Extensions 1→N→G→Q→1 with N=C33xC6 and Q=C3

Direct product G=NxQ with N=C33xC6 and Q=C3
dρLabelID
C34xC6486C3^4xC6486,261

Semidirect products G=N:Q with N=C33xC6 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C33xC6):1C3 = C2xC32:He3φ: C3/C1C3 ⊆ Aut C33xC654(C3^3xC6):1C3486,196
(C33xC6):2C3 = C6xC3wrC3φ: C3/C1C3 ⊆ Aut C33xC654(C3^3xC6):2C3486,210
(C33xC6):3C3 = C3xC6xHe3φ: C3/C1C3 ⊆ Aut C33xC6162(C3^3xC6):3C3486,251

Non-split extensions G=N.Q with N=C33xC6 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C33xC6).1C3 = C2xC33:C9φ: C3/C1C3 ⊆ Aut C33xC654(C3^3xC6).1C3486,73
(C33xC6).2C3 = C6xC32:C9φ: C3/C1C3 ⊆ Aut C33xC6162(C3^3xC6).2C3486,191
(C33xC6).3C3 = C2xC34.C3φ: C3/C1C3 ⊆ Aut C33xC654(C3^3xC6).3C3486,197
(C33xC6).4C3 = C3xC6x3- 1+2φ: C3/C1C3 ⊆ Aut C33xC6162(C3^3xC6).4C3486,252

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