Extensions 1→N→G→Q→1 with N=C21 and Q=C2×C10

Direct product G=N×Q with N=C21 and Q=C2×C10
dρLabelID
C2×C210420C2xC210420,41

Semidirect products G=N:Q with N=C21 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C21⋊(C2×C10) = C5×S3×D7φ: C2×C10/C5 → C22 ⊆ Aut C211054C21:(C2xC10)420,25
C21⋊2(C2×C10) = C10×D21φ: C2×C10/C10 → C2 ⊆ Aut C212102C21:2(C2xC10)420,38
C21⋊3(C2×C10) = D7×C30φ: C2×C10/C10 → C2 ⊆ Aut C212102C21:3(C2xC10)420,34
C21⋊4(C2×C10) = S3×C70φ: C2×C10/C10 → C2 ⊆ Aut C212102C21:4(C2xC10)420,37


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