Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C33⋊C2

Direct product G=N×Q with N=C3 and Q=C2×C33⋊C2
dρLabelID
C6×C33⋊C2108C6xC3^3:C2324,174

Semidirect products G=N:Q with N=C3 and Q=C2×C33⋊C2
extensionφ:Q→Aut NdρLabelID
C31(C2×C33⋊C2) = S3×C33⋊C2φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C354C3:1(C2xC3^3:C2)324,168
C32(C2×C33⋊C2) = C2×C34⋊C2φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C3162C3:2(C2xC3^3:C2)324,175

Non-split extensions G=N.Q with N=C3 and Q=C2×C33⋊C2
extensionφ:Q→Aut NdρLabelID
C3.(C2×C33⋊C2) = C2×C324D9φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C3162C3.(C2xC3^3:C2)324,149
C3.2(C2×C33⋊C2) = C2×He35S3central stem extension (φ=1)366C3.2(C2xC3^3:C2)324,150

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