Extensions 1→N→G→Q→1 with N=C3 and Q=D4×C2×C6

Direct product G=N×Q with N=C3 and Q=D4×C2×C6
dρLabelID
D4×C62144D4xC6^2288,1019

Semidirect products G=N:Q with N=C3 and Q=D4×C2×C6
extensionφ:Q→Aut NdρLabelID
C31(D4×C2×C6) = C2×C6×D12φ: D4×C2×C6/C22×C12C2 ⊆ Aut C396C3:1(D4xC2xC6)288,990
C32(D4×C2×C6) = S3×C6×D4φ: D4×C2×C6/C6×D4C2 ⊆ Aut C348C3:2(D4xC2xC6)288,992
C33(D4×C2×C6) = C2×C6×C3⋊D4φ: D4×C2×C6/C23×C6C2 ⊆ Aut C348C3:3(D4xC2xC6)288,1002

Non-split extensions G=N.Q with N=C3 and Q=D4×C2×C6
extensionφ:Q→Aut NdρLabelID
C3.(D4×C2×C6) = D4×C2×C18central extension (φ=1)144C3.(D4xC2xC6)288,368

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