Extensions 1→N→G→Q→1 with N=C3 and Q=Q8.D6

Direct product G=NxQ with N=C3 and Q=Q8.D6
dρLabelID
C3xQ8.D6484C3xQ8.D6288,901

Semidirect products G=N:Q with N=C3 and Q=Q8.D6
extensionφ:Q→Aut NdρLabelID
C3:1(Q8.D6) = D6.2S4φ: Q8.D6/CSU2(F3)C2 ⊆ Aut C3484C3:1(Q8.D6)288,850
C3:2(Q8.D6) = D6.S4φ: Q8.D6/GL2(F3)C2 ⊆ Aut C3484-C3:2(Q8.D6)288,849
C3:3(Q8.D6) = SL2(F3).D6φ: Q8.D6/C2xSL2(F3)C2 ⊆ Aut C3484C3:3(Q8.D6)288,912

Non-split extensions G=N.Q with N=C3 and Q=Q8.D6
extensionφ:Q→Aut NdρLabelID
C3.(Q8.D6) = Q8.D18φ: Q8.D6/C2xSL2(F3)C2 ⊆ Aut C31444C3.(Q8.D6)288,337

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