Extensions 1→N→G→Q→1 with N=He5 and Q=C4

Direct product G=NxQ with N=He5 and Q=C4
dρLabelID
C4xHe51005C4xHe5500,13

Semidirect products G=N:Q with N=He5 and Q=C4
extensionφ:Q→Out NdρLabelID
He5:1C4 = C52:C20φ: C4/C1C4 ⊆ Out He52520+He5:1C4500,17
He5:2C4 = He5:C4φ: C4/C1C4 ⊆ Out He52520+He5:2C4500,21
He5:3C4 = C52:F5φ: C4/C1C4 ⊆ Out He52510+He5:3C4500,23
He5:4C4 = He5:4C4φ: C4/C1C4 ⊆ Out He5255He5:4C4500,25
He5:5C4 = He5:5C4φ: C4/C2C2 ⊆ Out He510010-He5:5C4500,8
He5:6C4 = He5:6C4φ: C4/C2C2 ⊆ Out He51005He5:6C4500,11


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