Extensions 1→N→G→Q→1 with N=C75 and Q=S3

Direct product G=N×Q with N=C75 and Q=S3
dρLabelID
S3×C751502S3xC75450,6

Semidirect products G=N:Q with N=C75 and Q=S3
extensionφ:Q→Aut NdρLabelID
C751S3 = C3⋊D75φ: S3/C3C2 ⊆ Aut C75225C75:1S3450,9
C752S3 = C3×D75φ: S3/C3C2 ⊆ Aut C751502C75:2S3450,7
C753S3 = C3⋊S3×C25φ: S3/C3C2 ⊆ Aut C75225C75:3S3450,8

Non-split extensions G=N.Q with N=C75 and Q=S3
extensionφ:Q→Aut NdρLabelID
C75.1S3 = D225φ: S3/C3C2 ⊆ Aut C752252+C75.1S3450,3
C75.2S3 = D9×C25φ: S3/C3C2 ⊆ Aut C752252C75.2S3450,1

׿
×
𝔽