Extensions 1→N→G→Q→1 with N=C117 and Q=C3

Direct product G=NxQ with N=C117 and Q=C3
dρLabelID
C3xC117351C3xC117351,9

Semidirect products G=N:Q with N=C117 and Q=C3
extensionφ:Q→Aut NdρLabelID
C117:1C3 = C9xC13:C3φ: C3/C1C3 ⊆ Aut C1171173C117:1C3351,3
C117:2C3 = C117:C3φ: C3/C1C3 ⊆ Aut C1171173C117:2C3351,4
C117:3C3 = C117:3C3φ: C3/C1C3 ⊆ Aut C1171173C117:3C3351,5
C117:4C3 = C13x3- 1+2φ: C3/C1C3 ⊆ Aut C1171173C117:4C3351,11

Non-split extensions G=N.Q with N=C117 and Q=C3
extensionφ:Q→Aut NdρLabelID
C117.C3 = C13:C27φ: C3/C1C3 ⊆ Aut C1173513C117.C3351,1

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