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

Direct product G=NxQ with N=Q8:C9 and Q=C6
dρLabelID
C6xQ8:C9432C6xQ8:C9432,334

Semidirect products G=N:Q with N=Q8:C9 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8:C9:C6 = C32.GL2(F3)φ: C6/C1 → C6 ⊆ Out Q8:C97212+Q8:C9:C6432,245
Q8:C9:2C6 = C2xC18.A4φ: C6/C2 → C3 ⊆ Out Q8:C9144Q8:C9:2C6432,328
Q8:C9:3C6 = C2xQ8:3- 1+2φ: C6/C2 → C3 ⊆ Out Q8:C9144Q8:C9:3C6432,335
Q8:C9:4C6 = Q8:C9:4C6φ: C6/C2 → C3 ⊆ Out Q8:C9726Q8:C9:4C6432,338
Q8:C9:5C6 = C3xQ8:D9φ: C6/C3 → C2 ⊆ Out Q8:C91444Q8:C9:5C6432,246
Q8:C9:6C6 = C18xSL2(F3)φ: trivial image144Q8:C9:6C6432,327
Q8:C9:7C6 = C3xQ8.C18φ: trivial image216Q8:C9:7C6432,337

Non-split extensions G=N.Q with N=Q8:C9 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8:C9.C6 = C32.CSU2(F3)φ: C6/C1 → C6 ⊆ Out Q8:C914412-Q8:C9.C6432,243
Q8:C9.2C6 = C36.A4φ: C6/C2 → C3 ⊆ Out Q8:C91446Q8:C9.2C6432,330
Q8:C9.3C6 = C3xQ8.D9φ: C6/C3 → C2 ⊆ Out Q8:C91444Q8:C9.3C6432,244
Q8:C9.4C6 = C9xC4.A4φ: trivial image1442Q8:C9.4C6432,329

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