Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C8⋊C4

Direct product G=N×Q with N=C3 and Q=C3×C8⋊C4
dρLabelID
C32×C8⋊C4288C3^2xC8:C4288,315

Semidirect products G=N:Q with N=C3 and Q=C3×C8⋊C4
extensionφ:Q→Aut NdρLabelID
C31(C3×C8⋊C4) = C3×C42.S3φ: C3×C8⋊C4/C4×C12C2 ⊆ Aut C396C3:1(C3xC8:C4)288,237
C32(C3×C8⋊C4) = C3×C24⋊C4φ: C3×C8⋊C4/C2×C24C2 ⊆ Aut C396C3:2(C3xC8:C4)288,249

Non-split extensions G=N.Q with N=C3 and Q=C3×C8⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(C3×C8⋊C4) = C9×C8⋊C4central extension (φ=1)288C3.(C3xC8:C4)288,47

׿
×
𝔽