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

Direct product G=N×Q with N=C20 and Q=C3×Q8
dρLabelID
Q8×C60480Q8xC60480,924

Semidirect products G=N:Q with N=C20 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
C20⋊(C3×Q8) = C3×C20⋊Q8φ: C3×Q8/C6 → C22 ⊆ Aut C20480C20:(C3xQ8)480,681
C20⋊2(C3×Q8) = C3×C20⋊2Q8φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20:2(C3xQ8)480,662
C20⋊3(C3×Q8) = C12×Dic10φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20:3(C3xQ8)480,661
C20⋊4(C3×Q8) = C15×C4⋊Q8φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20:4(C3xQ8)480,933

Non-split extensions G=N.Q with N=C20 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
C20.1(C3×Q8) = C3×C10.D8φ: C3×Q8/C6 → C22 ⊆ Aut C20480C20.1(C3xQ8)480,85
C20.2(C3×Q8) = C3×C20.Q8φ: C3×Q8/C6 → C22 ⊆ Aut C20480C20.2(C3xQ8)480,86
C20.3(C3×Q8) = C3×C4.Dic10φ: C3×Q8/C6 → C22 ⊆ Aut C20480C20.3(C3xQ8)480,683
C20.4(C3×Q8) = C3×C40⋊6C4φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.4(C3xQ8)480,95
C20.5(C3×Q8) = C3×C40⋊5C4φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.5(C3xQ8)480,96
C20.6(C3×Q8) = C3×C20.6Q8φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.6(C3xQ8)480,663
C20.7(C3×Q8) = C3×C20⋊3C8φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.7(C3xQ8)480,82
C20.8(C3×Q8) = C3×C20.8Q8φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.8(C3xQ8)480,92
C20.9(C3×Q8) = C15×C4.Q8φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.9(C3xQ8)480,209
C20.10(C3×Q8) = C15×C2.D8φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.10(C3xQ8)480,210
C20.11(C3×Q8) = C15×C42.C2φ: C3×Q8/C12 → C2 ⊆ Aut C20480C20.11(C3xQ8)480,930
C20.12(C3×Q8) = C15×C4⋊C8central extension (φ=1)480C20.12(C3xQ8)480,208

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