Extensions 1→N→G→Q→1 with N=C2×C30 and Q=C3

Direct product G=N×Q with N=C2×C30 and Q=C3
dρLabelID
C6×C30180C6xC30180,37

Semidirect products G=N:Q with N=C2×C30 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C2×C30)⋊C3 = A4×C15φ: C3/C1C3 ⊆ Aut C2×C30603(C2xC30):C3180,31

Non-split extensions G=N.Q with N=C2×C30 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C2×C30).C3 = C5×C3.A4φ: C3/C1C3 ⊆ Aut C2×C30903(C2xC30).C3180,8

׿
×
𝔽