Extensions 1→N→G→Q→1 with N=C25 and Q=D10

Direct product G=N×Q with N=C25 and Q=D10
dρLabelID
D5×C501002D5xC50500,29

Semidirect products G=N:Q with N=C25 and Q=D10
extensionφ:Q→Aut NdρLabelID
C251D10 = D5×D25φ: D10/D5C2 ⊆ Aut C25504+C25:1D10500,26
C252D10 = C2×C25⋊D5φ: D10/C10C2 ⊆ Aut C25250C25:2D10500,32

Non-split extensions G=N.Q with N=C25 and Q=D10
extensionφ:Q→Aut NdρLabelID
C25.D10 = D250φ: D10/C10C2 ⊆ Aut C252502+C25.D10500,4

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