Extensions 1→N→G→Q→1 with N=D4 and Q=D31

Direct product G=N×Q with N=D4 and Q=D31
dρLabelID
D4×D311244+D4xD31496,31

Semidirect products G=N:Q with N=D4 and Q=D31
extensionφ:Q→Out NdρLabelID
D4⋊D31 = D4⋊D31φ: D31/C31C2 ⊆ Out D42484+D4:D31496,14
D42D31 = D42D31φ: trivial image2484-D4:2D31496,32

Non-split extensions G=N.Q with N=D4 and Q=D31
extensionφ:Q→Out NdρLabelID
D4.D31 = D4.D31φ: D31/C31C2 ⊆ Out D42484-D4.D31496,15

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