Extensions 1→N→G→Q→1 with N=Dic15 and Q=C4

Direct product G=NxQ with N=Dic15 and Q=C4
dρLabelID
C4xDic15240C4xDic15240,72

Semidirect products G=N:Q with N=Dic15 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic15:1C4 = Dic3xF5φ: C4/C1C4 ⊆ Out Dic15608-Dic15:1C4240,95
Dic15:2C4 = Dic3:F5φ: C4/C1C4 ⊆ Out Dic15608-Dic15:2C4240,97
Dic15:3C4 = C30.4Q8φ: C4/C2C2 ⊆ Out Dic15240Dic15:3C4240,73
Dic15:4C4 = Dic3xDic5φ: C4/C2C2 ⊆ Out Dic15240Dic15:4C4240,25
Dic15:5C4 = Dic15:5C4φ: C4/C2C2 ⊆ Out Dic15240Dic15:5C4240,30

Non-split extensions G=N.Q with N=Dic15 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic15.1C4 = S3xC5:C8φ: C4/C1C4 ⊆ Out Dic151208-Dic15.1C4240,98
Dic15.2C4 = D6.F5φ: C4/C1C4 ⊆ Out Dic151208-Dic15.2C4240,100
Dic15.3C4 = C40:S3φ: C4/C2C2 ⊆ Out Dic151202Dic15.3C4240,66
Dic15.4C4 = D15:2C8φ: C4/C2C2 ⊆ Out Dic151204Dic15.4C4240,9
Dic15.5C4 = D30.5C4φ: C4/C2C2 ⊆ Out Dic151204Dic15.5C4240,12
Dic15.6C4 = C8xD15φ: trivial image1202Dic15.6C4240,65

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