Extensions 1→N→G→Q→1 with N=Q8:Dic3 and Q=C2

Direct product G=NxQ with N=Q8:Dic3 and Q=C2
dρLabelID
C2xQ8:Dic364C2xQ8:Dic3192,977

Semidirect products G=N:Q with N=Q8:Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:Dic3:1C2 = C23.14S4φ: C2/C1C2 ⊆ Out Q8:Dic332Q8:Dic3:1C2192,978
Q8:Dic3:2C2 = SL2(F3):D4φ: C2/C1C2 ⊆ Out Q8:Dic332Q8:Dic3:2C2192,986
Q8:Dic3:3C2 = C23.16S4φ: C2/C1C2 ⊆ Out Q8:Dic332Q8:Dic3:3C2192,980
Q8:Dic3:4C2 = SL2(F3).D4φ: C2/C1C2 ⊆ Out Q8:Dic364Q8:Dic3:4C2192,984
Q8:Dic3:5C2 = GL2(F3):C4φ: C2/C1C2 ⊆ Out Q8:Dic332Q8:Dic3:5C2192,953
Q8:Dic3:6C2 = C23.15S4φ: C2/C1C2 ⊆ Out Q8:Dic332Q8:Dic3:6C2192,979
Q8:Dic3:7C2 = (C2xC4).S4φ: C2/C1C2 ⊆ Out Q8:Dic364Q8:Dic3:7C2192,985
Q8:Dic3:8C2 = C4xGL2(F3)φ: trivial image32Q8:Dic3:8C2192,951
Q8:Dic3:9C2 = C4.A4:C4φ: trivial image64Q8:Dic3:9C2192,983

Non-split extensions G=N.Q with N=Q8:Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:Dic3.1C2 = Q8.Dic6φ: C2/C1C2 ⊆ Out Q8:Dic364Q8:Dic3.1C2192,948
Q8:Dic3.2C2 = SL2(F3):Q8φ: C2/C1C2 ⊆ Out Q8:Dic364Q8:Dic3.2C2192,950
Q8:Dic3.3C2 = Q8:Dic6φ: C2/C1C2 ⊆ Out Q8:Dic364Q8:Dic3.3C2192,945
Q8:Dic3.4C2 = CSU2(F3):C4φ: C2/C1C2 ⊆ Out Q8:Dic364Q8:Dic3.4C2192,947
Q8:Dic3.5C2 = C4xCSU2(F3)φ: trivial image64Q8:Dic3.5C2192,946

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