Extensions 1→N→G→Q→1 with N=C9xA4 and Q=C3

Direct product G=NxQ with N=C9xA4 and Q=C3
dρLabelID
A4xC3xC9108A4xC3xC9324,126

Semidirect products G=N:Q with N=C9xA4 and Q=C3
extensionφ:Q→Out NdρLabelID
(C9xA4):1C3 = C62.25C32φ: C3/C1C3 ⊆ Out C9xA4543(C9xA4):1C3324,128
(C9xA4):2C3 = A4x3- 1+2φ: C3/C1C3 ⊆ Out C9xA4369(C9xA4):2C3324,131
(C9xA4):3C3 = C62.9C32φ: C3/C1C3 ⊆ Out C9xA4549(C9xA4):3C3324,132

Non-split extensions G=N.Q with N=C9xA4 and Q=C3
extensionφ:Q→Out NdρLabelID
(C9xA4).C3 = C27:A4φ: C3/C1C3 ⊆ Out C9xA41083(C9xA4).C3324,43
(C9xA4).2C3 = A4xC27φ: trivial image1083(C9xA4).2C3324,42

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