Extensions 1→N→G→Q→1 with N=C50 and Q=C4

Direct product G=N×Q with N=C50 and Q=C4
dρLabelID
C2×C100200C2xC100200,9

Semidirect products G=N:Q with N=C50 and Q=C4
extensionφ:Q→Aut NdρLabelID
C50⋊C4 = C2×C25⋊C4φ: C4/C1C4 ⊆ Aut C50504+C50:C4200,12
C502C4 = C2×Dic25φ: C4/C2C2 ⊆ Aut C50200C50:2C4200,7

Non-split extensions G=N.Q with N=C50 and Q=C4
extensionφ:Q→Aut NdρLabelID
C50.C4 = C25⋊C8φ: C4/C1C4 ⊆ Aut C502004-C50.C4200,3
C50.2C4 = C252C8φ: C4/C2C2 ⊆ Aut C502002C50.2C4200,1

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