Extensions 1→N→G→Q→1 with N=C4×Dic3 and Q=C10

Direct product G=N×Q with N=C4×Dic3 and Q=C10
dρLabelID
Dic3×C2×C20480Dic3xC2xC20480,801

Semidirect products G=N:Q with N=C4×Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×Dic3)⋊1C10 = C5×D12⋊C4φ: C10/C5C2 ⊆ Out C4×Dic31204(C4xDic3):1C10480,144
(C4×Dic3)⋊2C10 = C5×Q83Dic3φ: C10/C5C2 ⊆ Out C4×Dic31204(C4xDic3):2C10480,156
(C4×Dic3)⋊3C10 = C5×Dic35D4φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):3C10480,772
(C4×Dic3)⋊4C10 = C5×D4×Dic3φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):4C10480,813
(C4×Dic3)⋊5C10 = C5×C23.12D6φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):5C10480,815
(C4×Dic3)⋊6C10 = C5×C123D4φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):6C10480,819
(C4×Dic3)⋊7C10 = C5×C12.23D4φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):7C10480,826
(C4×Dic3)⋊8C10 = C5×C422S3φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):8C10480,751
(C4×Dic3)⋊9C10 = C5×C23.16D6φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):9C10480,756
(C4×Dic3)⋊10C10 = C5×C23.8D6φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):10C10480,758
(C4×Dic3)⋊11C10 = C5×Dic34D4φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):11C10480,760
(C4×Dic3)⋊12C10 = C5×C23.11D6φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):12C10480,764
(C4×Dic3)⋊13C10 = C5×C4⋊C47S3φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):13C10480,771
(C4×Dic3)⋊14C10 = C5×C4⋊C4⋊S3φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):14C10480,777
(C4×Dic3)⋊15C10 = C5×C23.26D6φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):15C10480,805
(C4×Dic3)⋊16C10 = C20×C3⋊D4φ: C10/C5C2 ⊆ Out C4×Dic3240(C4xDic3):16C10480,807
(C4×Dic3)⋊17C10 = S3×C4×C20φ: trivial image240(C4xDic3):17C10480,750

Non-split extensions G=N.Q with N=C4×Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×Dic3).1C10 = C5×Dic6⋊C4φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).1C10480,766
(C4×Dic3).2C10 = C5×C12⋊Q8φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).2C10480,767
(C4×Dic3).3C10 = C5×C4.Dic6φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).3C10480,769
(C4×Dic3).4C10 = C5×Dic3⋊Q8φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).4C10480,823
(C4×Dic3).5C10 = C5×Q8×Dic3φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).5C10480,824
(C4×Dic3).6C10 = C5×Dic3⋊C8φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).6C10480,133
(C4×Dic3).7C10 = C5×C24⋊C4φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).7C10480,134
(C4×Dic3).8C10 = C20×Dic6φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).8C10480,747
(C4×Dic3).9C10 = C5×Dic3.Q8φ: C10/C5C2 ⊆ Out C4×Dic3480(C4xDic3).9C10480,768
(C4×Dic3).10C10 = Dic3×C40φ: trivial image480(C4xDic3).10C10480,132

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