Extensions 1→N→G→Q→1 with N=C33×C6 and Q=C2

Direct product G=N×Q with N=C33×C6 and Q=C2

Semidirect products G=N:Q with N=C33×C6 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C33×C6)⋊1C2 = S3×C32×C6φ: C2/C1C2 ⊆ Aut C33×C6108(C3^3xC6):1C2324,172
(C33×C6)⋊2C2 = C3⋊S3×C3×C6φ: C2/C1C2 ⊆ Aut C33×C636(C3^3xC6):2C2324,173
(C33×C6)⋊3C2 = C6×C33⋊C2φ: C2/C1C2 ⊆ Aut C33×C6108(C3^3xC6):3C2324,174
(C33×C6)⋊4C2 = C2×C34⋊C2φ: C2/C1C2 ⊆ Aut C33×C6162(C3^3xC6):4C2324,175

Non-split extensions G=N.Q with N=C33×C6 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C33×C6).1C2 = Dic3×C33φ: C2/C1C2 ⊆ Aut C33×C6108(C3^3xC6).1C2324,155
(C33×C6).2C2 = C32×C3⋊Dic3φ: C2/C1C2 ⊆ Aut C33×C636(C3^3xC6).2C2324,156
(C33×C6).3C2 = C3×C335C4φ: C2/C1C2 ⊆ Aut C33×C6108(C3^3xC6).3C2324,157
(C33×C6).4C2 = C348C4φ: C2/C1C2 ⊆ Aut C33×C6324(C3^3xC6).4C2324,158