Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D8

Direct product G=N×Q with N=C3 and Q=C3×D8
dρLabelID
C32×D872C3^2xD8144,106

Semidirect products G=N:Q with N=C3 and Q=C3×D8
extensionφ:Q→Aut NdρLabelID
C31(C3×D8) = C3×D24φ: C3×D8/C24C2 ⊆ Aut C3482C3:1(C3xD8)144,72
C32(C3×D8) = C3×D4⋊S3φ: C3×D8/C3×D4C2 ⊆ Aut C3244C3:2(C3xD8)144,80

Non-split extensions G=N.Q with N=C3 and Q=C3×D8
extensionφ:Q→Aut NdρLabelID
C3.(C3×D8) = C9×D8central extension (φ=1)722C3.(C3xD8)144,25

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