Extensions 1→N→G→Q→1 with N=C3 and Q=D5xC15

Direct product G=NxQ with N=C3 and Q=D5xC15
dρLabelID
D5xC3xC1590D5xC3xC15450,26

Semidirect products G=N:Q with N=C3 and Q=D5xC15
extensionφ:Q→Aut NdρLabelID
C3:(D5xC15) = C15xD15φ: D5xC15/C5xC15C2 ⊆ Aut C3302C3:(D5xC15)450,29

Non-split extensions G=N.Q with N=C3 and Q=D5xC15
extensionφ:Q→Aut NdρLabelID
C3.(D5xC15) = D5xC45central extension (φ=1)902C3.(D5xC15)450,14

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