Extensions 1→N→G→Q→1 with N=C3 and Q=C2×2+ 1+4

Direct product G=N×Q with N=C3 and Q=C2×2+ 1+4
dρLabelID
C6×2+ 1+448C6xES+(2,2)192,1534

Semidirect products G=N:Q with N=C3 and Q=C2×2+ 1+4
extensionφ:Q→Aut NdρLabelID
C3⋊1(C2×2+ 1+4) = C2×D4⋊6D6φ: C2×2+ 1+4/C22×D4 → C2 ⊆ Aut C348C3:1(C2xES+(2,2))192,1516
C3⋊2(C2×2+ 1+4) = C2×D4○D12φ: C2×2+ 1+4/C2×C4○D4 → C2 ⊆ Aut C348C3:2(C2xES+(2,2))192,1521
C3⋊3(C2×2+ 1+4) = S3×2+ 1+4φ: C2×2+ 1+4/2+ 1+4 → C2 ⊆ Aut C3248+C3:3(C2xES+(2,2))192,1524


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