Extensions 1→N→G→Q→1 with N=C45 and Q=S3

Direct product G=N×Q with N=C45 and Q=S3
dρLabelID
S3×C45902S3xC45270,9

Semidirect products G=N:Q with N=C45 and Q=S3
extensionφ:Q→Aut NdρLabelID
C451S3 = C3⋊D45φ: S3/C3C2 ⊆ Aut C45135C45:1S3270,18
C452S3 = C5×C9⋊S3φ: S3/C3C2 ⊆ Aut C45135C45:2S3270,16
C453S3 = C9×D15φ: S3/C3C2 ⊆ Aut C45902C45:3S3270,13

Non-split extensions G=N.Q with N=C45 and Q=S3
extensionφ:Q→Aut NdρLabelID
C45.1S3 = D135φ: S3/C3C2 ⊆ Aut C451352+C45.1S3270,3
C45.2S3 = C5×D27φ: S3/C3C2 ⊆ Aut C451352C45.2S3270,1

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