Extensions 1→N→G→Q→1 with N=Dic15 and Q=C6

Direct product G=NxQ with N=Dic15 and Q=C6
dρLabelID
C6xDic15120C6xDic15360,103

Semidirect products G=N:Q with N=Dic15 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic15:1C6 = C3xC15:7D4φ: C6/C3C2 ⊆ Out Dic15602Dic15:1C6360,104
Dic15:2C6 = C3xD5xDic3φ: C6/C3C2 ⊆ Out Dic15604Dic15:2C6360,58
Dic15:3C6 = C3xS3xDic5φ: C6/C3C2 ⊆ Out Dic151204Dic15:3C6360,59
Dic15:4C6 = C3xC15:D4φ: C6/C3C2 ⊆ Out Dic15604Dic15:4C6360,61
Dic15:5C6 = C12xD15φ: trivial image1202Dic15:5C6360,101

Non-split extensions G=N.Q with N=Dic15 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic15.1C6 = C3xDic30φ: C6/C3C2 ⊆ Out Dic151202Dic15.1C6360,100
Dic15.2C6 = C3xC15:Q8φ: C6/C3C2 ⊆ Out Dic151204Dic15.2C6360,64

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