Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C32⋊C4

Direct product G=N×Q with N=C3 and Q=C2×C32⋊C4
dρLabelID
C6×C32⋊C4244C6xC3^2:C4216,168

Semidirect products G=N:Q with N=C3 and Q=C2×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C31(C2×C32⋊C4) = S3×C32⋊C4φ: C2×C32⋊C4/C32⋊C4C2 ⊆ Aut C3128+C3:1(C2xC3^2:C4)216,156
C32(C2×C32⋊C4) = C2×C33⋊C4φ: C2×C32⋊C4/C2×C3⋊S3C2 ⊆ Aut C3244C3:2(C2xC3^2:C4)216,169

Non-split extensions G=N.Q with N=C3 and Q=C2×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(C2×C32⋊C4) = C2×He3⋊C4central stem extension (φ=1)363C3.(C2xC3^2:C4)216,100

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