Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3⋊Dic3

Direct product G=N×Q with N=C3 and Q=C2×C3⋊Dic3
dρLabelID
C6×C3⋊Dic372C6xC3:Dic3216,143

Semidirect products G=N:Q with N=C3 and Q=C2×C3⋊Dic3
extensionφ:Q→Aut NdρLabelID
C31(C2×C3⋊Dic3) = S3×C3⋊Dic3φ: C2×C3⋊Dic3/C3⋊Dic3C2 ⊆ Aut C372C3:1(C2xC3:Dic3)216,124
C32(C2×C3⋊Dic3) = C2×C335C4φ: C2×C3⋊Dic3/C62C2 ⊆ Aut C3216C3:2(C2xC3:Dic3)216,148

Non-split extensions G=N.Q with N=C3 and Q=C2×C3⋊Dic3
extensionφ:Q→Aut NdρLabelID
C3.(C2×C3⋊Dic3) = C2×C9⋊Dic3φ: C2×C3⋊Dic3/C62C2 ⊆ Aut C3216C3.(C2xC3:Dic3)216,69
C3.2(C2×C3⋊Dic3) = C2×He33C4central stem extension (φ=1)72C3.2(C2xC3:Dic3)216,71

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