Extensions 1→N→G→Q→1 with N=3- 1+2 and Q=C9

Direct product G=N×Q with N=3- 1+2 and Q=C9
dρLabelID
C9×3- 1+281C9xES-(3,1)243,36

Semidirect products G=N:Q with N=3- 1+2 and Q=C9
extensionφ:Q→Out NdρLabelID
3- 1+2⋊C9 = 3- 1+2⋊C9φ: C9/C3C3 ⊆ Out 3- 1+281ES-(3,1):C9243,18

Non-split extensions G=N.Q with N=3- 1+2 and Q=C9
extensionφ:Q→Out NdρLabelID
3- 1+2.1C9 = C9.5He3φ: C9/C3C3 ⊆ Out 3- 1+2813ES-(3,1).1C9243,19
3- 1+2.2C9 = C9.6He3φ: C9/C3C3 ⊆ Out 3- 1+2813ES-(3,1).2C9243,20
3- 1+2.3C9 = C27○He3φ: trivial image813ES-(3,1).3C9243,50

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