Extensions 1→N→G→Q→1 with N=C5 and Q=D20

Direct product G=N×Q with N=C5 and Q=D20
dρLabelID
C5×D20402C5xD20200,29

Semidirect products G=N:Q with N=C5 and Q=D20
extensionφ:Q→Aut NdρLabelID
C51D20 = C20⋊D5φ: D20/C20C2 ⊆ Aut C5100C5:1D20200,34
C52D20 = C5⋊D20φ: D20/D10C2 ⊆ Aut C5204+C5:2D20200,25

Non-split extensions G=N.Q with N=C5 and Q=D20
extensionφ:Q→Aut NdρLabelID
C5.D20 = D100φ: D20/C20C2 ⊆ Aut C51002+C5.D20200,6

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