Extensions 1→N→G→Q→1 with N=He5 and Q=C22

Direct product G=NxQ with N=He5 and Q=C22
dρLabelID
C22xHe5100C2^2xHe5500,35

Semidirect products G=N:Q with N=He5 and Q=C22
extensionφ:Q→Out NdρLabelID
He5:C22 = C52:D10φ: C22/C1C22 ⊆ Out He52510+He5:C2^2500,27
He5:2C22 = C2xC52:C10φ: C22/C2C2 ⊆ Out He55010+He5:2C2^2500,30
He5:3C22 = C2xHe5:C2φ: C22/C2C2 ⊆ Out He5505He5:3C2^2500,33


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