Extensions 1→N→G→Q→1 with N=C5xDic3 and Q=C6

Direct product G=NxQ with N=C5xDic3 and Q=C6
dρLabelID
Dic3xC30120Dic3xC30360,98

Semidirect products G=N:Q with N=C5xDic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C5xDic3):1C6 = C3xD5xDic3φ: C6/C3C2 ⊆ Out C5xDic3604(C5xDic3):1C6360,58
(C5xDic3):2C6 = C3xD30.C2φ: C6/C3C2 ⊆ Out C5xDic31204(C5xDic3):2C6360,60
(C5xDic3):3C6 = C3xC3:D20φ: C6/C3C2 ⊆ Out C5xDic3604(C5xDic3):3C6360,62
(C5xDic3):4C6 = C15xC3:D4φ: C6/C3C2 ⊆ Out C5xDic3602(C5xDic3):4C6360,99
(C5xDic3):5C6 = S3xC60φ: trivial image1202(C5xDic3):5C6360,96

Non-split extensions G=N.Q with N=C5xDic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C5xDic3).1C6 = C3xC15:Q8φ: C6/C3C2 ⊆ Out C5xDic31204(C5xDic3).1C6360,64
(C5xDic3).2C6 = C15xDic6φ: C6/C3C2 ⊆ Out C5xDic31202(C5xDic3).2C6360,95

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