Extensions 1→N→G→Q→1 with N=C30 and Q=C2

Direct product G=NxQ with N=C30 and Q=C2
dρLabelID
C2xC3060C2xC3060,13

Semidirect products G=N:Q with N=C30 and Q=C2
extensionφ:Q→Aut NdρLabelID
C30:1C2 = D30φ: C2/C1C2 ⊆ Aut C30302+C30:1C260,12
C30:2C2 = C6xD5φ: C2/C1C2 ⊆ Aut C30302C30:2C260,10
C30:3C2 = S3xC10φ: C2/C1C2 ⊆ Aut C30302C30:3C260,11

Non-split extensions G=N.Q with N=C30 and Q=C2
extensionφ:Q→Aut NdρLabelID
C30.1C2 = Dic15φ: C2/C1C2 ⊆ Aut C30602-C30.1C260,3
C30.2C2 = C3xDic5φ: C2/C1C2 ⊆ Aut C30602C30.2C260,2
C30.3C2 = C5xDic3φ: C2/C1C2 ⊆ Aut C30602C30.3C260,1

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