Extensions 1→N→G→Q→1 with N=C15 and Q=C12

Direct product G=NxQ with N=C15 and Q=C12
dρLabelID
C3xC60180C3xC60180,18

Semidirect products G=N:Q with N=C15 and Q=C12
extensionφ:Q→Aut NdρLabelID
C15:1C12 = C3xC3:F5φ: C12/C3C4 ⊆ Aut C15304C15:1C12180,21
C15:2C12 = C32xF5φ: C12/C3C4 ⊆ Aut C1545C15:2C12180,20
C15:3C12 = C3xDic15φ: C12/C6C2 ⊆ Aut C15602C15:3C12180,15
C15:4C12 = C32xDic5φ: C12/C6C2 ⊆ Aut C15180C15:4C12180,13
C15:5C12 = Dic3xC15φ: C12/C6C2 ⊆ Aut C15602C15:5C12180,14

Non-split extensions G=N.Q with N=C15 and Q=C12
extensionφ:Q→Aut NdρLabelID
C15.C12 = C9xF5φ: C12/C3C4 ⊆ Aut C15454C15.C12180,5
C15.2C12 = C9xDic5φ: C12/C6C2 ⊆ Aut C151802C15.2C12180,2

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