Extensions 1→N→G→Q→1 with N=C3 and Q=D4:D9

Direct product G=NxQ with N=C3 and Q=D4:D9
dρLabelID
C3xD4:D9724C3xD4:D9432,149

Semidirect products G=N:Q with N=C3 and Q=D4:D9
extensionφ:Q→Aut NdρLabelID
C3:1(D4:D9) = C9:D24φ: D4:D9/C9:C8C2 ⊆ Aut C3724+C3:1(D4:D9)432,69
C3:2(D4:D9) = D36:S3φ: D4:D9/D36C2 ⊆ Aut C31444C3:2(D4:D9)432,68
C3:3(D4:D9) = C36.18D6φ: D4:D9/D4xC9C2 ⊆ Aut C3216C3:3(D4:D9)432,191

Non-split extensions G=N.Q with N=C3 and Q=D4:D9
extensionφ:Q→Aut NdρLabelID
C3.(D4:D9) = D4:D27φ: D4:D9/D4xC9C2 ⊆ Aut C32164+C3.(D4:D9)432,16

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