Extensions 1→N→G→Q→1 with N=C23xD9 and Q=C2

Direct product G=NxQ with N=C23xD9 and Q=C2
dρLabelID
C24xD9144C2^4xD9288,839

Semidirect products G=N:Q with N=C23xD9 and Q=C2
extensionφ:Q→Out NdρLabelID
(C23xD9):1C2 = C22:3D36φ: C2/C1C2 ⊆ Out C23xD972(C2^3xD9):1C2288,92
(C23xD9):2C2 = C23:2D18φ: C2/C1C2 ⊆ Out C23xD972(C2^3xD9):2C2288,147
(C23xD9):3C2 = C22xD36φ: C2/C1C2 ⊆ Out C23xD9144(C2^3xD9):3C2288,354
(C23xD9):4C2 = C2xD4xD9φ: C2/C1C2 ⊆ Out C23xD972(C2^3xD9):4C2288,356
(C23xD9):5C2 = C22xC9:D4φ: C2/C1C2 ⊆ Out C23xD9144(C2^3xD9):5C2288,366

Non-split extensions G=N.Q with N=C23xD9 and Q=C2
extensionφ:Q→Out NdρLabelID
(C23xD9).1C2 = C22:C4xD9φ: C2/C1C2 ⊆ Out C23xD972(C2^3xD9).1C2288,90
(C23xD9).2C2 = C2xD18:C4φ: C2/C1C2 ⊆ Out C23xD9144(C2^3xD9).2C2288,137
(C23xD9).3C2 = C22xC4xD9φ: trivial image144(C2^3xD9).3C2288,353

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