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

Direct product G=N×Q with N=C15 and Q=C4⋊Q8
dρLabelID
C15×C4⋊Q8480C15xC4:Q8480,933

Semidirect products G=N:Q with N=C15 and Q=C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C15⋊1(C4⋊Q8) = Dic15⋊1Q8φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:1(C4:Q8)480,403
C15⋊2(C4⋊Q8) = Dic3⋊Dic10φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:2(C4:Q8)480,404
C15⋊3(C4⋊Q8) = Dic15⋊Q8φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:3(C4:Q8)480,405
C15⋊4(C4⋊Q8) = Dic5⋊Dic6φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:4(C4:Q8)480,452
C15⋊5(C4⋊Q8) = Dic15⋊8Q8φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:5(C4:Q8)480,461
C15⋊6(C4⋊Q8) = C60.48D4φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:6(C4:Q8)480,465
C15⋊7(C4⋊Q8) = C60⋊Q8φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:7(C4:Q8)480,544
C15⋊8(C4⋊Q8) = C20⋊4Dic6φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:8(C4:Q8)480,545
C15⋊9(C4⋊Q8) = C20⋊Dic6φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C15480C15:9(C4:Q8)480,546
C15⋊10(C4⋊Q8) = C60⋊8Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C15480C15:10(C4:Q8)480,834
C15⋊11(C4⋊Q8) = C3×C20⋊2Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C15480C15:11(C4:Q8)480,662
C15⋊12(C4⋊Q8) = C5×C12⋊2Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C15480C15:12(C4:Q8)480,748
C15⋊13(C4⋊Q8) = C4⋊Dic30φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C15480C15:13(C4:Q8)480,853
C15⋊14(C4⋊Q8) = C3×C20⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C15480C15:14(C4:Q8)480,681
C15⋊15(C4⋊Q8) = C5×C12⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C15480C15:15(C4:Q8)480,767
C15⋊16(C4⋊Q8) = Dic15⋊4Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C15480C15:16(C4:Q8)480,909
C15⋊17(C4⋊Q8) = C3×Dic5⋊Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C15480C15:17(C4:Q8)480,737
C15⋊18(C4⋊Q8) = C5×Dic3⋊Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C15480C15:18(C4:Q8)480,823


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