# Extensions 1→N→G→Q→1 with N=C42 and Q=D15

Direct product G=N×Q with N=C42 and Q=D15
dρLabelID
C42×D15240C4^2xD15480,836

Semidirect products G=N:Q with N=C42 and Q=D15
extensionφ:Q→Aut NdρLabelID
C42⋊D15 = C42⋊D15φ: D15/C5S3 ⊆ Aut C42606+C4^2:D15480,258
C422D15 = C422D15φ: D15/C15C2 ⊆ Aut C42240C4^2:2D15480,837
C423D15 = C423D15φ: D15/C15C2 ⊆ Aut C42240C4^2:3D15480,841
C424D15 = D607C4φ: D15/C15C2 ⊆ Aut C421202C4^2:4D15480,165
C425D15 = C4×D60φ: D15/C15C2 ⊆ Aut C42240C4^2:5D15480,838
C426D15 = C426D15φ: D15/C15C2 ⊆ Aut C42240C4^2:6D15480,839
C427D15 = C427D15φ: D15/C15C2 ⊆ Aut C42240C4^2:7D15480,840

Non-split extensions G=N.Q with N=C42 and Q=D15
extensionφ:Q→Aut NdρLabelID
C42.1D15 = C42.D15φ: D15/C15C2 ⊆ Aut C42480C4^2.1D15480,163
C42.2D15 = C605C8φ: D15/C15C2 ⊆ Aut C42480C4^2.2D15480,164
C42.3D15 = C4×Dic30φ: D15/C15C2 ⊆ Aut C42480C4^2.3D15480,833
C42.4D15 = C608Q8φ: D15/C15C2 ⊆ Aut C42480C4^2.4D15480,834
C42.5D15 = C60.24Q8φ: D15/C15C2 ⊆ Aut C42480C4^2.5D15480,835
C42.6D15 = C4×C153C8central extension (φ=1)480C4^2.6D15480,162

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