Extensions 1→N→G→Q→1 with N=C3 and Q=C20⋊Q8

Direct product G=N×Q with N=C3 and Q=C20⋊Q8
dρLabelID
C3×C20⋊Q8480C3xC20:Q8480,681

Semidirect products G=N:Q with N=C3 and Q=C20⋊Q8
extensionφ:Q→Aut NdρLabelID
C31(C20⋊Q8) = C60⋊Q8φ: C20⋊Q8/C4×Dic5C2 ⊆ Aut C3480C3:1(C20:Q8)480,544
C32(C20⋊Q8) = Dic3⋊Dic10φ: C20⋊Q8/C10.D4C2 ⊆ Aut C3480C3:2(C20:Q8)480,404
C33(C20⋊Q8) = C20⋊Dic6φ: C20⋊Q8/C4⋊Dic5C2 ⊆ Aut C3480C3:3(C20:Q8)480,546
C34(C20⋊Q8) = C4⋊Dic30φ: C20⋊Q8/C5×C4⋊C4C2 ⊆ Aut C3480C3:4(C20:Q8)480,853
C35(C20⋊Q8) = Dic151Q8φ: C20⋊Q8/C2×Dic10C2 ⊆ Aut C3480C3:5(C20:Q8)480,403


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