Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C14

Direct product G=N×Q with N=C3×C6 and Q=C14
dρLabelID
C6×C42252C6xC42252,46

Semidirect products G=N:Q with N=C3×C6 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊1C14 = S3×C42φ: C14/C7C2 ⊆ Aut C3×C6842(C3xC6):1C14252,42
(C3×C6)⋊2C14 = C14×C3⋊S3φ: C14/C7C2 ⊆ Aut C3×C6126(C3xC6):2C14252,44

Non-split extensions G=N.Q with N=C3×C6 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C3×C6).1C14 = Dic3×C21φ: C14/C7C2 ⊆ Aut C3×C6842(C3xC6).1C14252,21
(C3×C6).2C14 = C7×C3⋊Dic3φ: C14/C7C2 ⊆ Aut C3×C6252(C3xC6).2C14252,23

׿
×
𝔽