Extensions 1→N→G→Q→1 with N=C3 and Q=C6×Q8

Direct product G=N×Q with N=C3 and Q=C6×Q8
dρLabelID
Q8×C3×C6144Q8xC3xC6144,180

Semidirect products G=N:Q with N=C3 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C31(C6×Q8) = C6×Dic6φ: C6×Q8/C2×C12C2 ⊆ Aut C348C3:1(C6xQ8)144,158
C32(C6×Q8) = C3×S3×Q8φ: C6×Q8/C3×Q8C2 ⊆ Aut C3484C3:2(C6xQ8)144,164

Non-split extensions G=N.Q with N=C3 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C3.(C6×Q8) = Q8×C18central extension (φ=1)144C3.(C6xQ8)144,49

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