Extensions 1→N→G→Q→1 with N=C15 and Q=D5

Direct product G=NxQ with N=C15 and Q=D5
dρLabelID
D5xC15302D5xC15150,8

Semidirect products G=N:Q with N=C15 and Q=D5
extensionφ:Q→Aut NdρLabelID
C15:1D5 = C5:D15φ: D5/C5C2 ⊆ Aut C1575C15:1D5150,12
C15:2D5 = C3xC5:D5φ: D5/C5C2 ⊆ Aut C1575C15:2D5150,9
C15:3D5 = C5xD15φ: D5/C5C2 ⊆ Aut C15302C15:3D5150,11

Non-split extensions G=N.Q with N=C15 and Q=D5
extensionφ:Q→Aut NdρLabelID
C15.1D5 = D75φ: D5/C5C2 ⊆ Aut C15752+C15.1D5150,3
C15.2D5 = C3xD25φ: D5/C5C2 ⊆ Aut C15752C15.2D5150,2

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