Extensions 1→N→G→Q→1 with N=C52 and Q=C2×C10

Direct product G=N×Q with N=C52 and Q=C2×C10

Semidirect products G=N:Q with N=C52 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C52⋊(C2×C10) = C2×C52⋊C10φ: C2×C10/C2C10 ⊆ Aut C525010+C5^2:(C2xC10)500,30
C522(C2×C10) = C22×He5φ: C2×C10/C22C5 ⊆ Aut C52100C5^2:2(C2xC10)500,35
C523(C2×C10) = C5×D52φ: C2×C10/C5C22 ⊆ Aut C52204C5^2:3(C2xC10)500,50
C524(C2×C10) = D5×C5×C10φ: C2×C10/C10C2 ⊆ Aut C52100C5^2:4(C2xC10)500,53
C525(C2×C10) = C10×C5⋊D5φ: C2×C10/C10C2 ⊆ Aut C52100C5^2:5(C2xC10)500,54

Non-split extensions G=N.Q with N=C52 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C52.(C2×C10) = C22×5- 1+2φ: C2×C10/C22C5 ⊆ Aut C52100C5^2.(C2xC10)500,36
C52.2(C2×C10) = D5×C50φ: C2×C10/C10C2 ⊆ Aut C521002C5^2.2(C2xC10)500,29