Extensions 1→N→G→Q→1 with N=D4 and Q=C3⋊F5

Direct product G=N×Q with N=D4 and Q=C3⋊F5
dρLabelID
D4×C3⋊F5608D4xC3:F5480,1067

Semidirect products G=N:Q with N=D4 and Q=C3⋊F5
extensionφ:Q→Out NdρLabelID
D41(C3⋊F5) = D20⋊Dic3φ: C3⋊F5/C3×D5C2 ⊆ Out D41208D4:1(C3:F5)480,312
D42(C3⋊F5) = Dic10⋊Dic3φ: C3⋊F5/C3×D5C2 ⊆ Out D41208D4:2(C3:F5)480,313

Non-split extensions G=N.Q with N=D4 and Q=C3⋊F5
extensionφ:Q→Out NdρLabelID
D4.(C3⋊F5) = Dic10.Dic3φ: trivial image2408D4.(C3:F5)480,1066

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