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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
Q8×C60480Q8xC60480,924

Semidirect products G=N:Q with N=C15 and Q=C4×Q8
extensionφ:Q→Aut NdρLabelID
C15⋊1(C4×Q8) = F5×Dic6φ: C4×Q8/C4 → C2×C4 ⊆ Aut C151208-C15:1(C4xQ8)480,982
C15⋊2(C4×Q8) = Dic6⋊5F5φ: C4×Q8/C4 → C2×C4 ⊆ Aut C151208-C15:2(C4xQ8)480,984
C15⋊3(C4×Q8) = Dic5⋊5Dic6φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:3(C4xQ8)480,399
C15⋊4(C4×Q8) = Dic3⋊5Dic10φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:4(C4xQ8)480,400
C15⋊5(C4×Q8) = Dic15⋊5Q8φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:5(C4xQ8)480,401
C15⋊6(C4×Q8) = Dic3×Dic10φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:6(C4xQ8)480,406
C15⋊7(C4×Q8) = Dic15⋊6Q8φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:7(C4xQ8)480,407
C15⋊8(C4×Q8) = Dic5×Dic6φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:8(C4xQ8)480,408
C15⋊9(C4×Q8) = Dic30⋊17C4φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:9(C4xQ8)480,409
C15⋊10(C4×Q8) = Dic30⋊14C4φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:10(C4xQ8)480,416
C15⋊11(C4×Q8) = Dic15⋊7Q8φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:11(C4xQ8)480,420
C15⋊12(C4×Q8) = C4×C15⋊Q8φ: C4×Q8/C2×C4 → C22 ⊆ Aut C15480C15:12(C4xQ8)480,543
C15⋊13(C4×Q8) = Q8×C3⋊F5φ: C4×Q8/Q8 → C4 ⊆ Aut C151208C15:13(C4xQ8)480,1069
C15⋊14(C4×Q8) = C3×Q8×F5φ: C4×Q8/Q8 → C4 ⊆ Aut C151208C15:14(C4xQ8)480,1056
C15⋊15(C4×Q8) = C4×Dic30φ: C4×Q8/C42 → C2 ⊆ Aut C15480C15:15(C4xQ8)480,833
C15⋊16(C4×Q8) = C12×Dic10φ: C4×Q8/C42 → C2 ⊆ Aut C15480C15:16(C4xQ8)480,661
C15⋊17(C4×Q8) = C20×Dic6φ: C4×Q8/C42 → C2 ⊆ Aut C15480C15:17(C4xQ8)480,747
C15⋊18(C4×Q8) = Dic15⋊10Q8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C15480C15:18(C4xQ8)480,852
C15⋊19(C4×Q8) = C3×Dic5⋊3Q8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C15480C15:19(C4xQ8)480,680
C15⋊20(C4×Q8) = C5×Dic6⋊C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C15480C15:20(C4xQ8)480,766
C15⋊21(C4×Q8) = Q8×Dic15φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C15480C15:21(C4xQ8)480,910
C15⋊22(C4×Q8) = C3×Q8×Dic5φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C15480C15:22(C4xQ8)480,738
C15⋊23(C4×Q8) = C5×Q8×Dic3φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C15480C15:23(C4xQ8)480,824


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