Extensions 1→N→G→Q→1 with N=C6xQ8 and Q=C3

Direct product G=NxQ with N=C6xQ8 and Q=C3
dρLabelID
Q8xC3xC6144Q8xC3xC6144,180

Semidirect products G=N:Q with N=C6xQ8 and Q=C3
extensionφ:Q→Out NdρLabelID
(C6xQ8):C3 = C6xSL2(F3)φ: C3/C1C3 ⊆ Out C6xQ848(C6xQ8):C3144,156

Non-split extensions G=N.Q with N=C6xQ8 and Q=C3
extensionφ:Q→Out NdρLabelID
(C6xQ8).C3 = C2xQ8:C9φ: C3/C1C3 ⊆ Out C6xQ8144(C6xQ8).C3144,35
(C6xQ8).2C3 = Q8xC18φ: trivial image144(C6xQ8).2C3144,49

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