Extensions 1→N→G→Q→1 with N=C32 and Q=C3×C15

Direct product G=N×Q with N=C32 and Q=C3×C15

Semidirect products G=N:Q with N=C32 and Q=C3×C15
extensionφ:Q→Aut NdρLabelID
C32⋊(C3×C15) = C15×He3φ: C3×C15/C15C3 ⊆ Aut C32135C3^2:(C3xC15)405,12

Non-split extensions G=N.Q with N=C32 and Q=C3×C15
extensionφ:Q→Aut NdρLabelID
C32.1(C3×C15) = C5×C3≀C3φ: C3×C15/C15C3 ⊆ Aut C32453C3^2.1(C3xC15)405,7
C32.2(C3×C15) = C5×He3.C3φ: C3×C15/C15C3 ⊆ Aut C321353C3^2.2(C3xC15)405,8
C32.3(C3×C15) = C5×He3⋊C3φ: C3×C15/C15C3 ⊆ Aut C321353C3^2.3(C3xC15)405,9
C32.4(C3×C15) = C5×C3.He3φ: C3×C15/C15C3 ⊆ Aut C321353C3^2.4(C3xC15)405,10
C32.5(C3×C15) = C15×3- 1+2φ: C3×C15/C15C3 ⊆ Aut C32135C3^2.5(C3xC15)405,13
C32.6(C3×C15) = C5×C9○He3φ: C3×C15/C15C3 ⊆ Aut C321353C3^2.6(C3xC15)405,14
C32.7(C3×C15) = C5×C32⋊C9central extension (φ=1)135C3^2.7(C3xC15)405,3
C32.8(C3×C15) = C5×C9⋊C9central extension (φ=1)405C3^2.8(C3xC15)405,4