Extensions 1→N→G→Q→1 with N=C3 and Q=C3xD4:C4

Direct product G=NxQ with N=C3 and Q=C3xD4:C4
dρLabelID
C32xD4:C4144C3^2xD4:C4288,320

Semidirect products G=N:Q with N=C3 and Q=C3xD4:C4
extensionφ:Q→Aut NdρLabelID
C3:1(C3xD4:C4) = C3xC6.D8φ: C3xD4:C4/C3xC4:C4C2 ⊆ Aut C396C3:1(C3xD4:C4)288,243
C3:2(C3xD4:C4) = C3xC2.D24φ: C3xD4:C4/C2xC24C2 ⊆ Aut C396C3:2(C3xD4:C4)288,255
C3:3(C3xD4:C4) = C3xD4:Dic3φ: C3xD4:C4/C6xD4C2 ⊆ Aut C348C3:3(C3xD4:C4)288,266

Non-split extensions G=N.Q with N=C3 and Q=C3xD4:C4
extensionφ:Q→Aut NdρLabelID
C3.(C3xD4:C4) = C9xD4:C4central extension (φ=1)144C3.(C3xD4:C4)288,52

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