Extensions 1→N→G→Q→1 with N=C5 and Q=C5⋊2C8

Direct product G=N×Q with N=C5 and Q=C5⋊2C8
dρLabelID
C5×C5⋊2C8402C5xC5:2C8200,15

Semidirect products G=N:Q with N=C5 and Q=C5⋊2C8
extensionφ:Q→Aut NdρLabelID
C5⋊(C5⋊2C8) = C52⋊3C8φ: C5⋊2C8/C10 → C4 ⊆ Aut C5404C5:(C5:2C8)200,19
C5⋊2(C5⋊2C8) = C52⋊7C8φ: C5⋊2C8/C20 → C2 ⊆ Aut C5200C5:2(C5:2C8)200,16

Non-split extensions G=N.Q with N=C5 and Q=C5⋊2C8
extensionφ:Q→Aut NdρLabelID
C5.(C5⋊2C8) = C25⋊2C8φ: C5⋊2C8/C20 → C2 ⊆ Aut C52002C5.(C5:2C8)200,1

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