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

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

Semidirect products G=N:Q with N=C10×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C10×Dic3)⋊1C4 = C15⋊8(C23⋊C4)φ: C4/C1 → C4 ⊆ Out C10×Dic31204(C10xDic3):1C4480,72
(C10×Dic3)⋊2C4 = D10.20D12φ: C4/C1 → C4 ⊆ Out C10×Dic3120(C10xDic3):2C4480,243
(C10×Dic3)⋊3C4 = D10.4D12φ: C4/C1 → C4 ⊆ Out C10×Dic31208+(C10xDic3):3C4480,249
(C10×Dic3)⋊4C4 = C2×Dic3×F5φ: C4/C1 → C4 ⊆ Out C10×Dic3120(C10xDic3):4C4480,998
(C10×Dic3)⋊5C4 = C22⋊F5.S3φ: C4/C1 → C4 ⊆ Out C10×Dic31208-(C10xDic3):5C4480,999
(C10×Dic3)⋊6C4 = C2×Dic3⋊F5φ: C4/C1 → C4 ⊆ Out C10×Dic3120(C10xDic3):6C4480,1001
(C10×Dic3)⋊7C4 = C5×C23.6D6φ: C4/C1 → C4 ⊆ Out C10×Dic31204(C10xDic3):7C4480,125
(C10×Dic3)⋊8C4 = C30.24C42φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3):8C4480,70
(C10×Dic3)⋊9C4 = C2×Dic3×Dic5φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3):9C4480,603
(C10×Dic3)⋊10C4 = C23.26(S3×D5)φ: C4/C2 → C2 ⊆ Out C10×Dic3240(C10xDic3):10C4480,605
(C10×Dic3)⋊11C4 = C2×C6.Dic10φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3):11C4480,621
(C10×Dic3)⋊12C4 = C5×C6.C42φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3):12C4480,150
(C10×Dic3)⋊13C4 = C5×C23.16D6φ: C4/C2 → C2 ⊆ Out C10×Dic3240(C10xDic3):13C4480,756
(C10×Dic3)⋊14C4 = C10×Dic3⋊C4φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3):14C4480,802

Non-split extensions G=N.Q with N=C10×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C10×Dic3).1C4 = C60.54D4φ: C4/C1 → C4 ⊆ Out C10×Dic32404(C10xDic3).1C4480,38
(C10×Dic3).2C4 = Dic3×C5⋊C8φ: C4/C1 → C4 ⊆ Out C10×Dic3480(C10xDic3).2C4480,244
(C10×Dic3).3C4 = C30.M4(2)φ: C4/C1 → C4 ⊆ Out C10×Dic3480(C10xDic3).3C4480,245
(C10×Dic3).4C4 = D30⋊C8φ: C4/C1 → C4 ⊆ Out C10×Dic3240(C10xDic3).4C4480,247
(C10×Dic3).5C4 = Dic5.4D12φ: C4/C1 → C4 ⊆ Out C10×Dic32408-(C10xDic3).5C4480,251
(C10×Dic3).6C4 = C30.4M4(2)φ: C4/C1 → C4 ⊆ Out C10×Dic3480(C10xDic3).6C4480,252
(C10×Dic3).7C4 = Dic15⋊C8φ: C4/C1 → C4 ⊆ Out C10×Dic3480(C10xDic3).7C4480,253
(C10×Dic3).8C4 = C2×D15⋊C8φ: C4/C1 → C4 ⊆ Out C10×Dic3240(C10xDic3).8C4480,1006
(C10×Dic3).9C4 = D15⋊2M4(2)φ: C4/C1 → C4 ⊆ Out C10×Dic31208+(C10xDic3).9C4480,1007
(C10×Dic3).10C4 = C2×Dic3.F5φ: C4/C1 → C4 ⊆ Out C10×Dic3240(C10xDic3).10C4480,1009
(C10×Dic3).11C4 = C5×C12.47D4φ: C4/C1 → C4 ⊆ Out C10×Dic32404(C10xDic3).11C4480,143
(C10×Dic3).12C4 = Dic3×C5⋊2C8φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3).12C4480,26
(C10×Dic3).13C4 = C30.22C42φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3).13C4480,29
(C10×Dic3).14C4 = C60.94D4φ: C4/C2 → C2 ⊆ Out C10×Dic3240(C10xDic3).14C4480,32
(C10×Dic3).15C4 = C60.15Q8φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3).15C4480,60
(C10×Dic3).16C4 = C2×S3×C5⋊2C8φ: C4/C2 → C2 ⊆ Out C10×Dic3240(C10xDic3).16C4480,361
(C10×Dic3).17C4 = S3×C4.Dic5φ: C4/C2 → C2 ⊆ Out C10×Dic31204(C10xDic3).17C4480,363
(C10×Dic3).18C4 = C2×D6.Dic5φ: C4/C2 → C2 ⊆ Out C10×Dic3240(C10xDic3).18C4480,370
(C10×Dic3).19C4 = C5×Dic3⋊C8φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3).19C4480,133
(C10×Dic3).20C4 = C5×C24⋊C4φ: C4/C2 → C2 ⊆ Out C10×Dic3480(C10xDic3).20C4480,134
(C10×Dic3).21C4 = C5×D6⋊C8φ: C4/C2 → C2 ⊆ Out C10×Dic3240(C10xDic3).21C4480,139
(C10×Dic3).22C4 = C10×C8⋊S3φ: C4/C2 → C2 ⊆ Out C10×Dic3240(C10xDic3).22C4480,779
(C10×Dic3).23C4 = C5×S3×M4(2)φ: C4/C2 → C2 ⊆ Out C10×Dic31204(C10xDic3).23C4480,785
(C10×Dic3).24C4 = Dic3×C40φ: trivial image480(C10xDic3).24C4480,132
(C10×Dic3).25C4 = S3×C2×C40φ: trivial image240(C10xDic3).25C4480,778

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