Extensions 1→N→G→Q→1 with N=D4 and Q=D23

Direct product G=N×Q with N=D4 and Q=D23
dρLabelID
D4×D23924+D4xD23368,31

Semidirect products G=N:Q with N=D4 and Q=D23
extensionφ:Q→Out NdρLabelID
D4⋊D23 = D4⋊D23φ: D23/C23C2 ⊆ Out D41844+D4:D23368,14
D42D23 = D42D23φ: trivial image1844-D4:2D23368,32

Non-split extensions G=N.Q with N=D4 and Q=D23
extensionφ:Q→Out NdρLabelID
D4.D23 = D4.D23φ: D23/C23C2 ⊆ Out D41844-D4.D23368,15

׿
×
𝔽