Extensions 1→N→G→Q→1 with N=C5 and Q=D50

Direct product G=N×Q with N=C5 and Q=D50
dρLabelID
C10×D251002C10xD25500,28

Semidirect products G=N:Q with N=C5 and Q=D50
extensionφ:Q→Aut NdρLabelID
C51D50 = D5×D25φ: D50/D25C2 ⊆ Aut C5504+C5:1D50500,26
C52D50 = C2×C25⋊D5φ: D50/C50C2 ⊆ Aut C5250C5:2D50500,32

Non-split extensions G=N.Q with N=C5 and Q=D50
extensionφ:Q→Aut NdρLabelID
C5.D50 = D250φ: D50/C50C2 ⊆ Aut C52502+C5.D50500,4

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