Extensions 1→N→G→Q→1 with N=C3 and Q=Dic5⋊3Q8

Direct product G=N×Q with N=C3 and Q=Dic5⋊3Q8
dρLabelID
C3×Dic5⋊3Q8480C3xDic5:3Q8480,680

Semidirect products G=N:Q with N=C3 and Q=Dic5⋊3Q8
extensionφ:Q→Aut NdρLabelID
C3⋊1(Dic5⋊3Q8) = Dic5⋊5Dic6φ: Dic5⋊3Q8/C4×Dic5 → C2 ⊆ Aut C3480C3:1(Dic5:3Q8)480,399
C3⋊2(Dic5⋊3Q8) = Dic30⋊17C4φ: Dic5⋊3Q8/C4×Dic5 → C2 ⊆ Aut C3480C3:2(Dic5:3Q8)480,409
C3⋊3(Dic5⋊3Q8) = Dic15⋊5Q8φ: Dic5⋊3Q8/C10.D4 → C2 ⊆ Aut C3480C3:3(Dic5:3Q8)480,401
C3⋊4(Dic5⋊3Q8) = Dic15⋊10Q8φ: Dic5⋊3Q8/C5×C4⋊C4 → C2 ⊆ Aut C3480C3:4(Dic5:3Q8)480,852
C3⋊5(Dic5⋊3Q8) = Dic15⋊6Q8φ: Dic5⋊3Q8/C2×Dic10 → C2 ⊆ Aut C3480C3:5(Dic5:3Q8)480,407


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