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

Direct product G=N×Q with N=Q8 and Q=F5
dρLabelID
Q8×F5408-Q8xF5160,209

Semidirect products G=N:Q with N=Q8 and Q=F5
extensionφ:Q→Out NdρLabelID
Q81F5 = Q8⋊F5φ: F5/D5C2 ⊆ Out Q8408-Q8:1F5160,84
Q82F5 = Q82F5φ: F5/D5C2 ⊆ Out Q8408+Q8:2F5160,85

Non-split extensions G=N.Q with N=Q8 and Q=F5
extensionφ:Q→Out NdρLabelID
Q8.F5 = Q8.F5φ: trivial image808+Q8.F5160,208

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