Extensions 1→N→G→Q→1 with N=Q8 and Q=D13

Direct product G=N×Q with N=Q8 and Q=D13
dρLabelID
Q8×D131044-Q8xD13208,41

Semidirect products G=N:Q with N=Q8 and Q=D13
extensionφ:Q→Out NdρLabelID
Q8⋊D13 = Q8⋊D13φ: D13/C13C2 ⊆ Out Q81044+Q8:D13208,17
Q82D13 = D52⋊C2φ: trivial image1044+Q8:2D13208,42

Non-split extensions G=N.Q with N=Q8 and Q=D13
extensionφ:Q→Out NdρLabelID
Q8.D13 = C13⋊Q16φ: D13/C13C2 ⊆ Out Q82084-Q8.D13208,18

׿
×
𝔽