Extensions 1→N→G→Q→1 with N=He3:C2 and Q=C9

Direct product G=NxQ with N=He3:C2 and Q=C9
dρLabelID
C9xHe3:C281C9xHe3:C2486,143

Semidirect products G=N:Q with N=He3:C2 and Q=C9
extensionφ:Q→Out NdρLabelID
He3:C2:C9 = He3:C18φ: C9/C3C3 ⊆ Out He3:C281He3:C2:C9486,24

Non-split extensions G=N.Q with N=He3:C2 and Q=C9
extensionφ:Q→Out NdρLabelID
He3:C2.1C9 = He3.C18φ: C9/C3C3 ⊆ Out He3:C2813He3:C2.1C9486,26
He3:C2.2C9 = He3.2C18φ: C9/C3C3 ⊆ Out He3:C2813He3:C2.2C9486,28
He3:C2.3C9 = He3.5C18φ: trivial image813He3:C2.3C9486,164

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