16D6φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):9C10480,756
(C4xDic3):10C10 = C5xC23.8D6φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):10C10480,758
(C4xDic3):11C10 = C5xDic3:4D4φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):11C10480,760
(C4xDic3):12C10 = C5xC23.11D6φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):12C10480,764
(C4xDic3):13C10 = C5xC4:C4:7S3φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):13C10480,771
(C4xDic3):14C10 = C5xC4:C4:S3φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):14C10480,777
(C4xDic3):15C10 = C5xC23.26D6φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):15C10480,805
(C4xDic3):16C10 = C20xC3:D4φ: C10/C5C2 ⊆ Out C4xDic3240(C4xDic3):16C10480,807
(C4xDic3):17C10 = S3xC4xC20φ: trivial image240(C4xDic3):17C10480,750

Non-split extensions G=N.Q with N=C4xDic3 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4xDic3).1C10 = C5xDic6:C4φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).1C10480,766
(C4xDic3).2C10 = C5xC12:Q8φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).2C10480,767
(C4xDic3).3C10 = C5xC4.Dic6φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).3C10480,769
(C4xDic3).4C10 = C5xDic3:Q8φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).4C10480,823
(C4xDic3).5C10 = C5xQ8xDic3φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).5C10480,824
(C4xDic3).6C10 = C5xDic3:C8φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).6C10480,133
(C4xDic3).7C10 = C5xC24:C4φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).7C10480,134
(C4xDic3).8C10 = C20xDic6φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).8C10480,747
(C4xDic3).9C10 = C5xDic3.Q8φ: C10/C5C2 ⊆ Out C4xDic3480(C4xDic3).9C10480,768
(C4xDic3).10C10 = Dic3xC40φ: trivial image480(C4xDic3).10C10480,132

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