Extensions 1→N→G→Q→1 with N=Dic5 and Q=C3xQ8

Direct product G=NxQ with N=Dic5 and Q=C3xQ8
dρLabelID
C3xQ8xDic5480C3xQ8xDic5480,738

Semidirect products G=N:Q with N=Dic5 and Q=C3xQ8
extensionφ:Q→Out NdρLabelID
Dic5:1(C3xQ8) = C3xC20:Q8φ: C3xQ8/C12C2 ⊆ Out Dic5480Dic5:1(C3xQ8)480,681
Dic5:2(C3xQ8) = C3xDic5:Q8φ: C3xQ8/C12C2 ⊆ Out Dic5480Dic5:2(C3xQ8)480,737
Dic5:3(C3xQ8) = C3xDic5:3Q8φ: trivial image480Dic5:3(C3xQ8)480,680

Non-split extensions G=N.Q with N=Dic5 and Q=C3xQ8
extensionφ:Q→Out NdρLabelID
Dic5.1(C3xQ8) = C3xDic5.Q8φ: C3xQ8/C12C2 ⊆ Out Dic5480Dic5.1(C3xQ8)480,682
Dic5.2(C3xQ8) = C3xC40:C4φ: C3xQ8/C12C2 ⊆ Out Dic51204Dic5.2(C3xQ8)480,273
Dic5.3(C3xQ8) = C3xD5.D8φ: C3xQ8/C12C2 ⊆ Out Dic51204Dic5.3(C3xQ8)480,274
Dic5.4(C3xQ8) = C3xC20:C8φ: C3xQ8/C12C2 ⊆ Out Dic5480Dic5.4(C3xQ8)480,281
Dic5.5(C3xQ8) = C3xDic5:C8φ: C3xQ8/C12C2 ⊆ Out Dic5480Dic5.5(C3xQ8)480,284

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