Extensions 1→N→G→Q→1 with N=Dic15 and Q=C2

Direct product G=NxQ with N=Dic15 and Q=C2
dρLabelID
C2xDic15120C2xDic15120,29

Semidirect products G=N:Q with N=Dic15 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic15:1C2 = C15:7D4φ: C2/C1C2 ⊆ Out Dic15602Dic15:1C2120,30
Dic15:2C2 = D5xDic3φ: C2/C1C2 ⊆ Out Dic15604-Dic15:2C2120,8
Dic15:3C2 = S3xDic5φ: C2/C1C2 ⊆ Out Dic15604-Dic15:3C2120,9
Dic15:4C2 = C15:D4φ: C2/C1C2 ⊆ Out Dic15604-Dic15:4C2120,11
Dic15:5C2 = C4xD15φ: trivial image602Dic15:5C2120,27

Non-split extensions G=N.Q with N=Dic15 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic15.1C2 = Dic30φ: C2/C1C2 ⊆ Out Dic151202-Dic15.1C2120,26
Dic15.2C2 = C15:Q8φ: C2/C1C2 ⊆ Out Dic151204-Dic15.2C2120,14

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