Extensions 1→N→G→Q→1 with N=C6 and Q=C3×D5

Direct product G=N×Q with N=C6 and Q=C3×D5
dρLabelID
D5×C3×C690D5xC3xC6180,32

Semidirect products G=N:Q with N=C6 and Q=C3×D5
extensionφ:Q→Aut NdρLabelID
C6⋊(C3×D5) = C6×D15φ: C3×D5/C15C2 ⊆ Aut C6602C6:(C3xD5)180,34

Non-split extensions G=N.Q with N=C6 and Q=C3×D5
extensionφ:Q→Aut NdρLabelID
C6.(C3×D5) = C3×Dic15φ: C3×D5/C15C2 ⊆ Aut C6602C6.(C3xD5)180,15
C6.2(C3×D5) = C9×Dic5central extension (φ=1)1802C6.2(C3xD5)180,2
C6.3(C3×D5) = D5×C18central extension (φ=1)902C6.3(C3xD5)180,9
C6.4(C3×D5) = C32×Dic5central extension (φ=1)180C6.4(C3xD5)180,13

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