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Extensions 1→N→G→Q→1 with N=C2×Dic5 and Q=Dic3

Direct product G=N×Q with N=C2×Dic5 and Q=Dic3
dρLabelID
C2×Dic3×Dic5480C2xDic3xDic5480,603

Semidirect products G=N:Q with N=C2×Dic5 and Q=Dic3
extensionφ:Q→Out NdρLabelID
(C2×Dic5)⋊1Dic3 = (C2×C6).D20φ: Dic3/C3 → C4 ⊆ Out C2×Dic51204(C2xDic5):1Dic3480,71
(C2×Dic5)⋊2Dic3 = C3⋊(C23⋊F5)φ: Dic3/C3 → C4 ⊆ Out C2×Dic51204(C2xDic5):2Dic3480,316
(C2×Dic5)⋊3Dic3 = C30.24C42φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5):3Dic3480,70
(C2×Dic5)⋊4Dic3 = (C6×Dic5)⋊7C4φ: Dic3/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5):4Dic3480,604
(C2×Dic5)⋊5Dic3 = C2×C30.Q8φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5):5Dic3480,617
(C2×Dic5)⋊6Dic3 = D10.10D12φ: Dic3/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):6Dic3480,311
(C2×Dic5)⋊7Dic3 = C2×C4×C3⋊F5φ: Dic3/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):7Dic3480,1063
(C2×Dic5)⋊8Dic3 = C2×C60⋊C4φ: Dic3/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):8Dic3480,1064
(C2×Dic5)⋊9Dic3 = (C2×C12)⋊6F5φ: Dic3/C6 → C2 ⊆ Out C2×Dic51204(C2xDic5):9Dic3480,1065

Non-split extensions G=N.Q with N=C2×Dic5 and Q=Dic3
extensionφ:Q→Out NdρLabelID
(C2×Dic5).1Dic3 = C12.6D20φ: Dic3/C3 → C4 ⊆ Out C2×Dic52404(C2xDic5).1Dic3480,37
(C2×Dic5).2Dic3 = (C2×C60).C4φ: Dic3/C3 → C4 ⊆ Out C2×Dic52404(C2xDic5).2Dic3480,310
(C2×Dic5).3Dic3 = C30.21C42φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).3Dic3480,28
(C2×Dic5).4Dic3 = C60.93D4φ: Dic3/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).4Dic3480,31
(C2×Dic5).5Dic3 = C60.13Q8φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).5Dic3480,58
(C2×Dic5).6Dic3 = D5×C4.Dic3φ: Dic3/C6 → C2 ⊆ Out C2×Dic51204(C2xDic5).6Dic3480,358
(C2×Dic5).7Dic3 = C2×C20.32D6φ: Dic3/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).7Dic3480,369
(C2×Dic5).8Dic3 = C4×C15⋊C8φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).8Dic3480,305
(C2×Dic5).9Dic3 = C60⋊C8φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).9Dic3480,306
(C2×Dic5).10Dic3 = C30.11C42φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).10Dic3480,307
(C2×Dic5).11Dic3 = Dic5.13D12φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).11Dic3480,309
(C2×Dic5).12Dic3 = C30.22M4(2)φ: Dic3/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).12Dic3480,317
(C2×Dic5).13Dic3 = C22×C15⋊C8φ: Dic3/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).13Dic3480,1070
(C2×Dic5).14Dic3 = C2×C15⋊8M4(2)φ: Dic3/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).14Dic3480,1071
(C2×Dic5).15Dic3 = Dic5×C3⋊C8φ: trivial image480(C2xDic5).15Dic3480,25
(C2×Dic5).16Dic3 = C2×D5×C3⋊C8φ: trivial image240(C2xDic5).16Dic3480,357

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