Extensions 1→N→G→Q→1 with N=D4 and Q=C46

Direct product G=NxQ with N=D4 and Q=C46
dρLabelID
D4xC46184D4xC46368,38

Semidirect products G=N:Q with N=D4 and Q=C46
extensionφ:Q→Out NdρLabelID
D4:C46 = D8xC23φ: C46/C23C2 ⊆ Out D41842D4:C46368,24
D4:2C46 = C4oD4xC23φ: trivial image1842D4:2C46368,40

Non-split extensions G=N.Q with N=D4 and Q=C46
extensionφ:Q→Out NdρLabelID
D4.C46 = SD16xC23φ: C46/C23C2 ⊆ Out D41842D4.C46368,25

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