Extensions 1→N→G→Q→1 with N=C5 and Q=2+ 1+4

Direct product G=N×Q with N=C5 and Q=2+ 1+4
dρLabelID
C5×2+ 1+4404C5xES+(2,2)160,232

Semidirect products G=N:Q with N=C5 and Q=2+ 1+4
extensionφ:Q→Aut NdρLabelID
C512+ 1+4 = D46D10φ: 2+ 1+4/C2×D4C2 ⊆ Aut C5404C5:1ES+(2,2)160,219
C522+ 1+4 = D48D10φ: 2+ 1+4/C4○D4C2 ⊆ Aut C5404+C5:2ES+(2,2)160,224


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