Extensions 1→N→G→Q→1 with N=C33xC6 and Q=C2

Direct product G=NxQ with N=C33xC6 and Q=C2
dρLabelID
C32xC62324C3^2xC6^2324,176

Semidirect products G=N:Q with N=C33xC6 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C33xC6):1C2 = S3xC32xC6φ: C2/C1C2 ⊆ Aut C33xC6108(C3^3xC6):1C2324,172
(C33xC6):2C2 = C3:S3xC3xC6φ: C2/C1C2 ⊆ Aut C33xC636(C3^3xC6):2C2324,173
(C33xC6):3C2 = C6xC33:C2φ: C2/C1C2 ⊆ Aut C33xC6108(C3^3xC6):3C2324,174
(C33xC6):4C2 = C2xC34:C2φ: C2/C1C2 ⊆ Aut C33xC6162(C3^3xC6):4C2324,175

Non-split extensions G=N.Q with N=C33xC6 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C33xC6).1C2 = Dic3xC33φ: C2/C1C2 ⊆ Aut C33xC6108(C3^3xC6).1C2324,155
(C33xC6).2C2 = C32xC3:Dic3φ: C2/C1C2 ⊆ Aut C33xC636(C3^3xC6).2C2324,156
(C33xC6).3C2 = C3xC33:5C4φ: C2/C1C2 ⊆ Aut C33xC6108(C3^3xC6).3C2324,157
(C33xC6).4C2 = C34:8C4φ: C2/C1C2 ⊆ Aut C33xC6324(C3^3xC6).4C2324,158

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