Extensions 1→N→G→Q→1 with N=C4×Dic3 and Q=D5

Direct product G=N×Q with N=C4×Dic3 and Q=D5
dρLabelID
C4×D5×Dic3240C4xD5xDic3480,467

Semidirect products G=N:Q with N=C4×Dic3 and Q=D5
extensionφ:Q→Out NdρLabelID
(C4×Dic3)⋊1D5 = C60.97D4φ: D5/C5C2 ⊆ Out C4×Dic31204(C4xDic3):1D5480,53
(C4×Dic3)⋊2D5 = D6013C4φ: D5/C5C2 ⊆ Out C4×Dic31204(C4xDic3):2D5480,56
(C4×Dic3)⋊3D5 = C60.44D4φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):3D5480,440
(C4×Dic3)⋊4D5 = C60.47D4φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):4D5480,450
(C4×Dic3)⋊5D5 = Dic3×D20φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):5D5480,501
(C4×Dic3)⋊6D5 = D6014C4φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):6D5480,504
(C4×Dic3)⋊7D5 = C12⋊D20φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):7D5480,534
(C4×Dic3)⋊8D5 = Dic3.D20φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):8D5480,429
(C4×Dic3)⋊9D5 = (D5×C12)⋊C4φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):9D5480,433
(C4×Dic3)⋊10D5 = (C4×Dic3)⋊D5φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):10D5480,439
(C4×Dic3)⋊11D5 = C10.D4⋊S3φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):11D5480,456
(C4×Dic3)⋊12D5 = (C4×D15)⋊10C4φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):12D5480,462
(C4×Dic3)⋊13D5 = (D5×Dic3)⋊C4φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):13D5480,469
(C4×Dic3)⋊14D5 = Dic34D20φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):14D5480,471
(C4×Dic3)⋊15D5 = D30.23(C2×C4)φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):15D5480,479
(C4×Dic3)⋊16D5 = C4×C3⋊D20φ: D5/C5C2 ⊆ Out C4×Dic3240(C4xDic3):16D5480,519
(C4×Dic3)⋊17D5 = C4×D30.C2φ: trivial image240(C4xDic3):17D5480,477

Non-split extensions G=N.Q with N=C4×Dic3 and Q=D5
extensionφ:Q→Out NdρLabelID
(C4×Dic3).1D5 = Dic3×Dic10φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).1D5480,406
(C4×Dic3).2D5 = Dic3014C4φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).2D5480,416
(C4×Dic3).3D5 = C60.6Q8φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).3D5480,457
(C4×Dic3).4D5 = C60.48D4φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).4D5480,465
(C4×Dic3).5D5 = C204Dic6φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).5D5480,545
(C4×Dic3).6D5 = C30.22C42φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).6D5480,29
(C4×Dic3).7D5 = C60.15Q8φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).7D5480,60
(C4×Dic3).8D5 = Dic35Dic10φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).8D5480,400
(C4×Dic3).9D5 = Dic3.3Dic10φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).9D5480,455
(C4×Dic3).10D5 = C4×C15⋊Q8φ: D5/C5C2 ⊆ Out C4×Dic3480(C4xDic3).10D5480,543
(C4×Dic3).11D5 = Dic3×C52C8φ: trivial image480(C4xDic3).11D5480,26

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