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Extensions 1→N→G→Q→1 with N=C15 and Q=C4⋊C8

Direct product G=N×Q with N=C15 and Q=C4⋊C8
dρLabelID
C15×C4⋊C8480C15xC4:C8480,208

Semidirect products G=N:Q with N=C15 and Q=C4⋊C8
extensionφ:Q→Aut NdρLabelID
C15⋊1(C4⋊C8) = C30.4M4(2)φ: C4⋊C8/C22 → C2×C4 ⊆ Aut C15480C15:1(C4:C8)480,252
C15⋊2(C4⋊C8) = Dic15⋊C8φ: C4⋊C8/C22 → C2×C4 ⊆ Aut C15480C15:2(C4:C8)480,253
C15⋊3(C4⋊C8) = C60⋊C8φ: C4⋊C8/C2×C4 → C4 ⊆ Aut C15480C15:3(C4:C8)480,306
C15⋊4(C4⋊C8) = Dic5.13D12φ: C4⋊C8/C2×C4 → C4 ⊆ Aut C15480C15:4(C4:C8)480,309
C15⋊5(C4⋊C8) = C3×C20⋊C8φ: C4⋊C8/C2×C4 → C4 ⊆ Aut C15480C15:5(C4:C8)480,281
C15⋊6(C4⋊C8) = C3×Dic5⋊C8φ: C4⋊C8/C2×C4 → C4 ⊆ Aut C15480C15:6(C4:C8)480,284
C15⋊7(C4⋊C8) = C60.13Q8φ: C4⋊C8/C2×C4 → C22 ⊆ Aut C15480C15:7(C4:C8)480,58
C15⋊8(C4⋊C8) = C60.14Q8φ: C4⋊C8/C2×C4 → C22 ⊆ Aut C15480C15:8(C4:C8)480,59
C15⋊9(C4⋊C8) = C60.15Q8φ: C4⋊C8/C2×C4 → C22 ⊆ Aut C15480C15:9(C4:C8)480,60
C15⋊10(C4⋊C8) = C60⋊5C8φ: C4⋊C8/C42 → C2 ⊆ Aut C15480C15:10(C4:C8)480,164
C15⋊11(C4⋊C8) = C3×C20⋊3C8φ: C4⋊C8/C42 → C2 ⊆ Aut C15480C15:11(C4:C8)480,82
C15⋊12(C4⋊C8) = C5×C12⋊C8φ: C4⋊C8/C42 → C2 ⊆ Aut C15480C15:12(C4:C8)480,123
C15⋊13(C4⋊C8) = C60.26Q8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C15480C15:13(C4:C8)480,174
C15⋊14(C4⋊C8) = C3×C20.8Q8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C15480C15:14(C4:C8)480,92
C15⋊15(C4⋊C8) = C5×Dic3⋊C8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C15480C15:15(C4:C8)480,133


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