Extensions 1→N→G→Q→1 with N=C15 and Q=C2×A4

Direct product G=N×Q with N=C15 and Q=C2×A4
dρLabelID
A4×C30903A4xC30360,156

Semidirect products G=N:Q with N=C15 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
C151(C2×A4) = A4×D15φ: C2×A4/A4C2 ⊆ Aut C15606+C15:1(C2xA4)360,144
C152(C2×A4) = C3×D5×A4φ: C2×A4/A4C2 ⊆ Aut C15606C15:2(C2xA4)360,142
C153(C2×A4) = C5×S3×A4φ: C2×A4/A4C2 ⊆ Aut C15606C15:3(C2xA4)360,143

Non-split extensions G=N.Q with N=C15 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
C15.(C2×A4) = D5×C3.A4φ: C2×A4/A4C2 ⊆ Aut C15906C15.(C2xA4)360,42
C15.2(C2×A4) = C10×C3.A4central extension (φ=1)903C15.2(C2xA4)360,46

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