Extensions 1→N→G→Q→1 with N=Q8 and Q=C3⋊F5

Direct product G=N×Q with N=Q8 and Q=C3⋊F5
dρLabelID
Q8×C3⋊F51208Q8xC3:F5480,1069

Semidirect products G=N:Q with N=Q8 and Q=C3⋊F5
extensionφ:Q→Out NdρLabelID
Q8⋊(C3⋊F5) = D10.S4φ: C3⋊F5/D5S3 ⊆ Out Q8408-Q8:(C3:F5)480,962
Q82(C3⋊F5) = Dic102Dic3φ: C3⋊F5/C3×D5C2 ⊆ Out Q81208Q8:2(C3:F5)480,314
Q83(C3⋊F5) = D202Dic3φ: C3⋊F5/C3×D5C2 ⊆ Out Q81208Q8:3(C3:F5)480,315

Non-split extensions G=N.Q with N=Q8 and Q=C3⋊F5
extensionφ:Q→Out NdρLabelID
Q8.(C3⋊F5) = C5⋊U2(𝔽3)φ: C3⋊F5/D5S3 ⊆ Out Q81208+Q8.(C3:F5)480,961
Q8.2(C3⋊F5) = D20.Dic3φ: trivial image2408Q8.2(C3:F5)480,1068

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