Extensions 1→N→G→Q→1 with N=C3×C75 and Q=C2

Direct product G=N×Q with N=C3×C75 and Q=C2
dρLabelID
C3×C150450C3xC150450,10

Semidirect products G=N:Q with N=C3×C75 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C3×C75)⋊1C2 = C3⋊D75φ: C2/C1C2 ⊆ Aut C3×C75225(C3xC75):1C2450,9
(C3×C75)⋊2C2 = C3×D75φ: C2/C1C2 ⊆ Aut C3×C751502(C3xC75):2C2450,7
(C3×C75)⋊3C2 = C32×D25φ: C2/C1C2 ⊆ Aut C3×C75225(C3xC75):3C2450,5
(C3×C75)⋊4C2 = S3×C75φ: C2/C1C2 ⊆ Aut C3×C751502(C3xC75):4C2450,6
(C3×C75)⋊5C2 = C3⋊S3×C25φ: C2/C1C2 ⊆ Aut C3×C75225(C3xC75):5C2450,8


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