Extensions 1→N→G→Q→1 with N=C52 and Q=C2×C6

Direct product G=N×Q with N=C52 and Q=C2×C6
dρLabelID
C10×C30300C10xC30300,49

Semidirect products G=N:Q with N=C52 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C52⋊(C2×C6) = C2×C52⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C52306+C5^2:(C2xC6)300,27
C52⋊2(C2×C6) = C3×D52φ: C2×C6/C3 → C22 ⊆ Aut C52304C5^2:2(C2xC6)300,36
C52⋊3(C2×C6) = C22×C52⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C5260C5^2:3(C2xC6)300,41
C52⋊4(C2×C6) = D5×C30φ: C2×C6/C6 → C2 ⊆ Aut C52602C5^2:4(C2xC6)300,44
C52⋊5(C2×C6) = C6×C5⋊D5φ: C2×C6/C6 → C2 ⊆ Aut C52150C5^2:5(C2xC6)300,45


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