Extensions 1→N→G→Q→1 with N=D4xC31 and Q=C2

Direct product G=NxQ with N=D4xC31 and Q=C2
dρLabelID
D4xC62248D4xC62496,38

Semidirect products G=N:Q with N=D4xC31 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC31):1C2 = D4:D31φ: C2/C1C2 ⊆ Out D4xC312484+(D4xC31):1C2496,14
(D4xC31):2C2 = D4xD31φ: C2/C1C2 ⊆ Out D4xC311244+(D4xC31):2C2496,31
(D4xC31):3C2 = D4:2D31φ: C2/C1C2 ⊆ Out D4xC312484-(D4xC31):3C2496,32
(D4xC31):4C2 = D8xC31φ: C2/C1C2 ⊆ Out D4xC312482(D4xC31):4C2496,24
(D4xC31):5C2 = C4oD4xC31φ: trivial image2482(D4xC31):5C2496,40

Non-split extensions G=N.Q with N=D4xC31 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC31).1C2 = D4.D31φ: C2/C1C2 ⊆ Out D4xC312484-(D4xC31).1C2496,15
(D4xC31).2C2 = SD16xC31φ: C2/C1C2 ⊆ Out D4xC312482(D4xC31).2C2496,25

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