Extensions 1→N→G→Q→1 with N=Q8:C9 and Q=C22

Direct product G=NxQ with N=Q8:C9 and Q=C22
dρLabelID
C22xQ8:C9288C2^2xQ8:C9288,345

Semidirect products G=N:Q with N=Q8:C9 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:C9:1C22 = C2xQ8:D9φ: C22/C2C2 ⊆ Out Q8:C9144Q8:C9:1C2^2288,336
Q8:C9:2C22 = C12.4S4φ: C22/C2C2 ⊆ Out Q8:C9724+Q8:C9:2C2^2288,340
Q8:C9:3C22 = C2xQ8.C18φ: trivial image144Q8:C9:3C2^2288,347
Q8:C9:4C22 = 2+ 1+4:C9φ: trivial image724Q8:C9:4C2^2288,348

Non-split extensions G=N.Q with N=Q8:C9 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:C9.1C22 = C2xQ8.D9φ: C22/C2C2 ⊆ Out Q8:C9288Q8:C9.1C2^2288,335
Q8:C9.2C22 = Q8.D18φ: C22/C2C2 ⊆ Out Q8:C91444Q8:C9.2C2^2288,337
Q8:C9.3C22 = C12.3S4φ: C22/C2C2 ⊆ Out Q8:C91444-Q8:C9.3C2^2288,338
Q8:C9.4C22 = C12.11S4φ: C22/C2C2 ⊆ Out Q8:C91444Q8:C9.4C2^2288,339
Q8:C9.5C22 = 2- 1+4:C9φ: trivial image1444Q8:C9.5C2^2288,349

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