Extensions 1→N→G→Q→1 with N=C9 and Q=C32xC6

Direct product G=NxQ with N=C9 and Q=C32xC6
dρLabelID
C33xC18486C3^3xC18486,250

Semidirect products G=N:Q with N=C9 and Q=C32xC6
extensionφ:Q→Aut NdρLabelID
C9:(C32xC6) = C32xC9:C6φ: C32xC6/C32C6 ⊆ Aut C954C9:(C3^2xC6)486,224
C9:2(C32xC6) = C3xC6x3- 1+2φ: C32xC6/C3xC6C3 ⊆ Aut C9162C9:2(C3^2xC6)486,252
C9:3(C32xC6) = D9xC33φ: C32xC6/C33C2 ⊆ Aut C9162C9:3(C3^2xC6)486,220

Non-split extensions G=N.Q with N=C9 and Q=C32xC6
extensionφ:Q→Aut NdρLabelID
C9.1(C32xC6) = C6xC9oHe3φ: C32xC6/C3xC6C3 ⊆ Aut C9162C9.1(C3^2xC6)486,253
C9.2(C32xC6) = C2x3- 1+4φ: C32xC6/C3xC6C3 ⊆ Aut C9549C9.2(C3^2xC6)486,255
C9.3(C32xC6) = C6xC27:C3central extension (φ=1)162C9.3(C3^2xC6)486,208
C9.4(C32xC6) = C2xC27oHe3central extension (φ=1)1623C9.4(C3^2xC6)486,209

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