Extensions 1→N→G→Q→1 with N=Q8xC31 and Q=C2

Direct product G=NxQ with N=Q8xC31 and Q=C2
dρLabelID
Q8xC62496Q8xC62496,39

Semidirect products G=N:Q with N=Q8xC31 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC31):1C2 = Q8:D31φ: C2/C1C2 ⊆ Out Q8xC312484+(Q8xC31):1C2496,16
(Q8xC31):2C2 = Q8xD31φ: C2/C1C2 ⊆ Out Q8xC312484-(Q8xC31):2C2496,33
(Q8xC31):3C2 = Q8:2D31φ: C2/C1C2 ⊆ Out Q8xC312484+(Q8xC31):3C2496,34
(Q8xC31):4C2 = SD16xC31φ: C2/C1C2 ⊆ Out Q8xC312482(Q8xC31):4C2496,25
(Q8xC31):5C2 = C4oD4xC31φ: trivial image2482(Q8xC31):5C2496,40

Non-split extensions G=N.Q with N=Q8xC31 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC31).1C2 = C31:Q16φ: C2/C1C2 ⊆ Out Q8xC314964-(Q8xC31).1C2496,17
(Q8xC31).2C2 = Q16xC31φ: C2/C1C2 ⊆ Out Q8xC314962(Q8xC31).2C2496,26

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