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Extensions 1→N→G→Q→1 with N=C4 and Q=C15⋊Q8

Direct product G=N×Q with N=C4 and Q=C15⋊Q8
dρLabelID
C4×C15⋊Q8480C4xC15:Q8480,543

Semidirect products G=N:Q with N=C4 and Q=C15⋊Q8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C15⋊Q8) = C20⋊4Dic6φ: C15⋊Q8/C5×Dic3 → C2 ⊆ Aut C4480C4:1(C15:Q8)480,545
C4⋊2(C15⋊Q8) = C60⋊Q8φ: C15⋊Q8/C3×Dic5 → C2 ⊆ Aut C4480C4:2(C15:Q8)480,544
C4⋊3(C15⋊Q8) = C20⋊Dic6φ: C15⋊Q8/Dic15 → C2 ⊆ Aut C4480C4:3(C15:Q8)480,546

Non-split extensions G=N.Q with N=C4 and Q=C15⋊Q8
extensionφ:Q→Aut NdρLabelID
C4.1(C15⋊Q8) = C60.Q8φ: C15⋊Q8/C5×Dic3 → C2 ⊆ Aut C4480C4.1(C15:Q8)480,63
C4.2(C15⋊Q8) = C60.5Q8φ: C15⋊Q8/C5×Dic3 → C2 ⊆ Aut C4480C4.2(C15:Q8)480,66
C4.3(C15⋊Q8) = C60.6Q8φ: C15⋊Q8/C5×Dic3 → C2 ⊆ Aut C4480C4.3(C15:Q8)480,457
C4.4(C15⋊Q8) = C60.7Q8φ: C15⋊Q8/C3×Dic5 → C2 ⊆ Aut C4480C4.4(C15:Q8)480,61
C4.5(C15⋊Q8) = C60.8Q8φ: C15⋊Q8/C3×Dic5 → C2 ⊆ Aut C4480C4.5(C15:Q8)480,64
C4.6(C15⋊Q8) = C20.Dic6φ: C15⋊Q8/C3×Dic5 → C2 ⊆ Aut C4480C4.6(C15:Q8)480,464
C4.7(C15⋊Q8) = C30.SD16φ: C15⋊Q8/Dic15 → C2 ⊆ Aut C4480C4.7(C15:Q8)480,62
C4.8(C15⋊Q8) = C30.20D8φ: C15⋊Q8/Dic15 → C2 ⊆ Aut C4480C4.8(C15:Q8)480,65
C4.9(C15⋊Q8) = C12.Dic10φ: C15⋊Q8/Dic15 → C2 ⊆ Aut C4480C4.9(C15:Q8)480,460
C4.10(C15⋊Q8) = C60.13Q8central extension (φ=1)480C4.10(C15:Q8)480,58
C4.11(C15⋊Q8) = C60.14Q8central extension (φ=1)480C4.11(C15:Q8)480,59
C4.12(C15⋊Q8) = C60.15Q8central extension (φ=1)480C4.12(C15:Q8)480,60

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