Extensions 1→N→G→Q→1 with N=D4 and Q=C40

Direct product G=N×Q with N=D4 and Q=C40
dρLabelID
D4×C40160D4xC40320,935

Semidirect products G=N:Q with N=D4 and Q=C40
extensionφ:Q→Out NdρLabelID
D4⋊C40 = C5×D4⋊C8φ: C40/C20C2 ⊆ Out D4160D4:C40320,130

Non-split extensions G=N.Q with N=D4 and Q=C40
extensionφ:Q→Out NdρLabelID
D4.C40 = C5×D4.C8φ: C40/C20C2 ⊆ Out D41602D4.C40320,155
D4.2C40 = C5×D4○C16φ: trivial image1602D4.2C40320,1005

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