Extensions 1→N→G→Q→1 with N=C4 and Q=C3⋊D15

Direct product G=N×Q with N=C4 and Q=C3⋊D15
dρLabelID
C4×C3⋊D15180C4xC3:D15360,111

Semidirect products G=N:Q with N=C4 and Q=C3⋊D15
extensionφ:Q→Aut NdρLabelID
C4⋊(C3⋊D15) = C60⋊S3φ: C3⋊D15/C3×C15C2 ⊆ Aut C4180C4:(C3:D15)360,112

Non-split extensions G=N.Q with N=C4 and Q=C3⋊D15
extensionφ:Q→Aut NdρLabelID
C4.(C3⋊D15) = C12.D15φ: C3⋊D15/C3×C15C2 ⊆ Aut C4360C4.(C3:D15)360,110
C4.2(C3⋊D15) = C60.S3central extension (φ=1)360C4.2(C3:D15)360,37

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