Extensions 1→N→G→Q→1 with N=C3 and Q=C6.7S4

Direct product G=N×Q with N=C3 and Q=C6.7S4
dρLabelID
C3×C6.7S4366C3xC6.7S4432,618

Semidirect products G=N:Q with N=C3 and Q=C6.7S4
extensionφ:Q→Aut NdρLabelID
C3⋊(C6.7S4) = C6210Dic3φ: C6.7S4/C6×A4C2 ⊆ Aut C3108C3:(C6.7S4)432,621

Non-split extensions G=N.Q with N=C3 and Q=C6.7S4
extensionφ:Q→Aut NdρLabelID
C3.1(C6.7S4) = A4⋊Dic9φ: C6.7S4/C6×A4C2 ⊆ Aut C31086-C3.1(C6.7S4)432,254
C3.2(C6.7S4) = C62.10Dic3φ: C6.7S4/C6×A4C2 ⊆ Aut C3108C3.2(C6.7S4)432,259
C3.3(C6.7S4) = C626Dic3central stem extension (φ=1)363C3.3(C6.7S4)432,260

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