Extensions 1→N→G→Q→1 with N=C4 and Q=C9:Dic3

Direct product G=NxQ with N=C4 and Q=C9:Dic3
dρLabelID
C4xC9:Dic3432C4xC9:Dic3432,180

Semidirect products G=N:Q with N=C4 and Q=C9:Dic3
extensionφ:Q→Aut NdρLabelID
C4:(C9:Dic3) = C36:Dic3φ: C9:Dic3/C3xC18C2 ⊆ Aut C4432C4:(C9:Dic3)432,182

Non-split extensions G=N.Q with N=C4 and Q=C9:Dic3
extensionφ:Q→Aut NdρLabelID
C4.(C9:Dic3) = C36.69D6φ: C9:Dic3/C3xC18C2 ⊆ Aut C4216C4.(C9:Dic3)432,179
C4.2(C9:Dic3) = C72.S3central extension (φ=1)432C4.2(C9:Dic3)432,32
C4.3(C9:Dic3) = C2xC36.S3central extension (φ=1)432C4.3(C9:Dic3)432,178

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