Extensions 1→N→G→Q→1 with N=Q8 and Q=D31

Direct product G=NxQ with N=Q8 and Q=D31
dρLabelID
Q8xD312484-Q8xD31496,33

Semidirect products G=N:Q with N=Q8 and Q=D31
extensionφ:Q→Out NdρLabelID
Q8:D31 = Q8:D31φ: D31/C31C2 ⊆ Out Q82484+Q8:D31496,16
Q8:2D31 = Q8:2D31φ: trivial image2484+Q8:2D31496,34

Non-split extensions G=N.Q with N=Q8 and Q=D31
extensionφ:Q→Out NdρLabelID
Q8.D31 = C31:Q16φ: D31/C31C2 ⊆ Out Q84964-Q8.D31496,17

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