Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C322Q8

Direct product G=N×Q with N=C3 and Q=C2×C322Q8
dρLabelID
C6×C322Q848C6xC3^2:2Q8432,657

Semidirect products G=N:Q with N=C3 and Q=C2×C322Q8
extensionφ:Q→Aut NdρLabelID
C31(C2×C322Q8) = S3×C322Q8φ: C2×C322Q8/C322Q8C2 ⊆ Aut C3488-C3:1(C2xC3^2:2Q8)432,603
C32(C2×C322Q8) = C2×C334Q8φ: C2×C322Q8/C6×Dic3C2 ⊆ Aut C3144C3:2(C2xC3^2:2Q8)432,683
C33(C2×C322Q8) = C2×C335Q8φ: C2×C322Q8/C2×C3⋊Dic3C2 ⊆ Aut C348C3:3(C2xC3^2:2Q8)432,695

Non-split extensions G=N.Q with N=C3 and Q=C2×C322Q8
extensionφ:Q→Aut NdρLabelID
C3.1(C2×C322Q8) = C2×C9⋊Dic6φ: C2×C322Q8/C6×Dic3C2 ⊆ Aut C3144C3.1(C2xC3^2:2Q8)432,303
C3.2(C2×C322Q8) = C2×He32Q8φ: C2×C322Q8/C2×C3⋊Dic3C2 ⊆ Aut C3144C3.2(C2xC3^2:2Q8)432,316

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