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Extensions 1→N→G→Q→1 with N=Q8 and Q=C9:C6

Direct product G=NxQ with N=Q8 and Q=C9:C6
dρLabelID
Q8xC9:C67212-Q8xC9:C6432,370

Semidirect products G=N:Q with N=Q8 and Q=C9:C6
extensionφ:Q→Out NdρLabelID
Q8:(C9:C6) = C32.GL2(F3)φ: C9:C6/C32 → S3 ⊆ Out Q87212+Q8:(C9:C6)432,245
Q8:2(C9:C6) = D18.A4φ: C9:C6/D9 → C3 ⊆ Out Q87212-Q8:2(C9:C6)432,263
Q8:3(C9:C6) = D36.C6φ: C9:C6/3- 1+2 → C2 ⊆ Out Q87212+Q8:3(C9:C6)432,163
Q8:4(C9:C6) = D36:3C6φ: trivial image7212+Q8:4(C9:C6)432,371

Non-split extensions G=N.Q with N=Q8 and Q=C9:C6
extensionφ:Q→Out NdρLabelID
Q8.(C9:C6) = C32.CSU2(F3)φ: C9:C6/C32 → S3 ⊆ Out Q814412-Q8.(C9:C6)432,243
Q8.2(C9:C6) = Dic9.A4φ: C9:C6/D9 → C3 ⊆ Out Q814412+Q8.2(C9:C6)432,261
Q8.3(C9:C6) = Dic18.C6φ: C9:C6/3- 1+2 → C2 ⊆ Out Q814412-Q8.3(C9:C6)432,162

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