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

Direct product G=NxQ with N=He3 and Q=C9
dρLabelID
C9xHe381C9xHe3243,35

Semidirect products G=N:Q with N=He3 and Q=C9
extensionφ:Q→Out NdρLabelID
He3:C9 = He3:C9φ: C9/C3C3 ⊆ Out He381He3:C9243,17

Non-split extensions G=N.Q with N=He3 and Q=C9
extensionφ:Q→Out NdρLabelID
He3.1C9 = C9.5He3φ: C9/C3C3 ⊆ Out He3813He3.1C9243,19
He3.2C9 = C9.6He3φ: C9/C3C3 ⊆ Out He3813He3.2C9243,20
He3.3C9 = C27oHe3φ: trivial image813He3.3C9243,50

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